Skip to Main content Skip to Navigation
Conference papers

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.
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download

https://hal.inria.fr/hal-02059703
Contributor : Cédric Herzet <>
Submitted on : Wednesday, March 6, 2019 - 6:54:26 PM
Last modification on : Saturday, May 1, 2021 - 3:47:23 AM
Long-term archiving on: : Friday, June 7, 2019 - 6:54:57 PM

File

ICASSP19_Reconciling_Polar_and...
Files produced by the author(s)

Identifiers

Citation

Frédéric Champagnat, Cédric Herzet. Atom selection in continuous dictionaries : reconciling polar and SVD approximations. ICASSP 2019 - IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2019, Brighton, United Kingdom. pp.5516-5520, ⟨10.1109/ICASSP.2019.8683402⟩. ⟨hal-02059703⟩

Share

Metrics

Record views

267

Files downloads

335