Speaker: Radu Balan (UMCP)

Title: Robustness and Stability of Reconstruction from Magnitudes of Frame Coefficients

Abstract:

This paper is concerned with the question of reconstructing a vector in a finite-dimensional real Hilbert space when only the magnitudes of the coefficients of the vector under a redundant linear map are known. We analyze various Lipschitz bounds of the nonlinear analysis map and we establish theoretical performance bounds of any reconstruction algorithm. This is joint work with Yang Wang.