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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
Infinite Width Graph Neural Networks for Node Regression/ Classification
Infinite Width Graph Neural Networks for Node Regression/ Classification
Yunus Cobanoglu
AI4CE
26
1
0
12 Oct 2023
Commutative Width and Depth Scaling in Deep Neural Networks
Commutative Width and Depth Scaling in Deep Neural Networks
Soufiane Hayou
49
2
0
02 Oct 2023
Depthwise Hyperparameter Transfer in Residual Networks: Dynamics and
  Scaling Limit
Depthwise Hyperparameter Transfer in Residual Networks: Dynamics and Scaling Limit
Blake Bordelon
Lorenzo Noci
Mufan Li
Boris Hanin
Cengiz Pehlevan
35
22
0
28 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
26
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
27
2
0
04 Sep 2023
Six Lectures on Linearized Neural Networks
Six Lectures on Linearized Neural Networks
Theodor Misiakiewicz
Andrea Montanari
47
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
Quantitative CLTs in Deep Neural Networks
Quantitative CLTs in Deep Neural Networks
Stefano Favaro
Boris Hanin
Domenico Marinucci
I. Nourdin
G. Peccati
BDL
41
12
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
38
9
0
11 Jul 2023
Neural Network Field Theories: Non-Gaussianity, Actions, and Locality
Neural Network Field Theories: Non-Gaussianity, Actions, and Locality
M. Demirtaş
James Halverson
Anindita Maiti
M. Schwartz
Keegan Stoner
AI4CE
23
10
0
06 Jul 2023
Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
Zhengdao Chen
44
1
0
03 Jul 2023
The Shaped Transformer: Attention Models in the Infinite Depth-and-Width
  Limit
The Shaped Transformer: Attention Models in the Infinite Depth-and-Width Limit
Lorenzo Noci
Chuning Li
Mufan Li
Bobby He
Thomas Hofmann
Chris J. Maddison
Daniel M. Roy
38
31
0
30 Jun 2023
Gaussian random field approximation via Stein's method with applications
  to wide random neural networks
Gaussian random field approximation via Stein's method with applications to wide random neural networks
Krishnakumar Balasubramanian
L. Goldstein
Nathan Ross
Adil Salim
35
8
0
28 Jun 2023
Uniform Convergence of Deep Neural Networks with Lipschitz Continuous
  Activation Functions and Variable Widths
Uniform Convergence of Deep Neural Networks with Lipschitz Continuous Activation Functions and Variable Widths
Yuesheng Xu
Haizhang Zhang
39
3
0
02 Jun 2023
Initial Guessing Bias: How Untrained Networks Favor Some Classes
Initial Guessing Bias: How Untrained Networks Favor Some Classes
Emanuele Francazi
Aurelien Lucchi
Marco Baity-Jesi
AI4CE
28
4
0
01 Jun 2023
Synaptic Weight Distributions Depend on the Geometry of Plasticity
Synaptic Weight Distributions Depend on the Geometry of Plasticity
Roman Pogodin
Jonathan H. Cornford
Arna Ghosh
Gauthier Gidel
Guillaume Lajoie
Blake A. Richards
23
4
0
30 May 2023
A Rainbow in Deep Network Black Boxes
A Rainbow in Deep Network Black Boxes
Florentin Guth
Brice Ménard
G. Rochette
S. Mallat
30
10
0
29 May 2023
On the impact of activation and normalization in obtaining isometric
  embeddings at initialization
On the impact of activation and normalization in obtaining isometric embeddings at initialization
Amir Joudaki
Hadi Daneshmand
Francis R. Bach
21
9
0
28 May 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
31
5
0
23 May 2023
Mind the spikes: Benign overfitting of kernels and neural networks in
  fixed dimension
Mind the spikes: Benign overfitting of kernels and neural networks in fixed dimension
Moritz Haas
David Holzmüller
U. V. Luxburg
Ingo Steinwart
MLT
40
14
0
23 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
39
1
0
18 May 2023
Structures of Neural Network Effective Theories
Structures of Neural Network Effective Theories
cCaugin Ararat
Tianji Cai
Cem Tekin
Zhengkang Zhang
57
7
0
03 May 2023
When Do Graph Neural Networks Help with Node Classification?
  Investigating the Impact of Homophily Principle on Node Distinguishability
When Do Graph Neural Networks Help with Node Classification? Investigating the Impact of Homophily Principle on Node Distinguishability
Sitao Luan
Chenqing Hua
Minkai Xu
Qincheng Lu
Jiaqi Zhu
Xiaoming Chang
Jie Fu
J. Leskovec
Doina Precup
44
3
0
25 Apr 2023
Do deep neural networks have an inbuilt Occam's razor?
Do deep neural networks have an inbuilt Occam's razor?
Chris Mingard
Henry Rees
Guillermo Valle Pérez
A. Louis
UQCV
BDL
21
16
0
13 Apr 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
28
7
0
08 Apr 2023
Infinitely wide limits for deep Stable neural networks: sub-linear,
  linear and super-linear activation functions
Infinitely wide limits for deep Stable neural networks: sub-linear, linear and super-linear activation functions
Alberto Bordino
Stefano Favaro
S. Fortini
32
7
0
08 Apr 2023
Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean
  Field Neural Networks
Dynamics of Finite Width Kernel and Prediction Fluctuations in Mean Field Neural Networks
Blake Bordelon
Cengiz Pehlevan
MLT
38
29
0
06 Apr 2023
Biological Sequence Kernels with Guaranteed Flexibility
Biological Sequence Kernels with Guaranteed Flexibility
Alan N. Amin
Eli N. Weinstein
D. Marks
40
4
0
06 Apr 2023
Effective Theory of Transformers at Initialization
Effective Theory of Transformers at Initialization
Emily Dinan
Sho Yaida
Susan Zhang
30
14
0
04 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
24
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
32
7
0
30 Mar 2023
Sparse Gaussian Processes with Spherical Harmonic Features Revisited
Sparse Gaussian Processes with Spherical Harmonic Features Revisited
Stefanos Eleftheriadis
Dominic Richards
J. Hensman
24
1
0
28 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
46
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
26
11
0
09 Mar 2023
Bayesian inference with finitely wide neural networks
Bayesian inference with finitely wide neural networks
Chi-Ken Lu
BDL
37
0
0
06 Mar 2023
Deep Transformers without Shortcuts: Modifying Self-attention for
  Faithful Signal Propagation
Deep Transformers without Shortcuts: Modifying Self-attention for Faithful Signal Propagation
Bobby He
James Martens
Guodong Zhang
Aleksandar Botev
Andy Brock
Samuel L. Smith
Yee Whye Teh
27
30
0
20 Feb 2023
Guided Deep Kernel Learning
Guided Deep Kernel Learning
Idan Achituve
Gal Chechik
Ethan Fetaya
BDL
31
5
0
19 Feb 2023
The Geometry of Neural Nets' Parameter Spaces Under Reparametrization
The Geometry of Neural Nets' Parameter Spaces Under Reparametrization
Agustinus Kristiadi
Felix Dangel
Philipp Hennig
32
11
0
14 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
27
4
0
12 Feb 2023
Over-parameterised Shallow Neural Networks with Asymmetrical Node Scaling: Global Convergence Guarantees and Feature Learning
Over-parameterised Shallow Neural Networks with Asymmetrical Node Scaling: Global Convergence Guarantees and Feature Learning
François Caron
Fadhel Ayed
Paul Jung
Hoileong Lee
Juho Lee
Hongseok Yang
67
2
0
02 Feb 2023
Width and Depth Limits Commute in Residual Networks
Width and Depth Limits Commute in Residual Networks
Soufiane Hayou
Greg Yang
47
14
0
01 Feb 2023
Deterministic equivalent and error universality of deep random features
  learning
Deterministic equivalent and error universality of deep random features learning
Dominik Schröder
Hugo Cui
Daniil Dmitriev
Bruno Loureiro
MLT
37
28
0
01 Feb 2023
Bayes-optimal Learning of Deep Random Networks of Extensive-width
Bayes-optimal Learning of Deep Random Networks of Extensive-width
Hugo Cui
Florent Krzakala
Lenka Zdeborová
BDL
30
35
0
01 Feb 2023
Gradient Descent in Neural Networks as Sequential Learning in RKBS
Gradient Descent in Neural Networks as Sequential Learning in RKBS
A. Shilton
Sunil R. Gupta
Santu Rana
Svetha Venkatesh
MLT
19
1
0
01 Feb 2023
Deep networks for system identification: a Survey
Deep networks for system identification: a Survey
G. Pillonetto
Aleksandr Aravkin
Daniel Gedon
L. Ljung
Antônio H. Ribeiro
Thomas B. Schon
OOD
37
36
0
30 Jan 2023
A Simple Algorithm For Scaling Up Kernel Methods
A Simple Algorithm For Scaling Up Kernel Methods
Tengyu Xu
Bryan Kelly
Semyon Malamud
21
0
0
26 Jan 2023
Neural networks learn to magnify areas near decision boundaries
Neural networks learn to magnify areas near decision boundaries
Jacob A. Zavatone-Veth
Sheng Yang
Julian Rubinfien
Cengiz Pehlevan
MLT
AI4CE
28
6
0
26 Jan 2023
Estimating Causal Effects using a Multi-task Deep Ensemble
Estimating Causal Effects using a Multi-task Deep Ensemble
Ziyang Jiang
Zhuoran Hou
Yi-Ling Liu
Yiman Ren
Keyu Li
David Carlson
CML
24
6
0
26 Jan 2023
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