id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fcis-32254	Zhou, Ran; Li, Jianlei	Application of Sparse Kernel Graph-regularized Discriminant Non-negative Matrix Factorization in Image Clustering	2025	4	.pdf	application/pdf	2864	136	56	For an element ijv in matrix V (from the objective function), the formulas for the first-order partial derivative ' ijv M and the second-order partial derivative '' ijv M of the objective function with respect to ijv can be obtained as follows: ' ( 2 2 2 2 2 ) ij T v XU UU T l ij M K VK Q A V A A LV            (12) '' 2( ) 2 ( ) 2 , 2( ) 2 ,ij T UU jj jj ii The model of the algorithm is presented as follows: 2 2 l 0, 0 2 0 1 min ( ) ( ) Tr( ) T T F FU V T F X U V Q AV V LV U U V                (1) Similar to the standard NMF model, the optimization problem of solving U and V simultaneously is non-convex.	cache/fcis-32254.pdf	txt/fcis-32254.txt