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Learning Dictionaries as Sums of Kronecker Products

Abstract : The choice of an appropriate dictionary is a crucial step in the sparse representation of a given class of signals. Traditional dictionary learning techniques generally lead to unstructured dictionaries which are costly to deploy and do not scale well to higher dimensional signals. In order to overcome such limitation, we propose a learning algorithm that constrains the dictionary to be a sum of Kronecker products of smaller sub-dictionaries. A special case of the proposed structure is the widespread separable dictionary. This approach, named SuKro, is evaluated experimentally on an image denoising application.
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https://hal.inria.fr/hal-01514044
Contributor : Cassio F. Dantas <>
Submitted on : Tuesday, April 25, 2017 - 3:43:19 PM
Last modification on : Thursday, January 7, 2021 - 4:19:35 PM
Long-term archiving on: : Wednesday, July 26, 2017 - 2:26:45 PM

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  • HAL Id : hal-01514044, version 1

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Cassio Fraga Dantas, Rémi Gribonval, Renato Lopes, Michele da Costa. Learning Dictionaries as Sums of Kronecker Products. SPARS 2017 - Signal Processing with Adaptive Sparse Structured Representations workshop, Jun 2017, Lisbon, Portugal. ⟨hal-01514044⟩

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