We will receive Thomas Debarre on Thursday 23th September for a seminar.
Title :
Total-Variation-Based Optimization: Theory and Algorithms for Minimal Sparsity
Abstract :
The total-variation (TV) norm for measures as a regularizer for continuous-domain inverse problems has been the subject of many recent works, both on the theoretical and algorithmic sides. Its sparsity-promoting effect is now well understood, particularly in the context of Dirac recovery. In this talk, I will present some of our TV-related work in the context of spline recovery, i.e., in the presence of a differential regularization operator. My emphasis will be on the study of the solution set of such problems, which is typically non unique, and more specifically on identifying their sparsest solution. I will also presents algorithmic aspects and results for spline reconstruction.
