Presentation 2020-11-25
Distributed Algorithms based on Multiplicative Update Rules for Nonnegative Matrix Factorization
Yohei Domen, Tsuyoshi Migita, Norikazu Takahashi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Nonnegative matrix factorization (NMF) is a multivariate method that approximates a given nonnegative matrix by the product of two low-rank nonnegative matrices, and has been widely used in signal processing, text classification, network analysis, and recommendation systems. In this report, assuming that a given nonnegative matrix is divided into a large number of blocks and each block is assigned to a single agent, we propose an algorithm for multiple agents to perform NMF in a decentralized and cooperative manner. The proposed algorithm, which is a combination of various multiplicative updates and a certain consensus algorithm, gives the same results as performing multiplicative updates with a single agent.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) nonnegative matrix factorization / distributed algorithm / multiplicative update rule / consensus / multiagent network
Paper # CAS2020-24,MSS2020-16
Date of Issue 2020-11-18 (CAS, MSS)

Conference Information
Committee MSS / CAS / IPSJ-AL
Conference Date 2020/11/25(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Shigemasa Takai(Osaka Univ.) / Yasuhiro Takashima(Univ. of Kitakyushu)
Vice Chair Atsuo Ozaki(Osaka Inst. of Tech.) / Hiroki Sato(Sony LSI Design)
Secretary Atsuo Ozaki(Setsunan Univ.) / Hiroki Sato(Hokkaido Univ.) / (Yamanashi Univ.)
Assistant Naoki Hayashi(Osaka Univ.) / Motoi Yamaguchi(TECHNOPRO) / Yohei Nakamura(Hitachi)

Paper Information
Registration To Technical Committee on Mathematical Systems Science and its applications / Technical Committee on Circuits and Systems / Special Interest Group on Algorithms
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Distributed Algorithms based on Multiplicative Update Rules for Nonnegative Matrix Factorization
Sub Title (in English)
Keyword(1) nonnegative matrix factorization
Keyword(2) distributed algorithm
Keyword(3) multiplicative update rule
Keyword(4) consensus
Keyword(5) multiagent network
1st Author's Name Yohei Domen
1st Author's Affiliation Okayama University(Okayama Univ.)
2nd Author's Name Tsuyoshi Migita
2nd Author's Affiliation Okayama University(Okayama Univ.)
3rd Author's Name Norikazu Takahashi
3rd Author's Affiliation Okayama University(Okayama Univ.)
Date 2020-11-25
Paper # CAS2020-24,MSS2020-16
Volume (vol) vol.120
Number (no) CAS-245,MSS-246
Page pp.pp.28-33(CAS), pp.28-33(MSS),
#Pages 6
Date of Issue 2020-11-18 (CAS, MSS)