notesum.ai

Published at December 5

Learnable Similarity and Dissimilarity Guided Symmetric Non-Negative Matrix Factorization

cs.LG

Released Date: December 5, 2024

Authors: Wenlong Lyu¹, Yuheng Jia¹

Aff.: ¹Southeast University

Arxiv: http://arxiv.org/pdf/2412.04082v1

ACC	SEEDS	YaleB	ORL	CHART	USPS-1000	COIL20	MNIST-2000	Semeion
SymNMF	$0.658\pm 0.126$	$0.458\pm 0.018$	$0.616\pm 0.022$	$0.632\pm 0.059$	$0.514\pm 0.041$	$0.503\pm 0.038$	$0.535\pm 0.042$	$0.547\pm 0.066$
ANLS	$0.753\pm 0.132$	$0.459\pm 0.017$	$0.614\pm 0.013$	$0.643\pm 0.056$	$0.531\pm 0.044$	$0.557\pm 0.037$	$0.567\pm 0.053$	$0.576\pm 0.052$
sBSUM	$0.840\pm 0.029$	$0.461\pm 0.013$	$0.620\pm 0.014$	$0.595\pm 0.057$	$0.562\pm 0.047$	$0.644\pm 0.066$	$0.565\pm 0.067$	$0.615\pm 0.060$
PHALS	$0.789\pm 0.120$	$0.467\pm 0.015$	$0.621\pm 0.015$	$0.646\pm 0.062$	$0.532\pm 0.041$	$0.658\pm 0.043$	$0.603\pm 0.051$	$0.594\pm 0.043$
GSNMF	$0.647\pm 0.092$	$0.455\pm 0.024$	$0.620\pm 0.017$	$0.647\pm 0.087$	$0.498\pm 0.050$	$0.504\pm 0.034$	$0.493\pm 0.043$	$0.495\pm 0.038$
NMFAN^‡	$0.876\pm 0.008$	$0.450\pm 0.017$	$0.678\pm 0.007$	$0.627\pm 0.075$	$0.463\pm 0.029$	$0.660\pm 0.016$	$0.516\pm 0.044$	$0.611\pm 0.044$
CGSymNMF^‡	$0.755\pm 0.109$	$0.459\pm 0.032$	$0.621\pm 0.025$	$0.661\pm 0.080$	$0.487\pm 0.042$	$0.591\pm 0.048$	$0.506\pm 0.042$	$0.480\pm 0.037$
RBSMF^‡	$0.897\pm 0.012$	$0.462\pm 0.014$	$0.645\pm 0.007$	$0.568\pm 0.000$	$0.571\pm 0.002$	$0.800\pm 0.000$	$0.665\pm 0.011$	$0.637\pm 0.041$
S³NMF^‡	$0.835\pm 0.041$	$0.450\pm 0.008$	$0.617\pm 0.007$	$0.829\pm 0.016$	$0.650\pm 0.021$	$0.781\pm 0.015$	$0.664\pm 0.020$	$0.704\pm 0.017$
proposed^‡	$0.887\pm 0.016$	$0.539\pm 0.020$	$0.683\pm 0.014$	$0.733\pm 0.057$	$0.610\pm 0.027$	$0.833\pm 0.015$	$0.698\pm 0.023$	$0.734\pm 0.055$
NMI	SEEDS	YaleB	ORL	CHART	USPS-1000	COIL20	MNIST-2000	Semeion
SymNMF	$0.400\pm 0.147$	$0.522\pm 0.017$	$0.789\pm 0.010$	$0.710\pm 0.066$	$0.529\pm 0.030$	$0.689\pm 0.021$	$0.523\pm 0.026$	$0.553\pm 0.043$
ANLS	$0.551\pm 0.143$	$0.526\pm 0.012$	$0.787\pm 0.007$	$0.767\pm 0.041$	$0.553\pm 0.028$	$0.743\pm 0.027$	$0.562\pm 0.042$	$0.585\pm 0.036$
sBSUM	$0.646\pm 0.029$	$0.527\pm 0.009$	$0.791\pm 0.007$	$0.784\pm 0.040$	$0.578\pm 0.030$	$0.833\pm 0.026$	$0.620\pm 0.041$	$0.632\pm 0.026$
PHALS	$0.580\pm 0.141$	$0.530\pm 0.008$	$0.789\pm 0.007$	$0.790\pm 0.028$	$0.568\pm 0.023$	$0.819\pm 0.024$	$0.613\pm 0.036$	$0.617\pm 0.022$
GSNMF	$0.392\pm 0.091$	$0.522\pm 0.017$	$0.786\pm 0.009$	$0.714\pm 0.053$	$0.508\pm 0.042$	$0.678\pm 0.025$	$0.423\pm 0.041$	$0.488\pm 0.030$
NMFAN^‡	$0.642\pm 0.014$	$0.501\pm 0.014$	$0.830\pm 0.006$	$0.626\pm 0.025$	$0.445\pm 0.037$	$0.756\pm 0.017$	$0.457\pm 0.027$	$0.554\pm 0.031$
CGSymNMF^‡	$0.548\pm 0.096$	$0.522\pm 0.021$	$0.800\pm 0.013$	$0.704\pm 0.065$	$0.495\pm 0.041$	$0.769\pm 0.031$	$0.501\pm 0.036$	$0.465\pm 0.035$
RBSMF^‡	$0.687\pm 0.021$	$0.534\pm 0.003$	$0.806\pm 0.004$	$0.801\pm 0.001$	$0.627\pm 0.002$	$0.892\pm 0.000$	$0.654\pm 0.008$	$0.649\pm 0.016$
S³NMF^‡	$0.647\pm 0.055$	$0.512\pm 0.006$	$0.787\pm 0.004$	$0.809\pm 0.017$	$0.625\pm 0.016$	$0.860\pm 0.007$	$0.636\pm 0.015$	$0.665\pm 0.011$
proposed^‡	$0.709\pm 0.021$	$0.586\pm 0.012$	$0.846\pm 0.006$	$0.809\pm 0.011$	$0.627\pm 0.015$	$0.923\pm 0.012$	$0.691\pm 0.011$	$0.678\pm 0.021$