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» Uniqueness of Nonnegative Tensor Approximations
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ICASSP
2011
IEEE
12 years 9 months ago
Computing the nonnegative 3-way tensor factorization using Tikhonov regularization
This paper deals with the minimum polyadic decomposition of a nonnegative three-way array. The main advantage of the nonnegativity constraint is that the approximation problem bec...
Jean-Philip Royer, Pierre Comon, Nadège Thi...
ICASSP
2011
IEEE
12 years 9 months ago
Fast damped gauss-newton algorithm for sparse and nonnegative tensor factorization
Alternating optimization algorithms for canonical polyadic decomposition (with/without nonnegative constraints) often accompany update rules with low computational cost, but could...
Anh Huy Phan, Petr Tichavský, Andrzej Cicho...
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 6 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
ICA
2012
Springer
12 years 1 months ago
On Revealing Replicating Structures in Multiway Data: A Novel Tensor Decomposition Approach
A novel tensor decomposition called pattern or P-decomposition is proposed to make it possible to identify replicating structures in complex data, such as textures and patterns in ...
Anh Huy Phan, Andrzej Cichocki, Petr Tichavsk&yacu...
STOC
2012
ACM
221views Algorithms» more  STOC 2012»
11 years 8 months ago
From query complexity to computational complexity
We consider submodular optimization problems, and provide a general way of translating oracle inapproximability results arising from the symmetry gap technique to computational co...
Shahar Dobzinski, Jan Vondrák