Non-Negative Tensor Factorization using Alpha and Beta Divergences

Andrzej Cichocki, Rafal Zdunek, Seungjin Choi, Robert Plemmons, Shun-ichi Amari
2007 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07  
In this paper we propose new algorithms for 3D tensor decomposition/factorization with many potential applications, especially in multi-way Blind Source Separation (BSS), multidimensional data analysis, and sparse signal/image representations. We derive and compare three classes of algorithms: Multiplicative, Fixed-Point Alternating Least Squares (FPALS) and Alternating Interior-Point Gradient (AIPG) algorithms. Some of the proposed algorithms are characterized by improved robustness,
more » ... bustness, efficiency and convergence rates and can be applied for various distributions of data and additive noise.
doi:10.1109/icassp.2007.367106 dblp:conf/icassp/CichockiZCPA07 fatcat:jgl7krnhtba3rbie3j63hn63zu