id sid tid token lemma pos bracis-19055 1 1 anomaly anomaly NOUN bracis-19055 1 2 detection detection NOUN bracis-19055 1 3 in in ADP bracis-19055 1 4 brazilian brazilian ADJ bracis-19055 1 5 federal federal ADJ bracis-19055 1 6 government government NOUN bracis-19055 1 7 purchase purchase NOUN bracis-19055 1 8 cards card NOUN bracis-19055 1 9 through through ADP bracis-19055 1 10 unsupervised unsupervised ADJ bracis-19055 1 11 learning learning NOUN bracis-19055 1 12 techniques technique NOUN bracis-19055 1 13 | | ADV bracis-19055 1 14 springer springer NOUN bracis-19055 1 15 nature nature PROPN bracis-19055 1 16 link link PROPN bracis-19055 1 17 ( ( PUNCT bracis-19055 1 18 formerly formerly ADV bracis-19055 1 19 springerlink springerlink NOUN bracis-19055 1 20 ) ) PUNCT bracis-19055 1 21 skip skip VERB bracis-19055 1 22 to to ADP bracis-19055 1 23 main main ADJ bracis-19055 1 24 content content NOUN bracis-19055 1 25 advertisement advertisement NOUN bracis-19055 1 26 log log NOUN bracis-19055 1 27 in in ADP bracis-19055 1 28 menu menu NOUN bracis-19055 1 29 find find VERB bracis-19055 1 30 a a DET bracis-19055 1 31 journal journal NOUN bracis-19055 1 32 publish publish VERB bracis-19055 1 33 with with ADP bracis-19055 1 34 us we PRON bracis-19055 1 35 track track VERB bracis-19055 1 36 your your PRON bracis-19055 1 37 research research NOUN bracis-19055 1 38 search search NOUN bracis-19055 1 39 cart cart NOUN bracis-19055 1 40 home home NOUN bracis-19055 1 41 intelligent intelligent ADJ bracis-19055 1 42 systems system NOUN bracis-19055 1 43 conference conference NOUN bracis-19055 1 44 paper paper NOUN bracis-19055 1 45 anomaly anomaly NOUN bracis-19055 1 46 detection detection NOUN bracis-19055 1 47 in in ADP bracis-19055 1 48 brazilian brazilian ADJ bracis-19055 1 49 federal federal ADJ bracis-19055 1 50 government government NOUN bracis-19055 1 51 purchase purchase NOUN bracis-19055 1 52 cards card NOUN bracis-19055 1 53 through through ADP bracis-19055 1 54 unsupervised unsupervised ADJ bracis-19055 1 55 learning learning NOUN bracis-19055 1 56 techniques technique NOUN bracis-19055 1 57 conference conference NOUN bracis-19055 1 58 paper paper NOUN bracis-19055 1 59 first first ADV bracis-19055 1 60 online online ADV bracis-19055 1 61 : : PUNCT bracis-19055 1 62 28 28 NUM bracis-19055 1 63 november november PROPN bracis-19055 1 64 2021 2021 NUM bracis-19055 2 1 pp pp ADP bracis-19055 2 2 19–32 19–32 NUM bracis-19055 2 3 cite cite VERB bracis-19055 2 4 this this DET bracis-19055 2 5 conference conference NOUN bracis-19055 2 6 paper paper NOUN bracis-19055 2 7 access access NOUN bracis-19055 2 8 provided provide VERB bracis-19055 2 9 by by ADP bracis-19055 2 10 university university PROPN bracis-19055 2 11 of of ADP bracis-19055 2 12 notre notre PROPN bracis-19055 2 13 dame dame PROPN bracis-19055 2 14 hesburgh hesburgh PROPN bracis-19055 2 15 library library PROPN bracis-19055 2 16 download download PROPN bracis-19055 2 17 book book NOUN bracis-19055 2 18 pdf pdf PROPN bracis-19055 2 19 download download NOUN bracis-19055 2 20 book book NOUN bracis-19055 2 21 epub epub PROPN bracis-19055 2 22 intelligent intelligent ADJ bracis-19055 2 23 systems system NOUN bracis-19055 2 24 ( ( PUNCT bracis-19055 2 25 bracis bracis NOUN bracis-19055 2 26 2021 2021 NUM bracis-19055 2 27 ) ) PUNCT bracis-19055 2 28 anomaly anomaly NOUN bracis-19055 2 29 detection detection NOUN bracis-19055 2 30 in in ADP bracis-19055 2 31 brazilian brazilian ADJ bracis-19055 2 32 federal federal ADJ bracis-19055 2 33 government government NOUN bracis-19055 2 34 purchase purchase NOUN bracis-19055 2 35 cards card NOUN bracis-19055 2 36 through through ADP bracis-19055 2 37 unsupervised unsupervised ADJ bracis-19055 2 38 learning learning NOUN bracis-19055 2 39 techniques technique NOUN bracis-19055 2 40 download download NOUN bracis-19055 2 41 book book NOUN bracis-19055 2 42 pdf pdf PROPN bracis-19055 2 43 download download NOUN bracis-19055 2 44 book book PROPN bracis-19055 2 45 epub epub PROPN bracis-19055 2 46 breno breno PROPN bracis-19055 2 47 nunes nunes PROPN bracis-19055 2 48     SPACE bracis-19055 2 49 orcid orcid NOUN bracis-19055 2 50 : : PUNCT bracis-19055 2 51 orcid.org/0000-0002-5854-928810 orcid.org/0000-0002-5854-928810 PROPN bracis-19055 2 52 , , PUNCT bracis-19055 2 53 tiago tiago PROPN bracis-19055 2 54 colliri colliri PROPN bracis-19055 2 55     SPACE bracis-19055 2 56 orcid orcid NOUN bracis-19055 2 57 : : PUNCT bracis-19055 2 58 orcid.org/0000-0001-9233-466211 orcid.org/0000-0001-9233-466211 PROPN bracis-19055 2 59 , , PUNCT bracis-19055 2 60 marcelo marcelo PROPN bracis-19055 2 61 lauretto lauretto PROPN bracis-19055 2 62     SPACE bracis-19055 2 63 orcid orcid NOUN bracis-19055 2 64 : : PUNCT bracis-19055 2 65 orcid.org/0000-0001-5507-236812 orcid.org/0000-0001-5507-236812 ADJ bracis-19055 2 66 , , PUNCT bracis-19055 2 67 weiguang weiguang PROPN bracis-19055 2 68 liu13 liu13 PROPN bracis-19055 2 69 & & CCONJ bracis-19055 2 70 … … PUNCT bracis-19055 2 71 liang liang PROPN bracis-19055 2 72 zhao zhao PROPN bracis-19055 2 73     SPACE bracis-19055 2 74 orcid orcid NOUN bracis-19055 2 75 : : PUNCT bracis-19055 2 76 orcid.org/0000-0002-1502-660414 orcid.org/0000-0002-1502-660414 NOUN bracis-19055 2 77     SPACE bracis-19055 2 78 show show VERB bracis-19055 2 79 authors author NOUN bracis-19055 2 80 part part NOUN bracis-19055 2 81 of of ADP bracis-19055 2 82 the the DET bracis-19055 2 83 book book NOUN bracis-19055 2 84 series series NOUN bracis-19055 2 85 : : PUNCT bracis-19055 2 86 lecture lecture NOUN bracis-19055 2 87 notes note NOUN bracis-19055 2 88 in in ADP bracis-19055 2 89 computer computer NOUN bracis-19055 2 90 science science NOUN bracis-19055 2 91 ( ( PUNCT bracis-19055 2 92 ( ( PUNCT bracis-19055 2 93 lnai lnai ADJ bracis-19055 2 94 , , PUNCT bracis-19055 2 95 volume volume NOUN bracis-19055 2 96 13074 13074 NUM bracis-19055 2 97 ) ) PUNCT bracis-19055 2 98 ) ) PUNCT bracis-19055 2 99 included include VERB bracis-19055 2 100 in in ADP bracis-19055 2 101 the the DET bracis-19055 2 102 following follow VERB bracis-19055 2 103 conference conference NOUN bracis-19055 2 104 series series NOUN bracis-19055 2 105 : : PUNCT bracis-19055 2 106 brazilian brazilian ADJ bracis-19055 2 107 conference conference NOUN bracis-19055 2 108 on on ADP bracis-19055 2 109 intelligent intelligent ADJ bracis-19055 2 110 systems system NOUN bracis-19055 2 111 1250 1250 NUM bracis-19055 2 112 accesses access VERB bracis-19055 2 113 1 1 NUM bracis-19055 2 114 citation citation NOUN bracis-19055 2 115 abstract abstract NOUN bracis-19055 2 116 the the DET bracis-19055 2 117 federal federal ADJ bracis-19055 2 118 government government NOUN bracis-19055 2 119 purchase purchase NOUN bracis-19055 2 120 card card NOUN bracis-19055 2 121 ( ( PUNCT bracis-19055 2 122 cpgf cpgf NOUN bracis-19055 2 123 ) ) PUNCT bracis-19055 2 124 has have AUX bracis-19055 2 125 been be AUX bracis-19055 2 126 used use VERB bracis-19055 2 127 in in ADP bracis-19055 2 128 brazil brazil PROPN bracis-19055 2 129 since since SCONJ bracis-19055 2 130 2005 2005 NUM bracis-19055 2 131 , , PUNCT bracis-19055 2 132 allowing allow VERB bracis-19055 2 133 agencies agency NOUN bracis-19055 2 134 and and CCONJ bracis-19055 2 135 entities entity NOUN bracis-19055 2 136 of of ADP bracis-19055 2 137 the the DET bracis-19055 2 138 federal federal ADJ bracis-19055 2 139 public public ADJ bracis-19055 2 140 administration administration NOUN bracis-19055 2 141 to to PART bracis-19055 2 142 make make VERB bracis-19055 2 143 purchases purchase NOUN bracis-19055 2 144 of of ADP bracis-19055 2 145 material material NOUN bracis-19055 2 146 and and CCONJ bracis-19055 2 147 provision provision NOUN bracis-19055 2 148 of of ADP bracis-19055 2 149 services service NOUN bracis-19055 2 150 through through ADP bracis-19055 2 151 this this DET bracis-19055 2 152 method method NOUN bracis-19055 2 153 . . PUNCT bracis-19055 3 1 although although SCONJ bracis-19055 3 2 this this DET bracis-19055 3 3 payment payment NOUN bracis-19055 3 4 system system NOUN bracis-19055 3 5 offers offer VERB bracis-19055 3 6 several several ADJ bracis-19055 3 7 advances advance NOUN bracis-19055 3 8 , , PUNCT bracis-19055 3 9 in in ADP bracis-19055 3 10 the the DET bracis-19055 3 11 technological technological ADJ bracis-19055 3 12 and and CCONJ bracis-19055 3 13 administrative administrative ADJ bracis-19055 3 14 aspect aspect NOUN bracis-19055 3 15 , , PUNCT bracis-19055 3 16 it it PRON bracis-19055 3 17 is be AUX bracis-19055 3 18 also also ADV bracis-19055 3 19 susceptible susceptible ADJ bracis-19055 3 20 to to ADP bracis-19055 3 21 possible possible ADJ bracis-19055 3 22 cases case NOUN bracis-19055 3 23 of of ADP bracis-19055 3 24 card card NOUN bracis-19055 3 25 misuse misuse NOUN bracis-19055 3 26 and and CCONJ bracis-19055 3 27 , , PUNCT bracis-19055 3 28 consequently consequently ADV bracis-19055 3 29 , , PUNCT bracis-19055 3 30 waste waste NOUN bracis-19055 3 31 of of ADP bracis-19055 3 32 public public ADJ bracis-19055 3 33 funds fund NOUN bracis-19055 3 34 , , PUNCT bracis-19055 3 35 in in ADP bracis-19055 3 36 the the DET bracis-19055 3 37 form form NOUN bracis-19055 3 38 of of ADP bracis-19055 3 39 purchases purchase NOUN bracis-19055 3 40 that that PRON bracis-19055 3 41 do do AUX bracis-19055 3 42 not not PART bracis-19055 3 43 comply comply VERB bracis-19055 3 44 with with ADP bracis-19055 3 45 the the DET bracis-19055 3 46 terms term NOUN bracis-19055 3 47 of of ADP bracis-19055 3 48 the the DET bracis-19055 3 49 current current ADJ bracis-19055 3 50 legislation legislation NOUN bracis-19055 3 51 . . PUNCT bracis-19055 4 1 in in ADP bracis-19055 4 2 this this DET bracis-19055 4 3 work work NOUN bracis-19055 4 4 , , PUNCT bracis-19055 4 5 we we PRON bracis-19055 4 6 approach approach VERB bracis-19055 4 7 this this DET bracis-19055 4 8 problem problem NOUN bracis-19055 4 9 by by ADP bracis-19055 4 10 testing testing NOUN bracis-19055 4 11 and and CCONJ bracis-19055 4 12 evaluating evaluate VERB bracis-19055 4 13 unsupervised unsupervised ADJ bracis-19055 4 14 learning learning NOUN bracis-19055 4 15 techniques technique NOUN bracis-19055 4 16 on on ADP bracis-19055 4 17 detecting detect VERB bracis-19055 4 18 anomalies anomaly NOUN bracis-19055 4 19 in in ADP bracis-19055 4 20 cpgf cpgf VERB bracis-19055 4 21 historical historical ADJ bracis-19055 4 22 data datum NOUN bracis-19055 4 23 . . PUNCT bracis-19055 5 1 four four NUM bracis-19055 5 2 different different ADJ bracis-19055 5 3 methods method NOUN bracis-19055 5 4 are be AUX bracis-19055 5 5 considered consider VERB bracis-19055 5 6 for for ADP bracis-19055 5 7 this this DET bracis-19055 5 8 task task NOUN bracis-19055 5 9 : : PUNCT bracis-19055 5 10 k k X bracis-19055 5 11 - - PUNCT bracis-19055 5 12 means means ADJ bracis-19055 5 13 , , PUNCT bracis-19055 5 14 agglomerative agglomerative ADJ bracis-19055 5 15 clustering clustering NOUN bracis-19055 5 16 , , PUNCT bracis-19055 5 17 a a DET bracis-19055 5 18 network network NOUN bracis-19055 5 19 - - PUNCT bracis-19055 5 20 based base VERB bracis-19055 5 21 approach approach NOUN bracis-19055 5 22 , , PUNCT bracis-19055 5 23 which which PRON bracis-19055 5 24 is be AUX bracis-19055 5 25 also also ADV bracis-19055 5 26 introduced introduce VERB bracis-19055 5 27 in in ADP bracis-19055 5 28 this this DET bracis-19055 5 29 study study NOUN bracis-19055 5 30 , , PUNCT bracis-19055 5 31 and and CCONJ bracis-19055 5 32 a a DET bracis-19055 5 33 hybrid hybrid ADJ bracis-19055 5 34 model model NOUN bracis-19055 5 35 . . PUNCT bracis-19055 6 1 the the DET bracis-19055 6 2 experimental experimental ADJ bracis-19055 6 3 results result NOUN bracis-19055 6 4 obtained obtain VERB bracis-19055 6 5 indicate indicate VERB bracis-19055 6 6 that that SCONJ bracis-19055 6 7 unsupervised unsupervised ADJ bracis-19055 6 8 methods method NOUN bracis-19055 6 9 , , PUNCT bracis-19055 6 10 in in ADP bracis-19055 6 11 particular particular ADJ bracis-19055 6 12 the the DET bracis-19055 6 13 network network NOUN bracis-19055 6 14 - - PUNCT bracis-19055 6 15 based base VERB bracis-19055 6 16 approach approach NOUN bracis-19055 6 17 , , PUNCT bracis-19055 6 18 can can AUX bracis-19055 6 19 indeed indeed ADV bracis-19055 6 20 help help VERB bracis-19055 6 21 in in ADP bracis-19055 6 22 the the DET bracis-19055 6 23 task task NOUN bracis-19055 6 24 of of ADP bracis-19055 6 25 monitoring monitor VERB bracis-19055 6 26 government government NOUN bracis-19055 6 27 purchase purchase NOUN bracis-19055 6 28 card card NOUN bracis-19055 6 29 expenses expense NOUN bracis-19055 6 30 , , PUNCT bracis-19055 6 31 by by ADP bracis-19055 6 32 flagging flag VERB bracis-19055 6 33 suspect suspect ADJ bracis-19055 6 34 transactions transaction NOUN bracis-19055 6 35 for for ADP bracis-19055 6 36 further further ADJ bracis-19055 6 37 investigation investigation NOUN bracis-19055 6 38 without without ADP bracis-19055 6 39 requiring require VERB bracis-19055 6 40 the the DET bracis-19055 6 41 presence presence NOUN bracis-19055 6 42 of of ADP bracis-19055 6 43 a a DET bracis-19055 6 44 specialist specialist NOUN bracis-19055 6 45 in in ADP bracis-19055 6 46 this this DET bracis-19055 6 47 process process NOUN bracis-19055 6 48 . . PUNCT bracis-19055 7 1 this this DET bracis-19055 7 2 research research NOUN bracis-19055 7 3 was be AUX bracis-19055 7 4 funded fund VERB bracis-19055 7 5 by by ADP bracis-19055 7 6 cepid cepid PROPN bracis-19055 7 7 - - PUNCT bracis-19055 7 8 cemeai cemeai ADJ bracis-19055 7 9 – – PUNCT bracis-19055 7 10 center center NOUN bracis-19055 7 11 for for ADP bracis-19055 7 12 mathematical mathematical ADJ bracis-19055 7 13 sciences science NOUN bracis-19055 7 14 applied apply VERB bracis-19055 7 15 to to ADP bracis-19055 7 16 industry industry NOUN bracis-19055 7 17 ( ( PUNCT bracis-19055 7 18 grant grant VERB bracis-19055 7 19 2013/07375 2013/07375 NUM bracis-19055 7 20 - - SYM bracis-19055 7 21 0 0 NUM bracis-19055 7 22 , , PUNCT bracis-19055 7 23 sao sao PROPN bracis-19055 7 24 paulo paulo PROPN bracis-19055 7 25 research research PROPN bracis-19055 7 26 foundation foundation PROPN bracis-19055 7 27 – – PUNCT bracis-19055 7 28 fapesp fapesp NOUN bracis-19055 7 29 ) ) PUNCT bracis-19055 7 30 , , PUNCT bracis-19055 7 31 and and CCONJ bracis-19055 7 32 was be AUX bracis-19055 7 33 carried carry VERB bracis-19055 7 34 out out ADP bracis-19055 7 35 at at ADP bracis-19055 7 36 the the DET bracis-19055 7 37 center center NOUN bracis-19055 7 38 for for ADP bracis-19055 7 39 artificial artificial ADJ bracis-19055 7 40 intelligence intelligence NOUN bracis-19055 7 41 ( ( PUNCT bracis-19055 7 42 c4ai c4ai NOUN bracis-19055 7 43 - - PUNCT bracis-19055 7 44 usp usp NOUN bracis-19055 7 45 ) ) PUNCT bracis-19055 7 46 , , PUNCT bracis-19055 7 47 with with ADP bracis-19055 7 48 also also ADV bracis-19055 7 49 support support VERB bracis-19055 7 50 from from ADP bracis-19055 7 51 the the DET bracis-19055 7 52 sao sao PROPN bracis-19055 7 53 paulo paulo PROPN bracis-19055 7 54 research research PROPN bracis-19055 7 55 foundation foundation PROPN bracis-19055 7 56 ( ( PUNCT bracis-19055 7 57 fapesp fapesp NOUN bracis-19055 7 58 ) ) PUNCT bracis-19055 7 59 under under ADP bracis-19055 7 60 grant grant NOUN bracis-19055 7 61 number number NOUN bracis-19055 7 62 : : PUNCT bracis-19055 7 63 2019/07665 2019/07665 NUM bracis-19055 7 64 - - SYM bracis-19055 7 65 4 4 NUM bracis-19055 7 66 and and CCONJ bracis-19055 7 67 by by ADP bracis-19055 7 68 the the DET bracis-19055 7 69 ibm ibm PROPN bracis-19055 7 70 corporation corporation NOUN bracis-19055 7 71 . . PUNCT bracis-19055 8 1 this this DET bracis-19055 8 2 work work NOUN bracis-19055 8 3 is be AUX bracis-19055 8 4 also also ADV bracis-19055 8 5 supported support VERB bracis-19055 8 6 in in ADP bracis-19055 8 7 part part NOUN bracis-19055 8 8 by by ADP bracis-19055 8 9 fapesp fapesp NOUN bracis-19055 8 10 under under ADP bracis-19055 8 11 grant grant NOUN bracis-19055 8 12 numbers number NOUN bracis-19055 8 13 2015/50122 2015/50122 NUM bracis-19055 8 14 - - SYM bracis-19055 8 15 0 0 NUM bracis-19055 8 16 , , PUNCT bracis-19055 8 17 the the DET bracis-19055 8 18 brazilian brazilian ADJ bracis-19055 8 19 national national PROPN bracis-19055 8 20 council council PROPN bracis-19055 8 21 for for ADP bracis-19055 8 22 scientific scientific ADJ bracis-19055 8 23 and and CCONJ bracis-19055 8 24 technological technological ADJ bracis-19055 8 25 development development NOUN bracis-19055 8 26 ( ( PUNCT bracis-19055 8 27 cnpq cnpq NOUN bracis-19055 8 28 ) ) PUNCT bracis-19055 8 29 under under ADP bracis-19055 8 30 grant grant NOUN bracis-19055 8 31 number number NOUN bracis-19055 8 32 303199/2019 303199/2019 NUM bracis-19055 8 33 - - SYM bracis-19055 8 34 9 9 NUM bracis-19055 8 35 , , PUNCT bracis-19055 8 36 and and CCONJ bracis-19055 8 37 the the DET bracis-19055 8 38 ministry ministry PROPN bracis-19055 8 39 of of ADP bracis-19055 8 40 science science NOUN bracis-19055 8 41 and and CCONJ bracis-19055 8 42 technology technology NOUN bracis-19055 8 43 of of ADP bracis-19055 8 44 china china PROPN bracis-19055 8 45 under under ADP bracis-19055 8 46 grant grant NOUN bracis-19055 8 47 number number NOUN bracis-19055 8 48 : : PUNCT bracis-19055 8 49 g20200226015 g20200226015 ADJ bracis-19055 8 50 access access NOUN bracis-19055 8 51 provided provide VERB bracis-19055 8 52 by by ADP bracis-19055 8 53 university university PROPN bracis-19055 8 54 of of ADP bracis-19055 8 55 notre notre PROPN bracis-19055 8 56 dame dame PROPN bracis-19055 8 57 hesburgh hesburgh PROPN bracis-19055 8 58 library library PROPN bracis-19055 8 59 . . PUNCT bracis-19055 9 1 download download PROPN bracis-19055 9 2 conference conference NOUN bracis-19055 9 3 paper paper NOUN bracis-19055 9 4 pdf pdf NOUN bracis-19055 9 5 similar similar ADJ bracis-19055 9 6 content content NOUN bracis-19055 9 7 being be AUX bracis-19055 9 8 viewed view VERB bracis-19055 9 9 by by ADP bracis-19055 9 10 others other NOUN bracis-19055 9 11 wave wave NOUN bracis-19055 9 12 hedges hedge NOUN bracis-19055 9 13 distance distance NOUN bracis-19055 9 14 - - PUNCT bracis-19055 9 15 based base VERB bracis-19055 9 16 feature feature NOUN bracis-19055 9 17 fusion fusion NOUN bracis-19055 9 18 and and CCONJ bracis-19055 9 19 hybrid hybrid NOUN bracis-19055 9 20 optimization optimization NOUN bracis-19055 9 21 - - PUNCT bracis-19055 9 22 enabled enable VERB bracis-19055 9 23 deep deep ADJ bracis-19055 9 24 learning learning NOUN bracis-19055 9 25 for for ADP bracis-19055 9 26 cyber cyber ADJ bracis-19055 9 27 credit credit NOUN bracis-19055 9 28 card card NOUN bracis-19055 9 29 fraud fraud NOUN bracis-19055 9 30 detection detection NOUN bracis-19055 9 31 article article NOUN bracis-19055 9 32 24 24 NUM bracis-19055 9 33 july july PROPN bracis-19055 9 34 2024 2024 NUM bracis-19055 9 35 enhancing enhance VERB bracis-19055 9 36 credit credit NOUN bracis-19055 9 37 card card NOUN bracis-19055 9 38 fraud fraud NOUN bracis-19055 9 39 detection detection NOUN bracis-19055 9 40 using use VERB bracis-19055 9 41 knowledge knowledge NOUN bracis-19055 9 42 graphs graph NOUN bracis-19055 9 43 and and CCONJ bracis-19055 9 44     SPACE bracis-19055 9 45 centralities centrality NOUN bracis-19055 9 46 chapter chapter NOUN bracis-19055 9 47 © © PROPN bracis-19055 9 48 2025 2025 NUM bracis-19055 9 49 impact impact NOUN bracis-19055 9 50 of of ADP bracis-19055 9 51 boosting boost VERB bracis-19055 9 52 techniques technique NOUN bracis-19055 9 53 in in ADP bracis-19055 9 54 ai ai ADV bracis-19055 9 55 - - PUNCT bracis-19055 9 56 based base VERB bracis-19055 9 57 credit credit NOUN bracis-19055 9 58 card card NOUN bracis-19055 9 59 fraud fraud NOUN bracis-19055 9 60 detection detection NOUN bracis-19055 9 61 classifier classifier NOUN bracis-19055 9 62 chapter chapter NOUN bracis-19055 9 63 © © PROPN bracis-19055 9 64 2023 2023 NUM bracis-19055 9 65 explore explore VERB bracis-19055 9 66 related relate VERB bracis-19055 9 67 subjects subject NOUN bracis-19055 9 68 discover discover VERB bracis-19055 9 69 the the DET bracis-19055 9 70 latest late ADJ bracis-19055 9 71 articles article NOUN bracis-19055 9 72 , , PUNCT bracis-19055 9 73 books book NOUN bracis-19055 9 74 and and CCONJ bracis-19055 9 75 news news NOUN bracis-19055 9 76 in in ADP bracis-19055 9 77 related related ADJ bracis-19055 9 78 subjects subject NOUN bracis-19055 9 79 , , PUNCT bracis-19055 9 80 suggested suggest VERB bracis-19055 9 81 using use VERB bracis-19055 9 82 machine machine NOUN bracis-19055 9 83 learning learning NOUN bracis-19055 9 84 . . PUNCT bracis-19055 10 1 data datum NOUN bracis-19055 10 2 mining mining NOUN bracis-19055 10 3 and and CCONJ bracis-19055 10 4 knowledge knowledge NOUN bracis-19055 10 5 discovery discovery PROPN bracis-19055 10 6 data data PROPN bracis-19055 10 7 mining mining NOUN bracis-19055 10 8 machine machine NOUN bracis-19055 10 9 learning learn VERB bracis-19055 10 10 public public ADJ bracis-19055 10 11 economics economic NOUN bracis-19055 10 12 public public ADJ bracis-19055 10 13 finance finance NOUN bracis-19055 10 14 public public ADJ bracis-19055 10 15 sector sector NOUN bracis-19055 10 16 studies study NOUN bracis-19055 10 17 1 1 NUM bracis-19055 10 18 introduction introduction NOUN bracis-19055 10 19 in in ADP bracis-19055 10 20 the the DET bracis-19055 10 21 last last ADJ bracis-19055 10 22 years year NOUN bracis-19055 10 23 , , PUNCT bracis-19055 10 24 the the DET bracis-19055 10 25 credit credit NOUN bracis-19055 10 26 card card NOUN bracis-19055 10 27 market market NOUN bracis-19055 10 28 has have AUX bracis-19055 10 29 been be AUX bracis-19055 10 30 rapidly rapidly ADV bracis-19055 10 31 increasing increase VERB bracis-19055 10 32 in in ADP bracis-19055 10 33 brazil brazil PROPN bracis-19055 10 34 and and CCONJ bracis-19055 10 35 worldwide worldwide ADV bracis-19055 10 36 , , PUNCT bracis-19055 10 37 trading trade VERB bracis-19055 10 38 a a DET bracis-19055 10 39 total total ADJ bracis-19055 10 40 amount amount NOUN bracis-19055 10 41 of of ADP bracis-19055 10 42 more more ADJ bracis-19055 10 43 than than ADP bracis-19055 10 44 r$ r$ PROPN bracis-19055 10 45 1.1 1.1 NUM bracis-19055 10 46 trillion trillion NUM bracis-19055 10 47 in in ADP bracis-19055 10 48 2019 2019 NUM bracis-19055 10 49 , , PUNCT bracis-19055 10 50 only only ADV bracis-19055 10 51 in in ADP bracis-19055 10 52 brazil brazil PROPN bracis-19055 10 53 , , PUNCT bracis-19055 10 54 which which PRON bracis-19055 10 55 represents represent VERB bracis-19055 10 56 a a DET bracis-19055 10 57 growth growth NOUN bracis-19055 10 58 of of ADP bracis-19055 10 59 almost almost ADV bracis-19055 10 60 20 20 NUM bracis-19055 10 61 % % NOUN bracis-19055 10 62 over over ADP bracis-19055 10 63 the the DET bracis-19055 10 64 previous previous ADJ bracis-19055 10 65 year year NOUN bracis-19055 10 66 [ [ X bracis-19055 10 67 1 1 NUM bracis-19055 10 68 ] ] PUNCT bracis-19055 10 69 . . PUNCT bracis-19055 11 1 the the DET bracis-19055 11 2 availability availability NOUN bracis-19055 11 3 of of ADP bracis-19055 11 4 easy easy ADJ bracis-19055 11 5 to to PART bracis-19055 11 6 use use VERB bracis-19055 11 7 and and CCONJ bracis-19055 11 8 practicality practicality NOUN bracis-19055 11 9 led lead VERB bracis-19055 11 10 government government NOUN bracis-19055 11 11 agencies agency NOUN bracis-19055 11 12 from from ADP bracis-19055 11 13 several several ADJ bracis-19055 11 14 countries country NOUN bracis-19055 11 15 to to PART bracis-19055 11 16 also also ADV bracis-19055 11 17 adopt adopt VERB bracis-19055 11 18 the the DET bracis-19055 11 19 use use NOUN bracis-19055 11 20 of of ADP bracis-19055 11 21 this this DET bracis-19055 11 22 payment payment NOUN bracis-19055 11 23 method method NOUN bracis-19055 11 24 . . PUNCT bracis-19055 12 1 however however ADV bracis-19055 12 2 , , PUNCT bracis-19055 12 3 with with ADP bracis-19055 12 4 the the DET bracis-19055 12 5 credit credit NOUN bracis-19055 12 6 card card NOUN bracis-19055 12 7 market market NOUN bracis-19055 12 8 transacting transact VERB bracis-19055 12 9 increasingly increasingly ADV bracis-19055 12 10 larger large ADJ bracis-19055 12 11 volumes volume NOUN bracis-19055 12 12 , , PUNCT bracis-19055 12 13 the the DET bracis-19055 12 14 detection detection NOUN bracis-19055 12 15 of of ADP bracis-19055 12 16 fraud fraud NOUN bracis-19055 12 17 and and CCONJ bracis-19055 12 18 anomalies anomaly NOUN bracis-19055 12 19 has have AUX bracis-19055 12 20 become become VERB bracis-19055 12 21 one one NUM bracis-19055 12 22 of of ADP bracis-19055 12 23 the the DET bracis-19055 12 24 biggest big ADJ bracis-19055 12 25 challenges challenge NOUN bracis-19055 12 26 faced face VERB bracis-19055 12 27 by by ADP bracis-19055 12 28 companies company NOUN bracis-19055 12 29 in in ADP bracis-19055 12 30 this this DET bracis-19055 12 31 branch branch NOUN bracis-19055 13 1 [ [ X bracis-19055 13 2 18 18 NUM bracis-19055 13 3 ] ] PUNCT bracis-19055 13 4 . . PUNCT bracis-19055 14 1 it it PRON bracis-19055 14 2 is be AUX bracis-19055 14 3 estimated estimate VERB bracis-19055 14 4 that that SCONJ bracis-19055 14 5 , , PUNCT bracis-19055 14 6 annually annually ADV bracis-19055 14 7 , , PUNCT bracis-19055 14 8 fraud fraud NOUN bracis-19055 14 9 and and CCONJ bracis-19055 14 10 anomalies anomaly NOUN bracis-19055 14 11 in in ADP bracis-19055 14 12 the the DET bracis-19055 14 13 use use NOUN bracis-19055 14 14 of of ADP bracis-19055 14 15 credit credit NOUN bracis-19055 14 16 cards card NOUN bracis-19055 14 17 generate generate VERB bracis-19055 14 18 losses loss NOUN bracis-19055 14 19 of of ADP bracis-19055 14 20 billions billion NOUN bracis-19055 14 21 of of ADP bracis-19055 14 22 dollars dollar NOUN bracis-19055 14 23 worldwide worldwide ADV bracis-19055 14 24 . . PUNCT bracis-19055 15 1 in in ADP bracis-19055 15 2 brazil brazil PROPN bracis-19055 15 3 , , PUNCT bracis-19055 15 4 the the DET bracis-19055 15 5 federal federal ADJ bracis-19055 15 6 government government NOUN bracis-19055 15 7 purchase purchase NOUN bracis-19055 15 8 card card NOUN bracis-19055 15 9 ( ( PUNCT bracis-19055 15 10 cpgf cpgf NOUN bracis-19055 15 11 , , PUNCT bracis-19055 15 12 in in ADP bracis-19055 15 13 portuguese portuguese NOUN bracis-19055 15 14 ) ) PUNCT bracis-19055 15 15 was be AUX bracis-19055 15 16 instituted institute VERB bracis-19055 15 17 in in ADP bracis-19055 15 18 2001 2001 NUM bracis-19055 15 19 by by ADP bracis-19055 15 20 means mean NOUN bracis-19055 15 21 of of ADP bracis-19055 15 22 a a DET bracis-19055 15 23 presidential presidential ADJ bracis-19055 15 24 decree decree NOUN bracis-19055 15 25 , , PUNCT bracis-19055 15 26 but but CCONJ bracis-19055 15 27 its its PRON bracis-19055 15 28 use use NOUN bracis-19055 15 29 only only ADV bracis-19055 15 30 started start VERB bracis-19055 15 31 in in ADP bracis-19055 15 32 2005 2005 NUM bracis-19055 15 33 when when SCONJ bracis-19055 15 34 it it PRON bracis-19055 15 35 was be AUX bracis-19055 15 36 regulated regulate VERB bracis-19055 15 37 by by ADP bracis-19055 15 38 another another DET bracis-19055 15 39 presidential presidential ADJ bracis-19055 15 40 decree decree NOUN bracis-19055 16 1 [ [ X bracis-19055 16 2 17 17 NUM bracis-19055 16 3 ] ] PUNCT bracis-19055 16 4 . . PUNCT bracis-19055 17 1 the the DET bracis-19055 17 2 cpgf cpgf NOUN bracis-19055 17 3 allows allow VERB bracis-19055 17 4 agencies agency NOUN bracis-19055 17 5 and and CCONJ bracis-19055 17 6 entities entity NOUN bracis-19055 17 7 of of ADP bracis-19055 17 8 the the DET bracis-19055 17 9 federal federal ADJ bracis-19055 17 10 public public ADJ bracis-19055 17 11 administration administration NOUN bracis-19055 17 12 that that PRON bracis-19055 17 13 are be AUX bracis-19055 17 14 part part NOUN bracis-19055 17 15 of of ADP bracis-19055 17 16 the the DET bracis-19055 17 17 fiscal fiscal ADJ bracis-19055 17 18 budget budget NOUN bracis-19055 17 19 and and CCONJ bracis-19055 17 20 of of ADP bracis-19055 17 21 the the DET bracis-19055 17 22 social social ADJ bracis-19055 17 23 security security NOUN bracis-19055 17 24 to to PART bracis-19055 17 25 make make VERB bracis-19055 17 26 purchases purchase NOUN bracis-19055 17 27 of of ADP bracis-19055 17 28 material material NOUN bracis-19055 17 29 and and CCONJ bracis-19055 17 30 provision provision NOUN bracis-19055 17 31 of of ADP bracis-19055 17 32 services service NOUN bracis-19055 17 33 , , PUNCT bracis-19055 17 34 under under ADP bracis-19055 17 35 the the DET bracis-19055 17 36 terms term NOUN bracis-19055 17 37 of of ADP bracis-19055 17 38 the the DET bracis-19055 17 39 current current ADJ bracis-19055 17 40 legislation legislation NOUN bracis-19055 17 41 . . PUNCT bracis-19055 18 1 the the DET bracis-19055 18 2 cpgf cpgf NOUN bracis-19055 18 3 is be AUX bracis-19055 18 4 issued issue VERB bracis-19055 18 5 in in ADP bracis-19055 18 6 the the DET bracis-19055 18 7 name name NOUN bracis-19055 18 8 of of ADP bracis-19055 18 9 the the DET bracis-19055 18 10 management management NOUN bracis-19055 18 11 unit unit NOUN bracis-19055 18 12 of of ADP bracis-19055 18 13 each each DET bracis-19055 18 14 agency agency NOUN bracis-19055 18 15 , , PUNCT bracis-19055 18 16 with with ADP bracis-19055 18 17 the the DET bracis-19055 18 18 nominal nominal ADJ bracis-19055 18 19 identification identification NOUN bracis-19055 18 20 of of ADP bracis-19055 18 21 its its PRON bracis-19055 18 22 bearer bearer NOUN bracis-19055 18 23 . . PUNCT bracis-19055 19 1 due due ADP bracis-19055 19 2 to to ADP bracis-19055 19 3 its its PRON bracis-19055 19 4 specificity specificity NOUN bracis-19055 19 5 , , PUNCT bracis-19055 19 6 the the DET bracis-19055 19 7 main main ADJ bracis-19055 19 8 concern concern NOUN bracis-19055 19 9 regarding regard VERB bracis-19055 19 10 the the DET bracis-19055 19 11 cpgf cpgf NOUN bracis-19055 19 12 is be AUX bracis-19055 19 13 not not PART bracis-19055 19 14 related relate VERB bracis-19055 19 15 to to PART bracis-19055 19 16 fraud fraud VERB bracis-19055 19 17 – – PUNCT bracis-19055 19 18 in in ADP bracis-19055 19 19 the the DET bracis-19055 19 20 sense sense NOUN bracis-19055 19 21 of of ADP bracis-19055 19 22 theft theft NOUN bracis-19055 19 23 and/or and/or CCONJ bracis-19055 19 24 cloning cloning NOUN bracis-19055 19 25 cases case NOUN bracis-19055 19 26 – – PUNCT bracis-19055 19 27 but but CCONJ bracis-19055 19 28 in in ADP bracis-19055 19 29 the the DET bracis-19055 19 30 detection detection NOUN bracis-19055 19 31 of of ADP bracis-19055 19 32 possible possible ADJ bracis-19055 19 33 anomalies anomaly NOUN bracis-19055 19 34 that that PRON bracis-19055 19 35 can can AUX bracis-19055 19 36 help help VERB bracis-19055 19 37 to to PART bracis-19055 19 38 identify identify VERB bracis-19055 19 39 expenses expense NOUN bracis-19055 19 40 not not PART bracis-19055 19 41 covered cover VERB bracis-19055 19 42 by by ADP bracis-19055 19 43 the the DET bracis-19055 19 44 current current ADJ bracis-19055 19 45 legislation legislation NOUN bracis-19055 19 46 , , PUNCT bracis-19055 19 47 thus thus ADV bracis-19055 19 48 raising raise VERB bracis-19055 19 49 possible possible ADJ bracis-19055 19 50 misuse misuse NOUN bracis-19055 19 51 of of ADP bracis-19055 19 52 cpgf cpgf NOUN bracis-19055 19 53 and and CCONJ bracis-19055 19 54 , , PUNCT bracis-19055 19 55 consequently consequently ADV bracis-19055 19 56 , , PUNCT bracis-19055 19 57 public public ADJ bracis-19055 19 58 funds fund NOUN bracis-19055 19 59 . . PUNCT bracis-19055 20 1 in in ADP bracis-19055 20 2 this this DET bracis-19055 20 3 sense sense NOUN bracis-19055 20 4 , , PUNCT bracis-19055 20 5 in in ADP bracis-19055 20 6 an an DET bracis-19055 20 7 attempt attempt NOUN bracis-19055 20 8 to to PART bracis-19055 20 9 bring bring VERB bracis-19055 20 10 transparency transparency NOUN bracis-19055 20 11 to to PART bracis-19055 20 12 cpgf cpgf VERB bracis-19055 20 13 expenses expense NOUN bracis-19055 20 14 , , PUNCT bracis-19055 20 15 the the DET bracis-19055 20 16 brazilian brazilian ADJ bracis-19055 20 17 transparency transparency NOUN bracis-19055 20 18 portal portal NOUN bracis-19055 21 1 [ [ X bracis-19055 21 2 19 19 NUM bracis-19055 21 3 ] ] PUNCT bracis-19055 21 4 presents present VERB bracis-19055 21 5 a a DET bracis-19055 21 6 series series NOUN bracis-19055 21 7 of of ADP bracis-19055 21 8 information information NOUN bracis-19055 21 9 regarding regard VERB bracis-19055 21 10 its its PRON bracis-19055 21 11 transactions transaction NOUN bracis-19055 21 12 , , PUNCT bracis-19055 21 13 such such ADJ bracis-19055 21 14 as as ADP bracis-19055 21 15 : : PUNCT bracis-19055 21 16 expenses expense NOUN bracis-19055 21 17 by by ADP bracis-19055 21 18 type type NOUN bracis-19055 21 19 of of ADP bracis-19055 21 20 card card NOUN bracis-19055 21 21 , , PUNCT bracis-19055 21 22 by by ADP bracis-19055 21 23 cardholders cardholder NOUN bracis-19055 21 24 and and CCONJ bracis-19055 21 25 favored favor VERB bracis-19055 21 26 . . PUNCT bracis-19055 22 1 nevertheless nevertheless ADV bracis-19055 22 2 , , PUNCT bracis-19055 22 3 despite despite SCONJ bracis-19055 22 4 the the DET bracis-19055 22 5 efforts effort NOUN bracis-19055 22 6 from from ADP bracis-19055 22 7 the the DET bracis-19055 22 8 brazilian brazilian ADJ bracis-19055 22 9 transparency transparency NOUN bracis-19055 22 10 portal portal NOUN bracis-19055 22 11 to to PART bracis-19055 22 12 transform transform VERB bracis-19055 22 13 the the DET bracis-19055 22 14 public public ADJ bracis-19055 22 15 spending spending NOUN bracis-19055 22 16 technical technical ADJ bracis-19055 22 17 data datum NOUN bracis-19055 22 18 , , PUNCT bracis-19055 22 19 especially especially ADV bracis-19055 22 20 expenses expense NOUN bracis-19055 22 21 made make VERB bracis-19055 22 22 on on ADP bracis-19055 22 23 the the DET bracis-19055 22 24 cpgf cpgf NOUN bracis-19055 22 25 , , PUNCT bracis-19055 22 26 into into ADP bracis-19055 22 27 information information NOUN bracis-19055 22 28 intelligible intelligible ADJ bracis-19055 22 29 to to ADP bracis-19055 22 30 the the DET bracis-19055 22 31 society society NOUN bracis-19055 22 32 in in ADP bracis-19055 22 33 general general ADJ bracis-19055 22 34 , , PUNCT bracis-19055 22 35 this this DET bracis-19055 22 36 promotion promotion NOUN bracis-19055 22 37 of of ADP bracis-19055 22 38 social social ADJ bracis-19055 22 39 control control NOUN bracis-19055 22 40 does do AUX bracis-19055 22 41 not not PART bracis-19055 22 42 fully fully ADV bracis-19055 22 43 achieve achieve VERB bracis-19055 22 44 its its PRON bracis-19055 22 45 objective objective NOUN bracis-19055 22 46 , , PUNCT bracis-19055 22 47 since since SCONJ bracis-19055 22 48 this this DET bracis-19055 22 49 information information NOUN bracis-19055 22 50 , , PUNCT bracis-19055 22 51 as as SCONJ bracis-19055 22 52 it it PRON bracis-19055 22 53 is be AUX bracis-19055 22 54 currently currently ADV bracis-19055 22 55 presented present VERB bracis-19055 22 56 , , PUNCT bracis-19055 22 57 does do AUX bracis-19055 22 58 not not PART bracis-19055 22 59 point point VERB bracis-19055 22 60 out out ADP bracis-19055 22 61 possible possible ADJ bracis-19055 22 62 anomalies anomaly NOUN bracis-19055 22 63 in in ADP bracis-19055 22 64 the the DET bracis-19055 22 65 application application NOUN bracis-19055 22 66 of of ADP bracis-19055 22 67 public public ADJ bracis-19055 22 68 resources resource NOUN bracis-19055 22 69 . . PUNCT bracis-19055 23 1 therefore therefore ADV bracis-19055 23 2 , , PUNCT bracis-19055 23 3 studies study NOUN bracis-19055 23 4 detecting detect VERB bracis-19055 23 5 possible possible ADJ bracis-19055 23 6 anomalies anomaly NOUN bracis-19055 23 7 in in ADP bracis-19055 23 8 these these DET bracis-19055 23 9 data datum NOUN bracis-19055 23 10 can can AUX bracis-19055 23 11 help help VERB bracis-19055 23 12 to to PART bracis-19055 23 13 identify identify VERB bracis-19055 23 14 non non ADJ bracis-19055 23 15 - - ADJ bracis-19055 23 16 compliant compliant ADJ bracis-19055 23 17 transactions transaction NOUN bracis-19055 23 18 and and CCONJ bracis-19055 23 19 potential potential ADJ bracis-19055 23 20 misuse misuse NOUN bracis-19055 23 21 of of ADP bracis-19055 23 22 the the DET bracis-19055 23 23 cpgf cpgf NOUN bracis-19055 23 24 . . PUNCT bracis-19055 24 1 machine machine NOUN bracis-19055 24 2 learning learn VERB bracis-19055 24 3 techniques technique NOUN bracis-19055 24 4 for for ADP bracis-19055 24 5 detecting detect VERB bracis-19055 24 6 fraud fraud NOUN bracis-19055 24 7 / / SYM bracis-19055 24 8 anomalies anomaly NOUN bracis-19055 24 9 can can AUX bracis-19055 24 10 be be AUX bracis-19055 24 11 divided divide VERB bracis-19055 24 12 into into ADP bracis-19055 24 13 two two NUM bracis-19055 24 14 main main ADJ bracis-19055 24 15 approaches approach NOUN bracis-19055 24 16 : : PUNCT bracis-19055 24 17 supervised supervised ADJ bracis-19055 24 18 and and CCONJ bracis-19055 24 19 unsupervised unsupervised ADJ bracis-19055 24 20 ones one NOUN bracis-19055 24 21 [ [ X bracis-19055 24 22 18 18 NUM bracis-19055 24 23 ] ] PUNCT bracis-19055 24 24 . . PUNCT bracis-19055 25 1 in in ADP bracis-19055 25 2 the the DET bracis-19055 25 3 supervised supervised ADJ bracis-19055 25 4 approach approach NOUN bracis-19055 25 5 , , PUNCT bracis-19055 25 6 the the DET bracis-19055 25 7 dataset dataset NOUN bracis-19055 25 8 used use VERB bracis-19055 25 9 to to PART bracis-19055 25 10 train train VERB bracis-19055 25 11 the the DET bracis-19055 25 12 model model NOUN bracis-19055 25 13 needs need VERB bracis-19055 25 14 to to PART bracis-19055 25 15 be be AUX bracis-19055 25 16 labeled label VERB bracis-19055 25 17 as as ADP bracis-19055 25 18 legitimate legitimate ADJ bracis-19055 25 19 or or CCONJ bracis-19055 25 20 fraudulent fraudulent ADJ bracis-19055 25 21 transactions transaction NOUN bracis-19055 25 22 . . PUNCT bracis-19055 26 1 in in ADP bracis-19055 26 2 the the DET bracis-19055 26 3 case case NOUN bracis-19055 26 4 of of ADP bracis-19055 26 5 credit credit NOUN bracis-19055 26 6 cards card NOUN bracis-19055 26 7 , , PUNCT bracis-19055 26 8 such such ADJ bracis-19055 26 9 labels label NOUN bracis-19055 26 10 often often ADV bracis-19055 26 11 do do AUX bracis-19055 26 12 not not PART bracis-19055 26 13 exist exist VERB bracis-19055 26 14 in in ADP bracis-19055 26 15 the the DET bracis-19055 26 16 dataset dataset NOUN bracis-19055 26 17 , , PUNCT bracis-19055 26 18 and and CCONJ bracis-19055 26 19 the the DET bracis-19055 26 20 suggested suggest VERB bracis-19055 26 21 approach approach NOUN bracis-19055 26 22 , , PUNCT bracis-19055 26 23 in in ADP bracis-19055 26 24 this this DET bracis-19055 26 25 case case NOUN bracis-19055 26 26 , , PUNCT bracis-19055 26 27 is be AUX bracis-19055 26 28 the the DET bracis-19055 26 29 unsupervised unsupervised ADJ bracis-19055 26 30 one one NOUN bracis-19055 26 31 . . PUNCT bracis-19055 27 1 several several ADJ bracis-19055 27 2 studies study NOUN bracis-19055 27 3 have have AUX bracis-19055 27 4 been be AUX bracis-19055 27 5 developed develop VERB bracis-19055 27 6 over over ADP bracis-19055 27 7 the the DET bracis-19055 27 8 years year NOUN bracis-19055 27 9 , , PUNCT bracis-19055 27 10 in in ADP bracis-19055 27 11 different different ADJ bracis-19055 27 12 areas area NOUN bracis-19055 27 13 , , PUNCT bracis-19055 27 14 on on ADP bracis-19055 27 15 the the DET bracis-19055 27 16 identification identification NOUN bracis-19055 27 17 of of ADP bracis-19055 27 18 anomalies anomaly NOUN bracis-19055 27 19 using use VERB bracis-19055 27 20 unsupervised unsupervised ADJ bracis-19055 27 21 machine machine NOUN bracis-19055 27 22 learning learning NOUN bracis-19055 27 23 models model NOUN bracis-19055 27 24 . . PUNCT bracis-19055 28 1 one one NUM bracis-19055 28 2 of of ADP bracis-19055 28 3 these these DET bracis-19055 28 4 works work NOUN bracis-19055 28 5 [ [ X bracis-19055 28 6 14 14 NUM bracis-19055 28 7 ] ] PUNCT bracis-19055 28 8 , , PUNCT bracis-19055 28 9 which which PRON bracis-19055 28 10 can can AUX bracis-19055 28 11 be be AUX bracis-19055 28 12 applied apply VERB bracis-19055 28 13 in in ADP bracis-19055 28 14 different different ADJ bracis-19055 28 15 areas area NOUN bracis-19055 28 16 such such ADJ bracis-19055 28 17 as as ADP bracis-19055 28 18 financial financial ADJ bracis-19055 28 19 transactions transaction NOUN bracis-19055 28 20 and and CCONJ bracis-19055 28 21 industrial industrial ADJ bracis-19055 28 22 machines machine NOUN bracis-19055 28 23 , , PUNCT bracis-19055 28 24 focus focus VERB bracis-19055 28 25 on on ADP bracis-19055 28 26 the the DET bracis-19055 28 27 detection detection NOUN bracis-19055 28 28 of of ADP bracis-19055 28 29 anomalies anomaly NOUN bracis-19055 28 30 in in ADP bracis-19055 28 31 time time NOUN bracis-19055 28 32 series series NOUN bracis-19055 28 33 , , PUNCT bracis-19055 28 34 proposing propose VERB bracis-19055 28 35 a a DET bracis-19055 28 36 fast fast ADJ bracis-19055 28 37 and and CCONJ bracis-19055 28 38 efficient efficient ADJ bracis-19055 28 39 anomaly anomaly NOUN bracis-19055 28 40 detection detection NOUN bracis-19055 28 41 scheme scheme NOUN bracis-19055 28 42 focusing focus VERB bracis-19055 28 43 on on ADP bracis-19055 28 44 fluctuation fluctuation NOUN bracis-19055 28 45 features feature NOUN bracis-19055 28 46 , , PUNCT bracis-19055 28 47 thus thus ADV bracis-19055 28 48 being be AUX bracis-19055 28 49 capable capable ADJ bracis-19055 28 50 of of ADP bracis-19055 28 51 handling handle VERB bracis-19055 28 52 non non ADJ bracis-19055 28 53 - - ADJ bracis-19055 28 54 extreme extreme ADJ bracis-19055 28 55 fluctuation fluctuation NOUN bracis-19055 28 56 anomalies anomaly NOUN bracis-19055 28 57 involved involve VERB bracis-19055 28 58 in in ADP bracis-19055 28 59 periodic periodic ADJ bracis-19055 28 60 patterns pattern NOUN bracis-19055 28 61 . . PUNCT bracis-19055 29 1 in in ADP bracis-19055 29 2 the the DET bracis-19055 29 3 specific specific ADJ bracis-19055 29 4 area area NOUN bracis-19055 29 5 of of ADP bracis-19055 29 6 fraud fraud NOUN bracis-19055 29 7 detection detection NOUN bracis-19055 29 8 in in ADP bracis-19055 29 9 financial financial ADJ bracis-19055 29 10 transactions transaction NOUN bracis-19055 29 11 , , PUNCT bracis-19055 29 12 an an DET bracis-19055 29 13 unsupervised unsupervised ADJ bracis-19055 29 14 deep deep ADJ bracis-19055 29 15 learning learning NOUN bracis-19055 29 16 model model NOUN bracis-19055 29 17 was be AUX bracis-19055 29 18 used use VERB bracis-19055 29 19 to to PART bracis-19055 29 20 classify classify VERB bracis-19055 29 21 brazilian brazilian ADJ bracis-19055 29 22 exporters exporter NOUN bracis-19055 29 23 regarding regard VERB bracis-19055 29 24 the the DET bracis-19055 29 25 possibility possibility NOUN bracis-19055 29 26 of of ADP bracis-19055 29 27 committing commit VERB bracis-19055 29 28 fraud fraud NOUN bracis-19055 29 29 in in ADP bracis-19055 29 30 exports export NOUN bracis-19055 29 31 [ [ X bracis-19055 29 32 16 16 NUM bracis-19055 29 33 ] ] PUNCT bracis-19055 29 34 . . PUNCT bracis-19055 30 1 there there PRON bracis-19055 30 2 is be VERB bracis-19055 30 3 also also ADV bracis-19055 30 4 a a DET bracis-19055 30 5 study study NOUN bracis-19055 30 6 [ [ X bracis-19055 30 7 8 8 NUM bracis-19055 30 8 ] ] PUNCT bracis-19055 30 9 which which PRON bracis-19055 30 10 combines combine VERB bracis-19055 30 11 unsupervised unsupervised ADJ bracis-19055 30 12 and and CCONJ bracis-19055 30 13 supervised supervised ADJ bracis-19055 30 14 learning learning NOUN bracis-19055 30 15 , , PUNCT bracis-19055 30 16 in in ADP bracis-19055 30 17 a a DET bracis-19055 30 18 complementary complementary ADJ bracis-19055 30 19 form form NOUN bracis-19055 30 20 : : PUNCT bracis-19055 30 21 while while SCONJ bracis-19055 30 22 supervised supervised ADJ bracis-19055 30 23 techniques technique NOUN bracis-19055 30 24 learn learn VERB bracis-19055 30 25 from from ADP bracis-19055 30 26 the the DET bracis-19055 30 27 fraudulent fraudulent ADJ bracis-19055 30 28 behaviors behavior NOUN bracis-19055 30 29 of of ADP bracis-19055 30 30 the the DET bracis-19055 30 31 past past NOUN bracis-19055 30 32 , , PUNCT bracis-19055 30 33 unsupervised unsupervised ADJ bracis-19055 30 34 techniques technique NOUN bracis-19055 30 35 are be AUX bracis-19055 30 36 aimed aim VERB bracis-19055 30 37 at at ADP bracis-19055 30 38 detecting detect VERB bracis-19055 30 39 new new ADJ bracis-19055 30 40 types type NOUN bracis-19055 30 41 of of ADP bracis-19055 30 42 fraud fraud NOUN bracis-19055 30 43 in in ADP bracis-19055 30 44 the the DET bracis-19055 30 45 present present NOUN bracis-19055 30 46 . . PUNCT bracis-19055 31 1 another another DET bracis-19055 31 2 particularly particularly ADV bracis-19055 31 3 related relate VERB bracis-19055 31 4 study study NOUN bracis-19055 31 5 [ [ X bracis-19055 31 6 3 3 X bracis-19055 31 7 ] ] PUNCT bracis-19055 31 8 proposes propose VERB bracis-19055 31 9 a a DET bracis-19055 31 10 methodology methodology NOUN bracis-19055 31 11 for for ADP bracis-19055 31 12 detecting detect VERB bracis-19055 31 13 anomalies anomaly NOUN bracis-19055 31 14 in in ADP bracis-19055 31 15 government government NOUN bracis-19055 31 16 purchases purchase NOUN bracis-19055 31 17 , , PUNCT bracis-19055 31 18 in in ADP bracis-19055 31 19 the the DET bracis-19055 31 20 form form NOUN bracis-19055 31 21 of of ADP bracis-19055 31 22 public public ADJ bracis-19055 31 23 bids bid NOUN bracis-19055 31 24 , , PUNCT bracis-19055 31 25 through through ADP bracis-19055 31 26 the the DET bracis-19055 31 27 use use NOUN bracis-19055 31 28 of of ADP bracis-19055 31 29 frequent frequent ADJ bracis-19055 31 30 pattern pattern NOUN bracis-19055 31 31 mining mining NOUN bracis-19055 31 32 , , PUNCT bracis-19055 31 33 temporal temporal ADJ bracis-19055 31 34 correlation correlation NOUN bracis-19055 31 35 and and CCONJ bracis-19055 31 36 joint joint ADJ bracis-19055 31 37 multi multi ADJ bracis-19055 31 38 - - ADJ bracis-19055 31 39 criteria criterion NOUN bracis-19055 31 40 analysis analysis NOUN bracis-19055 31 41 , , PUNCT bracis-19055 31 42 obtaining obtain VERB bracis-19055 31 43 results result NOUN bracis-19055 31 44 that that PRON bracis-19055 31 45 are be AUX bracis-19055 31 46 in in ADP bracis-19055 31 47 line line NOUN bracis-19055 31 48 with with ADP bracis-19055 31 49 those those PRON bracis-19055 31 50 previously previously ADV bracis-19055 31 51 and and CCONJ bracis-19055 31 52 independently independently ADV bracis-19055 31 53 gathered gather VERB bracis-19055 31 54 by by ADP bracis-19055 31 55 specialists specialist NOUN bracis-19055 31 56 from from ADP bracis-19055 31 57 the the DET bracis-19055 31 58 office office NOUN bracis-19055 31 59 of of ADP bracis-19055 31 60 the the DET bracis-19055 31 61 comptroller comptroller NOUN bracis-19055 31 62 general general NOUN bracis-19055 31 63 ( ( PUNCT bracis-19055 31 64 cgu cgu PROPN bracis-19055 31 65 ) ) PUNCT bracis-19055 31 66 , , PUNCT bracis-19055 31 67 through through ADP bracis-19055 31 68 former former ADJ bracis-19055 31 69 audits audit NOUN bracis-19055 31 70 and and CCONJ bracis-19055 31 71 inspections inspection NOUN bracis-19055 31 72 . . PUNCT bracis-19055 32 1 in in ADP bracis-19055 32 2 this this DET bracis-19055 32 3 work work NOUN bracis-19055 32 4 , , PUNCT bracis-19055 32 5 we we PRON bracis-19055 32 6 investigate investigate VERB bracis-19055 32 7 anomalies anomaly NOUN bracis-19055 32 8 detection detection NOUN bracis-19055 32 9 in in ADP bracis-19055 32 10 an an DET bracis-19055 32 11 unsupervised unsupervised ADJ bracis-19055 32 12 manner manner NOUN bracis-19055 32 13 , , PUNCT bracis-19055 32 14 by by ADP bracis-19055 32 15 using use VERB bracis-19055 32 16 real real ADJ bracis-19055 32 17 data datum NOUN bracis-19055 32 18 from from ADP bracis-19055 32 19 cpgf cpgf NOUN bracis-19055 32 20 with with ADP bracis-19055 32 21 the the DET bracis-19055 32 22 main main ADJ bracis-19055 32 23 objective objective NOUN bracis-19055 32 24 of of ADP bracis-19055 32 25 public public ADJ bracis-19055 32 26 transparency transparency NOUN bracis-19055 32 27 , , PUNCT bracis-19055 32 28 i.e. i.e. X bracis-19055 32 29 , , PUNCT bracis-19055 32 30 in in ADP bracis-19055 32 31 an an DET bracis-19055 32 32 attempt attempt NOUN bracis-19055 32 33 to to PART bracis-19055 32 34 identify identify VERB bracis-19055 32 35 purchases purchase NOUN bracis-19055 32 36 that that PRON bracis-19055 32 37 do do AUX bracis-19055 32 38 not not PART bracis-19055 32 39 comply comply VERB bracis-19055 32 40 with with ADP bracis-19055 32 41 the the DET bracis-19055 32 42 current current ADJ bracis-19055 32 43 legislation legislation NOUN bracis-19055 32 44 for for ADP bracis-19055 32 45 the the DET bracis-19055 32 46 set set NOUN bracis-19055 32 47 of of ADP bracis-19055 32 48 goods good NOUN bracis-19055 32 49 and and CCONJ bracis-19055 32 50 services service NOUN bracis-19055 32 51 that that PRON bracis-19055 32 52 can can AUX bracis-19055 32 53 be be AUX bracis-19055 32 54 purchased purchase VERB bracis-19055 32 55 through through ADP bracis-19055 32 56 this this DET bracis-19055 32 57 payment payment NOUN bracis-19055 32 58 method method NOUN bracis-19055 32 59 . . PUNCT bracis-19055 33 1 to to ADP bracis-19055 33 2 this this DET bracis-19055 33 3 end end NOUN bracis-19055 33 4 , , PUNCT bracis-19055 33 5 four four NUM bracis-19055 33 6 different different ADJ bracis-19055 33 7 machine machine NOUN bracis-19055 33 8 learning learn VERB bracis-19055 33 9 techniques technique NOUN bracis-19055 33 10 are be AUX bracis-19055 33 11 tested test VERB bracis-19055 33 12 : : PUNCT bracis-19055 33 13 two two NUM bracis-19055 33 14 clustering clustering ADJ bracis-19055 33 15 methods method NOUN bracis-19055 33 16 ( ( PUNCT bracis-19055 33 17 k k NOUN bracis-19055 33 18 - - PUNCT bracis-19055 33 19 means mean NOUN bracis-19055 33 20 and and CCONJ bracis-19055 33 21 agglomerative agglomerative ADJ bracis-19055 33 22 clustering clustering NOUN bracis-19055 33 23 ) ) PUNCT bracis-19055 33 24 , , PUNCT bracis-19055 33 25 a a DET bracis-19055 33 26 network network NOUN bracis-19055 33 27 - - PUNCT bracis-19055 33 28 based base VERB bracis-19055 33 29 approach approach NOUN bracis-19055 33 30 , , PUNCT bracis-19055 33 31 which which PRON bracis-19055 33 32 is be AUX bracis-19055 33 33 also also ADV bracis-19055 33 34 introduced introduce VERB bracis-19055 33 35 in in ADP bracis-19055 33 36 this this DET bracis-19055 33 37 work work NOUN bracis-19055 33 38 , , PUNCT bracis-19055 33 39 and and CCONJ bracis-19055 33 40 a a DET bracis-19055 33 41 hybrid hybrid ADJ bracis-19055 33 42 model model NOUN bracis-19055 33 43 , , PUNCT bracis-19055 33 44 based base VERB bracis-19055 33 45 both both CCONJ bracis-19055 33 46 on on ADP bracis-19055 33 47 networks network NOUN bracis-19055 33 48 and and CCONJ bracis-19055 33 49 the the DET bracis-19055 33 50 k k NOUN bracis-19055 33 51 - - PUNCT bracis-19055 33 52 means mean NOUN bracis-19055 33 53 method method NOUN bracis-19055 33 54 . . PUNCT bracis-19055 34 1 we we PRON bracis-19055 34 2 apply apply VERB bracis-19055 34 3 these these DET bracis-19055 34 4 techniques technique NOUN bracis-19055 34 5 on on ADP bracis-19055 34 6 historical historical ADJ bracis-19055 34 7 cpgf cpgf NOUN bracis-19055 34 8 expenses expense VERB bracis-19055 34 9 real real ADJ bracis-19055 34 10 data datum NOUN bracis-19055 34 11 from from ADP bracis-19055 34 12 brazilian brazilian ADJ bracis-19055 34 13 public public ADJ bracis-19055 34 14 agencies agency NOUN bracis-19055 34 15 , , PUNCT bracis-19055 34 16 occurred occur VERB bracis-19055 34 17 in in ADP bracis-19055 34 18 2018 2018 NUM bracis-19055 34 19 and and CCONJ bracis-19055 34 20 2019 2019 NUM bracis-19055 34 21 . . PUNCT bracis-19055 35 1 the the DET bracis-19055 35 2 experimental experimental ADJ bracis-19055 35 3 results result NOUN bracis-19055 35 4 obtained obtain VERB bracis-19055 35 5 indicate indicate VERB bracis-19055 35 6 that that SCONJ bracis-19055 35 7 unsupervised unsupervised ADJ bracis-19055 35 8 methods method NOUN bracis-19055 35 9 have have VERB bracis-19055 35 10 the the DET bracis-19055 35 11 potential potential NOUN bracis-19055 35 12 to to PART bracis-19055 35 13 help help VERB bracis-19055 35 14 in in ADP bracis-19055 35 15 the the DET bracis-19055 35 16 task task NOUN bracis-19055 35 17 of of ADP bracis-19055 35 18 monitoring monitor VERB bracis-19055 35 19 government government NOUN bracis-19055 35 20 purchase purchase NOUN bracis-19055 35 21 card card NOUN bracis-19055 35 22 expenses expense NOUN bracis-19055 35 23 , , PUNCT bracis-19055 35 24 by by ADP bracis-19055 35 25 flagging flag VERB bracis-19055 35 26 suspect suspect ADJ bracis-19055 35 27 transactions transaction NOUN bracis-19055 35 28 for for ADP bracis-19055 35 29 further further ADJ bracis-19055 35 30 investigation investigation NOUN bracis-19055 35 31 without without ADP bracis-19055 35 32 requiring require VERB bracis-19055 35 33 the the DET bracis-19055 35 34 presence presence NOUN bracis-19055 35 35 of of ADP bracis-19055 35 36 a a DET bracis-19055 35 37 specialist specialist NOUN bracis-19055 35 38 in in ADP bracis-19055 35 39 this this DET bracis-19055 35 40 process process NOUN bracis-19055 35 41 . . PUNCT bracis-19055 36 1 2 2 NUM bracis-19055 36 2 materials material NOUN bracis-19055 36 3 and and CCONJ bracis-19055 36 4 methods method NOUN bracis-19055 36 5 the the DET bracis-19055 36 6 dataset dataset NOUN bracis-19055 36 7 used use VERB bracis-19055 36 8 in in ADP bracis-19055 36 9 this this DET bracis-19055 36 10 study study NOUN bracis-19055 36 11 was be AUX bracis-19055 36 12 built build VERB bracis-19055 36 13 from from ADP bracis-19055 36 14 original original ADJ bracis-19055 36 15 data datum NOUN bracis-19055 36 16 obtained obtain VERB bracis-19055 36 17 in in ADP bracis-19055 36 18 the the DET bracis-19055 36 19 brazilian brazilian ADJ bracis-19055 36 20 transparency transparency NOUN bracis-19055 36 21 portal portal NOUN bracis-19055 37 1 [ [ X bracis-19055 37 2 19 19 NUM bracis-19055 37 3 ] ] PUNCT bracis-19055 37 4 , , PUNCT bracis-19055 37 5 comprising comprise VERB bracis-19055 37 6 a a DET bracis-19055 37 7 total total ADJ bracis-19055 37 8 amount amount NOUN bracis-19055 37 9 of of ADP bracis-19055 37 10 r$ r$ NOUN bracis-19055 37 11 55,048,553 55,048,553 NUM bracis-19055 37 12 in in ADP bracis-19055 37 13 cpgf cpgf NOUN bracis-19055 37 14 expenses expense NOUN bracis-19055 37 15 , , PUNCT bracis-19055 37 16 from from ADP bracis-19055 37 17 211,896 211,896 NUM bracis-19055 37 18 different different ADJ bracis-19055 37 19 transactions transaction NOUN bracis-19055 37 20 , , PUNCT bracis-19055 37 21 performed perform VERB bracis-19055 37 22 by by ADP bracis-19055 37 23 175 175 NUM bracis-19055 37 24 public public ADJ bracis-19055 37 25 agencies agency NOUN bracis-19055 37 26 , , PUNCT bracis-19055 37 27 in in ADP bracis-19055 37 28 2018 2018 NUM bracis-19055 37 29 and and CCONJ bracis-19055 37 30 2019 2019 NUM bracis-19055 37 31 . . PUNCT bracis-19055 38 1 we we PRON bracis-19055 38 2 focus focus VERB bracis-19055 38 3 our our PRON bracis-19055 38 4 analyses analysis NOUN bracis-19055 38 5 on on ADP bracis-19055 38 6 data datum NOUN bracis-19055 38 7 from from ADP bracis-19055 38 8 two two NUM bracis-19055 38 9 public public ADJ bracis-19055 38 10 agencies agency NOUN bracis-19055 38 11 which which PRON bracis-19055 38 12 were be AUX bracis-19055 38 13 among among ADP bracis-19055 38 14 the the DET bracis-19055 38 15 top top ADJ bracis-19055 38 16 largest large ADJ bracis-19055 38 17 spenders spender NOUN bracis-19055 38 18 during during ADP bracis-19055 38 19 this this DET bracis-19055 38 20 period period NOUN bracis-19055 38 21 : : PUNCT bracis-19055 38 22 army army NOUN bracis-19055 38 23 command command NOUN bracis-19055 38 24 and and CCONJ bracis-19055 38 25 ministry ministry PROPN bracis-19055 38 26 of of ADP bracis-19055 38 27 agriculture agriculture PROPN bracis-19055 38 28 , , PUNCT bracis-19055 38 29 livestock livestock NOUN bracis-19055 38 30 and and CCONJ bracis-19055 38 31 food food NOUN bracis-19055 38 32 supply supply NOUN bracis-19055 38 33 ( ( PUNCT bracis-19055 38 34 table table NOUN bracis-19055 38 35     SPACE bracis-19055 38 36 1 1 NUM bracis-19055 38 37 ) ) PUNCT bracis-19055 38 38 . . PUNCT bracis-19055 39 1 table table NOUN bracis-19055 40 1 1 1 NUM bracis-19055 40 2 . . PUNCT bracis-19055 41 1 summary summary NOUN bracis-19055 41 2 of of ADP bracis-19055 41 3 the the DET bracis-19055 41 4 data datum NOUN bracis-19055 41 5 used use VERB bracis-19055 41 6 in in ADP bracis-19055 41 7 the the DET bracis-19055 41 8 analysisfull analysisfull ADJ bracis-19055 41 9 size size NOUN bracis-19055 41 10 table table NOUN bracis-19055 41 11 in in ADP bracis-19055 41 12 fig fig NOUN bracis-19055 41 13 . . PUNCT bracis-19055 41 14     SPACE bracis-19055 42 1 1 1 NUM bracis-19055 42 2 , , PUNCT bracis-19055 42 3 we we PRON bracis-19055 42 4 show show VERB bracis-19055 42 5 the the DET bracis-19055 42 6 frequency frequency NOUN bracis-19055 42 7 histogram histogram NOUN bracis-19055 42 8 of of ADP bracis-19055 42 9 all all DET bracis-19055 42 10 values value NOUN bracis-19055 42 11 and and CCONJ bracis-19055 42 12 also also ADV bracis-19055 42 13 the the DET bracis-19055 42 14 ones one NOUN bracis-19055 42 15 from from ADP bracis-19055 42 16 the the DET bracis-19055 42 17 10 10 NUM bracis-19055 42 18 most most ADV bracis-19055 42 19 frequent frequent ADJ bracis-19055 42 20 types type NOUN bracis-19055 42 21 of of ADP bracis-19055 42 22 expense expense NOUN bracis-19055 42 23 , , PUNCT bracis-19055 42 24 from from ADP bracis-19055 42 25 ministry ministry PROPN bracis-19055 42 26 of of ADP bracis-19055 42 27 agriculture agriculture PROPN bracis-19055 42 28 cpgf cpgf PROPN bracis-19055 42 29 data datum NOUN bracis-19055 42 30 . . PUNCT bracis-19055 43 1 one one PRON bracis-19055 43 2 can can AUX bracis-19055 43 3 observe observe VERB bracis-19055 43 4 , , PUNCT bracis-19055 43 5 from from ADP bracis-19055 43 6 this this DET bracis-19055 43 7 figure figure NOUN bracis-19055 43 8 , , PUNCT bracis-19055 43 9 that that SCONJ bracis-19055 43 10 the the DET bracis-19055 43 11 values value NOUN bracis-19055 43 12 are be AUX bracis-19055 43 13 concentrated concentrate VERB bracis-19055 43 14 in in ADP bracis-19055 43 15 smaller small ADJ bracis-19055 43 16 transactions transaction NOUN bracis-19055 43 17 . . PUNCT bracis-19055 44 1 we we PRON bracis-19055 44 2 also also ADV bracis-19055 44 3 note note VERB bracis-19055 44 4 that that SCONJ bracis-19055 44 5 , , PUNCT bracis-19055 44 6 overall overall ADV bracis-19055 44 7 , , PUNCT bracis-19055 44 8 the the DET bracis-19055 44 9 values value NOUN bracis-19055 44 10 do do AUX bracis-19055 44 11 not not PART bracis-19055 44 12 seem seem VERB bracis-19055 44 13 to to PART bracis-19055 44 14 follow follow VERB bracis-19055 44 15 a a DET bracis-19055 44 16 normal normal ADJ bracis-19055 44 17 distribution distribution NOUN bracis-19055 44 18 , , PUNCT bracis-19055 44 19 and and CCONJ bracis-19055 44 20 may may AUX bracis-19055 44 21 present present VERB bracis-19055 44 22 different different ADJ bracis-19055 44 23 curve curve NOUN bracis-19055 44 24 shapes shape NOUN bracis-19055 44 25 , , PUNCT bracis-19055 44 26 according accord VERB bracis-19055 44 27 to to ADP bracis-19055 44 28 the the DET bracis-19055 44 29 expense expense NOUN bracis-19055 44 30 type type NOUN bracis-19055 44 31 . . PUNCT bracis-19055 45 1 fig fig NOUN bracis-19055 45 2 . . PUNCT bracis-19055 46 1 1 1 X bracis-19055 46 2 . . X bracis-19055 46 3 frequency frequency NOUN bracis-19055 46 4 histogram histogram NOUN bracis-19055 46 5 of of ADP bracis-19055 46 6 all all DET bracis-19055 46 7 values value NOUN bracis-19055 46 8 and and CCONJ bracis-19055 46 9 of of ADP bracis-19055 46 10 the the DET bracis-19055 46 11 10 10 NUM bracis-19055 46 12 most most ADV bracis-19055 46 13 frequent frequent ADJ bracis-19055 46 14 types type NOUN bracis-19055 46 15 of of ADP bracis-19055 46 16 expense expense NOUN bracis-19055 46 17 , , PUNCT bracis-19055 46 18 from from ADP bracis-19055 46 19 ministry ministry PROPN bracis-19055 46 20 of of ADP bracis-19055 46 21 agriculture agriculture PROPN bracis-19055 46 22 cpgf cpgf PROPN bracis-19055 46 23 data datum NOUN bracis-19055 46 24 . . PUNCT bracis-19055 47 1 full full ADJ bracis-19055 47 2 size size NOUN bracis-19055 47 3 image image NOUN bracis-19055 47 4 for for ADP bracis-19055 47 5 the the DET bracis-19055 47 6 anomaly anomaly NOUN bracis-19055 47 7 detection detection NOUN bracis-19055 47 8 task task NOUN bracis-19055 47 9 , , PUNCT bracis-19055 47 10 four four NUM bracis-19055 47 11 different different ADJ bracis-19055 47 12 unsupervised unsupervised ADJ bracis-19055 47 13 techniques technique NOUN bracis-19055 47 14 are be AUX bracis-19055 47 15 tested test VERB bracis-19055 47 16 : : PUNCT bracis-19055 47 17 k k X bracis-19055 47 18 - - PUNCT bracis-19055 47 19 means mean VERB bracis-19055 47 20 [ [ X bracis-19055 47 21 15 15 NUM bracis-19055 47 22 ] ] PUNCT bracis-19055 47 23 , , PUNCT bracis-19055 47 24 agglomerative agglomerative ADJ bracis-19055 47 25 clustering clustering NOUN bracis-19055 47 26 [ [ X bracis-19055 47 27 12 12 NUM bracis-19055 47 28 ] ] PUNCT bracis-19055 47 29 , , PUNCT bracis-19055 47 30 a a DET bracis-19055 47 31 network network NOUN bracis-19055 47 32 - - PUNCT bracis-19055 47 33 based base VERB bracis-19055 47 34 approach approach NOUN bracis-19055 47 35 , , PUNCT bracis-19055 47 36 also also ADV bracis-19055 47 37 introduced introduce VERB bracis-19055 47 38 in in ADP bracis-19055 47 39 this this DET bracis-19055 47 40 study study NOUN bracis-19055 47 41 , , PUNCT bracis-19055 47 42 and and CCONJ bracis-19055 47 43 a a DET bracis-19055 47 44 hybrid hybrid ADJ bracis-19055 47 45 model model NOUN bracis-19055 47 46 , , PUNCT bracis-19055 47 47 based base VERB bracis-19055 47 48 on on ADP bracis-19055 47 49 complex complex ADJ bracis-19055 47 50 networks network NOUN bracis-19055 47 51 and and CCONJ bracis-19055 47 52 the the DET bracis-19055 47 53 k k NOUN bracis-19055 47 54 - - PUNCT bracis-19055 47 55 means means NOUN bracis-19055 47 56 method method NOUN bracis-19055 47 57 . . PUNCT bracis-19055 48 1 following follow VERB bracis-19055 48 2 , , PUNCT bracis-19055 48 3 we we PRON bracis-19055 48 4 describe describe VERB bracis-19055 48 5 each each DET bracis-19055 48 6 one one NUM bracis-19055 48 7 of of ADP bracis-19055 48 8 them they PRON bracis-19055 48 9 in in ADP bracis-19055 48 10 more more ADJ bracis-19055 48 11 details detail NOUN bracis-19055 48 12 . . PUNCT bracis-19055 49 1 2.1 2.1 NUM bracis-19055 49 2 k k NOUN bracis-19055 49 3 - - PUNCT bracis-19055 49 4 means means NOUN bracis-19055 49 5 method method VERB bracis-19055 49 6 the the DET bracis-19055 49 7 idea idea NOUN bracis-19055 49 8 of of ADP bracis-19055 49 9 the the DET bracis-19055 49 10 k k NOUN bracis-19055 49 11 - - PUNCT bracis-19055 49 12 means means NOUN bracis-19055 49 13 algorithm algorithm NOUN bracis-19055 49 14 is be AUX bracis-19055 49 15 to to PART bracis-19055 49 16 group group NOUN bracis-19055 49 17 n n CCONJ bracis-19055 49 18 objects object NOUN bracis-19055 49 19 of of ADP bracis-19055 49 20 a a DET bracis-19055 49 21 sample sample NOUN bracis-19055 49 22 into into ADP bracis-19055 49 23 k k PROPN bracis-19055 49 24 clusters cluster NOUN bracis-19055 49 25 by by ADP bracis-19055 49 26 minimizing minimize VERB bracis-19055 49 27 the the DET bracis-19055 49 28 moment moment NOUN bracis-19055 49 29 of of ADP bracis-19055 49 30 inertia inertia NOUN bracis-19055 49 31 of of ADP bracis-19055 49 32 each each DET bracis-19055 49 33 cluster cluster NOUN bracis-19055 49 34 , , PUNCT bracis-19055 49 35 i.e. i.e. X bracis-19055 49 36 , , PUNCT bracis-19055 49 37 by by ADP bracis-19055 49 38 making make VERB bracis-19055 49 39 the the DET bracis-19055 49 40 data datum NOUN bracis-19055 49 41 within within ADP bracis-19055 49 42 each each DET bracis-19055 49 43 cluster cluster NOUN bracis-19055 49 44 as as ADV bracis-19055 49 45 close close ADJ bracis-19055 49 46 as as ADP bracis-19055 49 47 possible possible ADJ bracis-19055 49 48 . . PUNCT bracis-19055 50 1 k k X bracis-19055 50 2 - - PUNCT bracis-19055 50 3 means means NOUN bracis-19055 50 4 uses use VERB bracis-19055 50 5 the the DET bracis-19055 50 6 squared square VERB bracis-19055 50 7 euclidean euclidean ADJ bracis-19055 50 8 distance distance NOUN bracis-19055 50 9 to to PART bracis-19055 50 10 calculate calculate VERB bracis-19055 50 11 the the DET bracis-19055 50 12 inertia inertia NOUN bracis-19055 50 13 or or CCONJ bracis-19055 50 14 , , PUNCT bracis-19055 50 15 as as SCONJ bracis-19055 50 16 it it PRON bracis-19055 50 17 is be AUX bracis-19055 50 18 also also ADV bracis-19055 50 19 known know VERB bracis-19055 50 20 , , PUNCT bracis-19055 50 21 the the DET bracis-19055 50 22 within within NOUN bracis-19055 50 23 - - PUNCT bracis-19055 50 24 cluster cluster NOUN bracis-19055 50 25 sum sum NOUN bracis-19055 50 26 of of ADP bracis-19055 50 27 square square ADJ bracis-19055 50 28 wcss wcss PROPN bracis-19055 50 29 . . PUNCT bracis-19055 51 1 therefore therefore ADV bracis-19055 51 2 , , PUNCT bracis-19055 51 3 the the DET bracis-19055 51 4 total total ADJ bracis-19055 51 5 inertia inertia NOUN bracis-19055 51 6 of of ADP bracis-19055 51 7 a a DET bracis-19055 51 8 dataset dataset NOUN bracis-19055 51 9 can can AUX bracis-19055 51 10 be be AUX bracis-19055 51 11 denoted denote VERB bracis-19055 51 12 as as SCONJ bracis-19055 51 13 follows follow VERB bracis-19055 51 14 : : PUNCT bracis-19055 51 15 $ $ SYM bracis-19055 51 16 $ $ SYM bracis-19055 51 17 \begin{aligned \begin{aligne VERB bracis-19055 51 18 } } PUNCT bracis-19055 51 19 \sum \sum NOUN bracis-19055 51 20 _ _ PUNCT bracis-19055 51 21 { { PUNCT bracis-19055 51 22 i=1}^k i=1}^k PROPN bracis-19055 51 23 \sum \sum NOUN bracis-19055 51 24 _ _ PUNCT bracis-19055 51 25 { { PUNCT bracis-19055 51 26 x x PUNCT bracis-19055 51 27 \in \in PROPN bracis-19055 51 28 c_i c_i ADV bracis-19055 51 29 } } PUNCT bracis-19055 51 30 \left\| \left\| NOUN bracis-19055 51 31 { { PUNCT bracis-19055 51 32 x-\mu x-\mu NOUN bracis-19055 51 33 _ _ PUNCT bracis-19055 51 34 i}\right\| i}\right\| NOUN bracis-19055 51 35 ^2 ^2 PUNCT bracis-19055 51 36 \quad \quad X bracis-19055 51 37 , , PUNCT bracis-19055 51 38 \end{aligned}$$ \end{aligned}$$ X bracis-19055 51 39 ( ( PUNCT bracis-19055 51 40 1 1 NUM bracis-19055 51 41 ) ) PUNCT bracis-19055 51 42 which which PRON bracis-19055 51 43 means mean VERB bracis-19055 51 44 that that SCONJ bracis-19055 51 45 for for ADP bracis-19055 51 46 all all DET bracis-19055 51 47 points point NOUN bracis-19055 51 48 x x VERB bracis-19055 51 49 that that PRON bracis-19055 51 50 are be AUX bracis-19055 51 51 in in ADP bracis-19055 51 52 cluster cluster NOUN bracis-19055 51 53 \(c_i\ \(c_i\ NOUN bracis-19055 51 54 ) ) PUNCT bracis-19055 51 55 , , PUNCT bracis-19055 51 56 the the DET bracis-19055 51 57 square square NOUN bracis-19055 51 58 of of ADP bracis-19055 51 59 the the DET bracis-19055 51 60 distances distance NOUN bracis-19055 51 61 from from ADP bracis-19055 51 62 each each DET bracis-19055 51 63 point point NOUN bracis-19055 51 64 to to ADP bracis-19055 51 65 the the DET bracis-19055 51 66 center center NOUN bracis-19055 51 67 of of ADP bracis-19055 51 68 the the DET bracis-19055 51 69 cluster cluster NOUN bracis-19055 51 70 \(\mu \(\mu PROPN bracis-19055 51 71 _ _ PUNCT bracis-19055 51 72 i\ i\ NOUN bracis-19055 51 73 ) ) PUNCT bracis-19055 51 74 is be AUX bracis-19055 51 75 summed sum VERB bracis-19055 51 76 up up ADP bracis-19055 51 77 , , PUNCT bracis-19055 51 78 and and CCONJ bracis-19055 51 79 to to PART bracis-19055 51 80 find find VERB bracis-19055 51 81 the the DET bracis-19055 51 82 total total ADJ bracis-19055 51 83 inertia inertia NOUN bracis-19055 51 84 , , PUNCT bracis-19055 51 85 we we PRON bracis-19055 51 86 just just ADV bracis-19055 51 87 sum sum VERB bracis-19055 51 88 all all DET bracis-19055 51 89 the the DET bracis-19055 51 90 inertia inertia NOUN bracis-19055 51 91 values value NOUN bracis-19055 51 92 of of ADP bracis-19055 51 93 each each PRON bracis-19055 51 94 of of ADP bracis-19055 51 95 the the DET bracis-19055 51 96 k k PROPN bracis-19055 51 97 clusters cluster NOUN bracis-19055 51 98 in in ADP bracis-19055 51 99 the the DET bracis-19055 51 100 dataset dataset NOUN bracis-19055 51 101 . . PUNCT bracis-19055 52 1 one one NUM bracis-19055 52 2 of of ADP bracis-19055 52 3 the the DET bracis-19055 52 4 problems problem NOUN bracis-19055 52 5 of of ADP bracis-19055 52 6 the the DET bracis-19055 52 7 k k NOUN bracis-19055 52 8 - - PUNCT bracis-19055 52 9 means means NOUN bracis-19055 52 10 algorithm algorithm NOUN bracis-19055 52 11 is be AUX bracis-19055 52 12 that that SCONJ bracis-19055 52 13 it it PRON bracis-19055 52 14 is be AUX bracis-19055 52 15 extremely extremely ADV bracis-19055 52 16 sensitive sensitive ADJ bracis-19055 52 17 to to ADP bracis-19055 52 18 the the DET bracis-19055 52 19 centroids centroid NOUN bracis-19055 52 20 starting start VERB bracis-19055 52 21 conditions condition NOUN bracis-19055 52 22 . . PUNCT bracis-19055 53 1 this this DET bracis-19055 53 2 problem problem NOUN bracis-19055 53 3 can can AUX bracis-19055 53 4 be be AUX bracis-19055 53 5 addressed address VERB bracis-19055 53 6 through through ADP bracis-19055 53 7 the the DET bracis-19055 53 8 initialization initialization NOUN bracis-19055 53 9 scheme scheme NOUN bracis-19055 53 10 called call VERB bracis-19055 53 11 k k NOUN bracis-19055 53 12 - - PUNCT bracis-19055 53 13 means mean VERB bracis-19055 53 14 \(^{++}\ \(^{++}\ NOUN bracis-19055 53 15 ) ) PUNCT bracis-19055 54 1 [ [ X bracis-19055 54 2 6 6 NUM bracis-19055 54 3 ] ] PUNCT bracis-19055 54 4 . . PUNCT bracis-19055 55 1 in in ADP bracis-19055 55 2 this this DET bracis-19055 55 3 method method NOUN bracis-19055 55 4 , , PUNCT bracis-19055 55 5 the the DET bracis-19055 55 6 first first ADJ bracis-19055 55 7 centroid centroid NOUN bracis-19055 55 8 is be AUX bracis-19055 55 9 selected select VERB bracis-19055 55 10 randomly randomly ADV bracis-19055 55 11 , , PUNCT bracis-19055 55 12 and and CCONJ bracis-19055 55 13 the the DET bracis-19055 55 14 others other NOUN bracis-19055 55 15 are be AUX bracis-19055 55 16 selected select VERB bracis-19055 55 17 based base VERB bracis-19055 55 18 on on ADP bracis-19055 55 19 the the DET bracis-19055 55 20 distance distance NOUN bracis-19055 55 21 to to ADP bracis-19055 55 22 the the DET bracis-19055 55 23 first first ADJ bracis-19055 55 24 one one NUM bracis-19055 55 25 . . PUNCT bracis-19055 56 1 in in ADP bracis-19055 56 2 this this DET bracis-19055 56 3 way way NOUN bracis-19055 56 4 , , PUNCT bracis-19055 56 5 k k NOUN bracis-19055 56 6 - - PUNCT bracis-19055 56 7 means mean VERB bracis-19055 56 8 \(^{++}\ \(^{++}\ NOUN bracis-19055 56 9 ) ) PUNCT bracis-19055 56 10 reduces reduce VERB bracis-19055 56 11 the the DET bracis-19055 56 12 likelihood likelihood NOUN bracis-19055 56 13 of of ADP bracis-19055 56 14 bad bad ADJ bracis-19055 56 15 starting starting NOUN bracis-19055 56 16 conditions condition NOUN bracis-19055 56 17 by by ADP bracis-19055 56 18 selecting select VERB bracis-19055 56 19 the the DET bracis-19055 56 20 initial initial ADJ bracis-19055 56 21 centroids centroid NOUN bracis-19055 56 22 that that PRON bracis-19055 56 23 are be AUX bracis-19055 56 24 usually usually ADV bracis-19055 56 25 far far ADV bracis-19055 56 26 from from ADP bracis-19055 56 27 each each DET bracis-19055 56 28 other other ADJ bracis-19055 56 29 . . PUNCT bracis-19055 57 1 the the DET bracis-19055 57 2 best good ADJ bracis-19055 57 3 number number NOUN bracis-19055 57 4 of of ADP bracis-19055 57 5 clusters cluster NOUN bracis-19055 57 6 k k PROPN bracis-19055 57 7 in in ADP bracis-19055 57 8 this this DET bracis-19055 57 9 technique technique NOUN bracis-19055 57 10 is be AUX bracis-19055 57 11 found find VERB bracis-19055 57 12 using use VERB bracis-19055 57 13 the the DET bracis-19055 57 14 elbow elbow NOUN bracis-19055 57 15 method method NOUN bracis-19055 57 16 [ [ X bracis-19055 57 17 4 4 NUM bracis-19055 57 18 ] ] PUNCT bracis-19055 57 19 , , PUNCT bracis-19055 57 20 and and CCONJ bracis-19055 57 21 the the DET bracis-19055 57 22 initialization initialization NOUN bracis-19055 57 23 parameter parameter NOUN bracis-19055 57 24 is be AUX bracis-19055 57 25 adjusted adjust VERB bracis-19055 57 26 by by ADP bracis-19055 57 27 the the DET bracis-19055 57 28 k k NOUN bracis-19055 57 29 - - PUNCT bracis-19055 57 30 means mean VERB bracis-19055 57 31 \(^{++}\ \(^{++}\ NOUN bracis-19055 57 32 ) ) PUNCT bracis-19055 57 33 technique technique NOUN bracis-19055 57 34 . . PUNCT bracis-19055 58 1 2.2 2.2 NUM bracis-19055 58 2 agglomerative agglomerative ADJ bracis-19055 58 3 clustering clustering NOUN bracis-19055 58 4 method method NOUN bracis-19055 58 5 agglomerative agglomerative ADJ bracis-19055 58 6 clustering clustering NOUN bracis-19055 58 7 is be AUX bracis-19055 58 8 a a DET bracis-19055 58 9 bottom bottom ADJ bracis-19055 58 10 - - PUNCT bracis-19055 58 11 up up ADP bracis-19055 58 12 hierarchical hierarchical ADJ bracis-19055 58 13 clustering clustering ADJ bracis-19055 58 14 algorithm algorithm NOUN bracis-19055 58 15 where where SCONJ bracis-19055 58 16 the the DET bracis-19055 58 17 hierarchy hierarchy NOUN bracis-19055 58 18 of of ADP bracis-19055 58 19 clusters cluster NOUN bracis-19055 58 20 is be AUX bracis-19055 58 21 represented represent VERB bracis-19055 58 22 as as ADP bracis-19055 58 23 a a DET bracis-19055 58 24 tree tree NOUN bracis-19055 58 25 , , PUNCT bracis-19055 58 26 called call VERB bracis-19055 58 27 a a DET bracis-19055 58 28 dendrogram dendrogram NOUN bracis-19055 58 29 . . PUNCT bracis-19055 59 1 the the DET bracis-19055 59 2 root root NOUN bracis-19055 59 3 of of ADP bracis-19055 59 4 the the DET bracis-19055 59 5 dendrogram dendrogram NOUN bracis-19055 59 6 is be AUX bracis-19055 59 7 the the DET bracis-19055 59 8 single single ADJ bracis-19055 59 9 cluster cluster NOUN bracis-19055 59 10 that that PRON bracis-19055 59 11 contains contain VERB bracis-19055 59 12 all all DET bracis-19055 59 13 the the DET bracis-19055 59 14 samples sample NOUN bracis-19055 59 15 , , PUNCT bracis-19055 59 16 whereas whereas SCONJ bracis-19055 59 17 the the DET bracis-19055 59 18 leaves leave NOUN bracis-19055 59 19 are be AUX bracis-19055 59 20 the the DET bracis-19055 59 21 clusters cluster NOUN bracis-19055 59 22 where where SCONJ bracis-19055 59 23 each each DET bracis-19055 59 24 sample sample NOUN bracis-19055 59 25 would would AUX bracis-19055 59 26 be be AUX bracis-19055 59 27 considered consider VERB bracis-19055 59 28 as as ADP bracis-19055 59 29 a a DET bracis-19055 59 30 cluster cluster NOUN bracis-19055 59 31 . . PUNCT bracis-19055 60 1 in in ADP bracis-19055 60 2 this this DET bracis-19055 60 3 study study NOUN bracis-19055 60 4 , , PUNCT bracis-19055 60 5 the the DET bracis-19055 60 6 dendrogram dendrogram NOUN bracis-19055 60 7 is be AUX bracis-19055 60 8 created create VERB bracis-19055 60 9 by by ADP bracis-19055 60 10 using use VERB bracis-19055 60 11 the the DET bracis-19055 60 12 ward ward NOUN bracis-19055 60 13 linkage linkage NOUN bracis-19055 60 14 method method NOUN bracis-19055 60 15 [ [ X bracis-19055 60 16 20 20 NUM bracis-19055 60 17 ] ] PUNCT bracis-19055 60 18 , , PUNCT bracis-19055 60 19 that that PRON bracis-19055 60 20 seeks seek VERB bracis-19055 60 21 to to PART bracis-19055 60 22 minimize minimize VERB bracis-19055 60 23 the the DET bracis-19055 60 24 sum sum NOUN bracis-19055 60 25 of of ADP bracis-19055 60 26 the the DET bracis-19055 60 27 square square NOUN bracis-19055 60 28 of of ADP bracis-19055 60 29 the the DET bracis-19055 60 30 differences difference NOUN bracis-19055 60 31 within within ADP bracis-19055 60 32 all all DET bracis-19055 60 33 clusters cluster NOUN bracis-19055 60 34 . . PUNCT bracis-19055 61 1 this this PRON bracis-19055 61 2 is be AUX bracis-19055 61 3 an an DET bracis-19055 61 4 approach approach NOUN bracis-19055 61 5 which which PRON bracis-19055 61 6 minimizes minimize VERB bracis-19055 61 7 the the DET bracis-19055 61 8 variance variance NOUN bracis-19055 61 9 and and CCONJ bracis-19055 61 10 , , PUNCT bracis-19055 61 11 in in ADP bracis-19055 61 12 this this DET bracis-19055 61 13 respect respect NOUN bracis-19055 61 14 , , PUNCT bracis-19055 61 15 is be AUX bracis-19055 61 16 somewhat somewhat ADV bracis-19055 61 17 similar similar ADJ bracis-19055 61 18 to to ADP bracis-19055 61 19 the the DET bracis-19055 61 20 k k NOUN bracis-19055 61 21 - - PUNCT bracis-19055 61 22 means means NOUN bracis-19055 61 23 function function NOUN bracis-19055 61 24 , , PUNCT bracis-19055 61 25 but but CCONJ bracis-19055 61 26 from from ADP bracis-19055 61 27 a a DET bracis-19055 61 28 hierarchical hierarchical ADJ bracis-19055 61 29 perspective perspective NOUN bracis-19055 61 30 . . PUNCT bracis-19055 62 1 for for ADP bracis-19055 62 2 determining determine VERB bracis-19055 62 3 the the DET bracis-19055 62 4 number number NOUN bracis-19055 62 5 of of ADP bracis-19055 62 6 clusters cluster NOUN bracis-19055 62 7 to to PART bracis-19055 62 8 be be AUX bracis-19055 62 9 considered consider VERB bracis-19055 62 10 for for ADP bracis-19055 62 11 this this DET bracis-19055 62 12 technique technique NOUN bracis-19055 62 13 , , PUNCT bracis-19055 62 14 we we PRON bracis-19055 62 15 set set VERB bracis-19055 62 16 a a DET bracis-19055 62 17 threshold threshold NOUN bracis-19055 62 18 value value NOUN bracis-19055 62 19 and and CCONJ bracis-19055 62 20 draw draw VERB bracis-19055 62 21 a a DET bracis-19055 62 22 horizontal horizontal ADJ bracis-19055 62 23 line line NOUN bracis-19055 62 24 that that PRON bracis-19055 62 25 cuts cut VERB bracis-19055 62 26 the the DET bracis-19055 62 27 tallest tall ADJ bracis-19055 62 28 vertical vertical ADJ bracis-19055 62 29 line line NOUN bracis-19055 62 30 in in ADP bracis-19055 62 31 the the DET bracis-19055 62 32 dendrogram dendrogram NOUN bracis-19055 62 33 , , PUNCT bracis-19055 62 34 and and CCONJ bracis-19055 62 35 take take VERB bracis-19055 62 36 the the DET bracis-19055 62 37 number number NOUN bracis-19055 62 38 of of ADP bracis-19055 62 39 vertical vertical ADJ bracis-19055 62 40 lines line NOUN bracis-19055 62 41 which which PRON bracis-19055 62 42 are be AUX bracis-19055 62 43 intersected intersect VERB bracis-19055 62 44 by by ADP bracis-19055 62 45 the the DET bracis-19055 62 46 line line NOUN bracis-19055 62 47 drawn draw VERB bracis-19055 62 48 using use VERB bracis-19055 62 49 the the DET bracis-19055 62 50 threshold threshold NOUN bracis-19055 62 51 as as ADP bracis-19055 62 52 the the DET bracis-19055 62 53 number number NOUN bracis-19055 62 54 of of ADP bracis-19055 62 55 clusters cluster NOUN bracis-19055 62 56 to to PART bracis-19055 62 57 be be AUX bracis-19055 62 58 used use VERB bracis-19055 62 59 in in ADP bracis-19055 62 60 the the DET bracis-19055 62 61 analysis analysis NOUN bracis-19055 62 62 . . PUNCT bracis-19055 63 1 in in ADP bracis-19055 63 2 this this DET bracis-19055 63 3 case case NOUN bracis-19055 63 4 , , PUNCT bracis-19055 63 5 as as SCONJ bracis-19055 63 6 one one PRON bracis-19055 63 7 can can AUX bracis-19055 63 8 observe observe VERB bracis-19055 63 9 from from ADP bracis-19055 63 10 fig fig NOUN bracis-19055 63 11 . . PUNCT bracis-19055 63 12     SPACE bracis-19055 64 1 2 2 NUM bracis-19055 64 2 , , PUNCT bracis-19055 64 3 the the DET bracis-19055 64 4 number number NOUN bracis-19055 64 5 of of ADP bracis-19055 64 6 clusters cluster NOUN bracis-19055 64 7 has have AUX bracis-19055 64 8 been be AUX bracis-19055 64 9 defined define VERB bracis-19055 64 10 as as ADP bracis-19055 64 11 3 3 NUM bracis-19055 64 12 , , PUNCT bracis-19055 64 13 both both PRON bracis-19055 64 14 for for ADP bracis-19055 64 15 ministry ministry PROPN bracis-19055 64 16 of of ADP bracis-19055 64 17 agriculture agriculture PROPN bracis-19055 64 18 and and CCONJ bracis-19055 64 19 army army NOUN bracis-19055 64 20 command command PROPN bracis-19055 64 21 data data PROPN bracis-19055 64 22 . . PUNCT bracis-19055 65 1 fig fig NOUN bracis-19055 65 2 . . PUNCT bracis-19055 66 1 2 2 X bracis-19055 66 2 . . X bracis-19055 66 3 dendrograms dendrogram NOUN bracis-19055 66 4 generated generate VERB bracis-19055 66 5 from from ADP bracis-19055 66 6 ministry ministry PROPN bracis-19055 66 7 of of ADP bracis-19055 66 8 agriculture agriculture PROPN bracis-19055 66 9 ( ( PUNCT bracis-19055 66 10 left left ADJ bracis-19055 66 11 ) ) PUNCT bracis-19055 66 12 and and CCONJ bracis-19055 66 13 army army NOUN bracis-19055 66 14 command command PROPN bracis-19055 66 15 data datum NOUN bracis-19055 66 16 ( ( PUNCT bracis-19055 66 17 right right ADJ bracis-19055 66 18 ) ) PUNCT bracis-19055 66 19 , , PUNCT bracis-19055 66 20 for for ADP bracis-19055 66 21 the the DET bracis-19055 66 22 hierarchical hierarchical ADJ bracis-19055 66 23 agglomerative agglomerative ADJ bracis-19055 66 24 clustering clustering ADJ bracis-19055 66 25 analysis analysis NOUN bracis-19055 66 26 . . PUNCT bracis-19055 67 1 full full ADJ bracis-19055 67 2 size size NOUN bracis-19055 67 3 image image NOUN bracis-19055 67 4 2.3 2.3 NUM bracis-19055 67 5 network network NOUN bracis-19055 67 6 - - PUNCT bracis-19055 67 7 based base VERB bracis-19055 67 8 approach approach NOUN bracis-19055 67 9 in in ADP bracis-19055 67 10 the the DET bracis-19055 67 11 last last ADJ bracis-19055 67 12 years year NOUN bracis-19055 67 13 , , PUNCT bracis-19055 67 14 driven drive VERB bracis-19055 67 15 by by ADP bracis-19055 67 16 technological technological ADJ bracis-19055 67 17 advances advance NOUN bracis-19055 67 18 and and CCONJ bracis-19055 67 19 by by ADP bracis-19055 67 20 the the DET bracis-19055 67 21 increase increase NOUN bracis-19055 67 22 in in ADP bracis-19055 67 23 the the DET bracis-19055 67 24 number number NOUN bracis-19055 67 25 of of ADP bracis-19055 67 26 data datum NOUN bracis-19055 67 27 available available ADJ bracis-19055 67 28 to to PART bracis-19055 67 29 be be AUX bracis-19055 67 30 analyzed analyze VERB bracis-19055 67 31 , , PUNCT bracis-19055 67 32 the the DET bracis-19055 67 33 area area NOUN bracis-19055 67 34 of of ADP bracis-19055 67 35 complex complex ADJ bracis-19055 67 36 networks network NOUN bracis-19055 67 37 has have AUX bracis-19055 67 38 emerged emerge VERB bracis-19055 67 39 as as ADP bracis-19055 67 40 a a DET bracis-19055 67 41 topic topic NOUN bracis-19055 67 42 capable capable ADJ bracis-19055 67 43 of of ADP bracis-19055 67 44 unifying unify VERB bracis-19055 67 45 complex complex ADJ bracis-19055 67 46 systems system NOUN bracis-19055 67 47 , , PUNCT bracis-19055 67 48 and and CCONJ bracis-19055 67 49 is be AUX bracis-19055 67 50 currently currently ADV bracis-19055 67 51 present present ADJ bracis-19055 67 52 in in ADP bracis-19055 67 53 several several ADJ bracis-19055 67 54 branches branch NOUN bracis-19055 67 55 of of ADP bracis-19055 67 56 science science NOUN bracis-19055 67 57 [ [ X bracis-19055 67 58 5 5 NUM bracis-19055 67 59 ] ] PUNCT bracis-19055 67 60 . . PUNCT bracis-19055 68 1 a a DET bracis-19055 68 2 network network NOUN bracis-19055 68 3 can can AUX bracis-19055 68 4 be be AUX bracis-19055 68 5 defined define VERB bracis-19055 68 6 as as ADP bracis-19055 68 7 a a DET bracis-19055 68 8 graph graph NOUN bracis-19055 68 9 \(\mathcal \(\mathcal ADJ bracis-19055 68 10 { { PUNCT bracis-19055 68 11 g}=(\mathcal g}=(\mathcal ADJ bracis-19055 68 12 { { PUNCT bracis-19055 68 13 v v NOUN bracis-19055 68 14 , , PUNCT bracis-19055 68 15 e})\ e})\ NOUN bracis-19055 68 16 ) ) PUNCT bracis-19055 68 17 , , PUNCT bracis-19055 68 18 where where SCONJ bracis-19055 68 19 \(\mathcal \(\mathcal ADJ bracis-19055 68 20 { { PUNCT bracis-19055 68 21 v}\ v}\ NOUN bracis-19055 68 22 ) ) PUNCT bracis-19055 68 23 is be AUX bracis-19055 68 24 a a DET bracis-19055 68 25 set set NOUN bracis-19055 68 26 of of ADP bracis-19055 68 27 nodes node NOUN bracis-19055 68 28 , , PUNCT bracis-19055 68 29 \(\mathcal \(\mathcal ADJ bracis-19055 68 30 { { PUNCT bracis-19055 68 31 v v NOUN bracis-19055 68 32 } } PUNCT bracis-19055 68 33 = = SYM bracis-19055 68 34 \ \ NOUN bracis-19055 68 35 { { PUNCT bracis-19055 68 36 v_1 v_1 PROPN bracis-19055 68 37 , , PUNCT bracis-19055 68 38 v_2 v_2 PROPN bracis-19055 68 39 , , PUNCT bracis-19055 68 40 ... ... PUNCT bracis-19055 68 41 , , PUNCT bracis-19055 68 42 v_n v_n PUNCT bracis-19055 69 1 \}\ \}\ NOUN bracis-19055 69 2 ) ) PUNCT bracis-19055 69 3 , , PUNCT bracis-19055 69 4 and and CCONJ bracis-19055 69 5 \(\mathcal \(\mathcal ADJ bracis-19055 69 6 { { PUNCT bracis-19055 69 7 e}\ e}\ NUM bracis-19055 69 8 ) ) PUNCT bracis-19055 69 9 is be AUX bracis-19055 69 10 a a DET bracis-19055 69 11 set set NOUN bracis-19055 69 12 of of ADP bracis-19055 69 13 tuples tuple NOUN bracis-19055 69 14 , , PUNCT bracis-19055 70 1 \(\mathcal \(\mathcal ADJ bracis-19055 70 2 { { PUNCT bracis-19055 70 3 e e NOUN bracis-19055 70 4 } } PUNCT bracis-19055 70 5 = = SYM bracis-19055 70 6 \ \ NOUN bracis-19055 70 7 { { PUNCT bracis-19055 70 8 ( ( PUNCT bracis-19055 70 9 i i PROPN bracis-19055 70 10 , , PUNCT bracis-19055 70 11 j j PROPN bracis-19055 70 12 ) ) PUNCT bracis-19055 70 13 : : PUNCT bracis-19055 71 1 i i PRON bracis-19055 71 2 , , PUNCT bracis-19055 71 3 j j PROPN bracis-19055 71 4 \in \in PROPN bracis-19055 71 5 \mathcal \mathcal PROPN bracis-19055 71 6 { { PUNCT bracis-19055 71 7 v v NOUN bracis-19055 71 8 } } PUNCT bracis-19055 71 9 \}\ \}\ NOUN bracis-19055 71 10 ) ) PUNCT bracis-19055 71 11 , , PUNCT bracis-19055 71 12 representing represent VERB bracis-19055 71 13 the the DET bracis-19055 71 14 edges edge NOUN bracis-19055 71 15 between between ADP bracis-19055 71 16 each each DET bracis-19055 71 17 pair pair NOUN bracis-19055 71 18 of of ADP bracis-19055 71 19 nodes node NOUN bracis-19055 71 20 . . PUNCT bracis-19055 72 1 one one NUM bracis-19055 72 2 of of ADP bracis-19055 72 3 the the DET bracis-19055 72 4 most most ADV bracis-19055 72 5 evident evident ADJ bracis-19055 72 6 characteristics characteristic NOUN bracis-19055 72 7 in in ADP bracis-19055 72 8 complex complex ADJ bracis-19055 72 9 networks network NOUN bracis-19055 72 10 is be AUX bracis-19055 72 11 the the DET bracis-19055 72 12 presence presence NOUN bracis-19055 72 13 of of ADP bracis-19055 72 14 communities community NOUN bracis-19055 72 15 . . PUNCT bracis-19055 73 1 the the DET bracis-19055 73 2 notion notion NOUN bracis-19055 73 3 of of ADP bracis-19055 73 4 community community NOUN bracis-19055 73 5 is be AUX bracis-19055 73 6 straightforward straightforward ADJ bracis-19055 73 7 : : PUNCT bracis-19055 73 8 each each DET bracis-19055 73 9 community community NOUN bracis-19055 73 10 is be AUX bracis-19055 73 11 defined define VERB bracis-19055 73 12 as as ADP bracis-19055 73 13 a a DET bracis-19055 73 14 subgraph subgraph NOUN bracis-19055 73 15 ( ( PUNCT bracis-19055 73 16 or or CCONJ bracis-19055 73 17 subnet subnet NOUN bracis-19055 73 18 ) ) PUNCT bracis-19055 73 19 whose whose DET bracis-19055 73 20 vertices vertex NOUN bracis-19055 73 21 are be AUX bracis-19055 73 22 densely densely ADV bracis-19055 73 23 interconnected interconnected ADJ bracis-19055 73 24 and and CCONJ bracis-19055 73 25 , , PUNCT bracis-19055 73 26 at at ADP bracis-19055 73 27 the the DET bracis-19055 73 28 same same ADJ bracis-19055 73 29 time time NOUN bracis-19055 73 30 , , PUNCT bracis-19055 73 31 these these DET bracis-19055 73 32 vertices vertex NOUN bracis-19055 73 33 have have VERB bracis-19055 73 34 little little ADJ bracis-19055 73 35 connection connection NOUN bracis-19055 73 36 with with ADP bracis-19055 73 37 the the DET bracis-19055 73 38 rest rest NOUN bracis-19055 73 39 of of ADP bracis-19055 73 40 the the DET bracis-19055 73 41 network network NOUN bracis-19055 73 42 . . PUNCT bracis-19055 74 1 a a DET bracis-19055 74 2 traditional traditional ADJ bracis-19055 74 3 way way NOUN bracis-19055 74 4 of of ADP bracis-19055 74 5 detecting detect VERB bracis-19055 74 6 communities community NOUN bracis-19055 74 7 in in ADP bracis-19055 74 8 a a DET bracis-19055 74 9 network network NOUN bracis-19055 74 10 is be AUX bracis-19055 74 11 through through ADP bracis-19055 74 12 the the DET bracis-19055 74 13 use use NOUN bracis-19055 74 14 of of ADP bracis-19055 74 15 the the DET bracis-19055 74 16 modularity modularity NOUN bracis-19055 74 17 measure measure NOUN bracis-19055 74 18 , , PUNCT bracis-19055 74 19 which which PRON bracis-19055 74 20 , , PUNCT bracis-19055 74 21 broadly broadly ADV bracis-19055 74 22 speaking speak VERB bracis-19055 74 23 , , PUNCT bracis-19055 74 24 compares compare VERB bracis-19055 74 25 the the DET bracis-19055 74 26 number number NOUN bracis-19055 74 27 of of ADP bracis-19055 74 28 connections connection NOUN bracis-19055 74 29 between between ADP bracis-19055 74 30 vertices vertex NOUN bracis-19055 74 31 which which PRON bracis-19055 74 32 share share VERB bracis-19055 74 33 a a DET bracis-19055 74 34 same same ADJ bracis-19055 74 35 characteristic characteristic NOUN bracis-19055 74 36 with with ADP bracis-19055 74 37 the the DET bracis-19055 74 38 expected expect VERB bracis-19055 74 39 number number NOUN bracis-19055 74 40 of of ADP bracis-19055 74 41 connections connection NOUN bracis-19055 74 42 when when SCONJ bracis-19055 74 43 occurred occur VERB bracis-19055 74 44 randomly randomly ADV bracis-19055 74 45 [ [ X bracis-19055 74 46 7 7 NUM bracis-19055 74 47 ] ] PUNCT bracis-19055 74 48 . . PUNCT bracis-19055 75 1 the the DET bracis-19055 75 2 fast fast ADJ bracis-19055 75 3 greedy greedy ADJ bracis-19055 75 4 algorithm algorithm NOUN bracis-19055 75 5 [ [ X bracis-19055 75 6 9 9 NUM bracis-19055 75 7 ] ] PUNCT bracis-19055 75 8 , , PUNCT bracis-19055 75 9 for for ADP bracis-19055 75 10 example example NOUN bracis-19055 75 11 , , PUNCT bracis-19055 75 12 determines determine VERB bracis-19055 75 13 the the DET bracis-19055 75 14 optimal optimal ADJ bracis-19055 75 15 number number NOUN bracis-19055 75 16 of of ADP bracis-19055 75 17 communities community NOUN bracis-19055 75 18 in in ADP bracis-19055 75 19 the the DET bracis-19055 75 20 network network NOUN bracis-19055 75 21 by by ADP bracis-19055 75 22 maximizing maximize VERB bracis-19055 75 23 the the DET bracis-19055 75 24 modularity modularity NOUN bracis-19055 75 25 score score NOUN bracis-19055 75 26 of of ADP bracis-19055 75 27 the the DET bracis-19055 75 28 graph graph NOUN bracis-19055 75 29 . . PUNCT bracis-19055 76 1 although although SCONJ bracis-19055 76 2 there there PRON bracis-19055 76 3 are be VERB bracis-19055 76 4 currently currently ADV bracis-19055 76 5 already already ADV bracis-19055 76 6 different different ADJ bracis-19055 76 7 graph graph NOUN bracis-19055 76 8 - - PUNCT bracis-19055 76 9 based base VERB bracis-19055 76 10 methods method NOUN bracis-19055 76 11 for for ADP bracis-19055 76 12 detecting detect VERB bracis-19055 76 13 anomalies anomaly NOUN bracis-19055 76 14 [ [ X bracis-19055 76 15 2 2 NUM bracis-19055 76 16 ] ] PUNCT bracis-19055 76 17 , , PUNCT bracis-19055 76 18 for for ADP bracis-19055 76 19 this this DET bracis-19055 76 20 study study NOUN bracis-19055 76 21 , , PUNCT bracis-19055 76 22 we we PRON bracis-19055 76 23 have have AUX bracis-19055 76 24 opted opt VERB bracis-19055 76 25 for for ADP bracis-19055 76 26 developing develop VERB bracis-19055 76 27 and and CCONJ bracis-19055 76 28 testing test VERB bracis-19055 76 29 a a DET bracis-19055 76 30 novel novel ADJ bracis-19055 76 31 one one NUM bracis-19055 76 32 for for ADP bracis-19055 76 33 the the DET bracis-19055 76 34 considered consider VERB bracis-19055 76 35 task task NOUN bracis-19055 76 36 . . PUNCT bracis-19055 77 1 the the DET bracis-19055 77 2 network network NOUN bracis-19055 77 3 - - PUNCT bracis-19055 77 4 based base VERB bracis-19055 77 5 approach approach NOUN bracis-19055 77 6 introduced introduce VERB bracis-19055 77 7 in in ADP bracis-19055 77 8 this this DET bracis-19055 77 9 work work NOUN bracis-19055 77 10 is be AUX bracis-19055 77 11 inspired inspire VERB bracis-19055 77 12 on on ADP bracis-19055 77 13 a a DET bracis-19055 77 14 technique technique NOUN bracis-19055 77 15 originally originally ADV bracis-19055 77 16 conceived conceive VERB bracis-19055 77 17 for for ADP bracis-19055 77 18 detecting detect VERB bracis-19055 77 19 periodicity periodicity NOUN bracis-19055 77 20 in in ADP bracis-19055 77 21 time time NOUN bracis-19055 77 22 series series NOUN bracis-19055 77 23 , , PUNCT bracis-19055 77 24 such such ADJ bracis-19055 77 25 as as ADP bracis-19055 77 26 in in ADP bracis-19055 77 27 weather weather NOUN bracis-19055 77 28 - - PUNCT bracis-19055 77 29 related relate VERB bracis-19055 77 30 data datum NOUN bracis-19055 77 31 [ [ X bracis-19055 77 32 13 13 NUM bracis-19055 77 33 ] ] PUNCT bracis-19055 77 34 . . PUNCT bracis-19055 78 1 the the DET bracis-19055 78 2 same same ADJ bracis-19055 78 3 technique technique NOUN bracis-19055 78 4 had have AUX bracis-19055 78 5 also also ADV bracis-19055 78 6 already already ADV bracis-19055 78 7 inspired inspire VERB bracis-19055 78 8 the the DET bracis-19055 78 9 developing developing NOUN bracis-19055 78 10 of of ADP bracis-19055 78 11 a a DET bracis-19055 78 12 network network NOUN bracis-19055 78 13 - - PUNCT bracis-19055 78 14 based base VERB bracis-19055 78 15 model model NOUN bracis-19055 78 16 to to PART bracis-19055 78 17 identify identify VERB bracis-19055 78 18 up up ADP bracis-19055 78 19 and and CCONJ bracis-19055 78 20 down down ADP bracis-19055 78 21 price price NOUN bracis-19055 78 22 trend trend NOUN bracis-19055 78 23 patterns pattern NOUN bracis-19055 78 24 in in ADP bracis-19055 78 25 the the DET bracis-19055 78 26 stock stock NOUN bracis-19055 78 27 market market NOUN bracis-19055 78 28 , , PUNCT bracis-19055 78 29 using use VERB bracis-19055 78 30 real real ADJ bracis-19055 78 31 data datum NOUN bracis-19055 78 32 [ [ X bracis-19055 78 33 10 10 NUM bracis-19055 78 34 , , PUNCT bracis-19055 78 35 11 11 NUM bracis-19055 78 36 ] ] PUNCT bracis-19055 78 37 and and CCONJ bracis-19055 78 38 , , PUNCT bracis-19055 78 39 in in ADP bracis-19055 78 40 this this DET bracis-19055 78 41 study study NOUN bracis-19055 78 42 , , PUNCT bracis-19055 78 43 we we PRON bracis-19055 78 44 adapt adapt VERB bracis-19055 78 45 it it PRON bracis-19055 78 46 in in ADP bracis-19055 78 47 order order NOUN bracis-19055 78 48 to to PART bracis-19055 78 49 detect detect VERB bracis-19055 78 50 anomalies anomaly NOUN bracis-19055 78 51 in in ADP bracis-19055 78 52 federal federal ADJ bracis-19055 78 53 government government NOUN bracis-19055 78 54 payment payment NOUN bracis-19055 78 55 cards card NOUN bracis-19055 78 56 ( ( PUNCT bracis-19055 78 57 cpgf cpgf NOUN bracis-19055 78 58 ) ) PUNCT bracis-19055 78 59 data datum NOUN bracis-19055 78 60 . . PUNCT bracis-19055 79 1 we we PRON bracis-19055 79 2 start start VERB bracis-19055 79 3 by by ADP bracis-19055 79 4 grouping group VERB bracis-19055 79 5 the the DET bracis-19055 79 6 daily daily ADJ bracis-19055 79 7 cpgf cpgf NOUN bracis-19055 79 8 expenses expense VERB bracis-19055 79 9 data datum NOUN bracis-19055 79 10 , , PUNCT bracis-19055 79 11 in in ADP bracis-19055 79 12 the the DET bracis-19055 79 13 form form NOUN bracis-19055 79 14 of of ADP bracis-19055 79 15 weekly weekly ADJ bracis-19055 79 16 averaged average VERB bracis-19055 79 17 values value NOUN bracis-19055 79 18 , , PUNCT bracis-19055 79 19 considering consider VERB bracis-19055 79 20 only only ADV bracis-19055 79 21 the the DET bracis-19055 79 22 days day NOUN bracis-19055 79 23 where where SCONJ bracis-19055 79 24 there there PRON bracis-19055 79 25 were be VERB bracis-19055 79 26 at at ADV bracis-19055 79 27 least least ADJ bracis-19055 79 28 one one NUM bracis-19055 79 29 card card NOUN bracis-19055 79 30 transaction transaction NOUN bracis-19055 79 31 . . PUNCT bracis-19055 80 1 afterwards afterwards ADV bracis-19055 80 2 , , PUNCT bracis-19055 80 3 we we PRON bracis-19055 80 4 calculate calculate VERB bracis-19055 80 5 the the DET bracis-19055 80 6 variations variation NOUN bracis-19055 80 7 in in ADP bracis-19055 80 8 the the DET bracis-19055 80 9 weekly weekly ADJ bracis-19055 80 10 time time NOUN bracis-19055 80 11 series series NOUN bracis-19055 80 12 , , PUNCT bracis-19055 80 13 using use VERB bracis-19055 80 14 a a DET bracis-19055 80 15 sliding slide VERB bracis-19055 80 16 window window NOUN bracis-19055 80 17 , , PUNCT bracis-19055 80 18 in in ADP bracis-19055 80 19 the the DET bracis-19055 80 20 form form NOUN bracis-19055 80 21 of of ADP bracis-19055 80 22 an an DET bracis-19055 80 23 array array NOUN bracis-19055 80 24 x. x. NOUN bracis-19055 81 1 this this DET bracis-19055 81 2 array array NOUN bracis-19055 81 3 is be AUX bracis-19055 81 4 then then ADV bracis-19055 81 5 sorted sort VERB bracis-19055 81 6 in in ADP bracis-19055 81 7 ascending ascend VERB bracis-19055 81 8 order order NOUN bracis-19055 81 9 , , PUNCT bracis-19055 81 10 by by ADP bracis-19055 81 11 weekly weekly ADJ bracis-19055 81 12 variations variation NOUN bracis-19055 81 13 , , PUNCT bracis-19055 81 14 and and CCONJ bracis-19055 81 15 split split VERB bracis-19055 81 16 into into ADP bracis-19055 81 17 n n PRON bracis-19055 81 18 ranges range NOUN bracis-19055 81 19 with with ADP bracis-19055 81 20 the the DET bracis-19055 81 21 same same ADJ bracis-19055 81 22 length length NOUN bracis-19055 81 23 l. l. NOUN bracis-19055 81 24 in in ADP bracis-19055 81 25 the the DET bracis-19055 81 26 original original ADJ bracis-19055 81 27 study study NOUN bracis-19055 81 28 [ [ X bracis-19055 81 29 13 13 NUM bracis-19055 81 30 ] ] PUNCT bracis-19055 81 31 , , PUNCT bracis-19055 81 32 l l PROPN bracis-19055 81 33 is be AUX bracis-19055 81 34 defined define VERB bracis-19055 81 35 as as ADP bracis-19055 81 36 \(\sqrt{t}\ \(\sqrt{t}\ NOUN bracis-19055 81 37 ) ) PUNCT bracis-19055 81 38 , , PUNCT bracis-19055 81 39 where where SCONJ bracis-19055 81 40 t t PROPN bracis-19055 81 41 is be AUX bracis-19055 81 42 the the DET bracis-19055 81 43 total total ADJ bracis-19055 81 44 length length NOUN bracis-19055 81 45 of of ADP bracis-19055 81 46 x x PUNCT bracis-19055 81 47 and and CCONJ bracis-19055 81 48 , , PUNCT bracis-19055 81 49 in in ADP bracis-19055 81 50 this this DET bracis-19055 81 51 work work NOUN bracis-19055 81 52 , , PUNCT bracis-19055 81 53 we we PRON bracis-19055 81 54 opt opt VERB bracis-19055 81 55 to to PART bracis-19055 81 56 set set VERB bracis-19055 81 57 \(l=\root \(l=\root NUM bracis-19055 81 58 3 3 NUM bracis-19055 81 59 \of \of NOUN bracis-19055 81 60 { { PUNCT bracis-19055 81 61 t}\ t}\ NUM bracis-19055 81 62 ) ) PUNCT bracis-19055 81 63 , , PUNCT bracis-19055 81 64 thus thus ADV bracis-19055 81 65 increasing increase VERB bracis-19055 81 66 the the DET bracis-19055 81 67 number number NOUN bracis-19055 81 68 of of ADP bracis-19055 81 69 ranges range NOUN bracis-19055 81 70 n n X bracis-19055 81 71 in in ADP bracis-19055 81 72 the the DET bracis-19055 81 73 series series NOUN bracis-19055 81 74 , , PUNCT bracis-19055 81 75 to to PART bracis-19055 81 76 better well ADV bracis-19055 81 77 adapt adapt VERB bracis-19055 81 78 the the DET bracis-19055 81 79 technique technique NOUN bracis-19055 81 80 for for ADP bracis-19055 81 81 the the DET bracis-19055 81 82 outlier outlier ADJ bracis-19055 81 83 detection detection NOUN bracis-19055 81 84 task task NOUN bracis-19055 81 85 . . PUNCT bracis-19055 82 1 these these DET bracis-19055 82 2 ranges range NOUN bracis-19055 82 3 can can AUX bracis-19055 82 4 be be AUX bracis-19055 82 5 represented represent VERB bracis-19055 82 6 by by ADP bracis-19055 82 7 a a DET bracis-19055 82 8 list list NOUN bracis-19055 82 9 \(r \(r NOUN bracis-19055 82 10 = = PUNCT bracis-19055 83 1 [ [ X bracis-19055 83 2 r_0 r_0 PRON bracis-19055 83 3 , , PUNCT bracis-19055 83 4 r_1 r_1 PROPN bracis-19055 83 5 , , PUNCT bracis-19055 83 6 r_2 r_2 PROPN bracis-19055 83 7 . . PUNCT bracis-19055 83 8 . . PUNCT bracis-19055 84 1 . . PUNCT bracis-19055 85 1 , , PUNCT bracis-19055 85 2 r_{n-1}]\ r_{n-1}]\ NOUN bracis-19055 85 3 ) ) PUNCT bracis-19055 85 4 ordered order VERB bracis-19055 85 5 from from ADP bracis-19055 85 6 low low ADJ bracis-19055 85 7 to to ADP bracis-19055 85 8 high high ADJ bracis-19055 85 9 ranges range NOUN bracis-19055 85 10 . . PUNCT bracis-19055 86 1 more more ADV bracis-19055 86 2 specifically specifically ADV bracis-19055 86 3 , , PUNCT bracis-19055 86 4 each each DET bracis-19055 86 5 range range NOUN bracis-19055 86 6 \(r_q \(r_q PUNCT bracis-19055 86 7 \in \in PROPN bracis-19055 86 8 r\ r\ PROPN bracis-19055 86 9 ) ) PUNCT bracis-19055 86 10 is be AUX bracis-19055 86 11 an an DET bracis-19055 86 12 interval interval NOUN bracis-19055 86 13 defined define VERB bracis-19055 86 14 as as SCONJ bracis-19055 86 15 follows follow VERB bracis-19055 86 16 : : PUNCT bracis-19055 86 17 $ $ SYM bracis-19055 86 18 $ $ SYM bracis-19055 86 19 \begin{aligned \begin{aligne VERB bracis-19055 86 20 } } PUNCT bracis-19055 86 21 r_q r_q PUNCT bracis-19055 87 1 = = SYM bracis-19055 87 2 \left\ \left\ PROPN bracis-19055 87 3 { { PUNCT bracis-19055 87 4 \begin{array}{ll \begin{array}{ll PROPN bracis-19055 87 5 } } PUNCT bracis-19055 87 6 [ [ X bracis-19055 87 7 \text \text NOUN bracis-19055 87 8 { { PUNCT bracis-19055 87 9 min min NOUN bracis-19055 87 10 } } PUNCT bracis-19055 87 11 ( ( PUNCT bracis-19055 87 12 x x NOUN bracis-19055 87 13 ) ) PUNCT bracis-19055 87 14 , , PUNCT bracis-19055 87 15 x_{[1 x_{[1 PROPN bracis-19055 87 16 / / SYM bracis-19055 87 17 n n CCONJ bracis-19055 87 18 ] ] PUNCT bracis-19055 87 19 } } PUNCT bracis-19055 87 20 ] ] PUNCT bracis-19055 87 21 & & CCONJ bracis-19055 87 22 { { PUNCT bracis-19055 87 23 } } PUNCT bracis-19055 87 24 \text \text NOUN bracis-19055 87 25 { { PUNCT bracis-19055 87 26 if if SCONJ bracis-19055 87 27 } } PUNCT bracis-19055 87 28 q=0;\\ q=0;\\ ADJ bracis-19055 87 29 ] ] PUNCT bracis-19055 87 30 x_{[(q-1)/n x_{[(q-1)/n NOUN bracis-19055 87 31 ] ] X bracis-19055 87 32 } } PUNCT bracis-19055 87 33 , , PUNCT bracis-19055 87 34 x_{[q x_{[q PROPN bracis-19055 87 35 / / SYM bracis-19055 87 36 n n CCONJ bracis-19055 87 37 ] ] PUNCT bracis-19055 87 38 } } PUNCT bracis-19055 87 39 ] ] PUNCT bracis-19055 87 40 & & CCONJ bracis-19055 87 41 { { PUNCT bracis-19055 87 42 } } PUNCT bracis-19055 87 43 \text \text NOUN bracis-19055 87 44 { { PUNCT bracis-19055 87 45 if if SCONJ bracis-19055 87 46 } } PUNCT bracis-19055 87 47 q q X bracis-19055 87 48 \in \in PROPN bracis-19055 87 49 ( ( PUNCT bracis-19055 87 50 1,\ldots 1,\ldots NUM bracis-19055 87 51 , , PUNCT bracis-19055 87 52 n-2 n-2 NUM bracis-19055 87 53 ) ) PUNCT bracis-19055 87 54 ; ; PUNCT bracis-19055 87 55 \\ \\ NOUN bracis-19055 87 56 ] ] PUNCT bracis-19055 87 57 x_{[(q-1)/n x_{[(q-1)/n PROPN bracis-19055 87 58 ] ] X bracis-19055 87 59 } } PUNCT bracis-19055 87 60 , , PUNCT bracis-19055 87 61 \text \text PROPN bracis-19055 87 62 { { PUNCT bracis-19055 87 63 max max NOUN bracis-19055 87 64 } } PUNCT bracis-19055 87 65 ( ( PUNCT bracis-19055 87 66 x x NOUN bracis-19055 87 67 ) ) PUNCT bracis-19055 87 68 ] ] PUNCT bracis-19055 87 69 & & CCONJ bracis-19055 87 70 { { PUNCT bracis-19055 87 71 } } PUNCT bracis-19055 87 72 \text \text NOUN bracis-19055 87 73 { { PUNCT bracis-19055 87 74 if if SCONJ bracis-19055 87 75 } } PUNCT bracis-19055 87 76 q q NOUN bracis-19055 87 77 = = NOUN bracis-19055 87 78 n-1 n-1 ADJ bracis-19055 87 79 , , PUNCT bracis-19055 87 80 \end{array \end{array ADJ bracis-19055 87 81 } } PUNCT bracis-19055 87 82 \right \right PROPN bracis-19055 87 83 . . PROPN bracis-19055 87 84 \end{aligned}$$ \end{aligned}$$ PROPN bracis-19055 87 85 ( ( PUNCT bracis-19055 87 86 2 2 NUM bracis-19055 87 87 ) ) PUNCT bracis-19055 87 88 where where SCONJ bracis-19055 87 89 \(x_{[qt]}\ \(x_{[qt]}\ NUM bracis-19055 87 90 ) ) PUNCT bracis-19055 87 91 denotes denote VERB bracis-19055 87 92 the the DET bracis-19055 87 93 empirical empirical ADJ bracis-19055 87 94 qt qt NOUN bracis-19055 87 95 - - PUNCT bracis-19055 87 96 quantile quantile NOUN bracis-19055 87 97 of of ADP bracis-19055 87 98 x x NOUN bracis-19055 87 99 , , PUNCT bracis-19055 87 100 \(qt \(qt NOUN bracis-19055 87 101 \in \in PROPN bracis-19055 87 102 [ [ NOUN bracis-19055 87 103 0,1]\ 0,1]\ NOUN bracis-19055 87 104 ) ) PUNCT bracis-19055 87 105 . . PUNCT bracis-19055 88 1 every every DET bracis-19055 88 2 range range NOUN bracis-19055 88 3 \(r_q \(r_q PUNCT bracis-19055 88 4 \in \in PROPN bracis-19055 88 5 r\ r\ PROPN bracis-19055 88 6 ) ) PUNCT bracis-19055 88 7 will will AUX bracis-19055 88 8 be be AUX bracis-19055 88 9 mapped map VERB bracis-19055 88 10 as as ADP bracis-19055 88 11 a a DET bracis-19055 88 12 vertex vertex NOUN bracis-19055 88 13 \(v_q \(v_q ADP bracis-19055 88 14 \in \in PROPN bracis-19055 88 15 \mathcal \mathcal PROPN bracis-19055 88 16 { { PUNCT bracis-19055 88 17 v}\ v}\ PROPN bracis-19055 88 18 ) ) PUNCT bracis-19055 88 19 in in ADP bracis-19055 88 20 the the DET bracis-19055 88 21 network network NOUN bracis-19055 88 22 \(\mathcal \(\mathcal ADJ bracis-19055 88 23 { { PUNCT bracis-19055 88 24 g(v g(v PROPN bracis-19055 88 25 , , PUNCT bracis-19055 88 26 e)}\ e)}\ PROPN bracis-19055 88 27 ) ) PUNCT bracis-19055 88 28 . . PUNCT bracis-19055 89 1 for for ADP bracis-19055 89 2 this this DET bracis-19055 89 3 end end NOUN bracis-19055 89 4 , , PUNCT bracis-19055 89 5 we we PRON bracis-19055 89 6 label label VERB bracis-19055 89 7 every every DET bracis-19055 89 8 range range NOUN bracis-19055 89 9 of of ADP bracis-19055 89 10 r r NOUN bracis-19055 89 11 as as ADP bracis-19055 89 12 a a DET bracis-19055 89 13 sequence sequence NOUN bracis-19055 89 14 of of ADP bracis-19055 89 15 integers integer NOUN bracis-19055 89 16 \([0 \([0 NOUN bracis-19055 89 17 , , PUNCT bracis-19055 89 18 1 1 NUM bracis-19055 89 19 , , PUNCT bracis-19055 89 20 2 2 NUM bracis-19055 89 21 . . PUNCT bracis-19055 89 22 . . PUNCT bracis-19055 90 1 . . PUNCT bracis-19055 91 1 , , PUNCT bracis-19055 91 2 n-1]\ n-1]\ PROPN bracis-19055 91 3 ) ) PUNCT bracis-19055 91 4 in in ADP bracis-19055 91 5 the the DET bracis-19055 91 6 same same ADJ bracis-19055 91 7 order order NOUN bracis-19055 91 8 they they PRON bracis-19055 91 9 appeared appear VERB bracis-19055 91 10 in in ADP bracis-19055 91 11 r r NOUN bracis-19055 91 12 , , PUNCT bracis-19055 91 13 that that PRON bracis-19055 91 14 will will AUX bracis-19055 91 15 be be AUX bracis-19055 91 16 used use VERB bracis-19055 91 17 to to PART bracis-19055 91 18 represent represent VERB bracis-19055 91 19 the the DET bracis-19055 91 20 indexes index NOUN bracis-19055 91 21 of of ADP bracis-19055 91 22 an an DET bracis-19055 91 23 adjacency adjacency NOUN bracis-19055 91 24 matrix matrix NOUN bracis-19055 91 25 a a PRON bracis-19055 91 26 , , PUNCT bracis-19055 91 27 and and CCONJ bracis-19055 91 28 also also ADV bracis-19055 91 29 to to PART bracis-19055 91 30 store store VERB bracis-19055 91 31 the the DET bracis-19055 91 32 variation variation NOUN bracis-19055 91 33 ranges range VERB bracis-19055 91 34 in in ADP bracis-19055 91 35 r r NOUN bracis-19055 91 36 as as SCONJ bracis-19055 91 37 node node NOUN bracis-19055 91 38 attributes attribute VERB bracis-19055 91 39 in in ADP bracis-19055 91 40 the the DET bracis-19055 91 41 set set NOUN bracis-19055 91 42 of of ADP bracis-19055 91 43 nodes node NOUN bracis-19055 91 44 \(\mathcal \(\mathcal ADJ bracis-19055 91 45 { { PUNCT bracis-19055 91 46 v}\ v}\ NUM bracis-19055 91 47 ) ) PUNCT bracis-19055 91 48 , , PUNCT bracis-19055 91 49 from from ADP bracis-19055 91 50 network network NOUN bracis-19055 91 51 \(\mathcal \(\mathcal ADJ bracis-19055 91 52 { { PUNCT bracis-19055 91 53 g}\ g}\ NOUN bracis-19055 91 54 ) ) PUNCT bracis-19055 91 55 . . PUNCT bracis-19055 92 1 initially initially ADV bracis-19055 92 2 , , PUNCT bracis-19055 92 3 a a PRON bracis-19055 92 4 is be AUX bracis-19055 92 5 considered consider VERB bracis-19055 92 6 a a DET bracis-19055 92 7 null null ADJ bracis-19055 92 8 matrix matrix NOUN bracis-19055 92 9 , , PUNCT bracis-19055 92 10 of of ADP bracis-19055 92 11 size size NOUN bracis-19055 92 12 \(n \(n NOUN bracis-19055 92 13 \times \times ADP bracis-19055 92 14 n\ n\ NOUN bracis-19055 92 15 ) ) PUNCT bracis-19055 92 16 . . PUNCT bracis-19055 93 1 two two NUM bracis-19055 93 2 vertices vertex NOUN bracis-19055 93 3 \(v_q\ \(v_q\ NOUN bracis-19055 93 4 ) ) PUNCT bracis-19055 93 5 and and CCONJ bracis-19055 93 6 \(v_w\ \(v_w\ NOUN bracis-19055 93 7 ) ) PUNCT bracis-19055 93 8 will will AUX bracis-19055 93 9 become become VERB bracis-19055 93 10 connected connected ADJ bracis-19055 93 11 if if SCONJ bracis-19055 93 12 there there PRON bracis-19055 93 13 are be VERB bracis-19055 93 14 two two NUM bracis-19055 93 15 consecutive consecutive ADJ bracis-19055 93 16 observations observation NOUN bracis-19055 93 17 \(x_i\ \(x_i\ NOUN bracis-19055 93 18 ) ) PUNCT bracis-19055 93 19 and and CCONJ bracis-19055 93 20 \(x_{i+1}\ \(x_{i+1}\ NUM bracis-19055 93 21 ) ) PUNCT bracis-19055 93 22 in in ADP bracis-19055 93 23 the the DET bracis-19055 93 24 series series NOUN bracis-19055 93 25 located locate VERB bracis-19055 93 26 in in ADP bracis-19055 93 27 the the DET bracis-19055 93 28 different different ADJ bracis-19055 93 29 ranges range NOUN bracis-19055 93 30 \(r_q\ \(r_q\ PRON bracis-19055 93 31 ) ) PUNCT bracis-19055 93 32 and and CCONJ bracis-19055 93 33 \(r_w\ \(r_w\ NOUN bracis-19055 93 34 ) ) PUNCT bracis-19055 93 35 , , PUNCT bracis-19055 93 36 i.e. i.e. X bracis-19055 93 37 , , PUNCT bracis-19055 93 38 if if SCONJ bracis-19055 93 39 they they PRON bracis-19055 93 40 ever ever ADV bracis-19055 93 41 appeared appear VERB bracis-19055 93 42 consecutively consecutively ADV bracis-19055 93 43 in in ADP bracis-19055 93 44 the the DET bracis-19055 93 45 series series NOUN bracis-19055 93 46 , , PUNCT bracis-19055 93 47 chronologically chronologically ADV bracis-19055 93 48 . . PUNCT bracis-19055 94 1 in in ADP bracis-19055 94 2 this this DET bracis-19055 94 3 case case NOUN bracis-19055 94 4 , , PUNCT bracis-19055 94 5 we we PRON bracis-19055 94 6 have have VERB bracis-19055 94 7 that that DET bracis-19055 94 8 \(a_{q \(a_{q PROPN bracis-19055 94 9 , , PUNCT bracis-19055 94 10 w w NOUN bracis-19055 94 11 } } PUNCT bracis-19055 94 12 = = SYM bracis-19055 94 13 a_{w a_{w PROPN bracis-19055 94 14 , , PUNCT bracis-19055 94 15 q q X bracis-19055 94 16 } } PUNCT bracis-19055 94 17 = = SYM bracis-19055 94 18 1\ 1\ NUM bracis-19055 94 19 ) ) PUNCT bracis-19055 94 20 . . PUNCT bracis-19055 95 1 the the DET bracis-19055 95 2 graph graph NOUN bracis-19055 95 3 resulting result VERB bracis-19055 95 4 from from ADP bracis-19055 95 5 repeating repeat VERB bracis-19055 95 6 this this DET bracis-19055 95 7 process process NOUN bracis-19055 95 8 to to ADP bracis-19055 95 9 all all DET bracis-19055 95 10 pairs pair NOUN bracis-19055 95 11 of of ADP bracis-19055 95 12 consecutive consecutive ADJ bracis-19055 95 13 observations observation NOUN bracis-19055 95 14 in in ADP bracis-19055 95 15 x x VERB bracis-19055 95 16 is be AUX bracis-19055 95 17 an an DET bracis-19055 95 18 undirected undirected ADJ bracis-19055 95 19 one one NOUN bracis-19055 95 20 . . PUNCT bracis-19055 96 1 the the DET bracis-19055 96 2 overall overall ADJ bracis-19055 96 3 procedure procedure NOUN bracis-19055 96 4 for for ADP bracis-19055 96 5 generating generate VERB bracis-19055 96 6 the the DET bracis-19055 96 7 network network NOUN bracis-19055 96 8 is be AUX bracis-19055 96 9 described describe VERB bracis-19055 96 10 in in ADP bracis-19055 96 11 algorithm algorithm PROPN bracis-19055 96 12     SPACE bracis-19055 96 13 1 1 NUM bracis-19055 96 14 . . PUNCT bracis-19055 97 1 in in ADP bracis-19055 97 2 fig fig NOUN bracis-19055 97 3 . . PUNCT bracis-19055 97 4     SPACE bracis-19055 97 5 3 3 NUM bracis-19055 97 6 , , PUNCT bracis-19055 97 7 we we PRON bracis-19055 97 8 provide provide VERB bracis-19055 97 9 an an DET bracis-19055 97 10 illustration illustration NOUN bracis-19055 97 11 showing show VERB bracis-19055 97 12 the the DET bracis-19055 97 13 application application NOUN bracis-19055 97 14 of of ADP bracis-19055 97 15 the the DET bracis-19055 97 16 network network NOUN bracis-19055 97 17 - - PUNCT bracis-19055 97 18 based base VERB bracis-19055 97 19 technique technique NOUN bracis-19055 97 20 on on ADP bracis-19055 97 21 a a DET bracis-19055 97 22 simple simple ADJ bracis-19055 97 23 time time NOUN bracis-19055 97 24 series series NOUN bracis-19055 97 25 , , PUNCT bracis-19055 97 26 comprising comprise VERB bracis-19055 97 27 only only ADV bracis-19055 97 28 12 12 NUM bracis-19055 97 29 observed observe VERB bracis-19055 97 30 weekly weekly ADJ bracis-19055 97 31 values value NOUN bracis-19055 97 32 . . PUNCT bracis-19055 98 1 in in ADP bracis-19055 98 2 this this DET bracis-19055 98 3 case case NOUN bracis-19055 98 4 , , PUNCT bracis-19055 98 5 the the DET bracis-19055 98 6 array array NOUN bracis-19055 98 7 is be AUX bracis-19055 98 8 divided divide VERB bracis-19055 98 9 into into ADP bracis-19055 98 10 6 6 NUM bracis-19055 98 11 equal equal ADJ bracis-19055 98 12 parts part NOUN bracis-19055 98 13 with with ADP bracis-19055 98 14 two two NUM bracis-19055 98 15 observations observation NOUN bracis-19055 98 16 in in ADP bracis-19055 98 17 each each PRON bracis-19055 98 18 of of ADP bracis-19055 98 19 them they PRON bracis-19055 98 20 , , PUNCT bracis-19055 98 21 i.e. i.e. X bracis-19055 98 22 , , PUNCT bracis-19055 98 23 \(\root \(\root ADJ bracis-19055 98 24 3 3 NUM bracis-19055 98 25 \of \of PROPN bracis-19055 98 26 { { PUNCT bracis-19055 98 27 12}\ 12}\ NUM bracis-19055 98 28 ) ) PUNCT bracis-19055 98 29 , , PUNCT bracis-19055 98 30 creating create VERB bracis-19055 98 31 variation variation NOUN bracis-19055 98 32 ranges range VERB bracis-19055 98 33 \(r \(r NOUN bracis-19055 98 34 = = PUNCT bracis-19055 99 1 [ [ X bracis-19055 99 2 r_0 r_0 PRON bracis-19055 99 3 , , PUNCT bracis-19055 99 4 r_1 r_1 PROPN bracis-19055 99 5 , , PUNCT bracis-19055 99 6 r_2 r_2 PROPN bracis-19055 99 7 , , PUNCT bracis-19055 99 8 r_3 r_3 NOUN bracis-19055 99 9 , , PUNCT bracis-19055 99 10 r_4 r_4 PROPN bracis-19055 99 11 , , PUNCT bracis-19055 99 12 r_5]\ r_5]\ NUM bracis-19055 99 13 ) ) PUNCT bracis-19055 99 14 . . PUNCT bracis-19055 100 1 these these DET bracis-19055 100 2 values value NOUN bracis-19055 100 3 are be AUX bracis-19055 100 4 then then ADV bracis-19055 100 5 mapped map VERB bracis-19055 100 6 as as ADP bracis-19055 100 7 nodes node NOUN bracis-19055 100 8 in in ADP bracis-19055 100 9 the the DET bracis-19055 100 10 network network NOUN bracis-19055 100 11 \(\mathcal \(\mathcal ADJ bracis-19055 100 12 { { PUNCT bracis-19055 100 13 g}\ g}\ NOUN bracis-19055 100 14 ) ) PUNCT bracis-19055 100 15 , , PUNCT bracis-19055 100 16 with with SCONJ bracis-19055 100 17 the the DET bracis-19055 100 18 links link NOUN bracis-19055 100 19 between between ADP bracis-19055 100 20 them they PRON bracis-19055 100 21 being be AUX bracis-19055 100 22 generated generate VERB bracis-19055 100 23 according accord VERB bracis-19055 100 24 to to ADP bracis-19055 100 25 whether whether SCONJ bracis-19055 100 26 they they PRON bracis-19055 100 27 ever ever ADV bracis-19055 100 28 appeared appear VERB bracis-19055 100 29 consecutively consecutively ADV bracis-19055 100 30 in in ADP bracis-19055 100 31 the the DET bracis-19055 100 32 original original ADJ bracis-19055 100 33 time time NOUN bracis-19055 100 34 series series NOUN bracis-19055 100 35 , , PUNCT bracis-19055 100 36 pairwise pairwise PROPN bracis-19055 100 37 . . PUNCT bracis-19055 101 1 please please INTJ bracis-19055 101 2 note note VERB bracis-19055 101 3 that that SCONJ bracis-19055 101 4 , , PUNCT bracis-19055 101 5 according accord VERB bracis-19055 101 6 to to ADP bracis-19055 101 7 this this DET bracis-19055 101 8 rule rule NOUN bracis-19055 101 9 , , PUNCT bracis-19055 101 10 the the DET bracis-19055 101 11 node node NOUN bracis-19055 101 12 4 4 NUM bracis-19055 101 13 is be AUX bracis-19055 101 14 the the DET bracis-19055 101 15 one one NOUN bracis-19055 101 16 with with ADP bracis-19055 101 17 highest high ADJ bracis-19055 101 18 degree degree NOUN bracis-19055 101 19 in in ADP bracis-19055 101 20 the the DET bracis-19055 101 21 network network NOUN bracis-19055 101 22 . . PUNCT bracis-19055 102 1 fig fig NOUN bracis-19055 102 2 . . PUNCT bracis-19055 103 1 3 3 X bracis-19055 103 2 . . NOUN bracis-19055 103 3 example example NOUN bracis-19055 103 4 demonstrating demonstrate VERB bracis-19055 103 5 how how SCONJ bracis-19055 103 6 the the DET bracis-19055 103 7 variation variation NOUN bracis-19055 103 8 ranges range VERB bracis-19055 103 9 in in ADP bracis-19055 103 10 the the DET bracis-19055 103 11 original original ADJ bracis-19055 103 12 dataset dataset NOUN bracis-19055 103 13 x x PUNCT bracis-19055 103 14 are be AUX bracis-19055 103 15 defined define VERB bracis-19055 103 16 and and CCONJ bracis-19055 103 17 then then ADV bracis-19055 103 18 mapped map VERB bracis-19055 103 19 as as ADP bracis-19055 103 20 nodes node NOUN bracis-19055 103 21 in in ADP bracis-19055 103 22 the the DET bracis-19055 103 23 network network NOUN bracis-19055 103 24 \(\mathcal \(\mathcal ADJ bracis-19055 103 25 { { PUNCT bracis-19055 103 26 g}\ g}\ NOUN bracis-19055 103 27 ) ) PUNCT bracis-19055 103 28 , , PUNCT bracis-19055 103 29 in in ADP bracis-19055 103 30 the the DET bracis-19055 103 31 network network NOUN bracis-19055 103 32 - - PUNCT bracis-19055 103 33 based base VERB bracis-19055 103 34 approach approach NOUN bracis-19055 103 35 . . PUNCT bracis-19055 104 1 for for ADP bracis-19055 104 2 the the DET bracis-19055 104 3 sake sake NOUN bracis-19055 104 4 of of ADP bracis-19055 104 5 simplification simplification NOUN bracis-19055 104 6 , , PUNCT bracis-19055 104 7 there there PRON bracis-19055 104 8 are be VERB bracis-19055 104 9 only only ADV bracis-19055 104 10 12 12 NUM bracis-19055 104 11 weekly weekly ADJ bracis-19055 104 12 observations observation NOUN bracis-19055 104 13 in in ADP bracis-19055 104 14 this this DET bracis-19055 104 15 time time NOUN bracis-19055 104 16 series series NOUN bracis-19055 104 17 , , PUNCT bracis-19055 104 18 and and CCONJ bracis-19055 104 19 the the DET bracis-19055 104 20 variations variation NOUN bracis-19055 104 21 are be AUX bracis-19055 104 22 calculated calculate VERB bracis-19055 104 23 based base VERB bracis-19055 104 24 on on ADP bracis-19055 104 25 the the DET bracis-19055 104 26 initial initial ADJ bracis-19055 104 27 value value NOUN bracis-19055 104 28 , , PUNCT bracis-19055 104 29 instead instead ADV bracis-19055 104 30 of of ADP bracis-19055 104 31 on on ADP bracis-19055 104 32 a a DET bracis-19055 104 33 sliding slide VERB bracis-19055 104 34 window window NOUN bracis-19055 104 35 . . PUNCT bracis-19055 105 1 ( ( PUNCT bracis-19055 105 2 a a X bracis-19055 105 3 ) ) PUNCT bracis-19055 105 4 after after ADP bracis-19055 105 5 sorting sort VERB bracis-19055 105 6 the the DET bracis-19055 105 7 series series NOUN bracis-19055 105 8 by by ADP bracis-19055 105 9 variation variation NOUN bracis-19055 105 10 values value NOUN bracis-19055 105 11 , , PUNCT bracis-19055 105 12 in in ADP bracis-19055 105 13 ascending ascend VERB bracis-19055 105 14 order order NOUN bracis-19055 105 15 , , PUNCT bracis-19055 105 16 the the DET bracis-19055 105 17 array array NOUN bracis-19055 105 18 is be AUX bracis-19055 105 19 split split VERB bracis-19055 105 20 into into ADP bracis-19055 105 21 6 6 NUM bracis-19055 105 22 equal equal ADJ bracis-19055 105 23 parts part NOUN bracis-19055 105 24 , , PUNCT bracis-19055 105 25 hence hence ADV bracis-19055 105 26 delimiting delimit VERB bracis-19055 105 27 the the DET bracis-19055 105 28 ranges range NOUN bracis-19055 105 29 \(r_0\ \(r_0\ PROPN bracis-19055 105 30 ) ) PUNCT bracis-19055 105 31 to to PART bracis-19055 105 32 \(r_5\ \(r_5\ VERB bracis-19055 105 33 ) ) PUNCT bracis-19055 105 34 . . PUNCT bracis-19055 106 1 ( ( PUNCT bracis-19055 106 2 b b X bracis-19055 106 3 ) ) PUNCT bracis-19055 106 4 each each DET bracis-19055 106 5 range range NOUN bracis-19055 106 6 will will AUX bracis-19055 106 7 become become VERB bracis-19055 106 8 a a DET bracis-19055 106 9 node node NOUN bracis-19055 106 10 in in ADP bracis-19055 106 11 the the DET bracis-19055 106 12 network network NOUN bracis-19055 106 13 \(\mathcal \(\mathcal ADJ bracis-19055 106 14 { { PUNCT bracis-19055 106 15 g}\ g}\ NOUN bracis-19055 106 16 ) ) PUNCT bracis-19055 106 17 , , PUNCT bracis-19055 106 18 and and CCONJ bracis-19055 106 19 two two NUM bracis-19055 106 20 nodes node NOUN bracis-19055 106 21 will will AUX bracis-19055 106 22 be be AUX bracis-19055 106 23 connected connect VERB bracis-19055 106 24 only only ADV bracis-19055 106 25 if if SCONJ bracis-19055 106 26 they they PRON bracis-19055 106 27 ever ever ADV bracis-19055 106 28 appeared appear VERB bracis-19055 106 29 consecutively consecutively ADV bracis-19055 106 30 in in ADP bracis-19055 106 31 the the DET bracis-19055 106 32 original original ADJ bracis-19055 106 33 time time NOUN bracis-19055 106 34 series series NOUN bracis-19055 106 35 , , PUNCT bracis-19055 106 36 chronologically chronologically ADV bracis-19055 106 37 . . PUNCT bracis-19055 107 1 full full ADJ bracis-19055 107 2 size size NOUN bracis-19055 107 3 image image NOUN bracis-19055 107 4 the the DET bracis-19055 107 5 resulting result VERB bracis-19055 107 6 network network NOUN bracis-19055 107 7 \(\mathcal \(\mathcal ADJ bracis-19055 107 8 { { PUNCT bracis-19055 107 9 g}\ g}\ NOUN bracis-19055 107 10 ) ) PUNCT bracis-19055 107 11 can can AUX bracis-19055 107 12 be be AUX bracis-19055 107 13 used use VERB bracis-19055 107 14 to to PART bracis-19055 107 15 identify identify VERB bracis-19055 107 16 anomalies anomaly NOUN bracis-19055 107 17 and and CCONJ bracis-19055 107 18 spending spend VERB bracis-19055 107 19 oscillation oscillation NOUN bracis-19055 107 20 patterns pattern NOUN bracis-19055 107 21 in in ADP bracis-19055 107 22 the the DET bracis-19055 107 23 cpgf cpgf NOUN bracis-19055 107 24 time time NOUN bracis-19055 107 25 series series PROPN bracis-19055 107 26 , , PUNCT bracis-19055 107 27 based base VERB bracis-19055 107 28 on on ADP bracis-19055 107 29 the the DET bracis-19055 107 30 topological topological ADJ bracis-19055 107 31 structure structure NOUN bracis-19055 107 32 of of ADP bracis-19055 107 33 the the DET bracis-19055 107 34 data datum NOUN bracis-19055 107 35 . . PUNCT bracis-19055 108 1 given give VERB bracis-19055 108 2 that that SCONJ bracis-19055 108 3 two two NUM bracis-19055 108 4 vertices vertex NOUN bracis-19055 108 5 in in ADP bracis-19055 108 6 the the DET bracis-19055 108 7 network network NOUN bracis-19055 108 8 \(\mathcal \(\mathcal ADJ bracis-19055 108 9 { { PUNCT bracis-19055 108 10 g}\ g}\ NOUN bracis-19055 108 11 ) ) PUNCT bracis-19055 108 12 will will AUX bracis-19055 108 13 be be AUX bracis-19055 108 14 connected connect VERB bracis-19055 108 15 by by ADP bracis-19055 108 16 a a DET bracis-19055 108 17 link link NOUN bracis-19055 108 18 only only ADV bracis-19055 108 19 if if SCONJ bracis-19055 108 20 they they PRON bracis-19055 108 21 are be AUX bracis-19055 108 22 immediately immediately ADV bracis-19055 108 23 next next ADV bracis-19055 108 24 to to ADP bracis-19055 108 25 each each DET bracis-19055 108 26 other other ADJ bracis-19055 108 27 , , PUNCT bracis-19055 108 28 chronologically chronologically ADV bracis-19055 108 29 , , PUNCT bracis-19055 108 30 at at ADP bracis-19055 108 31 any any DET bracis-19055 108 32 point point NOUN bracis-19055 108 33 in in ADP bracis-19055 108 34 the the DET bracis-19055 108 35 weekly weekly ADJ bracis-19055 108 36 time time NOUN bracis-19055 108 37 series series NOUN bracis-19055 108 38 , , PUNCT bracis-19055 108 39 then then ADV bracis-19055 108 40 the the DET bracis-19055 108 41 variation variation NOUN bracis-19055 108 42 ranges range VERB bracis-19055 108 43 in in ADP bracis-19055 108 44 \(\mathcal \(\mathcal ADJ bracis-19055 108 45 { { PUNCT bracis-19055 108 46 g}\ g}\ NOUN bracis-19055 108 47 ) ) PUNCT bracis-19055 108 48 will will AUX bracis-19055 108 49 indicate indicate VERB bracis-19055 108 50 how how SCONJ bracis-19055 108 51 distant distant ADJ bracis-19055 108 52 a a DET bracis-19055 108 53 certain certain ADJ bracis-19055 108 54 weekly weekly ADJ bracis-19055 108 55 spending spending NOUN bracis-19055 108 56 value value NOUN bracis-19055 108 57 is be AUX bracis-19055 108 58 from from ADP bracis-19055 108 59 the the DET bracis-19055 108 60 weekly weekly ADJ bracis-19055 108 61 spending spending NOUN bracis-19055 108 62 value value NOUN bracis-19055 108 63 from from ADP bracis-19055 108 64 a a DET bracis-19055 108 65 certain certain ADJ bracis-19055 108 66 number number NOUN bracis-19055 108 67 of of ADP bracis-19055 108 68 weeks week NOUN bracis-19055 108 69 ago ago ADV bracis-19055 108 70 , , PUNCT bracis-19055 108 71 used use VERB bracis-19055 108 72 as as ADP bracis-19055 108 73 sliding slide VERB bracis-19055 108 74 window window NOUN bracis-19055 108 75 , , PUNCT bracis-19055 108 76 and and CCONJ bracis-19055 108 77 the the DET bracis-19055 108 78 network network NOUN bracis-19055 108 79 topological topological ADJ bracis-19055 108 80 structure structure NOUN bracis-19055 108 81 will will AUX bracis-19055 108 82 reflect reflect VERB bracis-19055 108 83 the the DET bracis-19055 108 84 overall overall ADJ bracis-19055 108 85 spending spending NOUN bracis-19055 108 86 oscillation oscillation NOUN bracis-19055 108 87 pattern pattern NOUN bracis-19055 108 88 for for ADP bracis-19055 108 89 the the DET bracis-19055 108 90 cpgf cpgf NOUN bracis-19055 108 91 data datum NOUN bracis-19055 108 92 , , PUNCT bracis-19055 108 93 with with SCONJ bracis-19055 108 94 subsequent subsequent ADJ bracis-19055 108 95 and and CCONJ bracis-19055 108 96 similar similar ADJ bracis-19055 108 97 variation variation NOUN bracis-19055 108 98 ranges range VERB bracis-19055 108 99 tending tend VERB bracis-19055 108 100 to to PART bracis-19055 108 101 be be AUX bracis-19055 108 102 connected connect VERB bracis-19055 108 103 and and CCONJ bracis-19055 108 104 closer close ADJ bracis-19055 108 105 to to ADP bracis-19055 108 106 each each DET bracis-19055 108 107 other other ADJ bracis-19055 108 108 . . PUNCT bracis-19055 109 1 in in ADP bracis-19055 109 2 this this DET bracis-19055 109 3 way way NOUN bracis-19055 109 4 , , PUNCT bracis-19055 109 5 most most ADJ bracis-19055 109 6 weekly weekly ADJ bracis-19055 109 7 variation variation NOUN bracis-19055 109 8 values value NOUN bracis-19055 109 9 in in ADP bracis-19055 109 10 x x X bracis-19055 109 11 will will AUX bracis-19055 109 12 be be AUX bracis-19055 109 13 less less ADV bracis-19055 109 14 or or CCONJ bracis-19055 109 15 equal equal ADJ bracis-19055 109 16 the the DET bracis-19055 109 17 highest high ADJ bracis-19055 109 18 range range NOUN bracis-19055 109 19 returned return VERB bracis-19055 109 20 by by ADP bracis-19055 109 21 the the DET bracis-19055 109 22 nodes node NOUN bracis-19055 109 23 in in ADP bracis-19055 109 24 \(\mathcal \(\mathcal ADJ bracis-19055 109 25 { { PUNCT bracis-19055 109 26 g}\ g}\ NOUN bracis-19055 109 27 ) ) PUNCT bracis-19055 109 28 . . PUNCT bracis-19055 110 1 when when SCONJ bracis-19055 110 2 there there PRON bracis-19055 110 3 is be VERB bracis-19055 110 4 an an DET bracis-19055 110 5 exception exception NOUN bracis-19055 110 6 to to ADP bracis-19055 110 7 this this DET bracis-19055 110 8 rule rule NOUN bracis-19055 110 9 , , PUNCT bracis-19055 110 10 i.e. i.e. X bracis-19055 110 11 , , PUNCT bracis-19055 110 12 when when SCONJ bracis-19055 110 13 a a DET bracis-19055 110 14 spending spending NOUN bracis-19055 110 15 data datum NOUN bracis-19055 110 16 instance instance NOUN bracis-19055 110 17 in in ADP bracis-19055 110 18 x x PUNCT bracis-19055 110 19 presents present VERB bracis-19055 110 20 a a DET bracis-19055 110 21 weekly weekly ADJ bracis-19055 110 22 variation variation NOUN bracis-19055 110 23 bigger big ADJ bracis-19055 110 24 than than ADP bracis-19055 110 25 the the DET bracis-19055 110 26 variation variation NOUN bracis-19055 110 27 ranges range NOUN bracis-19055 110 28 represented represent VERB bracis-19055 110 29 in in ADP bracis-19055 110 30 \(\mathcal \(\mathcal ADJ bracis-19055 110 31 { { PUNCT bracis-19055 110 32 v}\ v}\ NUM bracis-19055 110 33 ) ) PUNCT bracis-19055 110 34 , , PUNCT bracis-19055 110 35 then then ADV bracis-19055 110 36 it it PRON bracis-19055 110 37 will will AUX bracis-19055 110 38 be be AUX bracis-19055 110 39 labeled label VERB bracis-19055 110 40 as as ADP bracis-19055 110 41 an an DET bracis-19055 110 42 outlier outlier NOUN bracis-19055 110 43 in in ADP bracis-19055 110 44 the the DET bracis-19055 110 45 results result NOUN bracis-19055 110 46 output output VERB bracis-19055 110 47 . . PUNCT bracis-19055 111 1 this this DET bracis-19055 111 2 procedure procedure NOUN bracis-19055 111 3 is be AUX bracis-19055 111 4 described describe VERB bracis-19055 111 5 in in ADP bracis-19055 111 6 algorithm algorithm PROPN bracis-19055 111 7     SPACE bracis-19055 111 8 2 2 NUM bracis-19055 111 9 . . PUNCT bracis-19055 112 1 it it PRON bracis-19055 112 2 is be AUX bracis-19055 112 3 also also ADV bracis-19055 112 4 worth worth ADJ bracis-19055 112 5 mentioning mention VERB bracis-19055 112 6 that that SCONJ bracis-19055 112 7 , , PUNCT bracis-19055 112 8 since since SCONJ bracis-19055 112 9 the the DET bracis-19055 112 10 variation variation NOUN bracis-19055 112 11 ranges range VERB bracis-19055 112 12 in in ADP bracis-19055 112 13 r r NOUN bracis-19055 112 14 are be AUX bracis-19055 112 15 generated generate VERB bracis-19055 112 16 based base VERB bracis-19055 112 17 on on ADP bracis-19055 112 18 a a DET bracis-19055 112 19 sliding slide VERB bracis-19055 112 20 window window NOUN bracis-19055 112 21 , , PUNCT bracis-19055 112 22 there there PRON bracis-19055 112 23 is be VERB bracis-19055 112 24 the the DET bracis-19055 112 25 possibility possibility NOUN bracis-19055 112 26 of of ADP bracis-19055 112 27 regulating regulate VERB bracis-19055 112 28 the the DET bracis-19055 112 29 model model NOUN bracis-19055 112 30 ’s ’s PART bracis-19055 112 31 sensitivity sensitivity NOUN bracis-19055 112 32 when when SCONJ bracis-19055 112 33 detecting detect VERB bracis-19055 112 34 sudden sudden ADJ bracis-19055 112 35 or or CCONJ bracis-19055 112 36 progressive progressive ADJ bracis-19055 112 37 spending spending NOUN bracis-19055 112 38 increases increase NOUN bracis-19055 112 39 , , PUNCT bracis-19055 112 40 with with ADP bracis-19055 112 41 smaller small ADJ bracis-19055 112 42 window window NOUN bracis-19055 112 43 values value NOUN bracis-19055 112 44 resulting result VERB bracis-19055 112 45 in in ADP bracis-19055 112 46 a a DET bracis-19055 112 47 higher high ADJ bracis-19055 112 48 sensitivity sensitivity NOUN bracis-19055 112 49 to to PART bracis-19055 112 50 detect detect VERB bracis-19055 112 51 possible possible ADJ bracis-19055 112 52 anomalies anomaly NOUN bracis-19055 112 53 over over ADP bracis-19055 112 54 time time NOUN bracis-19055 112 55 . . PUNCT bracis-19055 113 1 another another DET bracis-19055 113 2 useful useful ADJ bracis-19055 113 3 feature feature NOUN bracis-19055 113 4 of of ADP bracis-19055 113 5 the the DET bracis-19055 113 6 proposed propose VERB bracis-19055 113 7 approach approach NOUN bracis-19055 113 8 is be AUX bracis-19055 113 9 in in ADP bracis-19055 113 10 the the DET bracis-19055 113 11 fact fact NOUN bracis-19055 113 12 that that SCONJ bracis-19055 113 13 the the DET bracis-19055 113 14 communities community NOUN bracis-19055 113 15 detected detect VERB bracis-19055 113 16 in in ADP bracis-19055 113 17 the the DET bracis-19055 113 18 resulting result VERB bracis-19055 113 19 network network NOUN bracis-19055 113 20 \(\mathcal \(\mathcal ADJ bracis-19055 113 21 { { PUNCT bracis-19055 113 22 g}\ g}\ NOUN bracis-19055 113 23 ) ) PUNCT bracis-19055 113 24 can can AUX bracis-19055 113 25 be be AUX bracis-19055 113 26 used use VERB bracis-19055 113 27 as as ADP bracis-19055 113 28 some some DET bracis-19055 113 29 sort sort NOUN bracis-19055 113 30 of of ADP bracis-19055 113 31 spending spend VERB bracis-19055 113 32 variation variation NOUN bracis-19055 113 33 “ " PUNCT bracis-19055 113 34 thermometer thermometer NOUN bracis-19055 113 35 ” " PUNCT bracis-19055 113 36 , , PUNCT bracis-19055 113 37 so so ADV bracis-19055 113 38 to to PART bracis-19055 113 39 speak speak VERB bracis-19055 113 40 , , PUNCT bracis-19055 113 41 such such ADJ bracis-19055 113 42 that that SCONJ bracis-19055 113 43 by by ADP bracis-19055 113 44 looking look VERB bracis-19055 113 45 at at ADP bracis-19055 113 46 which which DET bracis-19055 113 47 community community NOUN bracis-19055 113 48 a a DET bracis-19055 113 49 certain certain ADJ bracis-19055 113 50 spending spending NOUN bracis-19055 113 51 value value NOUN bracis-19055 113 52 belongs belong VERB bracis-19055 113 53 to to ADP bracis-19055 113 54 , , PUNCT bracis-19055 113 55 then then ADV bracis-19055 113 56 one one PRON bracis-19055 113 57 can can AUX bracis-19055 113 58 use use VERB bracis-19055 113 59 it it PRON bracis-19055 113 60 as as ADP bracis-19055 113 61 an an DET bracis-19055 113 62 indicator indicator NOUN bracis-19055 113 63 of of ADP bracis-19055 113 64 how how SCONJ bracis-19055 113 65 far far ADV bracis-19055 113 66 its its PRON bracis-19055 113 67 variation variation NOUN bracis-19055 113 68 is be AUX bracis-19055 113 69 from from ADP bracis-19055 113 70 the the DET bracis-19055 113 71 spending spending NOUN bracis-19055 113 72 average average NOUN bracis-19055 113 73 from from ADP bracis-19055 113 74 a a DET bracis-19055 113 75 certain certain ADJ bracis-19055 113 76 number number NOUN bracis-19055 113 77 of of ADP bracis-19055 113 78 weeks week NOUN bracis-19055 113 79 ago ago ADV bracis-19055 113 80 , , PUNCT bracis-19055 113 81 used use VERB bracis-19055 113 82 as as ADP bracis-19055 113 83 sliding slide VERB bracis-19055 113 84 window window NOUN bracis-19055 113 85 . . PUNCT bracis-19055 114 1 2.4 2.4 NUM bracis-19055 114 2 hybrid hybrid NOUN bracis-19055 114 3 approach approach NOUN bracis-19055 114 4 we we PRON bracis-19055 114 5 also also ADV bracis-19055 114 6 test test VERB bracis-19055 114 7 a a DET bracis-19055 114 8 hybrid hybrid ADJ bracis-19055 114 9 model model NOUN bracis-19055 114 10 in in ADP bracis-19055 114 11 the the DET bracis-19055 114 12 anomaly anomaly NOUN bracis-19055 114 13 detection detection NOUN bracis-19055 114 14 task task NOUN bracis-19055 114 15 on on ADP bracis-19055 114 16 cpgf cpgf NOUN bracis-19055 114 17 data datum NOUN bracis-19055 114 18 , , PUNCT bracis-19055 114 19 consisting consist VERB bracis-19055 114 20 of of ADP bracis-19055 114 21 taking take VERB bracis-19055 114 22 the the DET bracis-19055 114 23 weekly weekly ADJ bracis-19055 114 24 averaged average VERB bracis-19055 114 25 values value NOUN bracis-19055 114 26 and and CCONJ bracis-19055 114 27 variation variation NOUN bracis-19055 114 28 ranges range NOUN bracis-19055 114 29 generated generate VERB bracis-19055 114 30 by by ADP bracis-19055 114 31 the the DET bracis-19055 114 32 network network NOUN bracis-19055 114 33 - - PUNCT bracis-19055 114 34 based base VERB bracis-19055 114 35 approach approach NOUN bracis-19055 114 36 , , PUNCT bracis-19055 114 37 pairwise pairwise NOUN bracis-19055 114 38 , , PUNCT bracis-19055 114 39 and and CCONJ bracis-19055 114 40 grouping group VERB bracis-19055 114 41 them they PRON bracis-19055 114 42 using use VERB bracis-19055 114 43 the the DET bracis-19055 114 44 k k ADJ bracis-19055 114 45 - - PUNCT bracis-19055 114 46 means means NOUN bracis-19055 114 47 algorithm algorithm NOUN bracis-19055 114 48 . . PUNCT bracis-19055 115 1 for for ADP bracis-19055 115 2 this this DET bracis-19055 115 3 end end NOUN bracis-19055 115 4 , , PUNCT bracis-19055 115 5 as as ADP bracis-19055 115 6 preprocessing preprocesse VERB bracis-19055 115 7 , , PUNCT bracis-19055 115 8 all all DET bracis-19055 115 9 variation variation NOUN bracis-19055 115 10 values value NOUN bracis-19055 115 11 are be AUX bracis-19055 115 12 converted convert VERB bracis-19055 115 13 to to ADP bracis-19055 115 14 the the DET bracis-19055 115 15 logarithmic logarithmic ADJ bracis-19055 115 16 scale scale NOUN bracis-19055 115 17 . . PUNCT bracis-19055 116 1 in in ADP bracis-19055 116 2 this this DET bracis-19055 116 3 approach approach NOUN bracis-19055 116 4 , , PUNCT bracis-19055 116 5 the the DET bracis-19055 116 6 best good ADJ bracis-19055 116 7 number number NOUN bracis-19055 116 8 of of ADP bracis-19055 116 9 clusters cluster NOUN bracis-19055 116 10 k k PROPN bracis-19055 116 11 is be AUX bracis-19055 116 12 achieved achieve VERB bracis-19055 116 13 using use VERB bracis-19055 116 14 the the DET bracis-19055 116 15 elbow elbow NOUN bracis-19055 116 16 method method NOUN bracis-19055 116 17 [ [ X bracis-19055 116 18 4 4 NUM bracis-19055 116 19 ] ] PUNCT bracis-19055 116 20 as as ADV bracis-19055 116 21 well well ADV bracis-19055 116 22 , , PUNCT bracis-19055 116 23 being be AUX bracis-19055 116 24 defined define VERB bracis-19055 116 25 as as ADP bracis-19055 116 26 \(k=4\ \(k=4\ NOUN bracis-19055 116 27 ) ) PUNCT bracis-19055 116 28 . . PUNCT bracis-19055 117 1 to to PART bracis-19055 117 2 reduce reduce VERB bracis-19055 117 3 the the DET bracis-19055 117 4 sensibility sensibility NOUN bracis-19055 117 5 to to ADP bracis-19055 117 6 the the DET bracis-19055 117 7 centroids centroid NOUN bracis-19055 117 8 starting start VERB bracis-19055 117 9 condition condition NOUN bracis-19055 117 10 , , PUNCT bracis-19055 117 11 the the DET bracis-19055 117 12 k k NOUN bracis-19055 117 13 - - PUNCT bracis-19055 117 14 means mean VERB bracis-19055 117 15 \(^{++}\ \(^{++}\ NOUN bracis-19055 117 16 ) ) PUNCT bracis-19055 117 17 method method NOUN bracis-19055 117 18 is be AUX bracis-19055 117 19 also also ADV bracis-19055 117 20 used use VERB bracis-19055 117 21 to to PART bracis-19055 117 22 adjust adjust VERB bracis-19055 117 23 the the DET bracis-19055 117 24 initialization initialization NOUN bracis-19055 117 25 parameter parameter NOUN bracis-19055 117 26 . . PUNCT bracis-19055 118 1 3 3 NUM bracis-19055 118 2 experimental experimental ADJ bracis-19055 118 3 results result NOUN bracis-19055 118 4 in in ADP bracis-19055 118 5 this this DET bracis-19055 118 6 section section NOUN bracis-19055 118 7 , , PUNCT bracis-19055 118 8 we we PRON bracis-19055 118 9 present present VERB bracis-19055 118 10 the the DET bracis-19055 118 11 results result NOUN bracis-19055 118 12 obtained obtain VERB bracis-19055 118 13 when when SCONJ bracis-19055 118 14 applying apply VERB bracis-19055 118 15 the the DET bracis-19055 118 16 four four NUM bracis-19055 118 17 techniques technique NOUN bracis-19055 118 18 to to PART bracis-19055 118 19 detect detect VERB bracis-19055 118 20 anomalies anomaly NOUN bracis-19055 118 21 in in ADP bracis-19055 118 22 the the DET bracis-19055 118 23 cpgf cpgf NOUN bracis-19055 118 24 data datum NOUN bracis-19055 118 25 . . PUNCT bracis-19055 119 1 we we PRON bracis-19055 119 2 start start VERB bracis-19055 119 3 by by ADP bracis-19055 119 4 showing show VERB bracis-19055 119 5 the the DET bracis-19055 119 6 results result NOUN bracis-19055 119 7 obtained obtain VERB bracis-19055 119 8 from from ADP bracis-19055 119 9 the the DET bracis-19055 119 10 k k NOUN bracis-19055 119 11 - - PUNCT bracis-19055 119 12 means mean NOUN bracis-19055 119 13 and and CCONJ bracis-19055 119 14 agglomerative agglomerative ADJ bracis-19055 119 15 clustering clustering ADJ bracis-19055 119 16 techniques technique NOUN bracis-19055 119 17 , , PUNCT bracis-19055 119 18 in in ADP bracis-19055 119 19 fig fig NOUN bracis-19055 119 20 . . PUNCT bracis-19055 119 21     SPACE bracis-19055 120 1 4 4 NUM bracis-19055 120 2 . . PUNCT bracis-19055 120 3 in in ADP bracis-19055 120 4 both both PRON bracis-19055 120 5 of of ADP bracis-19055 120 6 these these DET bracis-19055 120 7 methods method NOUN bracis-19055 120 8 , , PUNCT bracis-19055 120 9 the the DET bracis-19055 120 10 identification identification NOUN bracis-19055 120 11 of of ADP bracis-19055 120 12 points point NOUN bracis-19055 120 13 of of ADP bracis-19055 120 14 attention attention NOUN bracis-19055 120 15 as as ADP bracis-19055 120 16 possible possible ADJ bracis-19055 120 17 anomalies anomaly NOUN bracis-19055 120 18 in in ADP bracis-19055 120 19 the the DET bracis-19055 120 20 use use NOUN bracis-19055 120 21 of of ADP bracis-19055 120 22 cpgf cpgf NOUN bracis-19055 120 23 had have AUX bracis-19055 120 24 been be AUX bracis-19055 120 25 pointed point VERB bracis-19055 120 26 out out ADP bracis-19055 120 27 by by ADP bracis-19055 120 28 specialists specialist NOUN bracis-19055 120 29 from from ADP bracis-19055 120 30 the the DET bracis-19055 120 31 business business NOUN bracis-19055 120 32 area area NOUN bracis-19055 120 33 , , PUNCT bracis-19055 120 34 who who PRON bracis-19055 120 35 are be AUX bracis-19055 120 36 familiar familiar ADJ bracis-19055 120 37 with with ADP bracis-19055 120 38 the the DET bracis-19055 120 39 purchasing purchasing NOUN bracis-19055 120 40 process process NOUN bracis-19055 120 41 in in ADP bracis-19055 120 42 this this DET bracis-19055 120 43 modality modality NOUN bracis-19055 120 44 , , PUNCT bracis-19055 120 45 through through ADP bracis-19055 120 46 the the DET bracis-19055 120 47 analysis analysis NOUN bracis-19055 120 48 of of ADP bracis-19055 120 49 the the DET bracis-19055 120 50 generated generate VERB bracis-19055 120 51 plots plot NOUN bracis-19055 120 52 . . PUNCT bracis-19055 121 1 in in ADP bracis-19055 121 2 this this DET bracis-19055 121 3 manner manner NOUN bracis-19055 121 4 , , PUNCT bracis-19055 121 5 the the DET bracis-19055 121 6 points point NOUN bracis-19055 121 7 identified identify VERB bracis-19055 121 8 in in ADP bracis-19055 121 9 red red NOUN bracis-19055 121 10 are be AUX bracis-19055 121 11 those those PRON bracis-19055 121 12 that that PRON bracis-19055 121 13 can can AUX bracis-19055 121 14 be be AUX bracis-19055 121 15 further far ADV bracis-19055 121 16 investigated investigate VERB bracis-19055 121 17 as as ADP bracis-19055 121 18 possible possible ADJ bracis-19055 121 19 cases case NOUN bracis-19055 121 20 of of ADP bracis-19055 121 21 cpgf cpgf NOUN bracis-19055 121 22 misuse misuse NOUN bracis-19055 121 23 . . PUNCT bracis-19055 122 1 as as SCONJ bracis-19055 122 2 one one PRON bracis-19055 122 3 can can AUX bracis-19055 122 4 observe observe VERB bracis-19055 122 5 , , PUNCT bracis-19055 122 6 the the DET bracis-19055 122 7 clusters cluster NOUN bracis-19055 122 8 and and CCONJ bracis-19055 122 9 anomalies anomaly NOUN bracis-19055 122 10 returned return VERB bracis-19055 122 11 by by ADP bracis-19055 122 12 the the DET bracis-19055 122 13 two two NUM bracis-19055 122 14 grouping group VERB bracis-19055 122 15 approaches approach NOUN bracis-19055 122 16 for for ADP bracis-19055 122 17 the the DET bracis-19055 122 18 considered consider VERB bracis-19055 122 19 period period NOUN bracis-19055 122 20 are be AUX bracis-19055 122 21 very very ADV bracis-19055 122 22 alike alike ADV bracis-19055 122 23 , , PUNCT bracis-19055 122 24 with with ADP bracis-19055 122 25 the the DET bracis-19055 122 26 main main ADJ bracis-19055 122 27 difference difference NOUN bracis-19055 122 28 between between ADP bracis-19055 122 29 them they PRON bracis-19055 122 30 being be AUX bracis-19055 122 31 in in ADP bracis-19055 122 32 the the DET bracis-19055 122 33 number number NOUN bracis-19055 122 34 of of ADP bracis-19055 122 35 clusters cluster NOUN bracis-19055 122 36 generated generate VERB bracis-19055 122 37 . . PUNCT bracis-19055 123 1 from from ADP bracis-19055 123 2 the the DET bracis-19055 123 3 results result NOUN bracis-19055 123 4 obtained obtain VERB bracis-19055 123 5 by by ADP bracis-19055 123 6 both both DET bracis-19055 123 7 k k NOUN bracis-19055 123 8 - - PUNCT bracis-19055 123 9 means mean NOUN bracis-19055 123 10 and and CCONJ bracis-19055 123 11 agglomerative agglomerative ADJ bracis-19055 123 12 clustering clustering ADJ bracis-19055 123 13 techniques technique NOUN bracis-19055 123 14 , , PUNCT bracis-19055 123 15 the the DET bracis-19055 123 16 specialists specialist NOUN bracis-19055 123 17 from from ADP bracis-19055 123 18 the the DET bracis-19055 123 19 business business NOUN bracis-19055 123 20 area area NOUN bracis-19055 123 21 were be AUX bracis-19055 123 22 able able ADJ bracis-19055 123 23 to to PART bracis-19055 123 24 identify identify VERB bracis-19055 123 25 a a DET bracis-19055 123 26 total total NOUN bracis-19055 123 27 of of ADP bracis-19055 123 28 10 10 NUM bracis-19055 123 29 transactions transaction NOUN bracis-19055 123 30 as as ADP bracis-19055 123 31 possible possible ADJ bracis-19055 123 32 cases case NOUN bracis-19055 123 33 of of ADP bracis-19055 123 34 cpgf cpgf NOUN bracis-19055 123 35 misuse misuse NOUN bracis-19055 123 36 for for ADP bracis-19055 123 37 the the DET bracis-19055 123 38 army army NOUN bracis-19055 123 39 command command NOUN bracis-19055 123 40 , , PUNCT bracis-19055 123 41 with with ADP bracis-19055 123 42 two two NUM bracis-19055 123 43 of of ADP bracis-19055 123 44 them they PRON bracis-19055 123 45 amounting amount VERB bracis-19055 123 46 to to ADP bracis-19055 123 47 around around ADP bracis-19055 123 48 r$ r$ ADP bracis-19055 123 49 30,000 30,000 NUM bracis-19055 123 50 each each PRON bracis-19055 123 51 . . PUNCT bracis-19055 124 1 as as ADP bracis-19055 124 2 for for ADP bracis-19055 124 3 the the DET bracis-19055 124 4 results result NOUN bracis-19055 124 5 obtained obtain VERB bracis-19055 124 6 for for ADP bracis-19055 124 7 the the DET bracis-19055 124 8 ministry ministry PROPN bracis-19055 124 9 of of ADP bracis-19055 124 10 agriculture agriculture PROPN bracis-19055 124 11 , , PUNCT bracis-19055 124 12 the the DET bracis-19055 124 13 specialists specialist NOUN bracis-19055 124 14 were be AUX bracis-19055 124 15 able able ADJ bracis-19055 124 16 to to PART bracis-19055 124 17 identify identify VERB bracis-19055 124 18 5 5 NUM bracis-19055 124 19 transactions transaction NOUN bracis-19055 124 20 as as SCONJ bracis-19055 124 21 suspected suspect VERB bracis-19055 124 22 , , PUNCT bracis-19055 124 23 with with ADP bracis-19055 124 24 values value NOUN bracis-19055 124 25 around around ADP bracis-19055 124 26 r$ r$ ADP bracis-19055 124 27 2,000 2,000 NUM bracis-19055 124 28 each each PRON bracis-19055 124 29 . . PUNCT bracis-19055 125 1 it it PRON bracis-19055 125 2 is be AUX bracis-19055 125 3 also also ADV bracis-19055 125 4 worth worth ADJ bracis-19055 125 5 noting note VERB bracis-19055 125 6 that that SCONJ bracis-19055 125 7 the the DET bracis-19055 125 8 clusters cluster NOUN bracis-19055 125 9 generated generate VERB bracis-19055 125 10 by by ADP bracis-19055 125 11 these these DET bracis-19055 125 12 techniques technique NOUN bracis-19055 125 13 were be AUX bracis-19055 125 14 more more ADV bracis-19055 125 15 influenced influence VERB bracis-19055 125 16 by by ADP bracis-19055 125 17 the the DET bracis-19055 125 18 transaction transaction NOUN bracis-19055 125 19 values value NOUN bracis-19055 125 20 than than ADP bracis-19055 125 21 by by ADP bracis-19055 125 22 the the DET bracis-19055 125 23 type type NOUN bracis-19055 125 24 of of ADP bracis-19055 125 25 expenditure expenditure NOUN bracis-19055 125 26 , , PUNCT bracis-19055 125 27 as as SCONJ bracis-19055 125 28 can can AUX bracis-19055 125 29 be be AUX bracis-19055 125 30 observed observe VERB bracis-19055 125 31 by by ADP bracis-19055 125 32 their their PRON bracis-19055 125 33 flat flat ADJ bracis-19055 125 34 shape shape NOUN bracis-19055 125 35 in in ADP bracis-19055 125 36 fig fig NOUN bracis-19055 125 37 . . PUNCT bracis-19055 125 38     SPACE bracis-19055 126 1 4 4 NUM bracis-19055 126 2 . . PUNCT bracis-19055 127 1 with with ADP bracis-19055 127 2 regard regard NOUN bracis-19055 127 3 to to ADP bracis-19055 127 4 the the DET bracis-19055 127 5 network network NOUN bracis-19055 127 6 - - PUNCT bracis-19055 127 7 based base VERB bracis-19055 127 8 approach approach NOUN bracis-19055 127 9 , , PUNCT bracis-19055 127 10 we we PRON bracis-19055 127 11 present present VERB bracis-19055 127 12 , , PUNCT bracis-19055 127 13 in in ADP bracis-19055 127 14 fig fig NOUN bracis-19055 127 15 . . PUNCT bracis-19055 127 16     SPACE bracis-19055 128 1 5 5 NUM bracis-19055 128 2 , , PUNCT bracis-19055 128 3 the the DET bracis-19055 128 4 variations variation NOUN bracis-19055 128 5 range range NOUN bracis-19055 128 6 networks network NOUN bracis-19055 128 7 resulting result VERB bracis-19055 128 8 from from ADP bracis-19055 128 9 the the DET bracis-19055 128 10 application application NOUN bracis-19055 128 11 of of ADP bracis-19055 128 12 this this DET bracis-19055 128 13 method method NOUN bracis-19055 128 14 on on ADP bracis-19055 128 15 the the DET bracis-19055 128 16 cpgf cpgf NOUN bracis-19055 128 17 time time NOUN bracis-19055 128 18 series series PROPN bracis-19055 128 19 , , PUNCT bracis-19055 128 20 using use VERB bracis-19055 128 21 a a DET bracis-19055 128 22 12 12 NUM bracis-19055 128 23 - - PUNCT bracis-19055 128 24 weeks week NOUN bracis-19055 128 25 sliding slide VERB bracis-19055 128 26 window window NOUN bracis-19055 128 27 , , PUNCT bracis-19055 128 28 i.e. i.e. X bracis-19055 128 29 , , PUNCT bracis-19055 128 30 around around ADP bracis-19055 128 31 3 3 NUM bracis-19055 128 32 months month NOUN bracis-19055 128 33 of of ADP bracis-19055 128 34 card card NOUN bracis-19055 128 35 transactions transaction NOUN bracis-19055 128 36 . . PUNCT bracis-19055 129 1 each each DET bracis-19055 129 2 node node NOUN bracis-19055 129 3 in in ADP bracis-19055 129 4 these these DET bracis-19055 129 5 networks network NOUN bracis-19055 129 6 corresponds correspond VERB bracis-19055 129 7 to to ADP bracis-19055 129 8 one one NUM bracis-19055 129 9 variation variation NOUN bracis-19055 129 10 range range NOUN bracis-19055 129 11 in in ADP bracis-19055 129 12 the the DET bracis-19055 129 13 time time NOUN bracis-19055 129 14 series series NOUN bracis-19055 129 15 . . PUNCT bracis-19055 130 1 for for ADP bracis-19055 130 2 detecting detect VERB bracis-19055 130 3 communities community NOUN bracis-19055 130 4 in in ADP bracis-19055 130 5 the the DET bracis-19055 130 6 network network NOUN bracis-19055 130 7 , , PUNCT bracis-19055 130 8 we we PRON bracis-19055 130 9 use use VERB bracis-19055 130 10 the the DET bracis-19055 130 11 fast fast ADJ bracis-19055 130 12 greedy greedy ADJ bracis-19055 130 13 algorithm algorithm NOUN bracis-19055 130 14 [ [ X bracis-19055 130 15 9 9 NUM bracis-19055 130 16 ] ] PUNCT bracis-19055 130 17 . . PUNCT bracis-19055 131 1 both both DET bracis-19055 131 2 networks network NOUN bracis-19055 131 3 , , PUNCT bracis-19055 131 4 in in ADP bracis-19055 131 5 this this DET bracis-19055 131 6 case case NOUN bracis-19055 131 7 , , PUNCT bracis-19055 131 8 present present ADJ bracis-19055 131 9 3 3 NUM bracis-19055 131 10 communities community NOUN bracis-19055 131 11 , , PUNCT bracis-19055 131 12 which which PRON bracis-19055 131 13 can can AUX bracis-19055 131 14 be be AUX bracis-19055 131 15 used use VERB bracis-19055 131 16 as as ADP bracis-19055 131 17 some some DET bracis-19055 131 18 sort sort NOUN bracis-19055 131 19 of of ADP bracis-19055 131 20 “ " PUNCT bracis-19055 131 21 thermometer thermometer NOUN bracis-19055 131 22 ” " PUNCT bracis-19055 131 23 to to PART bracis-19055 131 24 indicate indicate VERB bracis-19055 131 25 how how SCONJ bracis-19055 131 26 far far ADV bracis-19055 131 27 a a DET bracis-19055 131 28 certain certain ADJ bracis-19055 131 29 weekly weekly ADJ bracis-19055 131 30 value value NOUN bracis-19055 131 31 is be AUX bracis-19055 131 32 from from ADP bracis-19055 131 33 the the DET bracis-19055 131 34 weekly weekly ADJ bracis-19055 131 35 average average NOUN bracis-19055 131 36 from from ADP bracis-19055 131 37 12 12 NUM bracis-19055 131 38 - - PUNCT bracis-19055 131 39 weeks week NOUN bracis-19055 131 40 ago ago ADV bracis-19055 131 41 . . PUNCT bracis-19055 132 1 in in ADP bracis-19055 132 2 this this DET bracis-19055 132 3 way way NOUN bracis-19055 132 4 , , PUNCT bracis-19055 132 5 for for ADP bracis-19055 132 6 monitoring monitoring NOUN bracis-19055 132 7 purposes purpose NOUN bracis-19055 132 8 , , PUNCT bracis-19055 132 9 values value NOUN bracis-19055 132 10 from from ADP bracis-19055 132 11 communities community NOUN bracis-19055 132 12 with with ADP bracis-19055 132 13 higher high ADJ bracis-19055 132 14 variation variation NOUN bracis-19055 132 15 ranges range NOUN bracis-19055 132 16 would would AUX bracis-19055 132 17 trigger trigger VERB bracis-19055 132 18 more more ADJ bracis-19055 132 19 attention attention NOUN bracis-19055 132 20 than than ADP bracis-19055 132 21 values value NOUN bracis-19055 132 22 from from ADP bracis-19055 132 23 lower low ADJ bracis-19055 132 24 and and CCONJ bracis-19055 132 25 in in ADP bracis-19055 132 26 - - PUNCT bracis-19055 132 27 between between ADP bracis-19055 132 28 communities community NOUN bracis-19055 132 29 . . PUNCT bracis-19055 133 1 fig fig NOUN bracis-19055 133 2 . . PUNCT bracis-19055 134 1 4 4 X bracis-19055 134 2 . . X bracis-19055 134 3 results result NOUN bracis-19055 134 4 obtained obtain VERB bracis-19055 134 5 with with ADP bracis-19055 134 6 the the DET bracis-19055 134 7 k k NOUN bracis-19055 134 8 - - PUNCT bracis-19055 134 9 means mean NOUN bracis-19055 134 10 and and CCONJ bracis-19055 134 11 agglomerative agglomerative ADJ bracis-19055 134 12 clustering clustering ADJ bracis-19055 134 13 techniques technique NOUN bracis-19055 134 14 . . PUNCT bracis-19055 135 1 the the DET bracis-19055 135 2 highlighted highlight VERB bracis-19055 135 3 values value NOUN bracis-19055 135 4 indicate indicate VERB bracis-19055 135 5 possible possible ADJ bracis-19055 135 6 anomalies anomaly NOUN bracis-19055 135 7 in in ADP bracis-19055 135 8 the the DET bracis-19055 135 9 use use NOUN bracis-19055 135 10 of of ADP bracis-19055 135 11 cpgf cpgf NOUN bracis-19055 135 12 , , PUNCT bracis-19055 135 13 identified identify VERB bracis-19055 135 14 by by ADP bracis-19055 135 15 specialists specialist NOUN bracis-19055 135 16 from from ADP bracis-19055 135 17 the the DET bracis-19055 135 18 business business NOUN bracis-19055 135 19 area area NOUN bracis-19055 135 20 . . PUNCT bracis-19055 136 1 full full ADJ bracis-19055 136 2 size size NOUN bracis-19055 136 3 image image NOUN bracis-19055 136 4 in in ADP bracis-19055 136 5 fig fig NOUN bracis-19055 136 6 . . PUNCT bracis-19055 136 7     SPACE bracis-19055 137 1 6 6 NUM bracis-19055 137 2 , , PUNCT bracis-19055 137 3 we we PRON bracis-19055 137 4 present present VERB bracis-19055 137 5 the the DET bracis-19055 137 6 results result NOUN bracis-19055 137 7 obtained obtain VERB bracis-19055 137 8 with with ADP bracis-19055 137 9 the the DET bracis-19055 137 10 network network NOUN bracis-19055 137 11 - - PUNCT bracis-19055 137 12 based base VERB bracis-19055 137 13 approach approach NOUN bracis-19055 137 14 , , PUNCT bracis-19055 137 15 showing show VERB bracis-19055 137 16 the the DET bracis-19055 137 17 cpgf cpgf NOUN bracis-19055 137 18 weekly weekly ADJ bracis-19055 137 19 time time NOUN bracis-19055 137 20 series series NOUN bracis-19055 137 21 , , PUNCT bracis-19055 137 22 for for ADP bracis-19055 137 23 each each DET bracis-19055 137 24 public public ADJ bracis-19055 137 25 agency agency NOUN bracis-19055 137 26 , , PUNCT bracis-19055 137 27 and and CCONJ bracis-19055 137 28 respective respective ADJ bracis-19055 137 29 outliers outlier NOUN bracis-19055 137 30 detected detect VERB bracis-19055 137 31 during during ADP bracis-19055 137 32 the the DET bracis-19055 137 33 considered consider VERB bracis-19055 137 34 period period NOUN bracis-19055 137 35 . . PUNCT bracis-19055 138 1 the the DET bracis-19055 138 2 main main ADJ bracis-19055 138 3 difference difference NOUN bracis-19055 138 4 we we PRON bracis-19055 138 5 note note VERB bracis-19055 138 6 in in ADP bracis-19055 138 7 these these DET bracis-19055 138 8 results result NOUN bracis-19055 138 9 , , PUNCT bracis-19055 138 10 when when SCONJ bracis-19055 138 11 compared compare VERB bracis-19055 138 12 to to ADP bracis-19055 138 13 the the DET bracis-19055 138 14 ones one NOUN bracis-19055 138 15 provided provide VERB bracis-19055 138 16 by by ADP bracis-19055 138 17 the the DET bracis-19055 138 18 k k NOUN bracis-19055 138 19 - - PUNCT bracis-19055 138 20 means mean NOUN bracis-19055 138 21 and and CCONJ bracis-19055 138 22 agglomerative agglomerative ADJ bracis-19055 138 23 clustering clustering ADJ bracis-19055 138 24 methods method NOUN bracis-19055 138 25 , , PUNCT bracis-19055 138 26 is be AUX bracis-19055 138 27 that that SCONJ bracis-19055 138 28 this this DET bracis-19055 138 29 method method NOUN bracis-19055 138 30 was be AUX bracis-19055 138 31 able able ADJ bracis-19055 138 32 to to PART bracis-19055 138 33 point point VERB bracis-19055 138 34 out out ADP bracis-19055 138 35 , , PUNCT bracis-19055 138 36 regardless regardless ADV bracis-19055 138 37 of of ADP bracis-19055 138 38 the the DET bracis-19055 138 39 identification identification NOUN bracis-19055 138 40 from from ADP bracis-19055 138 41 specialists specialist NOUN bracis-19055 138 42 in in ADP bracis-19055 138 43 the the DET bracis-19055 138 44 business business NOUN bracis-19055 138 45 area area NOUN bracis-19055 138 46 , , PUNCT bracis-19055 138 47 values value NOUN bracis-19055 138 48 considered consider VERB bracis-19055 138 49 outliers outlier NOUN bracis-19055 138 50 in in ADP bracis-19055 138 51 the the DET bracis-19055 138 52 time time NOUN bracis-19055 138 53 series series NOUN bracis-19055 138 54 , , PUNCT bracis-19055 138 55 based base VERB bracis-19055 138 56 on on ADP bracis-19055 138 57 the the DET bracis-19055 138 58 chosen choose VERB bracis-19055 138 59 12 12 NUM bracis-19055 138 60 - - PUNCT bracis-19055 138 61 weeks week NOUN bracis-19055 138 62 sliding slide VERB bracis-19055 138 63 window window NOUN bracis-19055 138 64 variation variation NOUN bracis-19055 138 65 . . PUNCT bracis-19055 139 1 this this DET bracis-19055 139 2 feature feature NOUN bracis-19055 139 3 is be AUX bracis-19055 139 4 important important ADJ bracis-19055 139 5 as as SCONJ bracis-19055 139 6 it it PRON bracis-19055 139 7 can can AUX bracis-19055 139 8 contribute contribute VERB bracis-19055 139 9 to to PART bracis-19055 139 10 optimize optimize VERB bracis-19055 139 11 the the DET bracis-19055 139 12 anomalies anomaly NOUN bracis-19055 139 13 - - PUNCT bracis-19055 139 14 identification identification NOUN bracis-19055 139 15 process process NOUN bracis-19055 139 16 in in ADP bracis-19055 139 17 this this DET bracis-19055 139 18 area area NOUN bracis-19055 139 19 , , PUNCT bracis-19055 139 20 thus thus ADV bracis-19055 139 21 allowing allow VERB bracis-19055 139 22 the the DET bracis-19055 139 23 specialists specialist NOUN bracis-19055 139 24 team team NOUN bracis-19055 139 25 to to PART bracis-19055 139 26 have have VERB bracis-19055 139 27 more more ADJ bracis-19055 139 28 focus focus NOUN bracis-19055 139 29 on on ADP bracis-19055 139 30 monitoring monitoring NOUN bracis-19055 139 31 and and CCONJ bracis-19055 139 32 investigation investigation NOUN bracis-19055 139 33 activities activity NOUN bracis-19055 139 34 . . PUNCT bracis-19055 140 1 in in ADP bracis-19055 140 2 fig fig NOUN bracis-19055 140 3 . . PUNCT bracis-19055 140 4     SPACE bracis-19055 140 5 7 7 NUM bracis-19055 140 6 , , PUNCT bracis-19055 140 7 we we PRON bracis-19055 140 8 show show VERB bracis-19055 140 9 the the DET bracis-19055 140 10 weekly weekly ADJ bracis-19055 140 11 variations variation NOUN bracis-19055 140 12 and and CCONJ bracis-19055 140 13 the the DET bracis-19055 140 14 communities community NOUN bracis-19055 140 15 identified identify VERB bracis-19055 140 16 in in ADP bracis-19055 140 17 the the DET bracis-19055 140 18 cpgf cpgf NOUN bracis-19055 140 19 time time NOUN bracis-19055 140 20 series series PROPN bracis-19055 140 21 , , PUNCT bracis-19055 140 22 still still ADV bracis-19055 140 23 according accord VERB bracis-19055 140 24 to to ADP bracis-19055 140 25 the the DET bracis-19055 140 26 chosen choose VERB bracis-19055 140 27 12 12 NUM bracis-19055 140 28 - - PUNCT bracis-19055 140 29 weeks week NOUN bracis-19055 140 30 sliding slide VERB bracis-19055 140 31 window window NOUN bracis-19055 140 32 . . PUNCT bracis-19055 141 1 as as SCONJ bracis-19055 141 2 mentioned mention VERB bracis-19055 141 3 earlier early ADV bracis-19055 141 4 , , PUNCT bracis-19055 141 5 this this DET bracis-19055 141 6 plot plot NOUN bracis-19055 141 7 , , PUNCT bracis-19055 141 8 with with ADP bracis-19055 141 9 the the DET bracis-19055 141 10 identification identification NOUN bracis-19055 141 11 of of ADP bracis-19055 141 12 communities community NOUN bracis-19055 141 13 , , PUNCT bracis-19055 141 14 can can AUX bracis-19055 141 15 be be AUX bracis-19055 141 16 used use VERB bracis-19055 141 17 as as ADP bracis-19055 141 18 an an DET bracis-19055 141 19 alert alert ADJ bracis-19055 141 20 indicator indicator NOUN bracis-19055 141 21 for for ADP bracis-19055 141 22 certain certain ADJ bracis-19055 141 23 values value NOUN bracis-19055 141 24 of of ADP bracis-19055 141 25 the the DET bracis-19055 141 26 time time NOUN bracis-19055 141 27 series series NOUN bracis-19055 141 28 , , PUNCT bracis-19055 141 29 where where SCONJ bracis-19055 141 30 communities community NOUN bracis-19055 141 31 with with ADP bracis-19055 141 32 higher high ADJ bracis-19055 141 33 variation variation NOUN bracis-19055 141 34 ranges range NOUN bracis-19055 141 35 would would AUX bracis-19055 141 36 raise raise VERB bracis-19055 141 37 the the DET bracis-19055 141 38 alert alert ADJ bracis-19055 141 39 level level NOUN bracis-19055 141 40 for for ADP bracis-19055 141 41 possible possible ADJ bracis-19055 141 42 suspect suspect ADJ bracis-19055 141 43 transactions transaction NOUN bracis-19055 141 44 , , PUNCT bracis-19055 141 45 with with ADP bracis-19055 141 46 values value NOUN bracis-19055 141 47 increasingly increasingly ADV bracis-19055 141 48 becoming become VERB bracis-19055 141 49 more more ADV bracis-19055 141 50 distant distant ADJ bracis-19055 141 51 from from ADP bracis-19055 141 52 the the DET bracis-19055 141 53 average average NOUN bracis-19055 141 54 of of ADP bracis-19055 141 55 12 12 NUM bracis-19055 141 56 weeks week NOUN bracis-19055 141 57 ago ago ADV bracis-19055 141 58 . . PUNCT bracis-19055 142 1 hence hence ADV bracis-19055 142 2 , , PUNCT bracis-19055 142 3 this this DET bracis-19055 142 4 type type NOUN bracis-19055 142 5 of of ADP bracis-19055 142 6 representation representation NOUN bracis-19055 142 7 , , PUNCT bracis-19055 142 8 which which PRON bracis-19055 142 9 is be AUX bracis-19055 142 10 also also ADV bracis-19055 142 11 provided provide VERB bracis-19055 142 12 in in ADP bracis-19055 142 13 the the DET bracis-19055 142 14 results result NOUN bracis-19055 142 15 from from ADP bracis-19055 142 16 the the DET bracis-19055 142 17 network network NOUN bracis-19055 142 18 - - PUNCT bracis-19055 142 19 based base VERB bracis-19055 142 20 approach approach NOUN bracis-19055 142 21 , , PUNCT bracis-19055 142 22 can can AUX bracis-19055 142 23 be be AUX bracis-19055 142 24 helpful helpful ADJ bracis-19055 142 25 , , PUNCT bracis-19055 142 26 as as ADP bracis-19055 142 27 an an DET bracis-19055 142 28 additional additional ADJ bracis-19055 142 29 graphical graphical ADJ bracis-19055 142 30 resource resource NOUN bracis-19055 142 31 , , PUNCT bracis-19055 142 32 in in ADP bracis-19055 142 33 the the DET bracis-19055 142 34 activity activity NOUN bracis-19055 142 35 of of ADP bracis-19055 142 36 monitoring monitor VERB bracis-19055 142 37 the the DET bracis-19055 142 38 cpgf cpgf NOUN bracis-19055 142 39 transactions transaction NOUN bracis-19055 142 40 . . PUNCT bracis-19055 143 1 fig fig NOUN bracis-19055 143 2 . . PUNCT bracis-19055 144 1 5 5 X bracis-19055 144 2 . . X bracis-19055 144 3 variation variation NOUN bracis-19055 144 4 ranges range VERB bracis-19055 144 5 networks network NOUN bracis-19055 144 6 resulting result VERB bracis-19055 144 7 from from ADP bracis-19055 144 8 cpgf cpgf NOUN bracis-19055 144 9 data datum NOUN bracis-19055 144 10 of of ADP bracis-19055 144 11 army army NOUN bracis-19055 144 12 command command NOUN bracis-19055 144 13 and and CCONJ bracis-19055 144 14 ministry ministry PROPN bracis-19055 144 15 of of ADP bracis-19055 144 16 agriculture agriculture PROPN bracis-19055 144 17 . . PUNCT bracis-19055 145 1 full full ADJ bracis-19055 145 2 size size NOUN bracis-19055 145 3 image image NOUN bracis-19055 145 4 fig fig NOUN bracis-19055 145 5 . . PUNCT bracis-19055 146 1 6 6 X bracis-19055 146 2 . . X bracis-19055 146 3 results result NOUN bracis-19055 146 4 obtained obtain VERB bracis-19055 146 5 with with ADP bracis-19055 146 6 the the DET bracis-19055 146 7 network network NOUN bracis-19055 146 8 - - PUNCT bracis-19055 146 9 based base VERB bracis-19055 146 10 approach approach NOUN bracis-19055 146 11 , , PUNCT bracis-19055 146 12 using use VERB bracis-19055 146 13 a a DET bracis-19055 146 14 12 12 NUM bracis-19055 146 15 - - PUNCT bracis-19055 146 16 weeks week NOUN bracis-19055 146 17 sliding slide VERB bracis-19055 146 18 window window NOUN bracis-19055 146 19 . . PUNCT bracis-19055 147 1 the the DET bracis-19055 147 2 points point NOUN bracis-19055 147 3 in in ADP bracis-19055 147 4 black black ADJ bracis-19055 147 5 indicate indicate VERB bracis-19055 147 6 possible possible ADJ bracis-19055 147 7 anomalies anomaly NOUN bracis-19055 147 8 in in ADP bracis-19055 147 9 the the DET bracis-19055 147 10 use use NOUN bracis-19055 147 11 of of ADP bracis-19055 147 12 cpgf cpgf NOUN bracis-19055 147 13 returned return VERB bracis-19055 147 14 by by ADP bracis-19055 147 15 the the DET bracis-19055 147 16 model model NOUN bracis-19055 147 17 for for ADP bracis-19055 147 18 the the DET bracis-19055 147 19 considered consider VERB bracis-19055 147 20 period period NOUN bracis-19055 147 21 . . PUNCT bracis-19055 148 1 full full ADJ bracis-19055 148 2 size size NOUN bracis-19055 148 3 image image NOUN bracis-19055 148 4 fig fig NOUN bracis-19055 148 5 . . PUNCT bracis-19055 149 1 7 7 X bracis-19055 149 2 . . X bracis-19055 149 3 weekly weekly ADJ bracis-19055 149 4 variations variation NOUN bracis-19055 149 5 in in ADP bracis-19055 149 6 the the DET bracis-19055 149 7 network network NOUN bracis-19055 149 8 - - PUNCT bracis-19055 149 9 based base VERB bracis-19055 149 10 approach approach NOUN bracis-19055 149 11 . . PUNCT bracis-19055 150 1 the the DET bracis-19055 150 2 colors color NOUN bracis-19055 150 3 denote denote VERB bracis-19055 150 4 the the DET bracis-19055 150 5 communities community NOUN bracis-19055 150 6 , , PUNCT bracis-19055 150 7 that that PRON bracis-19055 150 8 can can AUX bracis-19055 150 9 be be AUX bracis-19055 150 10 used use VERB bracis-19055 150 11 as as ADP bracis-19055 150 12 an an DET bracis-19055 150 13 indicator indicator NOUN bracis-19055 150 14 of of ADP bracis-19055 150 15 how how SCONJ bracis-19055 150 16 much much ADJ bracis-19055 150 17 the the DET bracis-19055 150 18 transaction transaction NOUN bracis-19055 150 19 values value NOUN bracis-19055 150 20 deviate deviate VERB bracis-19055 150 21 from from ADP bracis-19055 150 22 those those PRON bracis-19055 150 23 of of ADP bracis-19055 150 24 a a DET bracis-19055 150 25 certain certain ADJ bracis-19055 150 26 number number NOUN bracis-19055 150 27 of of ADP bracis-19055 150 28 weeks week NOUN bracis-19055 150 29 ago ago ADV bracis-19055 150 30 ( ( PUNCT bracis-19055 150 31 12 12 NUM bracis-19055 150 32 weeks week NOUN bracis-19055 150 33 , , PUNCT bracis-19055 150 34 in in ADP bracis-19055 150 35 this this DET bracis-19055 150 36 case case NOUN bracis-19055 150 37 , , PUNCT bracis-19055 150 38 which which PRON bracis-19055 150 39 is be AUX bracis-19055 150 40 the the DET bracis-19055 150 41 chosen choose VERB bracis-19055 150 42 sliding slide VERB bracis-19055 150 43 window window NOUN bracis-19055 150 44 ) ) PUNCT bracis-19055 150 45 . . PUNCT bracis-19055 151 1 full full ADJ bracis-19055 151 2 size size NOUN bracis-19055 151 3 image image NOUN bracis-19055 151 4 finally finally ADV bracis-19055 151 5 , , PUNCT bracis-19055 151 6 we we PRON bracis-19055 151 7 show show VERB bracis-19055 151 8 , , PUNCT bracis-19055 151 9 in in ADP bracis-19055 151 10 fig fig NOUN bracis-19055 151 11 . . PUNCT bracis-19055 151 12     SPACE bracis-19055 151 13 8 8 NUM bracis-19055 151 14 , , PUNCT bracis-19055 151 15 the the DET bracis-19055 151 16 results result NOUN bracis-19055 151 17 obtained obtain VERB bracis-19055 151 18 with with ADP bracis-19055 151 19 the the DET bracis-19055 151 20 hybrid hybrid NOUN bracis-19055 151 21 approach approach NOUN bracis-19055 151 22 , , PUNCT bracis-19055 151 23 which which PRON bracis-19055 151 24 consists consist VERB bracis-19055 151 25 of of ADP bracis-19055 151 26 taking take VERB bracis-19055 151 27 the the DET bracis-19055 151 28 information information NOUN bracis-19055 151 29 generated generate VERB bracis-19055 151 30 by by ADP bracis-19055 151 31 the the DET bracis-19055 151 32 network network NOUN bracis-19055 151 33 - - PUNCT bracis-19055 151 34 based base VERB bracis-19055 151 35 method method NOUN bracis-19055 151 36 , , PUNCT bracis-19055 151 37 i.e. i.e. X bracis-19055 151 38 , , PUNCT bracis-19055 151 39 the the DET bracis-19055 151 40 weekly weekly NOUN bracis-19055 151 41 averaged average VERB bracis-19055 151 42 values value NOUN bracis-19055 151 43 and and CCONJ bracis-19055 151 44 variation variation NOUN bracis-19055 151 45 ranges range NOUN bracis-19055 151 46 , , PUNCT bracis-19055 151 47 pairwise pairwise NOUN bracis-19055 151 48 , , PUNCT bracis-19055 151 49 and and CCONJ bracis-19055 151 50 grouping group VERB bracis-19055 151 51 them they PRON bracis-19055 151 52 using use VERB bracis-19055 151 53 the the DET bracis-19055 151 54 k k ADJ bracis-19055 151 55 - - PUNCT bracis-19055 151 56 means means NOUN bracis-19055 151 57 algorithm algorithm NOUN bracis-19055 151 58 . . PUNCT bracis-19055 152 1 in in ADP bracis-19055 152 2 this this DET bracis-19055 152 3 technique technique NOUN bracis-19055 152 4 , , PUNCT bracis-19055 152 5 the the DET bracis-19055 152 6 values value NOUN bracis-19055 152 7 highlighted highlight VERB bracis-19055 152 8 can can AUX bracis-19055 152 9 be be AUX bracis-19055 152 10 considered consider VERB bracis-19055 152 11 outliers outlier NOUN bracis-19055 152 12 . . PUNCT bracis-19055 153 1 however however ADV bracis-19055 153 2 , , PUNCT bracis-19055 153 3 in in ADP bracis-19055 153 4 the the DET bracis-19055 153 5 same same ADJ bracis-19055 153 6 manner manner NOUN bracis-19055 153 7 of of ADP bracis-19055 153 8 the the DET bracis-19055 153 9 grouping group VERB bracis-19055 153 10 models model NOUN bracis-19055 153 11 , , PUNCT bracis-19055 153 12 this this DET bracis-19055 153 13 identification identification NOUN bracis-19055 153 14 had have AUX bracis-19055 153 15 been be AUX bracis-19055 153 16 carried carry VERB bracis-19055 153 17 out out ADP bracis-19055 153 18 by by ADP bracis-19055 153 19 specialists specialist NOUN bracis-19055 153 20 from from ADP bracis-19055 153 21 the the DET bracis-19055 153 22 business business NOUN bracis-19055 153 23 area area NOUN bracis-19055 153 24 . . PUNCT bracis-19055 154 1 4 4 NUM bracis-19055 154 2 final final ADJ bracis-19055 154 3 remarks remark NOUN bracis-19055 154 4 in in ADP bracis-19055 154 5 this this DET bracis-19055 154 6 work work NOUN bracis-19055 154 7 , , PUNCT bracis-19055 154 8 four four NUM bracis-19055 154 9 different different ADJ bracis-19055 154 10 unsupervised unsupervised ADJ bracis-19055 154 11 learning learning NOUN bracis-19055 154 12 techniques technique NOUN bracis-19055 154 13 were be AUX bracis-19055 154 14 tested test VERB bracis-19055 154 15 and and CCONJ bracis-19055 154 16 evaluated evaluate VERB bracis-19055 154 17 on on ADP bracis-19055 154 18 detecting detect VERB bracis-19055 154 19 anomalies anomaly NOUN bracis-19055 154 20 in in ADP bracis-19055 154 21 data datum NOUN bracis-19055 154 22 from from ADP bracis-19055 154 23 brazilian brazilian ADJ bracis-19055 154 24 federal federal ADJ bracis-19055 154 25 government government NOUN bracis-19055 154 26 purchase purchase NOUN bracis-19055 154 27 cards card NOUN bracis-19055 154 28 ( ( PUNCT bracis-19055 154 29 cpgf cpgf NOUN bracis-19055 154 30 ) ) PUNCT bracis-19055 154 31 . . PUNCT bracis-19055 155 1 the the DET bracis-19055 155 2 obtained obtain VERB bracis-19055 155 3 experimental experimental ADJ bracis-19055 155 4 results result NOUN bracis-19055 155 5 indicate indicate VERB bracis-19055 155 6 that that SCONJ bracis-19055 155 7 the the DET bracis-19055 155 8 k k NOUN bracis-19055 155 9 - - PUNCT bracis-19055 155 10 means mean NOUN bracis-19055 155 11 and and CCONJ bracis-19055 155 12 agglomerative agglomerative ADJ bracis-19055 155 13 clustering clustering ADJ bracis-19055 155 14 methods method NOUN bracis-19055 155 15 were be AUX bracis-19055 155 16 not not PART bracis-19055 155 17 able able ADJ bracis-19055 155 18 to to PART bracis-19055 155 19 provide provide VERB bracis-19055 155 20 a a DET bracis-19055 155 21 clear clear ADJ bracis-19055 155 22 output output NOUN bracis-19055 155 23 , , PUNCT bracis-19055 155 24 in in ADP bracis-19055 155 25 terms term NOUN bracis-19055 155 26 of of ADP bracis-19055 155 27 information information NOUN bracis-19055 155 28 to to PART bracis-19055 155 29 help help VERB bracis-19055 155 30 in in ADP bracis-19055 155 31 the the DET bracis-19055 155 32 identification identification NOUN bracis-19055 155 33 of of ADP bracis-19055 155 34 values value NOUN bracis-19055 155 35 that that PRON bracis-19055 155 36 can can AUX bracis-19055 155 37 configure configure VERB bracis-19055 155 38 possible possible ADJ bracis-19055 155 39 misuse misuse NOUN bracis-19055 155 40 of of ADP bracis-19055 155 41 the the DET bracis-19055 155 42 card card NOUN bracis-19055 155 43 . . PUNCT bracis-19055 156 1 on on ADP bracis-19055 156 2 the the DET bracis-19055 156 3 other other ADJ bracis-19055 156 4 hand hand NOUN bracis-19055 156 5 , , PUNCT bracis-19055 156 6 the the DET bracis-19055 156 7 network network NOUN bracis-19055 156 8 - - PUNCT bracis-19055 156 9 based base VERB bracis-19055 156 10 approach approach NOUN bracis-19055 156 11 , , PUNCT bracis-19055 156 12 also also ADV bracis-19055 156 13 introduced introduce VERB bracis-19055 156 14 in in ADP bracis-19055 156 15 this this DET bracis-19055 156 16 study study NOUN bracis-19055 156 17 , , PUNCT bracis-19055 156 18 demonstrated demonstrate VERB bracis-19055 156 19 to to PART bracis-19055 156 20 be be AUX bracis-19055 156 21 more more ADV bracis-19055 156 22 successful successful ADJ bracis-19055 156 23 in in ADP bracis-19055 156 24 this this DET bracis-19055 156 25 task task NOUN bracis-19055 156 26 , , PUNCT bracis-19055 156 27 as as SCONJ bracis-19055 156 28 it it PRON bracis-19055 156 29 was be AUX bracis-19055 156 30 the the DET bracis-19055 156 31 only only ADJ bracis-19055 156 32 technique technique NOUN bracis-19055 156 33 able able ADJ bracis-19055 156 34 to to PART bracis-19055 156 35 automatically automatically ADV bracis-19055 156 36 infer infer VERB bracis-19055 156 37 some some DET bracis-19055 156 38 points point NOUN bracis-19055 156 39 of of ADP bracis-19055 156 40 attention attention NOUN bracis-19055 156 41 that that PRON bracis-19055 156 42 can can AUX bracis-19055 156 43 be be AUX bracis-19055 156 44 used use VERB bracis-19055 156 45 as as ADP bracis-19055 156 46 a a DET bracis-19055 156 47 starting starting NOUN bracis-19055 156 48 point point NOUN bracis-19055 156 49 for for ADP bracis-19055 156 50 further further ADJ bracis-19055 156 51 investigations investigation NOUN bracis-19055 156 52 . . PUNCT bracis-19055 157 1 the the DET bracis-19055 157 2 hybrid hybrid NOUN bracis-19055 157 3 model model NOUN bracis-19055 157 4 obtained obtain VERB bracis-19055 157 5 more more ADV bracis-19055 157 6 clear clear ADJ bracis-19055 157 7 results result NOUN bracis-19055 157 8 when when SCONJ bracis-19055 157 9 compared compare VERB bracis-19055 157 10 to to ADP bracis-19055 157 11 the the DET bracis-19055 157 12 first first ADJ bracis-19055 157 13 two two NUM bracis-19055 157 14 clustering clustering ADJ bracis-19055 157 15 techniques technique NOUN bracis-19055 157 16 , , PUNCT bracis-19055 157 17 and and CCONJ bracis-19055 157 18 has have VERB bracis-19055 157 19 potential potential NOUN bracis-19055 157 20 to to PART bracis-19055 157 21 be be AUX bracis-19055 157 22 used use VERB bracis-19055 157 23 as as ADV bracis-19055 157 24 well well ADV bracis-19055 157 25 in in ADP bracis-19055 157 26 the the DET bracis-19055 157 27 initial initial ADJ bracis-19055 157 28 process process NOUN bracis-19055 157 29 of of ADP bracis-19055 157 30 identifying identify VERB bracis-19055 157 31 misuse misuse NOUN bracis-19055 157 32 of of ADP bracis-19055 157 33 cpgf cpgf NOUN bracis-19055 157 34 . . PUNCT bracis-19055 158 1 it it PRON bracis-19055 158 2 is be AUX bracis-19055 158 3 important important ADJ bracis-19055 158 4 to to PART bracis-19055 158 5 note note VERB bracis-19055 158 6 that that SCONJ bracis-19055 158 7 the the DET bracis-19055 158 8 results result NOUN bracis-19055 158 9 obtained obtain VERB bracis-19055 158 10 in in ADP bracis-19055 158 11 the the DET bracis-19055 158 12 anomaly anomaly NOUN bracis-19055 158 13 detection detection NOUN bracis-19055 158 14 task task NOUN bracis-19055 158 15 , , PUNCT bracis-19055 158 16 in in ADP bracis-19055 158 17 this this DET bracis-19055 158 18 case case NOUN bracis-19055 158 19 , , PUNCT bracis-19055 158 20 depend depend VERB bracis-19055 158 21 heavily heavily ADV bracis-19055 158 22 on on ADP bracis-19055 158 23 the the DET bracis-19055 158 24 definition definition NOUN bracis-19055 158 25 of of ADP bracis-19055 158 26 some some DET bracis-19055 158 27 factors factor NOUN bracis-19055 158 28 inherent inherent ADJ bracis-19055 158 29 to to ADP bracis-19055 158 30 the the DET bracis-19055 158 31 knowledge knowledge NOUN bracis-19055 158 32 of of ADP bracis-19055 158 33 the the DET bracis-19055 158 34 business business NOUN bracis-19055 158 35 areas area NOUN bracis-19055 158 36 from from ADP bracis-19055 158 37 the the DET bracis-19055 158 38 controller controller NOUN bracis-19055 158 39 general general ADJ bracis-19055 158 40 office office NOUN bracis-19055 158 41 , , PUNCT bracis-19055 158 42 such such ADJ bracis-19055 158 43 as as ADP bracis-19055 158 44 : : PUNCT bracis-19055 158 45 what what PRON bracis-19055 158 46 are be AUX bracis-19055 158 47 the the DET bracis-19055 158 48 more more ADV bracis-19055 158 49 suitable suitable ADJ bracis-19055 158 50 sliding slide VERB bracis-19055 158 51 window window NOUN bracis-19055 158 52 values value NOUN bracis-19055 158 53 to to PART bracis-19055 158 54 make make VERB bracis-19055 158 55 comparisons comparison NOUN bracis-19055 158 56 , , PUNCT bracis-19055 158 57 what what PRON bracis-19055 158 58 are be AUX bracis-19055 158 59 the the DET bracis-19055 158 60 more more ADV bracis-19055 158 61 suitable suitable ADJ bracis-19055 158 62 grouping grouping NOUN bracis-19055 158 63 periods period NOUN bracis-19055 158 64 for for ADP bracis-19055 158 65 transactions transaction NOUN bracis-19055 158 66 ( ( PUNCT bracis-19055 158 67 weekly weekly ADJ bracis-19055 158 68 , , PUNCT bracis-19055 158 69 biweekly biweekly ADJ bracis-19055 158 70 etc etc X bracis-19055 158 71 . . PUNCT bracis-19055 158 72 ) ) PUNCT bracis-19055 159 1 and and CCONJ bracis-19055 159 2 what what PRON bracis-19055 159 3 would would AUX bracis-19055 159 4 be be AUX bracis-19055 159 5 the the DET bracis-19055 159 6 threshold threshold NOUN bracis-19055 159 7 , , PUNCT bracis-19055 159 8 for for ADP bracis-19055 159 9 each each DET bracis-19055 159 10 public public ADJ bracis-19055 159 11 agency agency NOUN bracis-19055 159 12 , , PUNCT bracis-19055 159 13 to to PART bracis-19055 159 14 define define VERB bracis-19055 159 15 which which DET bracis-19055 159 16 payments payment NOUN bracis-19055 159 17 worth worth ADJ bracis-19055 159 18 a a DET bracis-19055 159 19 deeper deep ADJ bracis-19055 159 20 investigation investigation NOUN bracis-19055 159 21 and and CCONJ bracis-19055 159 22 which which DET bracis-19055 159 23 ones one NOUN bracis-19055 159 24 can can AUX bracis-19055 159 25 be be AUX bracis-19055 159 26 neglected neglect VERB bracis-19055 159 27 . . PUNCT bracis-19055 160 1 all all PRON bracis-19055 160 2 of of ADP bracis-19055 160 3 these these DET bracis-19055 160 4 parameters parameter NOUN bracis-19055 160 5 have have AUX bracis-19055 160 6 proved prove VERB bracis-19055 160 7 to to PART bracis-19055 160 8 be be AUX bracis-19055 160 9 relevant relevant ADJ bracis-19055 160 10 to to ADP bracis-19055 160 11 the the DET bracis-19055 160 12 results result NOUN bracis-19055 160 13 obtained obtain VERB bracis-19055 160 14 in in ADP bracis-19055 160 15 this this DET bracis-19055 160 16 study study NOUN bracis-19055 160 17 . . PUNCT bracis-19055 161 1 we we PRON bracis-19055 161 2 believe believe VERB bracis-19055 161 3 that that SCONJ bracis-19055 161 4 one one NUM bracis-19055 161 5 of of ADP bracis-19055 161 6 the the DET bracis-19055 161 7 strengths strength NOUN bracis-19055 161 8 of of ADP bracis-19055 161 9 this this DET bracis-19055 161 10 research research NOUN bracis-19055 161 11 lies lie VERB bracis-19055 161 12 in in ADP bracis-19055 161 13 its its PRON bracis-19055 161 14 social social ADJ bracis-19055 161 15 contribution contribution NOUN bracis-19055 161 16 aspect aspect NOUN bracis-19055 161 17 , , PUNCT bracis-19055 161 18 especially especially ADV bracis-19055 161 19 when when SCONJ bracis-19055 161 20 we we PRON bracis-19055 161 21 consider consider VERB bracis-19055 161 22 that that SCONJ bracis-19055 161 23 currently currently ADV bracis-19055 161 24 only only ADV bracis-19055 161 25 a a DET bracis-19055 161 26 few few ADJ bracis-19055 161 27 amount amount NOUN bracis-19055 161 28 of of ADP bracis-19055 161 29 people people NOUN bracis-19055 161 30 know know VERB bracis-19055 161 31 how how SCONJ bracis-19055 161 32 to to PART bracis-19055 161 33 properly properly ADV bracis-19055 161 34 use use VERB bracis-19055 161 35 the the DET bracis-19055 161 36 brazilian brazilian ADJ bracis-19055 161 37 transparency transparency NOUN bracis-19055 161 38 portal portal NOUN bracis-19055 161 39 and and CCONJ bracis-19055 161 40 gather gather VERB bracis-19055 161 41 relevant relevant ADJ bracis-19055 161 42 information information NOUN bracis-19055 161 43 from from ADP bracis-19055 161 44 this this DET bracis-19055 161 45 source source NOUN bracis-19055 161 46 . . PUNCT bracis-19055 162 1 therefore therefore ADV bracis-19055 162 2 , , PUNCT bracis-19055 162 3 we we PRON bracis-19055 162 4 expect expect VERB bracis-19055 162 5 that that SCONJ bracis-19055 162 6 our our PRON bracis-19055 162 7 work work NOUN bracis-19055 162 8 can can AUX bracis-19055 162 9 contribute contribute VERB bracis-19055 162 10 to to PART bracis-19055 162 11 improve improve VERB bracis-19055 162 12 this this DET bracis-19055 162 13 scenario scenario NOUN bracis-19055 162 14 , , PUNCT bracis-19055 162 15 by by ADP bracis-19055 162 16 bringing bring VERB bracis-19055 162 17 more more ADJ bracis-19055 162 18 attention attention NOUN bracis-19055 162 19 to to ADP bracis-19055 162 20 the the DET bracis-19055 162 21 importance importance NOUN bracis-19055 162 22 of of ADP bracis-19055 162 23 this this DET bracis-19055 162 24 tool tool NOUN bracis-19055 162 25 for for ADP bracis-19055 162 26 the the DET bracis-19055 162 27 population population NOUN bracis-19055 162 28 in in ADP bracis-19055 162 29 general general ADJ bracis-19055 162 30 , , PUNCT bracis-19055 162 31 in in ADP bracis-19055 162 32 order order NOUN bracis-19055 162 33 to to PART bracis-19055 162 34 increase increase VERB bracis-19055 162 35 the the DET bracis-19055 162 36 government government NOUN bracis-19055 162 37 accountability accountability NOUN bracis-19055 162 38 level level NOUN bracis-19055 162 39 in in ADP bracis-19055 162 40 brazil brazil PROPN bracis-19055 162 41 . . PUNCT bracis-19055 163 1 finally finally ADV bracis-19055 163 2 , , PUNCT bracis-19055 163 3 from from ADP bracis-19055 163 4 the the DET bracis-19055 163 5 values value NOUN bracis-19055 163 6 identified identify VERB bracis-19055 163 7 as as ADP bracis-19055 163 8 outliers outlier NOUN bracis-19055 163 9 in in ADP bracis-19055 163 10 the the DET bracis-19055 163 11 models model NOUN bracis-19055 163 12 , , PUNCT bracis-19055 163 13 especially especially ADV bracis-19055 163 14 those those PRON bracis-19055 163 15 returned return VERB bracis-19055 163 16 by by ADP bracis-19055 163 17 the the DET bracis-19055 163 18 network network NOUN bracis-19055 163 19 - - PUNCT bracis-19055 163 20 based base VERB bracis-19055 163 21 and and CCONJ bracis-19055 163 22 hybrid hybrid ADJ bracis-19055 163 23 approaches approach NOUN bracis-19055 163 24 , , PUNCT bracis-19055 163 25 one one PRON bracis-19055 163 26 can can AUX bracis-19055 163 27 evolve evolve VERB bracis-19055 163 28 to to PART bracis-19055 163 29 develop develop VERB bracis-19055 163 30 a a DET bracis-19055 163 31 more more ADV bracis-19055 163 32 detailed detailed ADJ bracis-19055 163 33 measurement measurement NOUN bracis-19055 163 34 in in ADP bracis-19055 163 35 order order NOUN bracis-19055 163 36 to to PART bracis-19055 163 37 ascertain ascertain VERB bracis-19055 163 38 whether whether SCONJ bracis-19055 163 39 in in ADP bracis-19055 163 40 fact fact NOUN bracis-19055 163 41 these these DET bracis-19055 163 42 identified identify VERB bracis-19055 163 43 transactions transaction NOUN bracis-19055 163 44 represent represent VERB bracis-19055 163 45 a a DET bracis-19055 163 46 misuse misuse NOUN bracis-19055 163 47 of of ADP bracis-19055 163 48 the the DET bracis-19055 163 49 cpgf cpgf NOUN bracis-19055 163 50 . . PUNCT bracis-19055 164 1 in in ADP bracis-19055 164 2 this this DET bracis-19055 164 3 way way NOUN bracis-19055 164 4 , , PUNCT bracis-19055 164 5 the the DET bracis-19055 164 6 overall overall ADJ bracis-19055 164 7 process process NOUN bracis-19055 164 8 could could AUX bracis-19055 164 9 hence hence ADV bracis-19055 164 10 evolve evolve VERB bracis-19055 164 11 to to ADP bracis-19055 164 12 a a DET bracis-19055 164 13 semi semi ADJ bracis-19055 164 14 - - ADJ bracis-19055 164 15 supervised supervised ADJ bracis-19055 164 16 learning learning NOUN bracis-19055 164 17 approach approach NOUN bracis-19055 164 18 and and CCONJ bracis-19055 164 19 , , PUNCT bracis-19055 164 20 later later ADV bracis-19055 164 21 , , PUNCT bracis-19055 164 22 to to ADP bracis-19055 164 23 supervised supervised ADJ bracis-19055 164 24 models model NOUN bracis-19055 164 25 . . PUNCT bracis-19055 165 1 fig fig NOUN bracis-19055 165 2 . . PUNCT bracis-19055 166 1 8 8 X bracis-19055 166 2 . . PUNCT bracis-19055 166 3 results result NOUN bracis-19055 166 4 obtained obtain VERB bracis-19055 166 5 with with ADP bracis-19055 166 6 the the DET bracis-19055 166 7 hybrid hybrid ADJ bracis-19055 166 8 approach approach NOUN bracis-19055 166 9 . . PUNCT bracis-19055 167 1 the the DET bracis-19055 167 2 highlighted highlight VERB bracis-19055 167 3 values value NOUN bracis-19055 167 4 indicate indicate VERB bracis-19055 167 5 possible possible ADJ bracis-19055 167 6 anomalies anomaly NOUN bracis-19055 167 7 in in ADP bracis-19055 167 8 the the DET bracis-19055 167 9 use use NOUN bracis-19055 167 10 of of ADP bracis-19055 167 11 cpgf cpgf NOUN bracis-19055 167 12 , , PUNCT bracis-19055 167 13 identified identify VERB bracis-19055 167 14 by by ADP bracis-19055 167 15 specialists specialist NOUN bracis-19055 167 16 from from ADP bracis-19055 167 17 the the DET bracis-19055 167 18 business business NOUN bracis-19055 167 19 area area NOUN bracis-19055 167 20 . . PUNCT bracis-19055 168 1 full full ADJ bracis-19055 168 2 size size NOUN bracis-19055 168 3 image image NOUN bracis-19055 168 4 references reference NOUN bracis-19055 168 5 abecs abecs VERB bracis-19055 168 6 : : PUNCT bracis-19055 168 7 brazilian brazilian ADJ bracis-19055 168 8 association association NOUN bracis-19055 168 9 of of ADP bracis-19055 168 10 credit credit NOUN bracis-19055 168 11 card card NOUN bracis-19055 168 12 and and CCONJ bracis-19055 168 13 services service NOUN bracis-19055 168 14 companies company NOUN bracis-19055 168 15 . . PUNCT bracis-19055 169 1 www.abecs.org.br www.abecs.org.br ADJ bracis-19055 169 2 . . PUNCT bracis-19055 170 1 accessed access VERB bracis-19055 170 2 2 2 NUM bracis-19055 170 3 july july PROPN bracis-19055 170 4 2020 2020 NUM bracis-19055 170 5 akoglu akoglu PROPN bracis-19055 170 6 , , PUNCT bracis-19055 170 7 l. l. PROPN bracis-19055 170 8 , , PUNCT bracis-19055 170 9 tong tong PROPN bracis-19055 170 10 , , PUNCT bracis-19055 170 11 h. h. PROPN bracis-19055 170 12 , , PUNCT bracis-19055 170 13 koutra koutra PROPN bracis-19055 170 14 , , PUNCT bracis-19055 170 15 d. d. PROPN bracis-19055 170 16 : : PUNCT bracis-19055 170 17 graph graph NOUN bracis-19055 170 18 based base VERB bracis-19055 170 19 anomaly anomaly NOUN bracis-19055 170 20 detection detection NOUN bracis-19055 170 21 and and CCONJ bracis-19055 170 22 description description NOUN bracis-19055 170 23 : : PUNCT bracis-19055 170 24 a a DET bracis-19055 170 25 survey survey NOUN bracis-19055 170 26 . . PUNCT bracis-19055 171 1 data datum NOUN bracis-19055 171 2 mining mining NOUN bracis-19055 171 3 knowl knowl PROPN bracis-19055 171 4 . . PUNCT bracis-19055 172 1 disc disc NOUN bracis-19055 172 2 . . PUNCT bracis-19055 173 1 29(3 29(3 NUM bracis-19055 173 2 ) ) PUNCT bracis-19055 173 3 , , PUNCT bracis-19055 173 4 626–688 626–688 NUM bracis-19055 173 5 ( ( PUNCT bracis-19055 173 6 2015 2015 NUM bracis-19055 173 7 ) ) PUNCT bracis-19055 173 8 article article NOUN bracis-19055 173 9     SPACE bracis-19055 173 10 mathscinet mathscinet NOUN bracis-19055 173 11     SPACE bracis-19055 173 12 google google PROPN bracis-19055 173 13 scholar scholar NOUN bracis-19055 173 14     SPACE bracis-19055 173 15 de de X bracis-19055 173 16 andrade andrade PROPN bracis-19055 173 17 , , PUNCT bracis-19055 173 18 p.h.m.a p.h.m.a PROPN bracis-19055 173 19 . . PROPN bracis-19055 173 20 , , PUNCT bracis-19055 173 21 meira meira PROPN bracis-19055 173 22 , , PUNCT bracis-19055 173 23 w. w. PROPN bracis-19055 173 24 , , PUNCT bracis-19055 173 25 cerqueira cerqueira PROPN bracis-19055 173 26 , , PUNCT bracis-19055 173 27 b. b. PROPN bracis-19055 173 28 , , PUNCT bracis-19055 173 29 cruz cruz PROPN bracis-19055 173 30 , , PUNCT bracis-19055 173 31 g. g. PROPN bracis-19055 173 32 : : PUNCT bracis-19055 173 33 auditing audit VERB bracis-19055 173 34 government government NOUN bracis-19055 173 35 purchases purchase NOUN bracis-19055 173 36 with with ADP bracis-19055 173 37 a a DET bracis-19055 173 38 multicriteria multicriteria NOUN bracis-19055 173 39 anomaly anomaly NOUN bracis-19055 173 40 detection detection NOUN bracis-19055 173 41 strategy strategy NOUN bracis-19055 173 42 . . PUNCT bracis-19055 174 1 j. j. PROPN bracis-19055 174 2 inf inf PROPN bracis-19055 174 3 . . PUNCT bracis-19055 174 4 data datum NOUN bracis-19055 174 5 manage manage VERB bracis-19055 174 6 . . PUNCT bracis-19055 175 1 11(1 11(1 NUM bracis-19055 175 2 ) ) PUNCT bracis-19055 175 3 , , PUNCT bracis-19055 175 4 50–65 50–65 NUM bracis-19055 175 5 ( ( PUNCT bracis-19055 175 6 2020 2020 NUM bracis-19055 175 7 ) ) PUNCT bracis-19055 175 8 google google PROPN bracis-19055 175 9 scholar scholar NOUN bracis-19055 175 10     SPACE bracis-19055 175 11 bholowalia bholowalia NOUN bracis-19055 175 12 , , PUNCT bracis-19055 175 13 p. p. PROPN bracis-19055 175 14 , , PUNCT bracis-19055 175 15 kumar kumar PROPN bracis-19055 175 16 , , PUNCT bracis-19055 175 17 a. a. NOUN bracis-19055 175 18 : : PUNCT bracis-19055 175 19 ebk ebk PROPN bracis-19055 175 20 - - PUNCT bracis-19055 175 21 means means PROPN bracis-19055 175 22 : : PUNCT bracis-19055 175 23 a a DET bracis-19055 175 24 clustering cluster VERB bracis-19055 175 25 technique technique NOUN bracis-19055 175 26 based base VERB bracis-19055 175 27 on on ADP bracis-19055 175 28 elbow elbow NOUN bracis-19055 175 29 method method NOUN bracis-19055 175 30 and and CCONJ bracis-19055 175 31 k k NOUN bracis-19055 175 32 - - PUNCT bracis-19055 175 33 means means NOUN bracis-19055 175 34 in in ADP bracis-19055 175 35 wsn wsn PROPN bracis-19055 175 36 . . PUNCT bracis-19055 176 1 int int PROPN bracis-19055 176 2 . . PUNCT bracis-19055 177 1 j. j. PROPN bracis-19055 177 2 comput comput PROPN bracis-19055 177 3 . . PUNCT bracis-19055 178 1 appl appl PROPN bracis-19055 178 2 . . PUNCT bracis-19055 179 1 105(9 105(9 NUM bracis-19055 179 2 ) ) PUNCT bracis-19055 179 3 ( ( PUNCT bracis-19055 179 4 2014 2014 NUM bracis-19055 179 5 ) ) PUNCT bracis-19055 179 6 google google NOUN bracis-19055 179 7 scholar scholar NOUN bracis-19055 179 8     SPACE bracis-19055 179 9 bornholdt bornholdt NOUN bracis-19055 179 10 , , PUNCT bracis-19055 179 11 s. s. PROPN bracis-19055 179 12 , , PUNCT bracis-19055 179 13 schuster schuster PROPN bracis-19055 179 14 , , PUNCT bracis-19055 179 15 h.g h.g PROPN bracis-19055 179 16 . . PUNCT bracis-19055 179 17 : : PUNCT bracis-19055 180 1 handbook handbook NOUN bracis-19055 180 2 of of ADP bracis-19055 180 3 graphs graph NOUN bracis-19055 180 4 and and CCONJ bracis-19055 180 5 networks network NOUN bracis-19055 180 6 . . PUNCT bracis-19055 181 1 from from ADP bracis-19055 181 2 genome genome NOUN bracis-19055 181 3 to to ADP bracis-19055 181 4 the the DET bracis-19055 181 5 internet internet NOUN bracis-19055 181 6 , , PUNCT bracis-19055 181 7 willey willey PROPN bracis-19055 181 8 - - PUNCT bracis-19055 181 9 vch vch PROPN bracis-19055 181 10 ( ( PUNCT bracis-19055 181 11 2003 2003 NUM bracis-19055 181 12 weinheim weinheim NOUN bracis-19055 181 13 ) ) PUNCT bracis-19055 181 14 ( ( PUNCT bracis-19055 181 15 2001 2001 NUM bracis-19055 181 16 ) ) PUNCT bracis-19055 181 17 google google PROPN bracis-19055 181 18 scholar scholar NOUN bracis-19055 181 19     SPACE bracis-19055 181 20 bradley bradley PROPN bracis-19055 181 21 , , PUNCT bracis-19055 181 22 p.s p.s PROPN bracis-19055 181 23 . . PROPN bracis-19055 181 24 , , PUNCT bracis-19055 181 25 fayyad fayyad PROPN bracis-19055 181 26 , , PUNCT bracis-19055 181 27 u.m u.m PROPN bracis-19055 181 28 . . PROPN bracis-19055 181 29 : : PUNCT bracis-19055 181 30 refining refining NOUN bracis-19055 181 31 initial initial ADJ bracis-19055 181 32 points point NOUN bracis-19055 181 33 for for ADP bracis-19055 181 34 k k NOUN bracis-19055 181 35 - - PUNCT bracis-19055 181 36 means means NOUN bracis-19055 181 37 clustering clustering NOUN bracis-19055 181 38 . . PUNCT bracis-19055 182 1 in in ADP bracis-19055 182 2 : : PUNCT bracis-19055 182 3 icml icml NOUN bracis-19055 182 4 , , PUNCT bracis-19055 182 5 vol vol NOUN bracis-19055 182 6 . . PROPN bracis-19055 182 7 98 98 NUM bracis-19055 182 8 , , PUNCT bracis-19055 182 9 pp pp ADJ bracis-19055 182 10 . . PUNCT bracis-19055 183 1 91–99 91–99 NOUN bracis-19055 183 2 . . PUNCT bracis-19055 184 1 citeseer citeseer NOUN bracis-19055 184 2 ( ( PUNCT bracis-19055 184 3 1998 1998 NUM bracis-19055 184 4 ) ) PUNCT bracis-19055 184 5 google google PROPN bracis-19055 184 6 scholar scholar NOUN bracis-19055 184 7     SPACE bracis-19055 184 8 brandes brande NOUN bracis-19055 184 9 , , PUNCT bracis-19055 184 10 u. u. PROPN bracis-19055 184 11 , , PUNCT bracis-19055 184 12 et et PROPN bracis-19055 184 13 al al PROPN bracis-19055 184 14 . . PROPN bracis-19055 184 15 : : PUNCT bracis-19055 185 1 on on ADP bracis-19055 185 2 modularity modularity NOUN bracis-19055 185 3 clustering clustering NOUN bracis-19055 185 4 . . PUNCT bracis-19055 186 1 ieee ieee PROPN bracis-19055 186 2 trans trans PROPN bracis-19055 186 3 . . PROPN bracis-19055 187 1 knowl knowl PROPN bracis-19055 187 2 . . PUNCT bracis-19055 188 1 data data PROPN bracis-19055 188 2 eng eng PROPN bracis-19055 188 3 . . PROPN bracis-19055 188 4 20(2 20(2 NUM bracis-19055 188 5 ) ) PUNCT bracis-19055 188 6 , , PUNCT bracis-19055 188 7 172–188 172–188 NUM bracis-19055 188 8 ( ( PUNCT bracis-19055 188 9 2007 2007 NUM bracis-19055 188 10 ) ) PUNCT bracis-19055 188 11 article article NOUN bracis-19055 188 12     SPACE bracis-19055 188 13 google google PROPN bracis-19055 188 14 scholar scholar NOUN bracis-19055 188 15     SPACE bracis-19055 188 16 carcillo carcillo PROPN bracis-19055 188 17 , , PUNCT bracis-19055 188 18 f. f. PROPN bracis-19055 188 19 , , PUNCT bracis-19055 188 20 le le X bracis-19055 188 21 borgne borgne PROPN bracis-19055 188 22 , , PUNCT bracis-19055 188 23 y.a y.a PROPN bracis-19055 188 24 . . PROPN bracis-19055 188 25 , , PUNCT bracis-19055 188 26 caelen caelen ADJ bracis-19055 188 27 , , PUNCT bracis-19055 188 28 o. o. PROPN bracis-19055 188 29 , , PUNCT bracis-19055 188 30 kessaci kessaci PROPN bracis-19055 188 31 , , PUNCT bracis-19055 188 32 y. y. PROPN bracis-19055 188 33 , , PUNCT bracis-19055 188 34 oblé oblé PROPN bracis-19055 188 35 , , PUNCT bracis-19055 188 36 f. f. PROPN bracis-19055 188 37 , , PUNCT bracis-19055 188 38 bontempi bontempi PROPN bracis-19055 188 39 , , PUNCT bracis-19055 188 40 g. g. PROPN bracis-19055 188 41 : : PUNCT bracis-19055 188 42 combining combine VERB bracis-19055 188 43 unsupervised unsupervised ADJ bracis-19055 188 44 and and CCONJ bracis-19055 188 45 supervised supervised ADJ bracis-19055 188 46 learning learning NOUN bracis-19055 188 47 in in ADP bracis-19055 188 48 credit credit NOUN bracis-19055 188 49 card card NOUN bracis-19055 188 50 fraud fraud NOUN bracis-19055 188 51 detection detection NOUN bracis-19055 188 52 . . PUNCT bracis-19055 189 1 inf inf PROPN bracis-19055 189 2 . . PUNCT bracis-19055 190 1 sci sci PROPN bracis-19055 190 2 . . PROPN bracis-19055 190 3 557 557 NUM bracis-19055 190 4 , , PUNCT bracis-19055 190 5 317–331 317–331 NUM bracis-19055 190 6 ( ( PUNCT bracis-19055 190 7 2019 2019 NUM bracis-19055 190 8 ) ) PUNCT bracis-19055 190 9 google google NOUN bracis-19055 190 10 scholar scholar NOUN bracis-19055 190 11     SPACE bracis-19055 190 12 clauset clauset NOUN bracis-19055 190 13 , , PUNCT bracis-19055 190 14 a. a. PROPN bracis-19055 190 15 , , PUNCT bracis-19055 190 16 newman newman PROPN bracis-19055 190 17 , , PUNCT bracis-19055 190 18 m.e m.e PROPN bracis-19055 190 19 . . PROPN bracis-19055 190 20 , , PUNCT bracis-19055 190 21 moore moore PROPN bracis-19055 190 22 , , PUNCT bracis-19055 190 23 c. c. PROPN bracis-19055 190 24 : : PUNCT bracis-19055 190 25 finding find VERB bracis-19055 190 26 community community NOUN bracis-19055 190 27 structure structure NOUN bracis-19055 190 28 in in ADP bracis-19055 190 29 very very ADV bracis-19055 190 30 large large ADJ bracis-19055 190 31 networks network NOUN bracis-19055 190 32 . . PUNCT bracis-19055 191 1 phys phy NOUN bracis-19055 191 2 . . PUNCT bracis-19055 192 1 rev rev PROPN bracis-19055 192 2 . . PROPN bracis-19055 193 1 e e PROPN bracis-19055 193 2 70(6 70(6 PROPN bracis-19055 193 3 ) ) PUNCT bracis-19055 193 4 , , PUNCT bracis-19055 193 5 066111 066111 NUM bracis-19055 193 6 ( ( PUNCT bracis-19055 193 7 2004 2004 NUM bracis-19055 193 8 ) ) PUNCT bracis-19055 193 9 google google PROPN bracis-19055 193 10 scholar scholar NOUN bracis-19055 193 11     SPACE bracis-19055 193 12 colliri colliri NOUN bracis-19055 193 13 , , PUNCT bracis-19055 193 14 t. t. PROPN bracis-19055 193 15 , , PUNCT bracis-19055 193 16 zhao zhao PROPN bracis-19055 193 17 , , PUNCT bracis-19055 193 18 l. l. PROPN bracis-19055 193 19 : : PUNCT bracis-19055 193 20 a a DET bracis-19055 193 21 network network NOUN bracis-19055 193 22 - - PUNCT bracis-19055 193 23 based base VERB bracis-19055 193 24 model model NOUN bracis-19055 193 25 for for ADP bracis-19055 193 26 optimizing optimize VERB bracis-19055 193 27 returns return NOUN bracis-19055 193 28 in in ADP bracis-19055 193 29 the the DET bracis-19055 193 30 stock stock NOUN bracis-19055 193 31 market market NOUN bracis-19055 193 32 . . PUNCT bracis-19055 194 1 in in ADP bracis-19055 194 2 : : PUNCT bracis-19055 194 3 2019 2019 NUM bracis-19055 194 4 8th 8th ADJ bracis-19055 194 5 brazilian brazilian ADJ bracis-19055 194 6 conference conference NOUN bracis-19055 194 7 on on ADP bracis-19055 194 8 intelligent intelligent ADJ bracis-19055 194 9 systems system NOUN bracis-19055 194 10 ( ( PUNCT bracis-19055 194 11 bracis bracis NOUN bracis-19055 194 12 ) ) PUNCT bracis-19055 194 13 , , PUNCT bracis-19055 194 14 pp pp ADP bracis-19055 194 15 . . PUNCT bracis-19055 195 1 645–650 645–650 NUM bracis-19055 195 2 ( ( PUNCT bracis-19055 195 3 2019 2019 NUM bracis-19055 195 4 ) ) PUNCT bracis-19055 195 5 . . PUNCT bracis-19055 196 1 https://doi.org/10.1109/bracis.2019.00118 https://doi.org/10.1109/bracis.2019.00118 PROPN bracis-19055 196 2 colliri colliri PROPN bracis-19055 196 3 , , PUNCT bracis-19055 196 4 t. t. PROPN bracis-19055 196 5 , , PUNCT bracis-19055 196 6 zhao zhao PROPN bracis-19055 196 7 , , PUNCT bracis-19055 196 8 l. l. PROPN bracis-19055 196 9 : : PUNCT bracis-19055 196 10 stock stock NOUN bracis-19055 196 11 market market NOUN bracis-19055 196 12 trend trend NOUN bracis-19055 196 13 detection detection NOUN bracis-19055 196 14 and and CCONJ bracis-19055 196 15 automatic automatic ADJ bracis-19055 196 16 decision decision NOUN bracis-19055 196 17 - - PUNCT bracis-19055 196 18 making making NOUN bracis-19055 196 19 through through ADP bracis-19055 196 20 a a DET bracis-19055 196 21 network network NOUN bracis-19055 196 22 - - PUNCT bracis-19055 196 23 based base VERB bracis-19055 196 24 classification classification NOUN bracis-19055 196 25 model model NOUN bracis-19055 196 26 . . PUNCT bracis-19055 197 1 nat nat NOUN bracis-19055 197 2 . . PUNCT bracis-19055 198 1 comput comput PROPN bracis-19055 198 2 . . PUNCT bracis-19055 199 1 1–14 1–14 PROPN bracis-19055 199 2 ( ( PUNCT bracis-19055 199 3 2021 2021 NUM bracis-19055 199 4 ) ) PUNCT bracis-19055 199 5 . . PUNCT bracis-19055 200 1 https://doi.org/10.1007/s11047-020-09829-9 https://doi.org/10.1007/s11047-020-09829-9 NUM bracis-19055 200 2 day day NOUN bracis-19055 200 3 , , PUNCT bracis-19055 200 4 w.h w.h PROPN bracis-19055 200 5 . . PROPN bracis-19055 200 6 , , PUNCT bracis-19055 200 7 edelsbrunner edelsbrunner NOUN bracis-19055 200 8 , , PUNCT bracis-19055 200 9 h. h. NOUN bracis-19055 200 10 : : PUNCT bracis-19055 200 11 efficient efficient ADJ bracis-19055 200 12 algorithms algorithm NOUN bracis-19055 200 13 for for ADP bracis-19055 200 14 agglomerative agglomerative ADJ bracis-19055 200 15 hierarchical hierarchical ADJ bracis-19055 200 16 clustering clustering ADJ bracis-19055 200 17 methods method NOUN bracis-19055 200 18 . . PUNCT bracis-19055 201 1 j. j. PROPN bracis-19055 201 2 classif classif PROPN bracis-19055 201 3 . . PROPN bracis-19055 201 4 1(1 1(1 NUM bracis-19055 201 5 ) ) PUNCT bracis-19055 201 6 , , PUNCT bracis-19055 201 7 7–24 7–24 PROPN bracis-19055 201 8 ( ( PUNCT bracis-19055 201 9 1984 1984 NUM bracis-19055 201 10 ) ) PUNCT bracis-19055 201 11 article article NOUN bracis-19055 201 12     SPACE bracis-19055 201 13 google google PROPN bracis-19055 201 14 scholar scholar NOUN bracis-19055 201 15     SPACE bracis-19055 201 16 ferreira ferreira PROPN bracis-19055 201 17 , , PUNCT bracis-19055 201 18 l.n l.n PROPN bracis-19055 201 19 . . PROPN bracis-19055 201 20 , , PUNCT bracis-19055 201 21 zhao zhao PROPN bracis-19055 201 22 , , PUNCT bracis-19055 201 23 l. l. PROPN bracis-19055 201 24 : : PUNCT bracis-19055 201 25 detecting detect VERB bracis-19055 201 26 time time NOUN bracis-19055 201 27 series series PROPN bracis-19055 201 28 periodicity periodicity NOUN bracis-19055 201 29 using use VERB bracis-19055 201 30 complex complex ADJ bracis-19055 201 31 networks network NOUN bracis-19055 201 32 . . PUNCT bracis-19055 202 1 in in ADP bracis-19055 202 2 : : PUNCT bracis-19055 202 3 2014 2014 NUM bracis-19055 202 4 brazilian brazilian ADJ bracis-19055 202 5 conference conference NOUN bracis-19055 202 6 on on ADP bracis-19055 202 7 intelligent intelligent ADJ bracis-19055 202 8 systems system NOUN bracis-19055 202 9 , , PUNCT bracis-19055 202 10 pp pp ADJ bracis-19055 202 11 . . PUNCT bracis-19055 203 1 402–407 402–407 X bracis-19055 203 2 . . X bracis-19055 204 1 ieee ieee NOUN bracis-19055 204 2 ( ( PUNCT bracis-19055 204 3 2014 2014 NUM bracis-19055 204 4 ) ) PUNCT bracis-19055 204 5 google google PROPN bracis-19055 204 6 scholar scholar NOUN bracis-19055 204 7     SPACE bracis-19055 204 8 li li PROPN bracis-19055 204 9 , , PUNCT bracis-19055 204 10 j. j. PROPN bracis-19055 204 11 , , PUNCT bracis-19055 204 12 di di PROPN bracis-19055 204 13 , , PUNCT bracis-19055 204 14 s. s. PROPN bracis-19055 204 15 , , PUNCT bracis-19055 204 16 shen shen PROPN bracis-19055 204 17 , , PUNCT bracis-19055 204 18 y. y. PROPN bracis-19055 204 19 , , PUNCT bracis-19055 204 20 chen chen PROPN bracis-19055 204 21 , , PUNCT bracis-19055 204 22 l. l. PROPN bracis-19055 204 23 : : PUNCT bracis-19055 204 24 fluxev fluxev VERB bracis-19055 204 25 : : PUNCT bracis-19055 204 26 a a DET bracis-19055 204 27 fast fast ADJ bracis-19055 204 28 and and CCONJ bracis-19055 204 29 effective effective ADJ bracis-19055 204 30 unsupervised unsupervised ADJ bracis-19055 204 31 framework framework NOUN bracis-19055 204 32 for for ADP bracis-19055 204 33 time time NOUN bracis-19055 204 34 - - PUNCT bracis-19055 204 35 series series NOUN bracis-19055 204 36 anomaly anomaly NOUN bracis-19055 204 37 detection detection NOUN bracis-19055 204 38 . . PUNCT bracis-19055 205 1 in in ADP bracis-19055 205 2 : : PUNCT bracis-19055 205 3 proceedings proceeding NOUN bracis-19055 205 4 of of ADP bracis-19055 205 5 the the DET bracis-19055 205 6 14th 14th ADJ bracis-19055 205 7 acm acm PROPN bracis-19055 205 8 international international ADJ bracis-19055 205 9 conference conference NOUN bracis-19055 205 10 on on ADP bracis-19055 205 11 web web NOUN bracis-19055 205 12 search search NOUN bracis-19055 205 13 and and CCONJ bracis-19055 205 14 data datum NOUN bracis-19055 205 15 mining mining NOUN bracis-19055 205 16 , , PUNCT bracis-19055 205 17 pp pp ADP bracis-19055 205 18 . . PUNCT bracis-19055 206 1 824–832 824–832 NUM bracis-19055 206 2 ( ( PUNCT bracis-19055 206 3 2021 2021 NUM bracis-19055 206 4 ) ) PUNCT bracis-19055 206 5 google google NOUN bracis-19055 206 6 scholar scholar NOUN bracis-19055 206 7     SPACE bracis-19055 206 8 likas likas PROPN bracis-19055 206 9 , , PUNCT bracis-19055 206 10 a. a. NOUN bracis-19055 206 11 , , PUNCT bracis-19055 206 12 vlassis vlassis NOUN bracis-19055 206 13 , , PUNCT bracis-19055 206 14 n. n. NOUN bracis-19055 206 15 , , PUNCT bracis-19055 206 16 verbeek verbeek NOUN bracis-19055 206 17 , , PUNCT bracis-19055 206 18 j.j j.j PROPN bracis-19055 206 19 . . PROPN bracis-19055 206 20 : : PUNCT bracis-19055 207 1 the the DET bracis-19055 207 2 global global ADJ bracis-19055 207 3 k k PROPN bracis-19055 207 4 - - PUNCT bracis-19055 207 5 means mean VERB bracis-19055 207 6 clustering clustering ADJ bracis-19055 207 7 algorithm algorithm NOUN bracis-19055 207 8 . . PUNCT bracis-19055 208 1 pattern pattern NOUN bracis-19055 208 2 recogn recogn VERB bracis-19055 208 3 . . PUNCT bracis-19055 209 1 36(2 36(2 NUM bracis-19055 209 2 ) ) PUNCT bracis-19055 209 3 , , PUNCT bracis-19055 210 1 451–461 451–461 NUM bracis-19055 210 2 ( ( PUNCT bracis-19055 210 3 2003 2003 NUM bracis-19055 210 4 ) ) PUNCT bracis-19055 210 5 article article NOUN bracis-19055 210 6     SPACE bracis-19055 210 7 google google PROPN bracis-19055 210 8 scholar scholar NOUN bracis-19055 210 9     SPACE bracis-19055 210 10 paula paula PROPN bracis-19055 210 11 , , PUNCT bracis-19055 210 12 e.l e.l PROPN bracis-19055 210 13 . . PROPN bracis-19055 210 14 , , PUNCT bracis-19055 210 15 ladeira ladeira PROPN bracis-19055 210 16 , , PUNCT bracis-19055 210 17 m. m. NOUN bracis-19055 210 18 , , PUNCT bracis-19055 210 19 carvalho carvalho PROPN bracis-19055 210 20 , , PUNCT bracis-19055 210 21 r.n r.n PROPN bracis-19055 210 22 . . PROPN bracis-19055 210 23 , , PUNCT bracis-19055 210 24 marzagao marzagao NOUN bracis-19055 210 25 , , PUNCT bracis-19055 210 26 t. t. NOUN bracis-19055 210 27 : : PUNCT bracis-19055 210 28 deep deep ADJ bracis-19055 210 29 learning learn VERB bracis-19055 210 30 anomaly anomaly NOUN bracis-19055 210 31 detection detection NOUN bracis-19055 210 32 as as ADP bracis-19055 210 33 support support NOUN bracis-19055 210 34 fraud fraud NOUN bracis-19055 210 35 investigation investigation NOUN bracis-19055 210 36 in in ADP bracis-19055 210 37 brazilian brazilian ADJ bracis-19055 210 38 exports export NOUN bracis-19055 210 39 and and CCONJ bracis-19055 210 40 anti anti ADJ bracis-19055 210 41 - - ADJ bracis-19055 210 42 money money ADJ bracis-19055 210 43 laundering laundering NOUN bracis-19055 210 44 . . PUNCT bracis-19055 211 1 in in ADP bracis-19055 211 2 : : PUNCT bracis-19055 211 3 2016 2016 NUM bracis-19055 211 4 15th 15th ADJ bracis-19055 211 5 ieee ieee PROPN bracis-19055 211 6 international international ADJ bracis-19055 211 7 conference conference NOUN bracis-19055 211 8 on on ADP bracis-19055 211 9 machine machine NOUN bracis-19055 211 10 learning learning NOUN bracis-19055 211 11 and and CCONJ bracis-19055 211 12 applications application NOUN bracis-19055 211 13 ( ( PUNCT bracis-19055 211 14 icmla icmla NOUN bracis-19055 211 15 ) ) PUNCT bracis-19055 211 16 , , PUNCT bracis-19055 211 17 pp pp ADP bracis-19055 211 18 . . PUNCT bracis-19055 212 1 954–960 954–960 NUM bracis-19055 212 2 . . PUNCT bracis-19055 213 1 ieee ieee NOUN bracis-19055 213 2 ( ( PUNCT bracis-19055 213 3 2016 2016 NUM bracis-19055 213 4 ) ) PUNCT bracis-19055 213 5 google google PROPN bracis-19055 213 6 scholar scholar NOUN bracis-19055 213 7     SPACE bracis-19055 213 8 republica republica NOUN bracis-19055 213 9 , , PUNCT bracis-19055 213 10 p. p. NOUN bracis-19055 213 11 : : PUNCT bracis-19055 213 12 decreto decreto PROPN bracis-19055 213 13 5.355 5.355 NUM bracis-19055 213 14 de de SYM bracis-19055 213 15 25 25 NUM bracis-19055 213 16 de de PROPN bracis-19055 213 17 janeiro janeiro PROPN bracis-19055 213 18 de de PROPN bracis-19055 213 19 2005 2005 NUM bracis-19055 213 20 . . PUNCT bracis-19055 214 1 www.planalto.gov.br/ccivil03/ato2004-2006/2005/decreto/d5355.htm www.planalto.gov.br/ccivil03/ato2004-2006/2005/decreto/d5355.htm PROPN bracis-19055 214 2 . . PUNCT bracis-19055 215 1 accessed access VERB bracis-19055 215 2 7 7 NUM bracis-19055 215 3 may may PROPN bracis-19055 215 4 2021 2021 NUM bracis-19055 215 5 rezapour rezapour VERB bracis-19055 215 6 , , PUNCT bracis-19055 215 7 m. m. NOUN bracis-19055 215 8 : : PUNCT bracis-19055 215 9 anomaly anomaly NOUN bracis-19055 215 10 detection detection NOUN bracis-19055 215 11 using use VERB bracis-19055 215 12 unsupervised unsupervised ADJ bracis-19055 215 13 methods method NOUN bracis-19055 215 14 : : PUNCT bracis-19055 215 15 credit credit NOUN bracis-19055 215 16 card card NOUN bracis-19055 215 17 fraud fraud NOUN bracis-19055 215 18 case case NOUN bracis-19055 215 19 study study NOUN bracis-19055 215 20 . . PUNCT bracis-19055 216 1 int int NOUN bracis-19055 216 2 . . PUNCT bracis-19055 217 1 j. j. PROPN bracis-19055 217 2 adv adv PROPN bracis-19055 217 3 . . PUNCT bracis-19055 218 1 comput comput PROPN bracis-19055 218 2 . . PUNCT bracis-19055 219 1 sci sci PROPN bracis-19055 219 2 . . PUNCT bracis-19055 219 3 appl appl PROPN bracis-19055 219 4 . . PROPN bracis-19055 220 1 10(11 10(11 NUM bracis-19055 220 2 ) ) PUNCT bracis-19055 220 3 , , PUNCT bracis-19055 220 4 1–8 1–8 NUM bracis-19055 220 5 ( ( PUNCT bracis-19055 220 6 2019 2019 NUM bracis-19055 220 7 ) ) PUNCT bracis-19055 220 8 google google NOUN bracis-19055 220 9 scholar scholar NOUN bracis-19055 220 10     SPACE bracis-19055 220 11 da da X bracis-19055 220 12 uniao uniao PROPN bracis-19055 220 13 , , PUNCT bracis-19055 220 14 b.c.g b.c.g NOUN bracis-19055 220 15 . . PUNCT bracis-19055 220 16 : : PUNCT bracis-19055 221 1 portal portal PROPN bracis-19055 221 2 da da PROPN bracis-19055 221 3 transparencia transparencia PROPN bracis-19055 221 4 . . PUNCT bracis-19055 222 1 gastos gastos PROPN bracis-19055 222 2 por por VERB bracis-19055 222 3 cartoes cartoe NOUN bracis-19055 222 4 de de X bracis-19055 222 5 pagamento pagamento PROPN bracis-19055 222 6 . . PROPN bracis-19055 222 7 www.portaltransparencia.gov.br/cartoes?ano=2019 www.portaltransparencia.gov.br/cartoes?ano=2019 PROPN bracis-19055 222 8 . . PUNCT bracis-19055 223 1 accessed access VERB bracis-19055 223 2 27 27 NUM bracis-19055 223 3 june june PROPN bracis-19055 223 4 2020 2020 NUM bracis-19055 223 5 ward ward NOUN bracis-19055 223 6 , , PUNCT bracis-19055 223 7 j.h j.h PROPN bracis-19055 223 8 . . PROPN bracis-19055 223 9 , , PUNCT bracis-19055 223 10 jr jr PROPN bracis-19055 223 11 . . PUNCT bracis-19055 223 12 : : PUNCT bracis-19055 224 1 hierarchical hierarchical ADJ bracis-19055 224 2 grouping grouping NOUN bracis-19055 224 3 to to PART bracis-19055 224 4 optimize optimize VERB bracis-19055 224 5 an an DET bracis-19055 224 6 objective objective ADJ bracis-19055 224 7 function function NOUN bracis-19055 224 8 . . PUNCT bracis-19055 225 1 j. j. PROPN bracis-19055 225 2 am am PROPN bracis-19055 225 3 . . PUNCT bracis-19055 226 1 stat stat PROPN bracis-19055 226 2 . . PUNCT bracis-19055 227 1 assoc assoc PROPN bracis-19055 227 2 . . PUNCT bracis-19055 227 3 58(301 58(301 PROPN bracis-19055 227 4 ) ) PUNCT bracis-19055 227 5 , , PUNCT bracis-19055 227 6 236–244 236–244 NUM bracis-19055 227 7 ( ( PUNCT bracis-19055 227 8 1963 1963 NUM bracis-19055 227 9 ) ) PUNCT bracis-19055 227 10 article article NOUN bracis-19055 227 11     SPACE bracis-19055 227 12 mathscinet mathscinet NOUN bracis-19055 227 13     SPACE bracis-19055 227 14 google google PROPN bracis-19055 227 15 scholar scholar NOUN bracis-19055 227 16     SPACE bracis-19055 227 17 download download NOUN bracis-19055 227 18 references reference NOUN bracis-19055 227 19 author author NOUN bracis-19055 227 20 information information NOUN bracis-19055 227 21 authors author NOUN bracis-19055 227 22 and and CCONJ bracis-19055 227 23 affiliations affiliation NOUN bracis-19055 227 24 brazilian brazilian ADJ bracis-19055 227 25 office office NOUN bracis-19055 227 26 of of ADP bracis-19055 227 27 the the DET bracis-19055 227 28 comptroller comptroller NOUN bracis-19055 227 29 general general NOUN bracis-19055 227 30 ( ( PUNCT bracis-19055 227 31 cgu cgu PROPN bracis-19055 227 32 ) ) PUNCT bracis-19055 227 33 , , PUNCT bracis-19055 227 34 brasilia brasilia PROPN bracis-19055 227 35 , , PUNCT bracis-19055 227 36 brazil brazil PROPN bracis-19055 227 37 breno breno PROPN bracis-19055 227 38 nunes nunes PROPN bracis-19055 227 39 department department PROPN bracis-19055 227 40 of of ADP bracis-19055 227 41 computer computer NOUN bracis-19055 227 42 science science NOUN bracis-19055 227 43 , , PUNCT bracis-19055 227 44 university university NOUN bracis-19055 227 45 of of ADP bracis-19055 227 46 fortaleza fortaleza PROPN bracis-19055 227 47 ( ( PUNCT bracis-19055 227 48 unifor unifor PROPN bracis-19055 227 49 ) ) PUNCT bracis-19055 227 50 , , PUNCT bracis-19055 227 51 fortaleza fortaleza PROPN bracis-19055 227 52 , , PUNCT bracis-19055 227 53 brazil brazil PROPN bracis-19055 227 54 tiago tiago PROPN bracis-19055 227 55 colliri colliri PROPN bracis-19055 227 56 school school NOUN bracis-19055 227 57 of of ADP bracis-19055 227 58 arts art NOUN bracis-19055 227 59 , , PUNCT bracis-19055 227 60 science science NOUN bracis-19055 227 61 and and CCONJ bracis-19055 227 62 humanities humanity NOUN bracis-19055 227 63 , , PUNCT bracis-19055 227 64 university university NOUN bracis-19055 227 65 of of ADP bracis-19055 227 66 sao sao PROPN bracis-19055 227 67 paulo paulo PROPN bracis-19055 227 68 , , PUNCT bracis-19055 227 69 sao sao PROPN bracis-19055 227 70 paulo paulo PROPN bracis-19055 227 71 , , PUNCT bracis-19055 227 72 brazil brazil PROPN bracis-19055 227 73 marcelo marcelo PROPN bracis-19055 227 74 lauretto lauretto PROPN bracis-19055 227 75 school school NOUN bracis-19055 227 76 of of ADP bracis-19055 227 77 computer computer NOUN bracis-19055 227 78 science science NOUN bracis-19055 227 79 , , PUNCT bracis-19055 227 80 zhongyuan zhongyuan PROPN bracis-19055 227 81 university university PROPN bracis-19055 227 82 of of ADP bracis-19055 227 83 technology technology PROPN bracis-19055 227 84 , , PUNCT bracis-19055 227 85 zhengzhou zhengzhou PROPN bracis-19055 227 86 , , PUNCT bracis-19055 227 87 china china PROPN bracis-19055 227 88 weiguang weiguang PROPN bracis-19055 227 89 liu liu PROPN bracis-19055 227 90 faculty faculty PROPN bracis-19055 227 91 of of ADP bracis-19055 227 92 philosophy philosophy NOUN bracis-19055 227 93 , , PUNCT bracis-19055 227 94 science science NOUN bracis-19055 227 95 and and CCONJ bracis-19055 227 96 letters letter NOUN bracis-19055 227 97 , , PUNCT bracis-19055 227 98 university university NOUN bracis-19055 227 99 of of ADP bracis-19055 227 100 sao sao PROPN bracis-19055 227 101 paulo paulo PROPN bracis-19055 227 102 , , PUNCT bracis-19055 227 103 ribeirao ribeirao NOUN bracis-19055 227 104 preto preto NOUN bracis-19055 227 105 , , PUNCT bracis-19055 227 106 brazil brazil PROPN bracis-19055 227 107 liang liang PROPN bracis-19055 227 108 zhao zhao PROPN bracis-19055 227 109 authors author NOUN bracis-19055 227 110 breno breno VERB bracis-19055 227 111 nunesview nunesview PROPN bracis-19055 227 112 author author NOUN bracis-19055 227 113 publications publication NOUN bracis-19055 227 114 search search NOUN bracis-19055 227 115 author author NOUN bracis-19055 227 116 on on ADP bracis-19055 227 117 : : PUNCT bracis-19055 227 118 pubmed pubmed PROPN bracis-19055 227 119     SPACE bracis-19055 227 120 google google PROPN bracis-19055 227 121 scholar scholar PROPN bracis-19055 227 122 tiago tiago PROPN bracis-19055 227 123 colliriview colliriview PROPN bracis-19055 227 124 author author NOUN bracis-19055 227 125 publications publication NOUN bracis-19055 227 126 search search NOUN bracis-19055 227 127 author author NOUN bracis-19055 227 128 on on ADP bracis-19055 227 129 : : PUNCT bracis-19055 227 130 pubmed pubmed PROPN bracis-19055 227 131     SPACE bracis-19055 227 132 google google PROPN bracis-19055 227 133 scholar scholar PROPN bracis-19055 227 134 marcelo marcelo PROPN bracis-19055 227 135 laurettoview laurettoview VERB bracis-19055 227 136 author author NOUN bracis-19055 227 137 publications publication NOUN bracis-19055 227 138 search search NOUN bracis-19055 227 139 author author NOUN bracis-19055 227 140 on on ADP bracis-19055 227 141 : : PUNCT bracis-19055 227 142 pubmed pubmed PROPN bracis-19055 227 143     SPACE bracis-19055 227 144 google google PROPN bracis-19055 227 145 scholar scholar NOUN bracis-19055 227 146 weiguang weiguang PROPN bracis-19055 227 147 liuview liuview PROPN bracis-19055 227 148 author author NOUN bracis-19055 227 149 publications publication NOUN bracis-19055 227 150 search search NOUN bracis-19055 227 151 author author NOUN bracis-19055 227 152 on on ADP bracis-19055 227 153 : : PUNCT bracis-19055 227 154 pubmed pubmed PROPN bracis-19055 227 155     SPACE bracis-19055 227 156 google google PROPN bracis-19055 227 157 scholar scholar PROPN bracis-19055 227 158 liang liang PROPN bracis-19055 227 159 zhaoview zhaoview PROPN bracis-19055 227 160 author author NOUN bracis-19055 227 161 publications publication NOUN bracis-19055 227 162 search search NOUN bracis-19055 227 163 author author NOUN bracis-19055 227 164 on on ADP bracis-19055 227 165 : : PUNCT bracis-19055 227 166 pubmed pubmed PROPN bracis-19055 227 167     SPACE bracis-19055 227 168 google google PROPN bracis-19055 227 169 scholar scholar NOUN bracis-19055 227 170 corresponding correspond VERB bracis-19055 227 171 author author NOUN bracis-19055 227 172 correspondence correspondence NOUN bracis-19055 227 173 to to ADP bracis-19055 227 174 tiago tiago PROPN bracis-19055 227 175 colliri colliri PROPN bracis-19055 227 176 . . PUNCT bracis-19055 228 1 editor editor NOUN bracis-19055 228 2 information information NOUN bracis-19055 228 3 editors editor NOUN bracis-19055 228 4 and and CCONJ bracis-19055 228 5 affiliations affiliation NOUN bracis-19055 228 6 universidade universidade PROPN bracis-19055 228 7 federal federal PROPN bracis-19055 228 8 de de X bracis-19055 228 9 sergipe sergipe PROPN bracis-19055 228 10 , , PUNCT bracis-19055 228 11 são são NOUN bracis-19055 228 12 cristóvão cristóvão PROPN bracis-19055 228 13 , , PUNCT bracis-19055 228 14 brazil brazil PROPN bracis-19055 228 15 andré andré PROPN bracis-19055 228 16 britto britto PROPN bracis-19055 228 17 universidade universidade PROPN bracis-19055 228 18 de de PROPN bracis-19055 228 19 são são PROPN bracis-19055 228 20 paulo paulo PROPN bracis-19055 228 21 , , PUNCT bracis-19055 228 22 são são PROPN bracis-19055 228 23 paulo paulo PROPN bracis-19055 228 24 , , PUNCT bracis-19055 228 25 brazil brazil PROPN bracis-19055 228 26 karina karina PROPN bracis-19055 228 27 valdivia valdivia PROPN bracis-19055 228 28 delgado delgado VERB bracis-19055 228 29 rights right NOUN bracis-19055 228 30 and and CCONJ bracis-19055 228 31 permissions permission NOUN bracis-19055 228 32 reprints reprint NOUN bracis-19055 228 33 and and CCONJ bracis-19055 228 34 permissions permission VERB bracis-19055 228 35 copyright copyright NOUN bracis-19055 228 36 information information NOUN bracis-19055 228 37 © © PROPN bracis-19055 228 38 2021 2021 NUM bracis-19055 228 39 springer springer NOUN bracis-19055 228 40 nature nature NOUN bracis-19055 228 41 switzerland switzerland PROPN bracis-19055 228 42 ag ag PROPN bracis-19055 228 43 about about ADP bracis-19055 228 44 this this DET bracis-19055 228 45 paper paper NOUN bracis-19055 228 46 cite cite VERB bracis-19055 228 47 this this DET bracis-19055 228 48 paper paper NOUN bracis-19055 228 49 nunes nune NOUN bracis-19055 228 50 , , PUNCT bracis-19055 228 51 b. b. PROPN bracis-19055 228 52 , , PUNCT bracis-19055 228 53 colliri colliri PROPN bracis-19055 228 54 , , PUNCT bracis-19055 228 55 t. t. PROPN bracis-19055 228 56 , , PUNCT bracis-19055 228 57 lauretto lauretto NOUN bracis-19055 228 58 , , PUNCT bracis-19055 228 59 m. m. NOUN bracis-19055 228 60 , , PUNCT bracis-19055 228 61 liu liu PROPN bracis-19055 228 62 , , PUNCT bracis-19055 228 63 w. w. PROPN bracis-19055 228 64 , , PUNCT bracis-19055 228 65 zhao zhao PROPN bracis-19055 228 66 , , PUNCT bracis-19055 228 67 l. l. PROPN bracis-19055 228 68 ( ( PUNCT bracis-19055 228 69 2021 2021 NUM bracis-19055 228 70 ) ) PUNCT bracis-19055 228 71 . . PUNCT bracis-19055 229 1 anomaly anomaly PROPN bracis-19055 229 2 detection detection NOUN bracis-19055 229 3 in in ADP bracis-19055 229 4 brazilian brazilian ADJ bracis-19055 229 5 federal federal ADJ bracis-19055 229 6 government government NOUN bracis-19055 229 7 purchase purchase NOUN bracis-19055 229 8 cards card NOUN bracis-19055 229 9 through through ADP bracis-19055 229 10 unsupervised unsupervised ADJ bracis-19055 229 11 learning learning NOUN bracis-19055 229 12 techniques technique NOUN bracis-19055 229 13 . . PUNCT bracis-19055 230 1 in in ADP bracis-19055 230 2 : : PUNCT bracis-19055 230 3 britto britto PROPN bracis-19055 230 4 , , PUNCT bracis-19055 230 5 a. a. PROPN bracis-19055 230 6 , , PUNCT bracis-19055 230 7 valdivia valdivia PROPN bracis-19055 230 8 delgado delgado PROPN bracis-19055 230 9 , , PUNCT bracis-19055 230 10 k. k. PROPN bracis-19055 230 11 ( ( PUNCT bracis-19055 230 12 eds eds PROPN bracis-19055 230 13 ) ) PUNCT bracis-19055 230 14 intelligent intelligent ADJ bracis-19055 230 15 systems system NOUN bracis-19055 230 16 . . PUNCT bracis-19055 231 1 bracis bracis PROPN bracis-19055 231 2 2021 2021 NUM bracis-19055 231 3 . . PUNCT bracis-19055 232 1 lecture lecture NOUN bracis-19055 232 2 notes note NOUN bracis-19055 232 3 in in ADP bracis-19055 232 4 computer computer NOUN bracis-19055 232 5 science science NOUN bracis-19055 232 6 ( ( PUNCT bracis-19055 232 7 ) ) PUNCT bracis-19055 232 8 , , PUNCT bracis-19055 232 9 vol vol NOUN bracis-19055 232 10 13074 13074 NUM bracis-19055 232 11 . . PUNCT bracis-19055 233 1 springer springer NOUN bracis-19055 233 2 , , PUNCT bracis-19055 233 3 cham cham PROPN bracis-19055 233 4 . . PUNCT bracis-19055 234 1 https://doi.org/10.1007/978-3-030-91699-2_2 https://doi.org/10.1007/978-3-030-91699-2_2 PRON bracis-19055 234 2 download download NOUN bracis-19055 234 3 citation citation NOUN bracis-19055 234 4 .ris .ris PUNCT bracis-19055 234 5 .enw .enw PROPN bracis-19055 234 6 .bib .bib PUNCT bracis-19055 235 1 doi doi PROPN bracis-19055 235 2 : : PUNCT bracis-19055 235 3 https://doi.org/10.1007/978-3-030-91699-2_2 https://doi.org/10.1007/978-3-030-91699-2_2 PRON bracis-19055 235 4 published publish VERB bracis-19055 235 5 : : PUNCT bracis-19055 235 6 28 28 NUM bracis-19055 235 7 november november PROPN bracis-19055 235 8 2021 2021 NUM bracis-19055 235 9 publisher publisher NOUN bracis-19055 235 10 name name NOUN bracis-19055 235 11 : : PUNCT bracis-19055 235 12 springer springer NOUN bracis-19055 235 13 , , PUNCT bracis-19055 235 14 cham cham PROPN bracis-19055 235 15 print print PROPN bracis-19055 235 16 isbn isbn PROPN bracis-19055 235 17 : : PUNCT bracis-19055 235 18 978 978 NUM bracis-19055 235 19 - - SYM bracis-19055 235 20 3 3 NUM bracis-19055 235 21 - - PUNCT bracis-19055 235 22 030 030 NUM bracis-19055 235 23 - - PUNCT bracis-19055 235 24 91698 91698 NUM bracis-19055 235 25 - - SYM bracis-19055 235 26 5 5 NUM bracis-19055 235 27 online online ADJ bracis-19055 235 28 isbn isbn NOUN bracis-19055 235 29 : : PUNCT bracis-19055 235 30 978 978 NUM bracis-19055 235 31 - - SYM bracis-19055 235 32 3 3 NUM bracis-19055 235 33 - - PUNCT bracis-19055 235 34 030 030 NUM bracis-19055 235 35 - - PUNCT bracis-19055 235 36 91699 91699 NUM bracis-19055 235 37 - - SYM bracis-19055 235 38 2 2 NUM bracis-19055 235 39 ebook ebook NOUN bracis-19055 235 40 packages package NOUN bracis-19055 235 41 : : PUNCT bracis-19055 235 42 computer computer NOUN bracis-19055 235 43 sciencecomputer sciencecomputer NOUN bracis-19055 235 44 science science NOUN bracis-19055 235 45 ( ( PUNCT bracis-19055 235 46 r0 r0 NOUN bracis-19055 235 47 ) ) PUNCT bracis-19055 235 48 share share VERB bracis-19055 235 49 this this DET bracis-19055 235 50 paper paper NOUN bracis-19055 235 51 anyone anyone PRON bracis-19055 235 52 you you PRON bracis-19055 235 53 share share VERB bracis-19055 235 54 the the DET bracis-19055 235 55 following follow VERB bracis-19055 235 56 link link NOUN bracis-19055 235 57 with with ADP bracis-19055 235 58 will will AUX bracis-19055 235 59 be be AUX bracis-19055 235 60 able able ADJ bracis-19055 235 61 to to PART bracis-19055 235 62 read read VERB bracis-19055 235 63 this this DET bracis-19055 235 64 content content NOUN bracis-19055 235 65 : : PUNCT bracis-19055 235 66 get get VERB bracis-19055 235 67 shareable shareable ADJ bracis-19055 235 68 linksorry linksorry NOUN bracis-19055 235 69 , , PUNCT bracis-19055 235 70 a a DET bracis-19055 235 71 shareable shareable ADJ bracis-19055 235 72 link link NOUN bracis-19055 235 73 is be AUX bracis-19055 235 74 not not PART bracis-19055 235 75 currently currently ADV bracis-19055 235 76 available available ADJ bracis-19055 235 77 for for ADP bracis-19055 235 78 this this DET bracis-19055 235 79 article article NOUN bracis-19055 235 80 . . PUNCT bracis-19055 236 1 copy copy VERB bracis-19055 236 2 shareable shareable ADJ bracis-19055 236 3 link link NOUN bracis-19055 236 4 to to PART bracis-19055 236 5 clipboard clipboard NOUN bracis-19055 236 6 provided provide VERB bracis-19055 236 7 by by ADP bracis-19055 236 8 the the DET bracis-19055 236 9 springer springer NOUN bracis-19055 236 10 nature nature PROPN bracis-19055 236 11 sharedit sharedit PROPN bracis-19055 236 12 content content NOUN bracis-19055 236 13 - - PUNCT bracis-19055 236 14 sharing share VERB bracis-19055 236 15 initiative initiative NOUN bracis-19055 236 16 keywords keyword NOUN bracis-19055 236 17 anomaly anomaly VERB bracis-19055 236 18 detection detection NOUN bracis-19055 236 19 government government NOUN bracis-19055 236 20 purchase purchase NOUN bracis-19055 236 21 cards card NOUN bracis-19055 236 22 unsupervised unsupervised ADJ bracis-19055 236 23 learning learn VERB bracis-19055 236 24 complex complex ADJ bracis-19055 236 25 networks network NOUN bracis-19055 236 26 . . 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