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An Asymptotic Equation Linking WAIC and WBIC in Singular Models
v1v2 (latest)

An Asymptotic Equation Linking WAIC and WBIC in Singular Models

20 May 2025
Naoki Hayashi
Takuro Kutsuna
Sawa Takamuku
ArXiv (abs)PDFHTML

Papers citing "An Asymptotic Equation Linking WAIC and WBIC in Singular Models"

11 / 11 papers shown
Title
Bayesian Generalization Error in Linear Neural Networks with Concept
  Bottleneck Structure and Multitask Formulation
Bayesian Generalization Error in Linear Neural Networks with Concept Bottleneck Structure and Multitask Formulation
Naoki Hayashi
Yoshihide Sawada
UQCVBDL
64
3
0
16 Mar 2023
The Exact Asymptotic Form of Bayesian Generalization Error in Latent
  Dirichlet Allocation
The Exact Asymptotic Form of Bayesian Generalization Error in Latent Dirichlet Allocation
Naoki Hayashi
66
16
0
04 Aug 2020
Bayesian Generalization Error of Poisson Mixture and Simplex Vandermonde
  Matrix Type Singularity
Bayesian Generalization Error of Poisson Mixture and Simplex Vandermonde Matrix Type Singularity
Kenichiro Sato
Sumio Watanabe
47
13
0
31 Dec 2019
On the overestimation of widely applicable Bayesian information
  criterion
On the overestimation of widely applicable Bayesian information criterion
T. Imai
18
4
0
28 Aug 2019
Estimating Real Log Canonical Thresholds
Estimating Real Log Canonical Thresholds
T. Imai
42
7
0
04 Jun 2019
Variational Approximation Error in Bayesian Non-negative Matrix
  Factorization
Variational Approximation Error in Bayesian Non-negative Matrix Factorization
Naoki Hayashi
57
8
0
09 Sep 2018
Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation
  and Stochastic Matrix Factorization
Asymptotic Bayesian Generalization Error in Latent Dirichlet Allocation and Stochastic Matrix Factorization
Naoki Hayashi
Sumio Watanabe
59
6
0
13 Sep 2017
Upper Bound of Bayesian Generalization Error in Non-negative Matrix
  Factorization
Upper Bound of Bayesian Generalization Error in Non-negative Matrix Factorization
Naoki Hayashi
Sumio Watanabe
59
21
0
13 Dec 2016
A Widely Applicable Bayesian Information Criterion
A Widely Applicable Bayesian Information Criterion
Sumio Watanabe
126
790
0
31 Aug 2012
Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable
  Information Criterion in Singular Learning Theory
Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory
Sumio Watanabe
165
2,403
0
14 Apr 2010
Equations of States in Singular Statistical Estimation
Equations of States in Singular Statistical Estimation
Sumio Watanabe
208
86
0
05 Dec 2007
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