Sparse Super Symmetric Tensor Factorization

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Sparse Super Symmetric Tensor Factorization
In the paper we derive and discuss a wide class of algorithms for 3D Super-symmetric nonnegative Tensor Factorization (SNTF) or nonnegative symmetric PARAFAC, and as a special case: Symmetric Nonnegative Matrix Factorization (SNMF) that have many potential applications, including multi-way clustering, feature extraction, multisensory or multi-dimensional data analysis, and nonnegative neural sparse coding. The main advantage of the derived algorithms is relatively low complexity and, in the case of multiplicative algorithms possibility for straightforward extension of the algorithms to L-order tensors factorization due to some nice symmetric property. We also propose also to use a wide class of cost functions such as Squared Euclidean, Kullback Leibler I-divergence, Alpha divergence and Beta divergence. Preliminary experimental results confirm the validity and good performance of some of these algorithms, especially when the data have sparse representations.
Andrzej Cichocki, Marko Jankovic, Rafal Zdunek, Sh
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Authors Andrzej Cichocki, Marko Jankovic, Rafal Zdunek, Shun-ichi Amari
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