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Gaussian Process Behaviour in Wide Deep Neural Networks

Gaussian Process Behaviour in Wide Deep Neural Networks

30 April 2018
A. G. Matthews
Mark Rowland
Jiri Hron
Richard Turner
Zoubin Ghahramani
    BDL
ArXivPDFHTML

Papers citing "Gaussian Process Behaviour in Wide Deep Neural Networks"

50 / 391 papers shown
Title
Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime
Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime
Francesco Camilli
D. Tieplova
Eleonora Bergamin
Jean Barbier
138
0
0
06 May 2025
Channel Estimation by Infinite Width Convolutional Networks
Channel Estimation by Infinite Width Convolutional Networks
Mohammed Mallik
Guillaume Villemaud
24
0
0
11 Apr 2025
Fractal and Regular Geometry of Deep Neural Networks
Fractal and Regular Geometry of Deep Neural Networks
Simmaco Di Lillo
Domenico Marinucci
Michele Salvi
Stefano Vigogna
MDE
AI4CE
36
0
0
08 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
Deep Neural Nets as Hamiltonians
Deep Neural Nets as Hamiltonians
Mike Winer
Boris Hanin
160
0
0
31 Mar 2025
The Architecture and Evaluation of Bayesian Neural Networks
The Architecture and Evaluation of Bayesian Neural Networks
Alisa Sheinkman
Sara Wade
UQCV
BDL
72
0
0
14 Mar 2025
Uncertainty Quantification From Scaling Laws in Deep Neural Networks
Ibrahim Elsharkawy
Yonatan Kahn
Benjamin Hooberman
UQCV
52
0
0
07 Mar 2025
Differential Coding for Training-Free ANN-to-SNN Conversion
Zihan Huang
Wei Fang
Tong Bu
Peng Xue
Zecheng Hao
Xiaohan Yu
Yuanhong Tang
Zhaofei Yu
Tiejun Huang
41
0
0
01 Mar 2025
Feature maps for the Laplacian kernel and its generalizations
Feature maps for the Laplacian kernel and its generalizations
Sudhendu Ahir
Parthe Pandit
65
0
0
24 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
197
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
Variational Bayesian Bow tie Neural Networks with Shrinkage
Alisa Sheinkman
Sara Wade
BDL
UQCV
48
0
0
17 Nov 2024
On learning higher-order cumulants in diffusion models
On learning higher-order cumulants in diffusion models
Gert Aarts
Diaa E. Habibi
Lei Wang
K. Zhou
26
4
0
28 Oct 2024
A Lipschitz spaces view of infinitely wide shallow neural networks
A Lipschitz spaces view of infinitely wide shallow neural networks
Francesca Bartolucci
Marcello Carioni
José A. Iglesias
Yury Korolev
Emanuele Naldi
Stefano Vigogna
23
0
0
18 Oct 2024
Correspondence of NNGP Kernel and the Matern Kernel
Correspondence of NNGP Kernel and the Matern Kernel
Amanda Muyskens
Benjamin W. Priest
I. Goumiri
M. Schneider
BDL
23
1
0
10 Oct 2024
Deep Kernel Posterior Learning under Infinite Variance Prior Weights
Deep Kernel Posterior Learning under Infinite Variance Prior Weights
Jorge Loría
A. Bhadra
BDL
UQCV
66
0
0
02 Oct 2024
Predicting and analyzing memorization within fine-tuned Large Language
  Models
Predicting and analyzing memorization within fine-tuned Large Language Models
Jérémie Dentan
Davide Buscaldi
A. Shabou
Sonia Vanier
37
0
0
27 Sep 2024
Functional Stochastic Gradient MCMC for Bayesian Neural Networks
Functional Stochastic Gradient MCMC for Bayesian Neural Networks
Mengjing Wu
Junyu Xuan
Jie Lu
BDL
18
0
0
25 Sep 2024
Re-evaluating the Advancements of Heterophilic Graph Learning
Re-evaluating the Advancements of Heterophilic Graph Learning
Sitao Luan
Qincheng Lu
Chenqing Hua
Xinyu Wang
Jiaqi Zhu
Xiao-Wen Chang
57
2
0
09 Sep 2024
Function-Space MCMC for Bayesian Wide Neural Networks
Function-Space MCMC for Bayesian Wide Neural Networks
Lucia Pezzetti
Stefano Favaro
Stefano Peluchetti
BDL
162
0
0
26 Aug 2024
Source-Free Domain-Invariant Performance Prediction
Source-Free Domain-Invariant Performance Prediction
Ekaterina Khramtsova
Mahsa Baktashmotlagh
Guido Zuccon
Xi Wang
Mathieu Salzmann
UQCV
48
1
0
05 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
46
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
A UAV-assisted Wireless Localization Challenge on AERPAW
A UAV-assisted Wireless Localization Challenge on AERPAW
Paul S. Kudyba
Jaya Sravani Mandapaka
Weijie Wang
Logan McCorkendale
Zachary McCorkendale
...
Eric Adams
K. Namuduri
Fraida Fund
Mihail L. Sichitiu
Ozgur Ozdemir
28
2
0
16 Jul 2024
Exploiting the equivalence between quantum neural networks and
  perceptrons
Exploiting the equivalence between quantum neural networks and perceptrons
Chris Mingard
Jessica Pointing
Charles London
Yoonsoo Nam
Ard A. Louis
40
2
0
05 Jul 2024
Coding schemes in neural networks learning classification tasks
Coding schemes in neural networks learning classification tasks
Alexander van Meegen
H. Sompolinsky
39
6
0
24 Jun 2024
Crafting Heavy-Tails in Weight Matrix Spectrum without Gradient Noise
Crafting Heavy-Tails in Weight Matrix Spectrum without Gradient Noise
Vignesh Kothapalli
Tianyu Pang
Shenyang Deng
Zongmin Liu
Yaoqing Yang
40
3
0
07 Jun 2024
Understanding and Minimising Outlier Features in Neural Network Training
Understanding and Minimising Outlier Features in Neural Network Training
Bobby He
Lorenzo Noci
Daniele Paliotta
Imanol Schlag
Thomas Hofmann
39
3
0
29 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
Dissecting the Interplay of Attention Paths in a Statistical Mechanics
  Theory of Transformers
Dissecting the Interplay of Attention Paths in a Statistical Mechanics Theory of Transformers
Lorenzo Tiberi
Francesca Mignacco
Kazuki Irie
H. Sompolinsky
44
6
0
24 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
Spectral complexity of deep neural networks
Spectral complexity of deep neural networks
Simmaco Di Lillo
Domenico Marinucci
Michele Salvi
Stefano Vigogna
BDL
82
1
0
15 May 2024
Wilsonian Renormalization of Neural Network Gaussian Processes
Wilsonian Renormalization of Neural Network Gaussian Processes
Jessica N. Howard
Ro Jefferson
Anindita Maiti
Zohar Ringel
BDL
80
3
0
09 May 2024
Implicit Neural Representations for Robust Joint Sparse-View CT
  Reconstruction
Implicit Neural Representations for Robust Joint Sparse-View CT Reconstruction
Jiayang Shi
Junyi Zhu
D. Pelt
K. Batenburg
Matthew B. Blaschko
35
3
0
03 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
Deep Horseshoe Gaussian Processes
Deep Horseshoe Gaussian Processes
Ismael Castillo
Thibault Randrianarisoa
BDL
UQCV
44
5
0
04 Mar 2024
Neural Redshift: Random Networks are not Random Functions
Neural Redshift: Random Networks are not Random Functions
Damien Teney
A. Nicolicioiu
Valentin Hartmann
Ehsan Abbasnejad
103
18
0
04 Mar 2024
Asymptotics of Learning with Deep Structured (Random) Features
Asymptotics of Learning with Deep Structured (Random) Features
Dominik Schröder
Daniil Dmitriev
Hugo Cui
Bruno Loureiro
56
6
0
21 Feb 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
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Chengxi Zeng
T. Burghardt
A. Gambaruto
41
1
0
10 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
32
1
0
09 Feb 2024
Position: Bayesian Deep Learning is Needed in the Age of Large-Scale AI
Position: Bayesian Deep Learning is Needed in the Age of Large-Scale AI
Theodore Papamarkou
Maria Skoularidou
Konstantina Palla
Laurence Aitchison
Julyan Arbel
...
David Rügamer
Yee Whye Teh
Max Welling
Andrew Gordon Wilson
Ruqi Zhang
UQCV
BDL
42
27
0
01 Feb 2024
Improving the Expressive Power of Deep Neural Networks through Integral
  Activation Transform
Improving the Expressive Power of Deep Neural Networks through Integral Activation Transform
Zezhong Zhang
Feng Bao
Guannan Zhang
22
0
0
19 Dec 2023
Wide Deep Neural Networks with Gaussian Weights are Very Close to
  Gaussian Processes
Wide Deep Neural Networks with Gaussian Weights are Very Close to Gaussian Processes
Dario Trevisan
UQCV
BDL
30
7
0
18 Dec 2023
Duality of Bures and Shape Distances with Implications for Comparing
  Neural Representations
Duality of Bures and Shape Distances with Implications for Comparing Neural Representations
Sarah E. Harvey
Brett W. Larsen
Alex H. Williams
90
11
0
19 Nov 2023
Simplifying Transformer Blocks
Simplifying Transformer Blocks
Bobby He
Thomas Hofmann
27
30
0
03 Nov 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
25
8
0
16 Oct 2023
On permutation symmetries in Bayesian neural network posteriors: a
  variational perspective
On permutation symmetries in Bayesian neural network posteriors: a variational perspective
Simone Rossi
Ankit Singh
T. Hannagan
32
2
0
16 Oct 2023
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