Author

Naoki Hayashi

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#machine learning Preprint Sep 2026

Singularities of Non-negative Matrix Factorization and their application to Bayesian inference

Non-negative matrix factorization (NMF) is a singular statistical model whose Bayesian asymptotics are governed by the real log canonical threshold (RLCT). We study the local geometry of the factorization map and derive an upper bound for the RLCT of NMF. Let $H$ be the model inner dimension and $H_0$ the non-negative...

Naoki Hayashi, Yota Maeda, Yasushi Esaki · 0 citations