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Dynamics of stochastic gradient descent for two-layer neural networks in
  the teacher-student setup

Dynamics of stochastic gradient descent for two-layer neural networks in the teacher-student setup

18 June 2019
Sebastian Goldt
Madhu S. Advani
Andrew M. Saxe
Florent Krzakala
Lenka Zdeborová
    MLT
ArXivPDFHTML

Papers citing "Dynamics of stochastic gradient descent for two-layer neural networks in the teacher-student setup"

32 / 32 papers shown
Title
Analytic theory of dropout regularization
Analytic theory of dropout regularization
Francesco Mori
Francesca Mignacco
29
0
0
12 May 2025
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
109
0
0
06 May 2025
Make Haste Slowly: A Theory of Emergent Structured Mixed Selectivity in Feature Learning ReLU Networks
Make Haste Slowly: A Theory of Emergent Structured Mixed Selectivity in Feature Learning ReLU Networks
Devon Jarvis
Richard Klein
Benjamin Rosman
Andrew M. Saxe
MLT
66
1
0
08 Mar 2025
Learning Gaussian Multi-Index Models with Gradient Flow: Time Complexity and Directional Convergence
Learning Gaussian Multi-Index Models with Gradient Flow: Time Complexity and Directional Convergence
Berfin Simsek
Amire Bendjeddou
Daniel Hsu
44
0
0
13 Nov 2024
How a student becomes a teacher: learning and forgetting through
  Spectral methods
How a student becomes a teacher: learning and forgetting through Spectral methods
Lorenzo Giambagli
L. Buffoni
Lorenzo Chicchi
Duccio Fanelli
19
7
0
19 Oct 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
28
3
0
17 Jun 2023
Phase transitions in the mini-batch size for sparse and dense two-layer
  neural networks
Phase transitions in the mini-batch size for sparse and dense two-layer neural networks
Raffaele Marino
F. Ricci-Tersenghi
30
14
0
10 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
38
0
0
24 Mar 2023
From high-dimensional & mean-field dynamics to dimensionless ODEs: A
  unifying approach to SGD in two-layers networks
From high-dimensional & mean-field dynamics to dimensionless ODEs: A unifying approach to SGD in two-layers networks
Luca Arnaboldi
Ludovic Stephan
Florent Krzakala
Bruno Loureiro
MLT
30
31
0
12 Feb 2023
Learning Single-Index Models with Shallow Neural Networks
Learning Single-Index Models with Shallow Neural Networks
A. Bietti
Joan Bruna
Clayton Sanford
M. Song
164
67
0
27 Oct 2022
Annihilation of Spurious Minima in Two-Layer ReLU Networks
Annihilation of Spurious Minima in Two-Layer ReLU Networks
Yossi Arjevani
M. Field
16
8
0
12 Oct 2022
Sudakov-Fernique post-AMP, and a new proof of the local convexity of the
  TAP free energy
Sudakov-Fernique post-AMP, and a new proof of the local convexity of the TAP free energy
Michael Celentano
31
20
0
19 Aug 2022
Hidden Progress in Deep Learning: SGD Learns Parities Near the
  Computational Limit
Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limit
Boaz Barak
Benjamin L. Edelman
Surbhi Goel
Sham Kakade
Eran Malach
Cyril Zhang
30
123
0
18 Jul 2022
Benign, Tempered, or Catastrophic: A Taxonomy of Overfitting
Benign, Tempered, or Catastrophic: A Taxonomy of Overfitting
Neil Rohit Mallinar
James B. Simon
Amirhesam Abedsoltan
Parthe Pandit
M. Belkin
Preetum Nakkiran
24
37
0
14 Jul 2022
Neural Collapse: A Review on Modelling Principles and Generalization
Neural Collapse: A Review on Modelling Principles and Generalization
Vignesh Kothapalli
21
71
0
08 Jun 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical
  scaling
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
49
58
0
08 Jun 2022
Optimal learning rate schedules in high-dimensional non-convex
  optimization problems
Optimal learning rate schedules in high-dimensional non-convex optimization problems
Stéphane dÁscoli
Maria Refinetti
Giulio Biroli
16
7
0
09 Feb 2022
Phase diagram of Stochastic Gradient Descent in high-dimensional
  two-layer neural networks
Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networks
R. Veiga
Ludovic Stephan
Bruno Loureiro
Florent Krzakala
Lenka Zdeborová
MLT
10
31
0
01 Feb 2022
Neural Capacitance: A New Perspective of Neural Network Selection via
  Edge Dynamics
Neural Capacitance: A New Perspective of Neural Network Selection via Edge Dynamics
Chunheng Jiang
Tejaswini Pedapati
Pin-Yu Chen
Yizhou Sun
Jianxi Gao
21
2
0
11 Jan 2022
Imitating Deep Learning Dynamics via Locally Elastic Stochastic
  Differential Equations
Imitating Deep Learning Dynamics via Locally Elastic Stochastic Differential Equations
Jiayao Zhang
Hua Wang
Weijie J. Su
32
7
0
11 Oct 2021
Analytic Study of Families of Spurious Minima in Two-Layer ReLU Neural
  Networks: A Tale of Symmetry II
Analytic Study of Families of Spurious Minima in Two-Layer ReLU Neural Networks: A Tale of Symmetry II
Yossi Arjevani
M. Field
28
18
0
21 Jul 2021
An Analytical Theory of Curriculum Learning in Teacher-Student Networks
An Analytical Theory of Curriculum Learning in Teacher-Student Networks
Luca Saglietti
Stefano Sarao Mannelli
Andrew M. Saxe
17
25
0
15 Jun 2021
Understanding Robustness in Teacher-Student Setting: A New Perspective
Understanding Robustness in Teacher-Student Setting: A New Perspective
Zhuolin Yang
Zhaoxi Chen
Tiffany Cai
Xinyun Chen
Bo-wen Li
Yuandong Tian
AAML
27
2
0
25 Feb 2021
Quantum field-theoretic machine learning
Quantum field-theoretic machine learning
Dimitrios Bachtis
Gert Aarts
B. Lucini
AI4CE
17
28
0
18 Feb 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
26
36
0
24 Nov 2020
Gradient Starvation: A Learning Proclivity in Neural Networks
Gradient Starvation: A Learning Proclivity in Neural Networks
Mohammad Pezeshki
Sekouba Kaba
Yoshua Bengio
Aaron Courville
Doina Precup
Guillaume Lajoie
MLT
45
257
0
18 Nov 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
38
100
0
25 Jun 2020
Generalisation Guarantees for Continual Learning with Orthogonal
  Gradient Descent
Generalisation Guarantees for Continual Learning with Orthogonal Gradient Descent
Mehdi Abbana Bennani
Thang Doan
Masashi Sugiyama
CLL
48
61
0
21 Jun 2020
Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Noam Razin
Nadav Cohen
21
155
0
13 May 2020
Hidden Unit Specialization in Layered Neural Networks: ReLU vs.
  Sigmoidal Activation
Hidden Unit Specialization in Layered Neural Networks: ReLU vs. Sigmoidal Activation
Elisa Oostwal
Michiel Straat
Michael Biehl
MLT
56
54
0
16 Oct 2019
Modelling the influence of data structure on learning in neural
  networks: the hidden manifold model
Modelling the influence of data structure on learning in neural networks: the hidden manifold model
Sebastian Goldt
M. Mézard
Florent Krzakala
Lenka Zdeborová
BDL
21
51
0
25 Sep 2019
Norm-Based Capacity Control in Neural Networks
Norm-Based Capacity Control in Neural Networks
Behnam Neyshabur
Ryota Tomioka
Nathan Srebro
119
577
0
27 Feb 2015
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