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Uncoupled Nonnegative Matrix Factorization with Pairwise Comparison Data

Published:25 August 2022Publication History

ABSTRACT

In this paper, we propose a new method called uncoupled nonnegative matrix factorization (UNMF). UNMF enables us to analyze data that cannot be represented by a matrix, due to the lack of correspondence between the index and values of the matrix elements caused by e.g., data collection under the constraint of privacy protection. We derive the multiplicative update rules for parameter estimation and confirm the effectiveness of UNMF by numerical experiments.

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        cover image ACM Conferences
        ICTIR '22: Proceedings of the 2022 ACM SIGIR International Conference on Theory of Information Retrieval
        August 2022
        289 pages
        ISBN:9781450394123
        DOI:10.1145/3539813

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        • Published: 25 August 2022

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