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Non-iterative solution for PARAFAC with a Toeplitz matrix factor

Abstract : Recently, tensor signal processing has received an increased attention, particularly in the context of wireless communication applications. The so-called PARAllel FACtor (PARAFAC) decomposition is certainly the most used tensor tool. In general, the parameter estimation of a PARAFAC decomposition is carried out by means of the iterative ALS algorithm, which exhibits the following main drawbacks: convergence towards local minima, a high number of iterations for convergence, and difficulty to take, optimally, special matrix structures into account. In this paper, we propose a non-iterative parameter estimation method for a PARAFAC decomposition when one matrix factor has a Toeplitz structure, a situation that is commonly encountered in signal processing applications. We illustrate the proposed method by means of simulation results.
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https://hal.archives-ouvertes.fr/hal-00397808
Contributor : Alain Kibangou <>
Submitted on : Tuesday, June 23, 2009 - 12:20:28 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:34 PM
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  • HAL Id : hal-00397808, version 1

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Alain Y. Kibangou, Gérard Favier. Non-iterative solution for PARAFAC with a Toeplitz matrix factor. 17th European Signal Processing Conference (EUSIPCO-2009), Aug 2009, Glasgow, United Kingdom. pp.691-695. ⟨hal-00397808⟩

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