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• W2337874762 abstract "In this paper we derive a family of new extended SMART (Simultaneous Multiplicative Algebraic Reconstruction Technique) al- gorithms for Non-negative Matrix Factorization (NMF). The proposed algorithms are characterized by improved efficiency and convergence rate and can be applied for various distributions of data and additive noise. Information theory and information geometry play key roles in the derivation of new algorithms. We discuss several loss functions used in information theory which allow us to obtain generalized forms of mul- tiplicative NMF learning adaptive algorithms. We also provide flexible and relaxed forms of the NMF algorithms to increase convergence speed and impose an additional constraint of sparsity. The scope of these re- sults is vast since discussed generalized divergence functions include a large number of useful loss functions such as the Amari α -d ivergence, Relative entropy, Bose-Einstein divergence, Jensen-Shannon divergence, J-divergence, Arithmetic-Geometric (AG) Taneja divergence, etc. We applied the developed algorithms successfully to Blind (or semi blind) Source Separation (BSS) where sources may be generally statistically dependent, however are subject to additional constraints such as non- negativity and sparsity. Moreover, we applied a novel multilayer NMF strategy which improves performance of the most proposed algorithms." @default.
• W2337874762 created "2016-06-24" @default.
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• W2337874762 date "2006-01-01" @default.
• W2337874762 modified "2023-10-16" @default.
• W2337874762 title "Extended SMART Algorithms for Non-negative" @default.
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• W2337874762 hasPublicationYear "2006" @default.
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