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math.NA2018
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_{…
math.NA2018
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…