Title
A Novel Riemannian Metric Based on Riemannian Structure and Scaling Information for Fixed Low-Rank Matrix Completion.
Abstract
Riemannian optimization has been widely used to deal with the fixed low-rank matrix completion problem, and Riemannian metric is a crucial factor of obtaining the search direction in Riemannian optimization. This paper proposes a new Riemannian metric via simultaneously considering the Riemannian geometry structure and the scaling information, which is smoothly varying and invariant along the equi...
Year
DOI
Venue
2017
10.1109/TCYB.2016.2587825
IEEE Transactions on Cybernetics
Keywords
Field
DocType
Measurement,Manifolds,Geometry,Optimization,Minimization,Matrix decomposition,Algorithm design and analysis
Information geometry,Topology,Levi-Civita connection,Mathematical optimization,Fisher information metric,Isothermal coordinates,Statistical manifold,Riemannian geometry,Fundamental theorem of Riemannian geometry,Exponential map (Riemannian geometry),Mathematics
Journal
Volume
Issue
ISSN
47
5
2168-2267
Citations 
PageRank 
References 
3
0.42
33
Authors
5
Name
Order
Citations
PageRank
Shasha Mao1544.22
Lin Xiong2484.07
Licheng Jiao35698475.84
Tian Feng4262.87
Sai Kit Yeung542027.17