ササキ　リョウヘイ   佐々木　亮平    所属   コンピュータサイエンス学部 コンピュータサイエンス学科    職種   助教
言語種別	英語
発行・発表の年月	2019/09
形態種別	国際会議論文
査読	査読あり
標題	Multiple K-Means Clustering Based Locally Low-Rank Approach to Nonlinear Matrix Completion
執筆形態	共著
掲載誌名	European Signal Processing Conference
掲載区分	国外
出版社・発行元	IEEE
著者・共著者	K. Konishi, T. Shise, R. Sasaki, and T. Furukawa
概要	This paper deals with nonlinear matrix completion problem, which is a problem of restoring missing entries in a given matrix, where its column vectors belong to a low dimensional manifold. Assuming that a low dimensional manifold can be approximated locally as a low dimensional linear subspace, this paper proposes a new locally low-rank approach. In this approach iteratively solves low-rank matrix completion problems for submatrices generated by using the k-means clustering for several values of k and restores missing entries. Numerical examples show that the proposed algorithm achieves better performance than other algorithms.