Geometry and singularities of Prony varieties

G Goldman, Y Salman, Y Yomdin - arXiv preprint arXiv:1806.02204, 2018 - arxiv.org
We start a systematic study of the topology, geometry and singularities of the Prony varieties
$ S_q (\mu) $, defined by the first $ q+ 1$ equations of the classical Prony system $$\sum …

Accuracy of noisy spike-train reconstruction: a singularity theory point of view

G Goldman, Y Salman, Y Yomdin - arXiv preprint arXiv:1801.02177, 2018 - arxiv.org
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 connections …

Prony systems, super resolution and partial Fourier matrices with clustered nodes

G Goldman - 2019 - search.proquest.com
דוקטור לפילוסופיה Page 1 Thesis for the degree Doctor of Philosophy By Gil Goldman Advisor:
Prof. Yosef Yomdin July 2019 Submitted to the Scientific Council of the Weizmann Institute of …