Title :
Multi-dimensional sparse structured signal approximation using split bregman iterations
Author :
Isaac, Yoann ; Barthelemy, Quentin ; Atif, Jamal ; Gouy-Pailler, C. ; Sebag, Michele
Author_Institution :
Data Anal. Tools Lab., CEA, Gif-sur-Yvette, France
Abstract :
The paper focuses on the sparse approximation of signals using overcomplete representations, such that it preserves the (prior) structure of multi-dimensional signals. The underlying optimization problem is tackled using a multi-dimensional split Bregman optimization approach. An extensive empirical evaluation shows how the proposed approach compares to the state of the art depending on the signal features.
Keywords :
approximation theory; iterative methods; optimisation; signal representation; multidimensional sparse structured signal approximation; multidimensional split Bregman optimization approach; overcomplete signal representations; signal features; split Bregman iteration approach; Approximation methods; Bismuth; Dictionaries; Matrix decomposition; Minimization; Optimization; Signal processing algorithms; Fused-LASSO; Multidimensional signals; Regularization; Sparse approximation; Split Bregman;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on
Conference_Location :
Vancouver, BC
DOI :
10.1109/ICASSP.2013.6638374