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07/04/2023
Free energy of Bayesian Convolutional Neural Network with Skip Connection
Since the success of Residual Network(ResNet), many of architectures of ...
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03/28/2023
Bayesian Free Energy of Deep ReLU Neural Network in Overparametrized Cases
In many research fields in artificial intelligence, it has been shown th...
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03/10/2023
Upper Bound of Real Log Canonical Threshold of Tensor Decomposition and its Application to Bayesian Inference
Tensor decomposition is now being used for data analysis, information co...
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11/18/2022
Recent Advances in Algebraic Geometry and Bayesian Statistics
This article is a review of theoretical advances in the research field o...
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06/11/2022
Mathematical Theory of Bayesian Statistics for Unknown Information Source
In statistical inference, uncertainty is unknown and all models are wron...
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03/14/2022
Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures
Multinomial mixtures are widely used in the information engineering fiel...
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12/15/2020
Asymptotic Behavior of Free Energy When Optimal Probability Distribution Is Not Unique
Bayesian inference is a widely used statistical method. The free energy ...
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12/31/2019
Bayesian Generalization Error of Poisson Mixture and Simplex Vandermonde Matrix Type Singularity
A Poisson mixture is one of the practically important models in computer...
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12/15/2019
Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach
The test of homogeneity for normal mixtures has been conducted in divers...
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12/09/2018
Asymptotic Analysis of the Bayesian Likelihood Ratio for Testing Homogeneity in Normal Mixture Models
A normal mixture is one of the most important models in statistics, in t...
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09/13/2017
Asymptotic Bayesian Generalization Error in a General Stochastic Matrix Factorization for Markov Chain and Bayesian Network
Stochastic matrix factorization (SMF) can be regarded as a restriction o...
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03/27/2015
Bayesian Cross Validation and WAIC for Predictive Prior Design in Regular Asymptotic Theory
Prior design is one of the most important problems in both statistics an...
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08/31/2012
