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06/23/2023
An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank
An approximate projection onto the tangent cone to the variety of third-...
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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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03/28/2023
First-order optimization on stratified sets
We consider the problem of minimizing a differentiable function with loc...
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08/25/2022
An apocalypse-free first-order low-rank optimization algorithm with at most one rank reduction attempt per iteration
We consider the problem of minimizing a differentiable function with loc...
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02/18/2022
Comparison of an Apocalypse-Free and an Apocalypse-Prone First-Order Low-Rank Optimization Algorithm
We compare two first-order low-rank optimization algorithms, namely P^2G...
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01/11/2022
On the continuity of the tangent cone to the determinantal variety
Tangent and normal cones play an important role in constrained optimizat...
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01/11/2022