18 citations · 25 across the 7 of their papers we have counts for
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math.OC2020★ 4 cited
Second-order optimization for tensors with fixed tensor-train rank
Michael Psenka, Nicolas Boumal
There are several different notions of "low rank" for tensors, associated to different formats. Among them, the Tensor Train (TT) format is particularly well suited for tensors of…
math.SP2020★ 1 cited
A Proof of The Triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger Inequality
Ryan Arbon, Mohammed Mannan, Michael Psenka +1
In this paper, we show that for all triangles in the plane, the equilateral triangle maximizes the ratio of the first two Dirichlet-Laplacian eigenvalues. This is an extension of w…