Sökning: "Daniele Gerosa"

Hittade 1 avhandling innehållade orden Daniele Gerosa.

1. 1. Non-Convex Methods for Compressed Sensing and Low-Rank Matrix Problems

   Författare :Daniele Gerosa; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; compressed sensing; Low-rank Approximation; phase retrieval; Non-convex optimization;

   Sammanfattning : In this thesis we study functionals of the type \( \mathcal{K}_{f,A,\b}(\x)= \mathcal{Q}(f)(\x) + \|A\x - \b \| ^2 \), where \(A\) is a linear map, \(\b\) a measurements vector and \( \mathcal{Q} \) is a functional transform called \emph{quadratic envelope}; this object is a very close relative of the \emph{Lasry-Lions envelope} and its use is meant to regularize the functionals \(f\). Carlsson and Olsson investigated in earlier works the connections between the functionals \( \mathcal{K}_{f,A,\b}\) and their unregularized counterparts \(f(\x) + \|A\x - \b \| ^2 \). LÄS MER