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02/12/2023
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents
In this paper we establish accuracy bounds of Prony's method (PM) for re...
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10/24/2022
Decimated Prony's Method for Stable Super-resolution
We study recovery of amplitudes and nodes of a finite impulse train from...
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08/07/2022
A physically-informed Deep-Learning approach for locating sources in a waveguide
Inverse source problems are central to many applications in acoustics, g...
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03/22/2022
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices
We study the problem of super-resolution of a linear combination of Dira...
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07/20/2021
Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime
Following recent interest by the community, the scaling of the minimal s...
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09/04/2019
The spectral properties of Vandermonde matrices with clustered nodes
We study rectangular Vandermonde matrices V with N+1 rows and s irregula...
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09/03/2018
Stability of partial Fourier matrices with clustered nodes
We prove sharp lower bounds for the smallest singular value of a partial...
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02/11/2017