4 papers
Uniform Recovery of Structured Signals from Nonlinear Observations: Improved Error Rates
Pedro Abdalla, Radu Balan, Junren Chen
Consider the recovery of structured signals from nonlinear observations. Under Gaussian matrix and a large class of unknown nonlinear link functions, Plan and Vershynin (2016) show…
Quantitative Bounds for Sorting-Based Permutation-Invariant Embeddings
Nadav Dym, Matthias Wellershoff, Efstratios Tsoukanis +2
We study permutation-invariant embeddings of -dimensional point sets, which are defined by sorting independent one-dimensional projections of the input. Such embeddings aris…
Stability of sorting based embeddings
Radu Balan, Efstratios Tsoukanis, Matthias Wellershoff
Consider a group of order acting unitarily on a real inner product space . We show that the sorting based embedding obtained by applying a general linear map $α: \mathbb…
G-Invariant Representations using Coorbits: Injectivity Properties
Radu Balan, Efstratios Tsoukanis
Consider a finite-dimensional real vector space equipped with a finite group acting unitarily on it. We address the general problem of constructing Euclidean stable embeddings of t…