786 citations · 2.1k across the 40 of their papers we have counts for
19 papers · 1 filter
Rank Estimation for Third-Order Tensor Completion in the Tensor-Train Format
Charlotte Vermeylen, Guillaume Olikier, P. -A. Absil +1
We propose a numerical method to obtain an adequate value for the upper bound on the rank for the tensor completion problem on the variety of third-order tensors of bounded tensor-…
A Riemannian Proximal Newton Method
Wutao Si, P. -A. Absil, Wen Huang +2
In recent years, the proximal gradient method and its variants have been generalized to Riemannian manifolds for solving optimization problems with an additively separable structur…
First-order optimization on stratified sets
Guillaume Olikier, Kyle A. Gallivan, P. -A. Absil
We consider the problem of minimizing a differentiable function with locally Lipschitz continuous gradient on a stratified set and present a first-order algorithm designed to find…
Quadproj: a Python package for projecting onto quadratic hypersurfaces
Loïc Van Hoorebeeck, P. -A. Absil
Quadratic hypersurfaces are a natural generalization of affine subspaces, and projections are elementary blocks of algorithms in optimization and machine learning. It is therefore…
An apocalypse-free first-order low-rank optimization algorithm with at most one rank reduction attempt per iteration
Guillaume Olikier, P. -A. Absil
We consider the problem of minimizing a differentiable function with locally Lipschitz continuous gradient over the real determinantal variety, and present a first-order algorithm…
Projection onto quadratic hypersurfaces
Loïc Van Hoorebeeck, P. -A. Absil, Anthony Papavasiliou
We address the problem of projecting a point onto a quadratic hypersurface, more specifically a central quadric. We show how this problem reduces to finding a given root of a scala…