Journal
JOURNAL OF CHEMOMETRICS
Volume 23, Issue 7-8, Pages 393-405Publisher
WILEY
DOI: 10.1002/cem.1236
Keywords
tensor rank; PARAFAC; canonical decomposition; three-way array; degeneracy; computational complexity
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Funding
- [ANR-06-BLAN-0074]
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This work was originally motivated by a classification of tensors proposed by Richard Harshman. In particular, we focus on simple and multiple 'bottlenecks', and on 'swamps'. Existing theoretical results are surveyed, some numerical algorithms are described in details, and their numerical complexity is calculated. In particular, the interest in using the enhanced line search (ELS) enhancement in these algorithms is discussed. Computer simulations feed this discussion. Copyright (C) 2009 John Wiley & Sons, Ltd.
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