359 citations · 1.4k across the 40 of their papers we have counts for
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cs.LG2012★ 4 cited
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…
cs.LG2010★ 56 cited
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…