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08/31/2023
Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations
We consider dynamical low-rank approximations to parabolic problems on h...
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06/01/2023
Gauss-Southwell type descent methods for low-rank matrix optimization
We consider gradient-related methods for low-rank matrix optimization wi...
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04/06/2023
On the approximation of vector-valued functions by samples
Given a Hilbert space ℋ and a finite measure space Ω, the approximation ...
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03/03/2023
Dynamical low-rank approximation of the Vlasov-Poisson equation with piecewise linear spatial boundary
We consider dynamical low-rank approximation (DLRA) for the numerical si...
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10/15/2022
Time-Varying Semidefinite Programming: Path Following a Burer–Monteiro Factorization
We present an online algorithm for time-varying semidefinite programs (T...
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07/07/2022
Kronecker Product Approximation of Operators in Spectral Norm via Alternating SDP
The decomposition or approximation of a linear operator on a matrix spac...
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11/29/2021
Local convergence of alternating low-rank optimization methods with overrelaxation
The local convergence of alternating optimization methods with overrelax...
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03/03/2021
Riemannian thresholding methods for row-sparse and low-rank matrix recovery
In this paper, we present modifications of the iterative hard thresholdi...
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12/23/2020
A note on overrelaxation in the Sinkhorn algorithm
We derive an a-priori parameter range for overrelaxation of the Sinkhorn...
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02/27/2020
Existence of dynamical low-rank approximations to parabolic problems
The existence of weak solutions of dynamical low-rank evolution for para...
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07/09/2017