2 citations · 3 across the 5 of their papers we have counts for
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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…
The spectral properties of Vandermonde matrices with clustered nodes
Dmitry Batenkov, Benedikt Diederichs, Gil Goldman +1
We study rectangular Vandermonde matrices with rows and irregularly spaced nodes on the unit circle, in cases where some of the nodes are "clustered" togethe…
Super-resolution of near-colliding point sources
Dmitry Batenkov, Gil Goldman, Yosef Yomdin
We consider the problem of stable recovery of sparse signals of the form from their spectral measureme…
Conditioning of partial nonuniform Fourier matrices with clustered nodes
Dmitry Batenkov, Laurent Demanet, Gil Goldman +1
We prove sharp lower bounds for the smallest singular value of a partial Fourier matrix with arbitrary "off the grid" nodes (equivalently, a rectangular Vandermonde matrix with the…