Results 141 to 150 of about 59,171 (165)

Fast Decomposition of Large Nonnegative Tensors

IEEE Signal Processing Letters, 2015
International audienceIn Signal processing, tensor decompositions have gained in popularity this last decade. In the meantime, the volume of data to be processed has drastically increased. This calls for novel methods to handle Big Data tensors.
Jeremy E Cohen, Pierre Comon
exaly   +2 more sources

Semialgebraic Geometry of Nonnegative Tensor Rank

SIAM Journal on Matrix Analysis and Applications, 2016
International audienceWe study the semialgebraic structure of $D_r$, the set of nonnegative tensors of nonnegative rank not more than $r$, and use the results to infer various properties of nonnegative tensor rank.
Pierre Comon, Lek-Heng Lim
exaly   +2 more sources

A fast algorithm for the spectral radii of weakly reducible nonnegative tensors

Numerical Linear Algebra With Applications, 2018
Copyright © 2017 John Wiley & Sons, Ltd. In this paper, we propose a fast algorithm for computing the spectral radii of symmetric nonnegative tensors.
Liqun Qi, Guanglu Zhou
exaly   +1 more source

Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor [PDF]

Frontiers of Mathematics in China, 2013
Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition.
Liqun Qi, Guanglu Zhou, Soon-Yi Wu
exaly   +3 more sources

Uniqueness of Nonnegative Tensor Approximations

IEEE Transactions on Information Theory, 2016
International audienceWe show that for a nonnegative tensor, a best nonnegative rank-$r$ approximation is almost always unique, its best rank-one approximation may always be chosen to be a best nonnegative rank-one approximation, and that the set of ...
Pierre Comon, Lek-Heng Lim
exaly   +2 more sources