55 citations · 72 across the 5 of their papers we have counts for
10 papers
Lecture notes on non-convex algorithms for low-rank matrix recovery
Irène Waldspurger
Low-rank matrix recovery problems are inverse problems which naturally arise in various fields like signal processing, imaging and machine learning. They are non-convex and NP-hard…
Rank optimality for the Burer-Monteiro factorization
Irène Waldspurger, Alden Waters
When solving large scale semidefinite programs that admit a low-rank solution, an efficient heuristic is the Burer-Monteiro factorization: instead of optimizing over the full matri…
Phase retrieval with random Gaussian sensing vectors by alternating projections
Irène Waldspurger
We consider a phase retrieval problem, where we want to reconstruct a -dimensional vector from its phaseless scalar products with sensing vectors, independently sampled from…
Phase retrieval with random Gaussian sensing vectors by alternating projections
Irène Waldspurger
We consider a phase retrieval problem, where we want to reconstruct a -dimensional vector from its phaseless scalar products with sensing vectors. We assume the sensing vect…
Exponential decay of scattering coefficients
Irène Waldspurger
We study an aspect of the following general question: which properties of a signal can be characterized by its scattering transform? We show that the energy contained in high order…
Phase retrieval for wavelet transforms
Irène Waldspurger
We describe a new algorithm to solve a particular phase retrieval problem, that has wide applications in audio processing: the reconstruction of a function from its scalogram, that…
Phase retrieval for the Cauchy wavelet transform
Stéphane Mallat, Irène Waldspurger
We consider the phase retrieval problem in which one tries to reconstruct a function from the modulus of its wavelet transform. We study the unicity and stability of the reconstruc…
Wavelet methods for shape perception in electro-sensing
Habib Ammari, Stéphane Mallat, Irène Waldspurger +1
This paper aims at presenting a new approach to the electro-sensing problem using wavelets. It provides an efficient algorithm for recognizing the shape of a target from micro-elec…
Phase retrieval for imaging problems
Fajwel Fogel, Irène Waldspurger, Alexandre d'Aspremont
We study convex relaxation algorithms for phase retrieval on imaging problems. We show that structural assumptions on the signal and the observations, such as sparsity, smoothness…
Phase Recovery, MaxCut and Complex Semidefinite Programming
Irène Waldspurger, Alexandre d'Aspremont, Stéphane Mallat
Phase retrieval seeks to recover a signal x from the amplitude |Ax| of linear measurements. We cast the phase retrieval problem as a non-convex quadratic program over a complex pha…