IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Smart Multimedia & Communication Systems
Derivation of Update Rules for Convolutive NMF Based on Squared Euclidean Distance, KL Divergence, and IS Divergence
Hiroki TANJIRyo TANAKAKyohei TABATAYoshito ISEKITakahiro MURAKAMIYoshihisa ISHIDA
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2014 年 E97.A 巻 11 号 p. 2121-2129

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In this paper, we present update rules for convolutive nonnegative matrix factorization (NMF) in which cost functions are based on the squared Euclidean distance, the Kullback-Leibler (KL) divergence and the Itakura-Saito (IS) divergence. We define an auxiliary function for each cost function and derive the update rule. We also apply this method to the single-channel signal separation in speech signals. Experimental results showed that the convergence of our KL divergence-based method was better than that in the conventional method, and our method achieved single-channel signal separation successfully.
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© 2014 The Institute of Electronics, Information and Communication Engineers
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