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20162024
most citedUpper Bound of Bayesian Generalization Error in Non-negative Matrix Factorization

19 citations · 33 across the 6 of their papers we have counts for

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6 papers

stat.ML2024

Upper Bound of Bayesian Generalization Error in Partial Concept Bottleneck Model (CBM): Partial CBM outperforms naive CBM

Naoki Hayashi, Yoshihide Sawada

Concept Bottleneck Model (CBM) is a methods for explaining neural networks. In CBM, concepts which correspond to reasons of outputs are inserted in the last intermediate layer as o…

stat.ML2023

Bayesian Generalization Error in Linear Neural Networks with Concept Bottleneck Structure and Multitask Formulation

Naoki Hayashi, Yoshihide Sawada

Concept bottleneck model (CBM) is a ubiquitous method that can interpret neural networks using concepts. In CBM, concepts are inserted between the output layer and the last interme…

stat.ML2020★ 1 cited

The Exact Asymptotic Form of Bayesian Generalization Error in Latent Dirichlet Allocation

Naoki Hayashi

Latent Dirichlet allocation (LDA) obtains essential information from data by using Bayesian inference. It is applied to knowledge discovery via dimension reducing and clustering in…

math.ST2018★ 9 cited

Variational Approximation Error in Bayesian Non-negative Matrix Factorization

Naoki Hayashi

Non-negative matrix factorization (NMF) is a knowledge discovery method that is used in many fields. Variational inference and Gibbs sampling methods for it are also wellknown. How…

math.ST2017★ 4 cited

Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation and Stochastic Matrix Factorization

Naoki Hayashi, Sumio Watanabe

Latent Dirichlet allocation (LDA) is useful in document analysis, image processing, and many information systems; however, its generalization performance has been left unknown beca…

math.ST2016★ 19 cited

Upper Bound of Bayesian Generalization Error in Non-negative Matrix Factorization

Naoki Hayashi, Sumio Watanabe

Non-negative matrix factorization (NMF) is a new knowledge discovery method that is used for text mining, signal processing, bioinformatics, and consumer analysis. However, its bas…