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• W2910059284 abstract "This paper is for addressing the nonnegative sparse representation problem, i.e. to represent a nonnegative matrix as an over complete nonnegative dictionary times a nonnegative coefficient matrix. Many data in the real world can be represented sparsely by combinations of typical features. Moreover, large family of nonnegative data, such as image pixels, word frequency, power spectrum etc., are in great demand for engineering problems. Nonnegative Sparse Representation (NSR) is attractive to nonnegative data analysis. In this study, Overcomplete dictionary learning for NSR with an l_p-norm (0 < p <1) is proposed and the l_p-norm is expected for leading a sparser solution than l_1-norm. An l_p-norm is non-convex, then l_p-norm was approximated by weighted l_1-norm for convex optimization. We performed experiments about recovering accuracies of dictionary and coefficients. The recovering ratio is evaluated for various sparse levels of coefficients. The average of recovery ratios by proposed method for each sparse level were higher compared with an unweighted l_1-norm. It improved +15.37% at most. We have shown that the proposed method also has advantages in recovering sparseness, l_2 relative error and support distance of coefficients etc." @default.
• W2910059284 created "2019-01-25" @default.
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• W2910059284 date "2018-10-01" @default.
• W2910059284 modified "2023-09-26" @default.
• W2910059284 title "Overcomplete Dictionary Learning for Nonnegative Sparse Representation with an ℓ_p-Norm Constraint Based on Majorize-Minimization" @default.
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• W2910059284 doi "https://doi.org/10.1109/smc.2018.00566" @default.
• W2910059284 hasPublicationYear "2018" @default.
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