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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…
math.OC2012★ 2 cited
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 …