Here is a follow-up to Compressed Sensing Petrov-Galerkin Approximations for Parametric PDEs about a paper submitted to SamPTA ( e paper: Compressed Sensing Petrov-Galerkin Approximations for Parametric PDEs by Jean-Luc Bouchot, Benjamin Bykowski, and Holger Rauhut, Christoph Schwab ). Well, Jean-Luc just mentioned in a tweet that there is now an implementationon Github:  Compressed-sensing based approximation of solutions to high-dimensional operator equations. 
Thanks Jean-Luc for the heads-up.

 
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