56 citations · 196 across the 25 of their papers we have counts for
33 papers
Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data
Michael Levinov, Yosef Yomdin, Dmitry Batenkov
We investigate the problem of reconstructing a 2D piecewise smooth function from its bandlimited Fourier measurements. This is a well known and well studied problem with many real…
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents
Rami Katz, Nuha Diab, Dmitry Batenkov
In this paper we establish accuracy bounds of Prony's method (PM) for recovery of sparse measures from incomplete and noisy frequency measurements, or the so-called problem of supe…
Decimated Prony's Method for Stable Super-resolution
Rami Katz, Nuha Diab, Dmitry Batenkov
We study recovery of amplitudes and nodes of a finite impulse train from noisy frequency samples. This problem is known as super-resolution under sparsity constraints and has numer…
A physically-informed Deep-Learning approach for locating sources in a waveguide
Adar Kahana, Symeon Papadimitropoulos, Eli Turkel +1
Inverse source problems are central to many applications in acoustics, geophysics, non-destructive testing, and more. Traditional imaging methods suffer from the resolution limit,…
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices
Dmitry Batenkov, Nuha Diab
We study the problem of super-resolution of a linear combination of Dirac distributions and their derivatives on a one-dimensional circle from noisy Fourier measurements. Following…
Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime
Dmitry Batenkov, Gil Goldman
Following recent interest by the community, the scaling of the minimal singular value of a Vandermonde matrix with nodes forming clusters on the length scale of Rayleigh distance o…