786 citations · 2.1k across the 40 of their papers we have counts for
44 papers
Graph-Regularized Low-Rank Matrix Completion by Variable Projection
Benoît Loucheur, P. -A. Absil, Michel Journée
We address the low-rank matrix completion problem by incorporating graph regularization into the existing Riemannian Trust-Region Matrix Completion (RTRMC) framework. The latter us…
The Exponential of Skew-Symmetric Matrices: A Nearby Inverse and Efficient Computation of Derivatives
Zhifeng Deng, P. -A. Absil, Kyle A. Gallivan +1
The matrix exponential restricted to skew-symmetric matrices has numerous applications, notably in view of its interpretation as the Lie group exponential and Riemannian exponentia…
The ultimate upper bound on the injectivity radius of the Stiefel manifold
P. -A. Absil, Simon Mataigne
We exhibit conjugate points on the Stiefel manifold endowed with any member of the family of Riemannian metrics introduced by Hüper et al. (2021). This family contains the well-kno…
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-…
Graph-Based Matrix Completion Applied to Weather Data
Benoît Loucheur, P. -A. Absil, Michel Journée
Low-rank matrix completion is the task of recovering unknown entries of a matrix by assuming that the true matrix admits a good low-rank approximation. Sometimes additional informa…
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…