Journal
SIGNAL PROCESSING
Volume 131, Issue -, Pages 143-153Publisher
ELSEVIER
DOI: 10.1016/j.sigpro.2016.08.011
Keywords
Nonnegative matrix factorization; Online learning; Kernel machines; Hyperspectral unmixing
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Funding
- French ANR [ANR-12BS03-0033]
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Nonnegative matrix factorization (NMF) has become a prominent signal processing and data analysis technique. To address streaming data, online methods for NMF have been introduced recently, mainly restricted to the linear model. In this paper, we propose a framework for online nonlinear NMF, where the factorization is conducted in a kernel-induced feature space. By exploring recent advances in the stochastic gradient descent and the mini-batch strategies, the proposed algorithms have a controlled computational complexity. We derive several general update rules, in additive and multiplicative strategies, and detail the case of the Gaussian kernel. The performance of the proposed framework is validated on unmixing synthetic and real hyperspectral images, comparing to state-of-the-art techniques. (C) 2016 Elsevier B.V. All rights reserved.
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