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Combined Deflation and Alternating Projections for Column-Wise Orthogonal Canonical Polyadic Tensor Decomposition

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Abstract

The method of alternating projections is an efficient solution to a wide range of optimisation problems. Some important results on its local convergence motivate its usage in a number of applications. We propose an algorithm, combining deflation and alternating projections, to compute the column-wise orthogonal CP decomposition for three-way tensors. We present convergence results based on transversality and non-tangential concepts. To assess its performance, we draw numerical experiments for real and complex scenarios.
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Dates and versions

hal-01567411 , version 1 (23-07-2017)

Identifiers

  • HAL Id : hal-01567411 , version 1

Cite

Alex P da Silva, Pierre Comon, André L F de Almeida. Combined Deflation and Alternating Projections for Column-Wise Orthogonal Canonical Polyadic Tensor Decomposition. 2016. ⟨hal-01567411⟩
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