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Generalization Error Bounds for Kernel Matrix Completion and Extrapolation

delete2020-01-01
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P
Pere Giménez-Febrer *
A
Alba Pagés-Zamora
G
Georgios B. Giannakis
DOI:10.1109/LSP.2020.2970306delete
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Abstract

Abstract

En 中文
Prior information can be incorporated in matrix completion to improve estimation accuracy and extrapolate the missing entries. Reproducing kernel Hilbert spaces provide tools to leverage the said prior information, and derive more reliable algorithms. This paper analyzes the generalization error of such approaches, and presents numerical tests confirming the theoretical results.
Keywords:
Matrix completion
kernel regression
generalization error
Rademacher complexity
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Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

U
universitat politecnica de catalunya
Scholars:
1.9W
Papers: 1.6W
Citations: 17