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1606.05340
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Exponential expressivity in deep neural networks through transient chaos
16 June 2016
Ben Poole
Subhaneil Lahiri
M. Raghu
Jascha Narain Sohl-Dickstein
Surya Ganguli
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Papers citing
"Exponential expressivity in deep neural networks through transient chaos"
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Title
Slow Transition to Low-Dimensional Chaos in Heavy-Tailed Recurrent Neural Networks
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Stefan Mihalas
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14 May 2025
Don't be lazy: CompleteP enables compute-efficient deep transformers
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Bin Claire Zhang
Lorenzo Noci
Mufan Li
Blake Bordelon
Shane Bergsma
Cengiz Pehlevan
Boris Hanin
Joel Hestness
44
1
0
02 May 2025
Deep Neural Nets as Hamiltonians
Mike Winer
Boris Hanin
187
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0
31 Mar 2025
Feature Learning Beyond the Edge of Stability
Dávid Terjék
MLT
46
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0
18 Feb 2025
A Relative Homology Theory of Representation in Neural Networks
Kosio Beshkov
99
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17 Feb 2025
Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos
Dayal Singh Kalra
Tianyu He
M. Barkeshli
57
4
0
17 Feb 2025
Robust Weight Initialization for Tanh Neural Networks with Fixed Point Analysis
Hyunwoo Lee
Hayoung Choi
Hyunju Kim
39
1
0
03 Oct 2024
Frequency and Generalisation of Periodic Activation Functions in Reinforcement Learning
Augustine N. Mavor-Parker
Matthew J. Sargent
Caswell Barry
Lewis D. Griffin
Clare Lyle
47
2
0
09 Jul 2024
Normalization and effective learning rates in reinforcement learning
Clare Lyle
Zeyu Zheng
Khimya Khetarpal
James Martens
H. V. Hasselt
Razvan Pascanu
Will Dabney
24
7
0
01 Jul 2024
Extremization to Fine Tune Physics Informed Neural Networks for Solving Boundary Value Problems
A. Thiruthummal
Sergiy Shelyag
Eun-Jin Kim
33
2
0
07 Jun 2024
Understanding and Minimising Outlier Features in Neural Network Training
Bobby He
Lorenzo Noci
Daniele Paliotta
Imanol Schlag
Thomas Hofmann
42
3
0
29 May 2024
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
Spectral complexity of deep neural networks
Simmaco Di Lillo
Domenico Marinucci
Michele Salvi
Stefano Vigogna
BDL
82
1
0
15 May 2024
Neural Redshift: Random Networks are not Random Functions
Damien Teney
A. Nicolicioiu
Valentin Hartmann
Ehsan Abbasnejad
103
19
0
04 Mar 2024
On the Neural Tangent Kernel of Equilibrium Models
Zhili Feng
J. Zico Kolter
18
6
0
21 Oct 2023
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss
T. Getu
Georges Kaddoum
M. Bennis
40
1
0
13 Sep 2023
A theory of data variability in Neural Network Bayesian inference
Javed Lindner
David Dahmen
Michael Krämer
M. Helias
BDL
32
1
0
31 Jul 2023
Deep Directly-Trained Spiking Neural Networks for Object Detection
Qiaoyi Su
Yuhong Chou
Yifan Hu
Jianing Li
Shijie Mei
Ziyang Zhang
Guoqiu Li
ObjD
21
69
0
21 Jul 2023
Quantitative CLTs in Deep Neural Networks
Stefano Favaro
Boris Hanin
Domenico Marinucci
I. Nourdin
G. Peccati
BDL
33
12
0
12 Jul 2023
Dynamical Isometry based Rigorous Fair Neural Architecture Search
Jianxiang Luo
Junyi Hu
Tianji Pang
Weihao Huang
Chuan-Hsi Liu
21
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0
05 Jul 2023
Sparsity-depth Tradeoff in Infinitely Wide Deep Neural Networks
Chanwoo Chun
Daniel D. Lee
BDL
43
2
0
17 May 2023
Provable Guarantees for Nonlinear Feature Learning in Three-Layer Neural Networks
Eshaan Nichani
Alexandru Damian
Jason D. Lee
MLT
44
13
0
11 May 2023
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
Criticality versus uniformity in deep neural networks
A. Bukva
Jurriaan de Gier
Kevin T. Grosvenor
R. Jefferson
K. Schalm
Eliot Schwander
34
3
0
10 Apr 2023
Effective Theory of Transformers at Initialization
Emily Dinan
Sho Yaida
Susan Zhang
30
14
0
04 Apr 2023
Understanding plasticity in neural networks
Clare Lyle
Zeyu Zheng
Evgenii Nikishin
Bernardo Avila-Pires
Razvan Pascanu
Will Dabney
AI4CE
40
98
0
02 Mar 2023
Width and Depth Limits Commute in Residual Networks
Soufiane Hayou
Greg Yang
47
14
0
01 Feb 2023
On the Initialisation of Wide Low-Rank Feedforward Neural Networks
Thiziri Nait Saada
Jared Tanner
13
1
0
31 Jan 2023
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
Towards NeuroAI: Introducing Neuronal Diversity into Artificial Neural Networks
Fenglei Fan
Yingxin Li
Hanchuan Peng
T. Zeng
Fei Wang
25
5
0
23 Jan 2023
Learning Reservoir Dynamics with Temporal Self-Modulation
Yusuke Sakemi
S. Nobukawa
Toshitaka Matsuki
Takashi Morie
Kazuyuki Aihara
19
6
0
23 Jan 2023
Expected Gradients of Maxout Networks and Consequences to Parameter Initialization
Hanna Tseran
Guido Montúfar
ODL
30
0
0
17 Jan 2023
Effects of Data Geometry in Early Deep Learning
Saket Tiwari
George Konidaris
82
7
0
29 Dec 2022
Statistical Physics of Deep Neural Networks: Initialization toward Optimal Channels
Kangyu Weng
Aohua Cheng
Ziyang Zhang
Pei Sun
Yang Tian
53
2
0
04 Dec 2022
Characterizing the Spectrum of the NTK via a Power Series Expansion
Michael Murray
Hui Jin
Benjamin Bowman
Guido Montúfar
38
11
0
15 Nov 2022
Deep equilibrium models as estimators for continuous latent variables
Russell Tsuchida
Cheng Soon Ong
30
8
0
11 Nov 2022
Meta-Principled Family of Hyperparameter Scaling Strategies
Sho Yaida
58
16
0
10 Oct 2022
Dynamical Isometry for Residual Networks
Advait Gadhikar
R. Burkholz
ODL
AI4CE
40
2
0
05 Oct 2022
PIM-QAT: Neural Network Quantization for Processing-In-Memory (PIM) Systems
Qing Jin
Zhiyu Chen
J. Ren
Yanyu Li
Yanzhi Wang
Kai-Min Yang
MQ
18
2
0
18 Sep 2022
AutoInit: Automatic Initialization via Jacobian Tuning
Tianyu He
Darshil Doshi
Andrey Gromov
19
4
0
27 Jun 2022
Neural Networks as Paths through the Space of Representations
Richard D. Lange
Devin Kwok
Jordan K Matelsky
Xinyue Wang
David Rolnick
Konrad Paul Kording
37
4
0
22 Jun 2022
Gaussian Pre-Activations in Neural Networks: Myth or Reality?
Pierre Wolinski
Julyan Arbel
AI4CE
76
8
0
24 May 2022
Self-Consistent Dynamical Field Theory of Kernel Evolution in Wide Neural Networks
Blake Bordelon
Cengiz Pehlevan
MLT
40
77
0
19 May 2022
Extended critical regimes of deep neural networks
Chengqing Qu
Asem Wardak
P. Gong
AI4CE
24
1
0
24 Mar 2022
Deep Learning without Shortcuts: Shaping the Kernel with Tailored Rectifiers
Guodong Zhang
Aleksandar Botev
James Martens
OffRL
39
26
0
15 Mar 2022
Interplay between depth of neural networks and locality of target functions
Takashi Mori
Masakuni Ueda
25
0
0
28 Jan 2022
Optimization-Based Separations for Neural Networks
Itay Safran
Jason D. Lee
185
14
0
04 Dec 2021
MAE-DET: Revisiting Maximum Entropy Principle in Zero-Shot NAS for Efficient Object Detection
Zhenhong Sun
Ming Lin
Xiuyu Sun
Zhiyu Tan
Hao Li
Rong Jin
23
32
0
26 Nov 2021
A Johnson--Lindenstrauss Framework for Randomly Initialized CNNs
Ido Nachum
Jan Hkazla
Michael C. Gastpar
Anatoly Khina
36
0
0
03 Nov 2021
Expressivity of Neural Networks via Chaotic Itineraries beyond Sharkovsky's Theorem
Clayton Sanford
Vaggos Chatziafratis
16
1
0
19 Oct 2021
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