Recent Results on the Co-Sparse Analysis Model
March 18-22, 2013
84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi-Sad, Serbia

In this talk we describe the co-sparse analysis model, with emphasis on pursuit algorithms and dictionary learning for it. We present two of our recent activities on this subject: (i) A theoretical study of the Analysis-Thresholding algorithm, exposing measures of goodness for the dictionary that govern the pursuit performance; and (ii) The development of an analysis K-SVD algorithm that trains a dictionary from signal examples and its use for image denoising.

This is a joint work with Tomer Peleg and Ron Rubinstein. This talk was given as an invited talk in the workshop "Mathematical signal and image processing" organized by Gitta Kutyniok and Otmar Scherzer