Gil Goldman

activity

20162024

most citedSingle-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime

2 citations · 5 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CA2017★ 1 cited

Algebraic Geometry of Error Amplification: the Prony leaves

Dmitry Batenkov, Gil Goldman, Yehonatan Salman +1

We provide an overview of some results on the "geometry of error amplification" in solving Prony system, in situations where the nodes near-collide. It turns out to be governed by…

math.CA2017

Accuracy of reconstruction of spike-trains with two near-colliding nodes

Andrey Akinshin, Gil Goldman, Vladimir Golubyatnikov +1

We consider a signal reconstruction problem for signals $F$ of the form $F (x) = \sum_{j = 1}^{d} a_{j} δ (x - x_{j}),$ from their moments $m_{k} (F) = \int x^{k} F (x) d x .$ We assume $m_k…

math.CA2017

Geometry of error amplification in solving Prony system with near-colliding nodes

Andrey Akinshin, Gil Goldman, Yosef Yomdin

We consider a reconstruction problem for ``spike-train'' signals $F$ of an a priori known form $F (x) = \sum_{j = 1}^{d} a_{j} δ (x - x_{j}),$ from their moments $m_k(F)=\int x^kF…