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Limitations of Lazy Training of Two-layers Neural Networks

Limitations of Lazy Training of Two-layers Neural Networks

21 June 2019
Behrooz Ghorbani
Song Mei
Theodor Misiakiewicz
Andrea Montanari
    MLT
ArXivPDFHTML

Papers citing "Limitations of Lazy Training of Two-layers Neural Networks"

44 / 44 papers shown
Title
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Asymptotic Analysis of Two-Layer Neural Networks after One Gradient Step under Gaussian Mixtures Data with Structure
Samet Demir
Zafer Dogan
MLT
36
0
0
02 Mar 2025
Learning Multi-Index Models with Neural Networks via Mean-Field Langevin Dynamics
Learning Multi-Index Models with Neural Networks via Mean-Field Langevin Dynamics
Alireza Mousavi-Hosseini
Denny Wu
Murat A. Erdogdu
MLT
AI4CE
37
6
0
14 Aug 2024
Disentangling and Mitigating the Impact of Task Similarity for Continual
  Learning
Disentangling and Mitigating the Impact of Task Similarity for Continual Learning
Naoki Hiratani
CLL
40
2
0
30 May 2024
Gradient-Based Feature Learning under Structured Data
Gradient-Based Feature Learning under Structured Data
Alireza Mousavi-Hosseini
Denny Wu
Taiji Suzuki
Murat A. Erdogdu
MLT
39
18
0
07 Sep 2023
The RL Perceptron: Generalisation Dynamics of Policy Learning in High
  Dimensions
The RL Perceptron: Generalisation Dynamics of Policy Learning in High Dimensions
Nishil Patel
Sebastian Lee
Stefano Sarao Mannelli
Sebastian Goldt
Adrew Saxe
OffRL
36
3
0
17 Jun 2023
Least Squares Regression Can Exhibit Under-Parameterized Double Descent
Least Squares Regression Can Exhibit Under-Parameterized Double Descent
Xinyue Li
Rishi Sonthalia
44
3
0
24 May 2023
Provable Guarantees for Nonlinear Feature Learning in Three-Layer Neural Networks
Provable Guarantees for Nonlinear Feature Learning in Three-Layer Neural Networks
Eshaan Nichani
Alexandru Damian
Jason D. Lee
MLT
47
13
0
11 May 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
48
0
0
24 Mar 2023
Global Optimality of Elman-type RNN in the Mean-Field Regime
Global Optimality of Elman-type RNN in the Mean-Field Regime
Andrea Agazzi
Jian-Xiong Lu
Sayan Mukherjee
MLT
34
1
0
12 Mar 2023
Primal and Dual Analysis of Entropic Fictitious Play for Finite-sum
  Problems
Primal and Dual Analysis of Entropic Fictitious Play for Finite-sum Problems
Atsushi Nitanda
Kazusato Oko
Denny Wu
Nobuhito Takenouchi
Taiji Suzuki
32
3
0
06 Mar 2023
Generalization on the Unseen, Logic Reasoning and Degree Curriculum
Generalization on the Unseen, Logic Reasoning and Degree Curriculum
Emmanuel Abbe
Samy Bengio
Aryo Lotfi
Kevin Rizk
LRM
48
49
0
30 Jan 2023
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer
  Neural Networks
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks
Zhengdao Chen
Eric Vanden-Eijnden
Joan Bruna
MLT
27
5
0
28 Oct 2022
Neural Networks Efficiently Learn Low-Dimensional Representations with
  SGD
Neural Networks Efficiently Learn Low-Dimensional Representations with SGD
Alireza Mousavi-Hosseini
Sejun Park
M. Girotti
Ioannis Mitliagkas
Murat A. Erdogdu
MLT
324
48
0
29 Sep 2022
Neural Networks can Learn Representations with Gradient Descent
Neural Networks can Learn Representations with Gradient Descent
Alexandru Damian
Jason D. Lee
Mahdi Soltanolkotabi
SSL
MLT
25
114
0
30 Jun 2022
Learning sparse features can lead to overfitting in neural networks
Learning sparse features can lead to overfitting in neural networks
Leonardo Petrini
Francesco Cagnetta
Eric Vanden-Eijnden
M. Wyart
MLT
42
23
0
24 Jun 2022
Identifying good directions to escape the NTK regime and efficiently
  learn low-degree plus sparse polynomials
Identifying good directions to escape the NTK regime and efficiently learn low-degree plus sparse polynomials
Eshaan Nichani
Yunzhi Bai
Jason D. Lee
29
10
0
08 Jun 2022
Fast Instrument Learning with Faster Rates
Fast Instrument Learning with Faster Rates
Ziyu Wang
Yuhao Zhou
Jun Zhu
29
3
0
22 May 2022
High-dimensional Asymptotics of Feature Learning: How One Gradient Step
  Improves the Representation
High-dimensional Asymptotics of Feature Learning: How One Gradient Step Improves the Representation
Jimmy Ba
Murat A. Erdogdu
Taiji Suzuki
Zhichao Wang
Denny Wu
Greg Yang
MLT
42
121
0
03 May 2022
On Feature Learning in Neural Networks with Global Convergence
  Guarantees
On Feature Learning in Neural Networks with Global Convergence Guarantees
Zhengdao Chen
Eric Vanden-Eijnden
Joan Bruna
MLT
36
13
0
22 Apr 2022
On the (Non-)Robustness of Two-Layer Neural Networks in Different
  Learning Regimes
On the (Non-)Robustness of Two-Layer Neural Networks in Different Learning Regimes
Elvis Dohmatob
A. Bietti
AAML
39
13
0
22 Mar 2022
Random Feature Amplification: Feature Learning and Generalization in
  Neural Networks
Random Feature Amplification: Feature Learning and Generalization in Neural Networks
Spencer Frei
Niladri S. Chatterji
Peter L. Bartlett
MLT
30
29
0
15 Feb 2022
Convex Analysis of the Mean Field Langevin Dynamics
Convex Analysis of the Mean Field Langevin Dynamics
Atsushi Nitanda
Denny Wu
Taiji Suzuki
MLT
77
64
0
25 Jan 2022
Subquadratic Overparameterization for Shallow Neural Networks
Subquadratic Overparameterization for Shallow Neural Networks
Chaehwan Song
Ali Ramezani-Kebrya
Thomas Pethick
Armin Eftekhari
V. Cevher
30
31
0
02 Nov 2021
Deformed semicircle law and concentration of nonlinear random matrices
  for ultra-wide neural networks
Deformed semicircle law and concentration of nonlinear random matrices for ultra-wide neural networks
Zhichao Wang
Yizhe Zhu
37
18
0
20 Sep 2021
Deep Networks Provably Classify Data on Curves
Deep Networks Provably Classify Data on Curves
Tingran Wang
Sam Buchanan
D. Gilboa
John N. Wright
23
9
0
29 Jul 2021
Continual Learning in the Teacher-Student Setup: Impact of Task
  Similarity
Continual Learning in the Teacher-Student Setup: Impact of Task Similarity
Sebastian Lee
Sebastian Goldt
Andrew M. Saxe
CLL
32
73
0
09 Jul 2021
The Limitations of Large Width in Neural Networks: A Deep Gaussian
  Process Perspective
The Limitations of Large Width in Neural Networks: A Deep Gaussian Process Perspective
Geoff Pleiss
John P. Cunningham
28
24
0
11 Jun 2021
Relative stability toward diffeomorphisms indicates performance in deep
  nets
Relative stability toward diffeomorphisms indicates performance in deep nets
Leonardo Petrini
Alessandro Favero
Mario Geiger
M. Wyart
OOD
38
15
0
06 May 2021
On Energy-Based Models with Overparametrized Shallow Neural Networks
On Energy-Based Models with Overparametrized Shallow Neural Networks
Carles Domingo-Enrich
A. Bietti
Eric Vanden-Eijnden
Joan Bruna
BDL
33
9
0
15 Apr 2021
A Priori Generalization Analysis of the Deep Ritz Method for Solving
  High Dimensional Elliptic Equations
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations
Jianfeng Lu
Yulong Lu
Min Wang
36
37
0
05 Jan 2021
Align, then memorise: the dynamics of learning with feedback alignment
Align, then memorise: the dynamics of learning with feedback alignment
Maria Refinetti
Stéphane dÁscoli
Ruben Ohana
Sebastian Goldt
31
36
0
24 Nov 2020
Beyond Signal Propagation: Is Feature Diversity Necessary in Deep Neural
  Network Initialization?
Beyond Signal Propagation: Is Feature Diversity Necessary in Deep Neural Network Initialization?
Yaniv Blumenfeld
D. Gilboa
Daniel Soudry
ODL
30
13
0
02 Jul 2020
The Gaussian equivalence of generative models for learning with shallow
  neural networks
The Gaussian equivalence of generative models for learning with shallow neural networks
Sebastian Goldt
Bruno Loureiro
Galen Reeves
Florent Krzakala
M. Mézard
Lenka Zdeborová
BDL
41
100
0
25 Jun 2020
When Does Preconditioning Help or Hurt Generalization?
When Does Preconditioning Help or Hurt Generalization?
S. Amari
Jimmy Ba
Roger C. Grosse
Xuechen Li
Atsushi Nitanda
Taiji Suzuki
Denny Wu
Ji Xu
36
32
0
18 Jun 2020
Shape Matters: Understanding the Implicit Bias of the Noise Covariance
Shape Matters: Understanding the Implicit Bias of the Noise Covariance
Jeff Z. HaoChen
Colin Wei
Jason D. Lee
Tengyu Ma
32
94
0
15 Jun 2020
Spectra of the Conjugate Kernel and Neural Tangent Kernel for
  linear-width neural networks
Spectra of the Conjugate Kernel and Neural Tangent Kernel for linear-width neural networks
Z. Fan
Zhichao Wang
44
71
0
25 May 2020
Random Features for Kernel Approximation: A Survey on Algorithms,
  Theory, and Beyond
Random Features for Kernel Approximation: A Survey on Algorithms, Theory, and Beyond
Fanghui Liu
Xiaolin Huang
Yudong Chen
Johan A. K. Suykens
BDL
44
172
0
23 Apr 2020
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable
  Optimization Via Overparameterization From Depth
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth
Yiping Lu
Chao Ma
Yulong Lu
Jianfeng Lu
Lexing Ying
MLT
39
78
0
11 Mar 2020
Learning Parities with Neural Networks
Learning Parities with Neural Networks
Amit Daniely
Eran Malach
24
76
0
18 Feb 2020
Proving the Lottery Ticket Hypothesis: Pruning is All You Need
Proving the Lottery Ticket Hypothesis: Pruning is All You Need
Eran Malach
Gilad Yehudai
Shai Shalev-Shwartz
Ohad Shamir
64
271
0
03 Feb 2020
Beyond Linearization: On Quadratic and Higher-Order Approximation of
  Wide Neural Networks
Beyond Linearization: On Quadratic and Higher-Order Approximation of Wide Neural Networks
Yu Bai
Jason D. Lee
24
116
0
03 Oct 2019
Asymptotics of Wide Networks from Feynman Diagrams
Asymptotics of Wide Networks from Feynman Diagrams
Ethan Dyer
Guy Gur-Ari
32
114
0
25 Sep 2019
Linearized two-layers neural networks in high dimension
Linearized two-layers neural networks in high dimension
Behrooz Ghorbani
Song Mei
Theodor Misiakiewicz
Andrea Montanari
MLT
18
241
0
27 Apr 2019
Sharp analysis of low-rank kernel matrix approximations
Sharp analysis of low-rank kernel matrix approximations
Francis R. Bach
86
280
0
09 Aug 2012
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