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ICASSP
2011
IEEE
14 years 1 months ago
Novel hierarchical ALS algorithm for nonnegative tensor factorization
The multiplicative algorithms are well-known for nonnegative matrix and tensor factorizations. The ALS algorithm for canonical decomposition (CP) has been proved as a “workhorse...
Anh Huy Phan, Andrzej Cichocki, Kiyotoshi Matsuoka...
ICA
2007
Springer
15 years 3 months ago
Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization
In the paper we present new Alternating Least Squares (ALS) algorithms for Nonnegative Matrix Factorization (NMF) and their extensions to 3D Nonnegative Tensor Factorization (NTF) ...
Andrzej Cichocki, Rafal Zdunek, Shun-ichi Amari
ICANNGA
2007
Springer
191views Algorithms» more  ICANNGA 2007»
15 years 3 months ago
Novel Multi-layer Non-negative Tensor Factorization with Sparsity Constraints
In this paper we present a new method of 3D non-negative tensor factorization (NTF) that is robust in the presence of noise and has many potential applications, including multi-way...
Andrzej Cichocki, Rafal Zdunek, Seungjin Choi, Rob...
IPMI
2011
Springer
14 years 28 days ago
Nonnegative Factorization of Diffusion Tensor Images and Its Applications
This paper proposes a novel method for computing linear basis images from tensor-valued image data. As a generalization of the nonnegative matrix factorization, the proposed method...
Yuchen Xie, Jeffrey Ho, Baba C. Vemuri