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» Uniqueness of Nonnegative Tensor Approximations
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ISCAS
2008
IEEE
217views Hardware» more  ISCAS 2008»
14 years 2 months ago
Approximate L0 constrained non-negative matrix and tensor factorization
— Non-negative matrix factorization (NMF), i.e. V ≈ WH where both V, W and H are non-negative has become a widely used blind source separation technique due to its part based r...
Morten Mørup, Kristoffer Hougaard Madsen, L...
IPMI
2011
Springer
12 years 11 months 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
ICCV
2005
IEEE
14 years 9 months ago
Sparse Image Coding Using a 3D Non-Negative Tensor Factorization
We introduce an algorithm for a non-negative 3D tensor factorization for the purpose of establishing a local parts feature decomposition from an object class of images. In the pas...
Tamir Hazan, Simon Polak, Amnon Shashua
ICASSP
2011
IEEE
12 years 11 months ago
Nonnegative 3-way tensor factorization via conjugate gradient with globally optimal stepsize
This paper deals with the minimal polyadic decomposition (also known as canonical decomposition or Parafac) of a 3way array, assuming each entry is positive. In this case, the low...
Jean-Philip Royer, Pierre Comon, Nadège Thi...
CORR
2008
Springer
118views Education» more  CORR 2008»
13 years 7 months ago
Descent methods for Nonnegative Matrix Factorization
In this paper, we present several descent methods that can be applied to nonnegative matrix factorization and we analyze a recently developped fast block coordinate method. We als...
Ngoc-Diep Ho, Paul Van Dooren, Vincent D. Blondel