Geodesic
Piecewise-polynomial signal segmentation using convex optimization
Kybernetika, Tome 53 (2017) no. 6, pp. 1131-1149.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A method is presented for segmenting one-dimensional signal whose independent segments are modeled as polynomials, and which is corrupted by additive noise. The method is based on sparse modeling, the main part is formulated as a convex optimization problem and is solved by a proximal splitting algorithm. We perform experiments on simulated and real data and show that the method is capable of reliably finding breakpoints in the signal, but requires careful tuning of the regularization parameters and internal parameters. Finally, potential extensions are discussed.
DOI : 10.14736/kyb-2017-6-1131
Classification : 46N10, 47N10, 65K10, 90C25, 90C30, 90C90
Keywords: signal segmentation; denoising; sparsity; piecewise-polynomial signal model; convex optimization 
@article{10_14736_kyb_2017_6_1131,
     author = {Rajmic, Pavel and Novosadov\'a, Michaela and Da\v{n}kov\'a, Marie},
     title = {Piecewise-polynomial signal segmentation using convex optimization},
     journal = {Kybernetika},
     pages = {1131--1149},
     publisher = {mathdoc},
     volume = {53},
     number = {6},
     year = {2017},
     doi = {10.14736/kyb-2017-6-1131},
     mrnumber = {3758939},
     zbl = {06861645},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-6-1131/}
}
TY  - JOUR
AU  - Rajmic, Pavel
AU  - Novosadová, Michaela
AU  - Daňková, Marie
TI  - Piecewise-polynomial signal segmentation using convex optimization
JO  - Kybernetika
PY  - 2017
SP  - 1131
EP  - 1149
VL  - 53
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-6-1131/
DO  - 10.14736/kyb-2017-6-1131
LA  - en
ID  - 10_14736_kyb_2017_6_1131
ER  - 
%0 Journal Article
%A Rajmic, Pavel
%A Novosadová, Michaela
%A Daňková, Marie
%T Piecewise-polynomial signal segmentation using convex optimization
%J Kybernetika
%D 2017
%P 1131-1149
%V 53
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-6-1131/
%R 10.14736/kyb-2017-6-1131
%G en
%F 10_14736_kyb_2017_6_1131
Rajmic, Pavel; Novosadová, Michaela; Daňková, Marie. Piecewise-polynomial signal segmentation using convex optimization. Kybernetika, Tome 53 (2017) no. 6, pp. 1131-1149. doi : 10.14736/kyb-2017-6-1131. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-6-1131/

Cité par Sources :