Graph Regularized Non-negative Matrix Factorization with Sparseness Constraints

Yang Bing-ru · 2013

Nonnegative matrix factorization(NMF) is based on part feature extraction algorithm which adds nonnegative constraint into matrix factorization.A method called graph regularized non-negative matrix factorization with sparseness constraints(GNMFSC)was proposed for enhancing the classification accuracy.It not only considers the geometric structure in the data representation,but also introduces sparseness constraint to coefficient matrix and integrates them into one single objective function.An efficient multiplicative updating procedure was produced along with its theoretic justification of the algorithmic convergence.Experiments on ORL and MIT-CBCL face recognition databases demonstrate the effectiveness of the proposed method.

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