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Bayesian Deep Convolutional Networks with Many Channels are Gaussian
  Processes

Bayesian Deep Convolutional Networks with Many Channels are Gaussian Processes

11 October 2018
Roman Novak
Lechao Xiao
Jaehoon Lee
Yasaman Bahri
Greg Yang
Jiri Hron
Daniel A. Abolafia
Jeffrey Pennington
Jascha Narain Sohl-Dickstein
    UQCV
    BDL
ArXivPDFHTML

Papers citing "Bayesian Deep Convolutional Networks with Many Channels are Gaussian Processes"

50 / 228 papers shown
Title
Channel Estimation by Infinite Width Convolutional Networks
Channel Estimation by Infinite Width Convolutional Networks
Mohammed Mallik
Guillaume Villemaud
19
0
0
11 Apr 2025
Conditional Temporal Neural Processes with Covariance Loss
Conditional Temporal Neural Processes with Covariance Loss
Boseon Yoo
Jiwoo Lee
Janghoon Ju
Seijun Chung
Soyeon Kim
Jaesik Choi
70
15
0
01 Apr 2025
A Gap Between the Gaussian RKHS and Neural Networks: An Infinite-Center Asymptotic Analysis
A Gap Between the Gaussian RKHS and Neural Networks: An Infinite-Center Asymptotic Analysis
Akash Kumar
Rahul Parhi
Mikhail Belkin
43
0
0
22 Feb 2025
Student-t processes as infinite-width limits of posterior Bayesian neural networks
Student-t processes as infinite-width limits of posterior Bayesian neural networks
Francesco Caporali
Stefano Favaro
Dario Trevisan
BDL
179
0
0
06 Feb 2025
Proportional infinite-width infinite-depth limit for deep linear neural
  networks
Proportional infinite-width infinite-depth limit for deep linear neural networks
Federico Bassetti
Lucia Ladelli
P. Rotondo
75
1
0
22 Nov 2024
Stochastic Kernel Regularisation Improves Generalisation in Deep Kernel
  Machines
Stochastic Kernel Regularisation Improves Generalisation in Deep Kernel Machines
Edward Milsom
Ben Anson
Laurence Aitchison
28
0
0
08 Oct 2024
Function-Space MCMC for Bayesian Wide Neural Networks
Function-Space MCMC for Bayesian Wide Neural Networks
Lucia Pezzetti
Stefano Favaro
Stefano Peluchetti
BDL
130
0
0
26 Aug 2024
DKL-KAN: Scalable Deep Kernel Learning using Kolmogorov-Arnold Networks
DKL-KAN: Scalable Deep Kernel Learning using Kolmogorov-Arnold Networks
Shrenik Zinage
Sudeepta Mondal
S. Sarkar
43
6
0
30 Jul 2024
Finite Neural Networks as Mixtures of Gaussian Processes: From Provable
  Error Bounds to Prior Selection
Finite Neural Networks as Mixtures of Gaussian Processes: From Provable Error Bounds to Prior Selection
Steven Adams
A. Patané
Morteza Lahijanian
Luca Laurenti
BDL
36
2
0
26 Jul 2024
ForecastGrapher: Redefining Multivariate Time Series Forecasting with
  Graph Neural Networks
ForecastGrapher: Redefining Multivariate Time Series Forecasting with Graph Neural Networks
Wanlin Cai
Kun Wang
Hao Wu
Xiaoxu Chen
Yuankai Wu
AI4TS
24
0
0
28 May 2024
Bayesian RG Flow in Neural Network Field Theories
Bayesian RG Flow in Neural Network Field Theories
Jessica N. Howard
Marc S. Klinger
Anindita Maiti
A. G. Stapleton
68
1
0
27 May 2024
Novel Kernel Models and Exact Representor Theory for Neural Networks
  Beyond the Over-Parameterized Regime
Novel Kernel Models and Exact Representor Theory for Neural Networks Beyond the Over-Parameterized Regime
A. Shilton
Sunil R. Gupta
Santu Rana
Svetha Venkatesh
34
0
0
24 May 2024
Random ReLU Neural Networks as Non-Gaussian Processes
Random ReLU Neural Networks as Non-Gaussian Processes
Rahul Parhi
Pakshal Bohra
Ayoub El Biari
Mehrsa Pourya
Michael Unser
63
1
0
16 May 2024
Wilsonian Renormalization of Neural Network Gaussian Processes
Wilsonian Renormalization of Neural Network Gaussian Processes
Jessica N. Howard
Ro Jefferson
Anindita Maiti
Z. Ringel
BDL
72
3
0
09 May 2024
Tensor Network-Constrained Kernel Machines as Gaussian Processes
Tensor Network-Constrained Kernel Machines as Gaussian Processes
Frederiek Wesel
Kim Batselier
22
0
0
28 Mar 2024
A Unified Kernel for Neural Network Learning
A Unified Kernel for Neural Network Learning
Shao-Qun Zhang
Zong-Yi Chen
Yong-Ming Tian
Xun Lu
29
1
0
26 Mar 2024
NTK-Guided Few-Shot Class Incremental Learning
NTK-Guided Few-Shot Class Incremental Learning
Jingren Liu
Zhong Ji
Yanwei Pang
Yunlong Yu
CLL
34
3
0
19 Mar 2024
Neural Networks Asymptotic Behaviours for the Resolution of Inverse
  Problems
Neural Networks Asymptotic Behaviours for the Resolution of Inverse Problems
L. Debbio
Manuel Naviglio
Francesco Tarantelli
17
0
0
14 Feb 2024
Flexible infinite-width graph convolutional networks and the importance
  of representation learning
Flexible infinite-width graph convolutional networks and the importance of representation learning
Ben Anson
Edward Milsom
Laurence Aitchison
SSL
GNN
24
1
0
09 Feb 2024
Towards Understanding Inductive Bias in Transformers: A View From
  Infinity
Towards Understanding Inductive Bias in Transformers: A View From Infinity
Itay Lavie
Guy Gur-Ari
Z. Ringel
32
1
0
07 Feb 2024
A Survey on Statistical Theory of Deep Learning: Approximation, Training
  Dynamics, and Generative Models
A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models
Namjoon Suh
Guang Cheng
MedIm
27
12
0
14 Jan 2024
A note on regularised NTK dynamics with an application to PAC-Bayesian
  training
A note on regularised NTK dynamics with an application to PAC-Bayesian training
Eugenio Clerico
Benjamin Guedj
33
0
0
20 Dec 2023
Efficient kernel surrogates for neural network-based regression
Efficient kernel surrogates for neural network-based regression
S. Qadeer
A. Engel
Amanda A. Howard
Adam Tsou
Max Vargas
P. Stinis
Tony Chiang
13
5
0
28 Oct 2023
On the Neural Tangent Kernel of Equilibrium Models
On the Neural Tangent Kernel of Equilibrium Models
Zhili Feng
J. Zico Kolter
18
6
0
21 Oct 2023
Wide Neural Networks as Gaussian Processes: Lessons from Deep
  Equilibrium Models
Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models
Tianxiang Gao
Xiaokai Huo
Hailiang Liu
Hongyang Gao
BDL
17
8
0
16 Oct 2023
Theoretical Analysis of Robust Overfitting for Wide DNNs: An NTK
  Approach
Theoretical Analysis of Robust Overfitting for Wide DNNs: An NTK Approach
Shaopeng Fu
Di Wang
AAML
30
1
0
09 Oct 2023
Grokking as a First Order Phase Transition in Two Layer Networks
Grokking as a First Order Phase Transition in Two Layer Networks
Noa Rubin
Inbar Seroussi
Z. Ringel
37
15
0
05 Oct 2023
Leave-one-out Distinguishability in Machine Learning
Leave-one-out Distinguishability in Machine Learning
Jiayuan Ye
Anastasia Borovykh
Soufiane Hayou
Reza Shokri
33
9
0
29 Sep 2023
A Primer on Bayesian Neural Networks: Review and Debates
A Primer on Bayesian Neural Networks: Review and Debates
Federico Danieli
Konstantinos Pitas
M. Vladimirova
Vincent Fortuin
BDL
AAML
56
18
0
28 Sep 2023
Convolutional Deep Kernel Machines
Convolutional Deep Kernel Machines
Edward Milsom
Ben Anson
Laurence Aitchison
BDL
23
5
0
18 Sep 2023
Connecting NTK and NNGP: A Unified Theoretical Framework for Wide Neural Network Learning Dynamics
Connecting NTK and NNGP: A Unified Theoretical Framework for Wide Neural Network Learning Dynamics
Yehonatan Avidan
Qianyi Li
H. Sompolinsky
60
8
0
08 Sep 2023
Les Houches Lectures on Deep Learning at Large & Infinite Width
Les Houches Lectures on Deep Learning at Large & Infinite Width
Yasaman Bahri
Boris Hanin
Antonin Brossollet
Vittorio Erba
Christian Keup
Rosalba Pacelli
James B. Simon
AI4CE
12
2
0
04 Sep 2023
Six Lectures on Linearized Neural Networks
Six Lectures on Linearized Neural Networks
Theodor Misiakiewicz
Andrea Montanari
34
12
0
25 Aug 2023
Local Kernel Renormalization as a mechanism for feature learning in
  overparametrized Convolutional Neural Networks
Local Kernel Renormalization as a mechanism for feature learning in overparametrized Convolutional Neural Networks
R. Aiudi
R. Pacelli
A. Vezzani
R. Burioni
P. Rotondo
MLT
21
15
0
21 Jul 2023
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural
  Networks
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural Networks
Inbar Seroussi
Asaf Miron
Z. Ringel
PINN
37
0
0
12 Jul 2023
Fundamental limits of overparametrized shallow neural networks for
  supervised learning
Fundamental limits of overparametrized shallow neural networks for supervised learning
Francesco Camilli
D. Tieplova
Jean Barbier
30
9
0
11 Jul 2023
Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
Zhengdao Chen
35
1
0
03 Jul 2023
Initial Guessing Bias: How Untrained Networks Favor Some Classes
Initial Guessing Bias: How Untrained Networks Favor Some Classes
Emanuele Francazi
Aurélien Lucchi
M. Baity-Jesi
AI4CE
20
3
0
01 Jun 2023
An Improved Variational Approximate Posterior for the Deep Wishart
  Process
An Improved Variational Approximate Posterior for the Deep Wishart Process
Sebastian W. Ober
Ben Anson
Edward Milsom
Laurence Aitchison
BDL
29
5
0
23 May 2023
Squared Neural Families: A New Class of Tractable Density Models
Squared Neural Families: A New Class of Tractable Density Models
Russell Tsuchida
Cheng Soon Ong
Dino Sejdinovic
TPM
26
11
0
22 May 2023
Posterior Inference on Shallow Infinitely Wide Bayesian Neural Networks
  under Weights with Unbounded Variance
Posterior Inference on Shallow Infinitely Wide Bayesian Neural Networks under Weights with Unbounded Variance
Jorge Loría
A. Bhadra
UQCV
BDL
26
1
0
18 May 2023
Non-asymptotic approximations of Gaussian neural networks via
  second-order Poincaré inequalities
Non-asymptotic approximations of Gaussian neural networks via second-order Poincaré inequalities
Alberto Bordino
Stefano Favaro
S. Fortini
18
7
0
08 Apr 2023
Neural signature kernels as infinite-width-depth-limits of controlled
  ResNets
Neural signature kernels as infinite-width-depth-limits of controlled ResNets
Nicola Muca Cirone
M. Lemercier
C. Salvi
16
23
0
30 Mar 2023
Inferring networks from time series: a neural approach
Inferring networks from time series: a neural approach
Thomas Gaskin
G. Pavliotis
Mark Girolami
AI4TS
29
7
0
30 Mar 2023
Online Learning for the Random Feature Model in the Student-Teacher
  Framework
Online Learning for the Random Feature Model in the Student-Teacher Framework
Roman Worschech
B. Rosenow
38
0
0
24 Mar 2023
Kernel Regression with Infinite-Width Neural Networks on Millions of
  Examples
Kernel Regression with Infinite-Width Neural Networks on Millions of Examples
Ben Adlam
Jaehoon Lee
Shreyas Padhy
Zachary Nado
Jasper Snoek
15
11
0
09 Mar 2023
Guided Deep Kernel Learning
Guided Deep Kernel Learning
Idan Achituve
Gal Chechik
Ethan Fetaya
BDL
31
5
0
19 Feb 2023
Graph Neural Network-Inspired Kernels for Gaussian Processes in
  Semi-Supervised Learning
Graph Neural Network-Inspired Kernels for Gaussian Processes in Semi-Supervised Learning
Zehao Niu
M. Anitescu
Jing Chen
BDL
19
4
0
12 Feb 2023
A Simple Algorithm For Scaling Up Kernel Methods
A Simple Algorithm For Scaling Up Kernel Methods
Tengyu Xu
Bryan T. Kelly
Semyon Malamud
11
0
0
26 Jan 2023
Statistical Physics of Deep Neural Networks: Initialization toward
  Optimal Channels
Statistical Physics of Deep Neural Networks: Initialization toward Optimal Channels
Kangyu Weng
Aohua Cheng
Ziyang Zhang
Pei Sun
Yang Tian
48
2
0
04 Dec 2022
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