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Atom selection in continuous dictionaries : reconciling polar and SVD approximations
Abstract : This paper deals with efficient atom selection procedure in a continuous dictionary, as required for instance in a Frank-Wolfe approach within a BLASSO problem for the one-dimensional deconvolution problem. We show that efficient maximization of a correlation between any given vector and an atom sweeping a continuous dictionary can be performed through a particular piece-wise linear approximation of dictionaries: the polar approximation. We finally identify the polar approximation as being optimal in a mean square error sense for dictionaries with raised-cosine Toeplitz kernels.
Cited literature [15 references]
https://hal.inria.fr/hal-02059703
Contributor : Cédric Herzet Connect in order to contact the contributor
Submitted on : Wednesday, March 6, 2019 - 6:54:26 PM
Last modification on : Friday, May 20, 2022 - 9:04:50 AM
Long-term archiving on: : Friday, June 7, 2019 - 6:54:57 PM
Contributor : Cédric Herzet Connect in order to contact the contributor
Submitted on : Wednesday, March 6, 2019 - 6:54:26 PM
Last modification on : Friday, May 20, 2022 - 9:04:50 AM
Long-term archiving on: : Friday, June 7, 2019 - 6:54:57 PM
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ICASSP19_Reconciling_Polar_and...
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