Projected gradient descent for non-convex sparse spike estimation
Langue
en
Article de revue
Ce document a été publié dans
IEEE Signal Processing Letters. 2020, vol. 27, p. 1110 - 1114
Institute of Electrical and Electronics Engineers
Résumé en anglais
We propose a new algorithm for sparse spike estimation from Fourier measurements. Based on theoretical results on non-convex optimization techniques for off-the-grid sparse spike estimation, we present a projected gradient ...Lire la suite >
We propose a new algorithm for sparse spike estimation from Fourier measurements. Based on theoretical results on non-convex optimization techniques for off-the-grid sparse spike estimation, we present a projected gradient descent algorithm coupled with a spectral initialization procedure. Our algorithm permits to estimate the positions of large numbers of Diracs in 2d from random Fourier measurements. We present, along with the algorithm, theoretical qualitative insights explaining the success of our algorithm. This opens a new direction for practical off-the-grid spike estimation with theoretical guarantees in imaging applications.< Réduire
Mots clés en anglais
non-convex optimization
spike super-resolution
projected gradient descent
Origine
Importé de halUnités de recherche