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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 …
math.OC2012★ 166 cited
Two Algorithms for Orthogonal Nonnegative Matrix Factorization with Application to Clustering
Filippo Pompili, Nicolas Gillis, P. -A. Absil +1
Approximate matrix factorization techniques with both nonnegativity and orthogonality constraints, referred to as orthogonal nonnegative matrix factorization (ONMF), have been rece…