4 papers
Stable Phase Retrieval for Spans of Independent Random Variables
Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1
We prove that, after normalization, stable phase retrieval holds over the -spans of independent real-valued centered random variables if and only if all but possibly one…
Quantitative stability for the Brascamp-Lieb inequality and moment measures
João Miguel Machado, João P. G. Ramos
We develop a quantitative stability theory for moment measures based on a new sharp uniform stability principle for the Brascamp-Lieb variance inequality in terms of the -dist…
Gauge transform for the Korteweg-de Vries equation and well-posedness below the -scale
Andreia Chapouto, Simão Correia, João Pedro Ramos
We propose a new formulation of the Korteweg-de Vries equation (KdV) on the real line, via a gauge transform. While KdV and the gauged equation are equivalent for smooth solutions,…
On sharp stable recovery from clipped and folded measurements
Pedro Abdalla, Daniel Freeman, João P. G. Ramos +1
We investigate the stability of vector recovery from random linear measurements which have been either clipped or folded. This is motivated by applications where measurement device…