Low-rank matrix completion by Riemannian optimization (Q2848192)
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scientific article; zbMATH DE number 6211579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low-rank matrix completion by Riemannian optimization |
scientific article; zbMATH DE number 6211579 |
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25 September 2013
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matrix completion
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low-rank matrices
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optimization on manifolds
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differential geometry
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nonlinear conjugate gradients
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Riemannian manifolds
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Low-rank matrix completion by Riemannian optimization (English)
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The matrix completion problem consists basically of recovering a low-rank matrix based on a very sparse set of entries of this matrix. In this paper, the author proposes a method based on optimization on manifolds to solve large-scale matrix completion problems. The approach consists of directly minimizing the least-squares error of the fit directly over the set of matrices of a given rank. The method proposed presents however several pertinent limitations.
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