210 citations · 1.2k across the 58 of their papers we have counts for
3 papers · 1 filter
A time continuation based fast approximate algorithm for compressed sensing related optimization
Farzin Barekat, Stanley Osher, Jerome Darbon
Recently, significant connections between compressed sensing problems and optimization of a particular class of functions relating to solutions of Hamilton-Jacobi equation was disc…
PDEs with Compressed Solutions
Russel E. Caflisch, Stanley J. Osher, Hayden Schaeffer +1
Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted t…
Compressed Modes for Variational Problems in Mathematics and Physics
Vidvuds Ozoliņš, Rongjie Lai, Russel Caflisch +1
This paper describes a general formalism for obtaining localized solutions to a class of problems in mathematical physics, which can be recast as variational optimization problems.…