The Generalization of Non-Negative Matrix Factorization Based on Algorithmic Stability

نویسندگان

چکیده

The Non-negative Matrix Factorization (NMF) is a popular technique for intelligent systems, which can be widely used to decompose nonnegative matrix into two factor matrices: basis and coefficient one, respectively. main objective of NMF ensure that the operation results matrices are as close original possible. Meanwhile, stability generalization ability algorithm should ensured. Therefore, performance algorithms analyzed from perspective error bounds given, named AS-NMF. Firstly, general prediction proposed, predict labels new samples, then corresponding loss function defined further. Secondly, according function, obtained by employing uniform in case where U fixed it not under multiplicative update rule. numerically show its parameter depends on upper bound module length input data, dimension hidden Frobenius norm matrix. Finally, stable framework established, analyze measure algorithm. experimental demonstrate advantages methods three benchmark datasets, indicate our AS-NMF only achieve efficient performance, but also outperform state-of-the-art recommending tasks terms model stability.

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ژورنال

عنوان ژورنال: Electronics

سال: 2023

ISSN: ['2079-9292']

DOI: https://doi.org/10.3390/electronics12051147