149 citations · 258 across the 21 of their papers we have counts for
27 papers
Maximally Spread Out Measures and Implications for Phase Transitions in Approximation Theory
Hannes Matt, Erwin Riegler, Felix Voigtlaender
We establish the existence of a "maximally spread out" Borel probability measure on a totally bounded subset $\SC$ of a (…
Generating Rectifiable Measures through Neural Networks
Erwin Riegler, Alex Bühler, Yang Pan +1
We derive universal approximation results for the class of (countably) -rectifiable measures. Specifically, we prove that -rectifiable measures can be approximated as push-fo…
Completion of Matrices with Low Description Complexity
Erwin Riegler, Günther Koliander, David Stotz +1
We propose a theory for matrix completion that goes beyond the low-rank structure commonly considered in the literature and applies to general matrices of low description complexit…
Lossy Compression of General Random Variables
Erwin Riegler, Helmut Bölcskei, Günther Koliander
This paper is concerned with the lossy compression of general random variables, specifically with rate-distortion theory and quantization of random variables taking values in gener…
Uncertainty relations and sparse signal recovery
Erwin Riegler, Helmut Bölcskei
This chapter provides a principled introduction to uncertainty relations underlying sparse signal recovery. We start with the seminal work by Donoho and Stark, 1989, which defines…
Lossless Analog Compression
Giovanni Alberti, Helmut Bölcskei, Camillo De Lellis +2
We establish the fundamental limits of lossless analog compression by considering the recovery of arbitrary m-dimensional real random vectors x from the noiseless linear measuremen…