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» Uniqueness of Nonnegative Tensor Approximations
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ISCAS
2008
IEEE
217views Hardware» more  ISCAS 2008»
13 years 11 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 8 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 6 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 8 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 4 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