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Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable
  Information Criterion in Singular Learning Theory
v1v2 (latest)

Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory

14 April 2010
Sumio Watanabe
ArXiv (abs)PDFHTML

Papers citing "Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory"

50 / 138 papers shown
Title
Hidden Breakthroughs in Language Model Training
Hidden Breakthroughs in Language Model Training
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Elan Rosenfeld
Naomi Saphra
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18 Jun 2025
An Asymptotic Equation Linking WAIC and WBIC in Singular Models
An Asymptotic Equation Linking WAIC and WBIC in Singular Models
Naoki Hayashi
Takuro Kutsuna
Sawa Takamuku
156
0
0
20 May 2025
Practical Equivalence Testing and Its Application in Synthetic Pre-Crash Scenario Validation
Practical Equivalence Testing and Its Application in Synthetic Pre-Crash Scenario Validation
Jian Wu
Ulrich Sander
Carol Flannagan
Minxiang Zhao
Jonas Bärgman
68
0
0
19 May 2025
HiBayES: A Hierarchical Bayesian Modeling Framework for AI Evaluation Statistics
HiBayES: A Hierarchical Bayesian Modeling Framework for AI Evaluation Statistics
Lennart Luettgau
Harry Coppock
Magda Dubois
Christopher Summerfield
Cozmin Ududec
102
0
0
08 May 2025
Understanding the Trade-offs in Accuracy and Uncertainty Quantification: Architecture and Inference Choices in Bayesian Neural Networks
Understanding the Trade-offs in Accuracy and Uncertainty Quantification: Architecture and Inference Choices in Bayesian Neural Networks
Alisa Sheinkman
Sara Wade
UQCVBDL
125
0
0
14 Mar 2025
Temperature Optimization for Bayesian Deep Learning
Temperature Optimization for Bayesian Deep Learning
Kenyon Ng
Chris van der Heide
Liam Hodgkinson
Susan Wei
BDL
118
0
0
08 Oct 2024
Remove Symmetries to Control Model Expressivity and Improve Optimization
Remove Symmetries to Control Model Expressivity and Improve Optimization
Liu Ziyin
Yizhou Xu
Isaac Chuang
AAML
105
4
0
28 Aug 2024
Algebraic Representations for Faster Predictions in Convolutional Neural
  Networks
Algebraic Representations for Faster Predictions in Convolutional Neural Networks
Johnny Joyce
Jan Verschelde
AI4CE
58
0
0
14 Aug 2024
Review and Prospect of Algebraic Research in Equivalent Framework between Statistical Mechanics and Machine Learning Theory
Review and Prospect of Algebraic Research in Equivalent Framework between Statistical Mechanics and Machine Learning Theory
Sumio Watanabe
104
1
0
31 May 2024
Process-based Inference for Spatial Energetics Using Bayesian Predictive
  Stacking
Process-based Inference for Spatial Energetics Using Bayesian Predictive Stacking
Tomoya Wakayama
Sudipto Banerjee
51
1
0
16 May 2024
Upper Bound of Bayesian Generalization Error in Partial Concept
  Bottleneck Model (CBM): Partial CBM outperforms naive CBM
Upper Bound of Bayesian Generalization Error in Partial Concept Bottleneck Model (CBM): Partial CBM outperforms naive CBM
Naoki Hayashi
Yoshihide Sawada
70
1
0
14 Mar 2024
Learning under Singularity: An Information Criterion improving WBIC and
  sBIC
Learning under Singularity: An Information Criterion improving WBIC and sBIC
Lirui Liu
Joe Suzuki
82
0
0
20 Feb 2024
Perturbative partial moment matching and gradient-flow adaptive importance sampling transformations for Bayesian leave one out cross-validation
Perturbative partial moment matching and gradient-flow adaptive importance sampling transformations for Bayesian leave one out cross-validation
Joshua C. Chang
Xiangting Li
Shixin Xu
Hao-Ren Yao
Julia Porcino
Carson C. Chow
90
0
0
13 Feb 2024
A Spatial-statistical model to analyse historical rutting data
A Spatial-statistical model to analyse historical rutting data
Natoya O.A.S. Jourdain
I. Steinsland
Mamoona Birkhez-Shami
Emil Vedvik
William Olsen
D. Gryteselv
Doreen Siebert
Alex Klein-Paste
67
0
0
08 Jan 2024
Bayesian Model Selection via Mean-Field Variational Approximation
Bayesian Model Selection via Mean-Field Variational Approximation
Yangfan Zhang
Yun Yang
36
5
0
17 Dec 2023
Automatic cross-validation in structured models: Is it time to leave out
  leave-one-out?
Automatic cross-validation in structured models: Is it time to leave out leave-one-out?
A. Adin
E. Krainski
A. Lenzi
Z. Liu
J. Martínez-Minaya
H. Rue
73
22
0
28 Nov 2023
An Embedded Diachronic Sense Change Model with a Case Study from Ancient
  Greek
An Embedded Diachronic Sense Change Model with a Case Study from Ancient Greek
Schyan Zafar
Geoff K. Nicholls
103
1
0
01 Nov 2023
Bayesian Regression Markets
Bayesian Regression Markets
Thomas Falconer
J. Kazempour
Pierre Pinson
136
3
0
23 Oct 2023
Efficient estimation and correction of selection-induced bias with order
  statistics
Efficient estimation and correction of selection-induced bias with order statistics
Yann McLatchie
Aki Vehtari
59
2
0
07 Sep 2023
Income, education, and other poverty-related variables: a journey
  through Bayesian hierarchical models
Income, education, and other poverty-related variables: a journey through Bayesian hierarchical models
Irving Gómez-Méndez
Chainarong Amornbunchornvej
24
5
0
31 Aug 2023
A flexible Bayesian tool for CoDa mixed models: logistic-normal
  distribution with Dirichlet covariance
A flexible Bayesian tool for CoDa mixed models: logistic-normal distribution with Dirichlet covariance
Joaquín Martínez-Minaya
Haavard Rue
62
5
0
26 Aug 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE
  Discovery
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE Discovery
Pongpisit Thanasutives
Takashi Morita
M. Numao
Ken-ichi Fukui
85
2
0
20 Aug 2023
Adaptive MCMC for Bayesian variable selection in generalised linear
  models and survival models
Adaptive MCMC for Bayesian variable selection in generalised linear models and survival models
Xitong Liang
Samuel Livingstone
Jim Griffin
80
6
0
01 Aug 2023
Identifiability and Falsifiability: Two Challenges for Bayesian Model
  Expansion
Identifiability and Falsifiability: Two Challenges for Bayesian Model Expansion
Collin Cademartori
48
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0
26 Jul 2023
A Bayesian Programming Approach to Car-following Model Calibration and
  Validation using Limited Data
A Bayesian Programming Approach to Car-following Model Calibration and Validation using Limited Data
Franklin Abodo
44
0
0
19 Jul 2023
Intersectionality in Conversational AI Safety: How Bayesian Multilevel
  Models Help Understand Diverse Perceptions of Safety
Intersectionality in Conversational AI Safety: How Bayesian Multilevel Models Help Understand Diverse Perceptions of Safety
Christopher Homan
Greg Serapio-García
Lora Aroyo
Mark Díaz
Alicia Parrish
Vinodkumar Prabhakaran
Alex S. Taylor
Ding Wang
86
9
0
20 Jun 2023
Anomaly Detection with Variance Stabilized Density Estimation
Anomaly Detection with Variance Stabilized Density Estimation
Amit Rozner
Barak Battash
Henry Li
Lior Wolf
Ofir Lindenbaum
85
2
0
01 Jun 2023
Combining experimental and observational data through a power likelihood
Combining experimental and observational data through a power likelihood
Xi Lin
J. Tarp
R. Evans
CML
60
5
0
05 Apr 2023
A scalable approach for short-term disease forecasting in high spatial
  resolution areal data
A scalable approach for short-term disease forecasting in high spatial resolution areal data
E. Orozco-Acosta
Andrea Riebler
A. Adin
M. D. Ugarte
70
1
0
29 Mar 2023
Bayesian Free Energy of Deep ReLU Neural Network in Overparametrized
  Cases
Bayesian Free Energy of Deep ReLU Neural Network in Overparametrized Cases
Shuya Nagayasu
Sumio Watanabe
BDL
81
3
0
28 Mar 2023
Abstract Visual Reasoning: An Algebraic Approach for Solving Raven's
  Progressive Matrices
Abstract Visual Reasoning: An Algebraic Approach for Solving Raven's Progressive Matrices
Jingyi Xu
Tushar Vaidya
Y. Blankenship
Saket Chandra
Zhangsheng Lai
Kai Fong Ernest Chong
85
8
0
21 Mar 2023
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
Bayesian CART models for insurance claims frequency
Bayesian CART models for insurance claims frequency
Yaojun Zhang
L. Ji
Georgios Aivaliotis
Charles Taylor
39
4
0
03 Mar 2023
The Fewer Splits are Better: Deconstructing Readability in Sentence
  Splitting
The Fewer Splits are Better: Deconstructing Readability in Sentence Splitting
Tadashi Nomoto
80
3
0
02 Feb 2023
Fast Bayesian inference for spatial mean-parameterized
  Conway-Maxwell-Poisson models
Fast Bayesian inference for spatial mean-parameterized Conway-Maxwell-Poisson models
Bokgyeong Kang
John Hughes
M. Haran
25
1
0
27 Jan 2023
Empirical Bayes factors for common hypothesis tests
Empirical Bayes factors for common hypothesis tests
F. Dudbridge
41
1
0
26 Jan 2023
How to select an objective function using information theory
How to select an objective function using information theory
T. Hodson
T. Over
T. Smith
Lucy M. Marshall
38
1
0
10 Dec 2022
Recent Advances in Algebraic Geometry and Bayesian Statistics
Recent Advances in Algebraic Geometry and Bayesian Statistics
Sumio Watanabe
88
1
0
18 Nov 2022
High-dimensional order-free multivariate spatial disease mapping
High-dimensional order-free multivariate spatial disease mapping
Gonzalo Vicente
A. Adin
T. Goicoa
M. D. Ugarte
61
6
0
26 Oct 2022
Leave-group-out cross-validation for latent Gaussian models
Leave-group-out cross-validation for latent Gaussian models
Zhedong Liu
Haavard Rue
71
16
0
10 Oct 2022
Robust leave-one-out cross-validation for high-dimensional Bayesian
  models
Robust leave-one-out cross-validation for high-dimensional Bayesian models
Luca Silva
Giacomo Zanella
40
8
0
19 Sep 2022
A Bayesian Bradley-Terry model to compare multiple ML algorithms on
  multiple data sets
A Bayesian Bradley-Terry model to compare multiple ML algorithms on multiple data sets
Jacques Wainer
81
10
0
09 Aug 2022
Nonseparable Space-Time Stationary Covariance Functions on Networks
  cross Time
Nonseparable Space-Time Stationary Covariance Functions on Networks cross Time
Emilio Porcu
P. White
M. Genton
50
2
0
05 Aug 2022
A Bayesian hierarchical framework for emulating a complex crop yield
  simulator
A Bayesian hierarchical framework for emulating a complex crop yield simulator
M. M. Hasan
J. Cumming
33
0
0
26 Jul 2022
Assessing inter-rater reliability with heterogeneous variance components
  models: Flexible approach accounting for contextual variables
Assessing inter-rater reliability with heterogeneous variance components models: Flexible approach accounting for contextual variables
Patrícia Martinková
František Bartoš
M. Brabec
49
8
0
05 Jul 2022
On the Influence of Enforcing Model Identifiability on Learning dynamics
  of Gaussian Mixture Models
On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models
Pascal Esser
Frank Nielsen
32
0
0
17 Jun 2022
Mathematical Theory of Bayesian Statistics for Unknown Information
  Source
Mathematical Theory of Bayesian Statistics for Unknown Information Source
Sumio Watanabe
72
9
0
11 Jun 2022
Bayesian Discrete Conditional Transformation Models
Bayesian Discrete Conditional Transformation Models
Manuel Carlan
Thomas Kneib
31
2
0
17 May 2022
The role of alcohol outlet visits derived from mobile phone location
  data in enhancing domestic violence prediction at the neighborhood level
The role of alcohol outlet visits derived from mobile phone location data in enhancing domestic violence prediction at the neighborhood level
Ting Chang
Yingjie Hu
Dan Taylor
B. Quigley
19
19
0
26 Feb 2022
Bayesian Model Selection, the Marginal Likelihood, and Generalization
Bayesian Model Selection, the Marginal Likelihood, and Generalization
Sanae Lotfi
Pavel Izmailov
Gregory W. Benton
Micah Goldblum
A. Wilson
UQCVBDL
147
58
0
23 Feb 2022
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