I gave a minitutorial at the 2016 SIAM Conference on Uncertainty Quantification on compressed sensing and its application to UQ. My slides are available here:
Compressed sensing and application to uncertainty quantification
I have also written a preliminary bibliography of papers relevant to the tutorial: PolynomialCSBibliography
Please feel free to contact me with comments and questions!
My postdoc Il Yong Chun, visiting student Chen Li and I have developed some new and improved recovery guarantees for parallel acquisition systems. These are described in two submitted conference papers:
Optimal sparse recovery for multi-sensor measurements
Sparsity and parallel acquisition: optimal uniform and nonuniform recovery guarantees
These new results build on a previous paper of ours which introduced a compressed sensing framework for multi-sensor systems – see this past news item. The new results explain the practical recovery capabilities of a much broader class of sensing scenarios.