Title | ||
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A Novel Riemannian Metric Based on Riemannian Structure and Scaling Information for Fixed Low-Rank Matrix Completion. |
Abstract | ||
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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 Mao | 1 | 54 | 4.22 |
Lin Xiong | 2 | 48 | 4.07 |
Licheng Jiao | 3 | 5698 | 475.84 |
Tian Feng | 4 | 26 | 2.87 |
Sai Kit Yeung | 5 | 420 | 27.17 |