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CORR
2010
Springer
200views Education» more  CORR 2010»
13 years 4 months ago
A Multilevel Approach For Nonnegative Matrix Factorization
Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particul...
Nicolas Gillis, François Glineur
ICASSP
2011
IEEE
12 years 8 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
13 years 10 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
ICASSP
2011
IEEE
12 years 8 months ago
Stability analysis of multiplicative update algorithms for non-negative matrix factorization
Multiplicative update algorithms have encountered a great success to solve optimization problems with non-negativity constraints, such as the famous non-negative matrix factorizat...
Roland Badeau, Nancy Bertin, Emmanuel Vincent