56 citations · 172 across the 39 of their papers we have counts for
3 papers · 2 filters
Conditioning of partial nonuniform Fourier matrices with clustered nodes
Dmitry Batenkov, Laurent Demanet, Gil Goldman +1
We prove sharp lower bounds for the smallest singular value of a partial Fourier matrix with arbitrary "off the grid" nodes (equivalently, a rectangular Vandermonde matrix with the…
Geometry and Singularities of Prony varieties
Gil Goldman, Yehonatan Salman, Yosef Yomdin
We start a systematic study of the topology, geometry and singularities of the Prony varieties , defined by the first equations of the classical Prony system $$\sum_{…
Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view
Gil Goldman, Yehonatan Salman, Yosef Yomdin
This is a survey paper discussing one specific (and classical) system of algebraic equations - the so called "Prony system". We provide a short overview of its unusually wide conne…