59 citations · 127 across the 5 of their papers we have counts for
5 papers
Low-rank optimization for distance matrix completion
B. Mishra, G. Meyer, R. Sepulchre
This paper addresses the problem of low-rank distance matrix completion. This problem amounts to recover the missing entries of a distance matrix when the dimension of the data emb…
Fixed-rank matrix factorizations and Riemannian low-rank optimization
B. Mishra, G. Meyer, S. Bonnabel +1
Motivated by the problem of learning a linear regression model whose parameter is a large fixed-rank non-symmetric matrix, we consider the optimization of a smooth cost function de…
Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries
P. -A. Absil, Luca Amodei, Gilles Meyer
We consider two Riemannian geometries for the manifold of all matrices of rank . The geometries are induced on …
Low-rank optimization with trace norm penalty
B. Mishra, G. Meyer, F. Bach +1
The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank op…
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach
Gilles Meyer, Silvere Bonnabel, Rodolphe Sepulchre
The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space…