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Learning threshold neurons via the "edge of stability"

Learning threshold neurons via the "edge of stability"

14 December 2022
Kwangjun Ahn
Sébastien Bubeck
Sinho Chewi
Y. Lee
Felipe Suarez
Yi Zhang
    MLT
ArXivPDFHTML

Papers citing "Learning threshold neurons via the "edge of stability""

18 / 18 papers shown
Title
Minimax Optimal Convergence of Gradient Descent in Logistic Regression via Large and Adaptive Stepsizes
Minimax Optimal Convergence of Gradient Descent in Logistic Regression via Large and Adaptive Stepsizes
Ruiqi Zhang
Jingfeng Wu
Licong Lin
Peter L. Bartlett
15
0
0
05 Apr 2025
Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos
Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos
Dayal Singh Kalra
Tianyu He
M. Barkeshli
40
4
0
17 Feb 2025
Gradient Descent Converges Linearly to Flatter Minima than Gradient Flow in Shallow Linear Networks
Gradient Descent Converges Linearly to Flatter Minima than Gradient Flow in Shallow Linear Networks
Pierfrancesco Beneventano
Blake Woodworth
MLT
34
1
0
15 Jan 2025
Fast TRAC: A Parameter-Free Optimizer for Lifelong Reinforcement
  Learning
Fast TRAC: A Parameter-Free Optimizer for Lifelong Reinforcement Learning
Aneesh Muppidi
Zhiyu Zhang
Heng Yang
19
4
0
26 May 2024
Does SGD really happen in tiny subspaces?
Does SGD really happen in tiny subspaces?
Minhak Song
Kwangjun Ahn
Chulhee Yun
41
4
1
25 May 2024
Sharpness-Aware Minimization and the Edge of Stability
Sharpness-Aware Minimization and the Edge of Stability
Philip M. Long
Peter L. Bartlett
AAML
12
9
0
21 Sep 2023
How to escape sharp minima with random perturbations
How to escape sharp minima with random perturbations
Kwangjun Ahn
Ali Jadbabaie
S. Sra
ODL
9
6
0
25 May 2023
Gradient Descent Monotonically Decreases the Sharpness of Gradient Flow
  Solutions in Scalar Networks and Beyond
Gradient Descent Monotonically Decreases the Sharpness of Gradient Flow Solutions in Scalar Networks and Beyond
Itai Kreisler
Mor Shpigel Nacson
Daniel Soudry
Y. Carmon
6
13
0
22 May 2023
Implicit Bias of Gradient Descent for Logistic Regression at the Edge of
  Stability
Implicit Bias of Gradient Descent for Logistic Regression at the Edge of Stability
Jingfeng Wu
Vladimir Braverman
Jason D. Lee
11
16
0
19 May 2023
Convergence of Alternating Gradient Descent for Matrix Factorization
Convergence of Alternating Gradient Descent for Matrix Factorization
R. Ward
T. Kolda
9
6
0
11 May 2023
How Do Transformers Learn Topic Structure: Towards a Mechanistic
  Understanding
How Do Transformers Learn Topic Structure: Towards a Mechanistic Understanding
Yuchen Li
Yuan-Fang Li
Andrej Risteski
98
61
0
07 Mar 2023
Understanding Edge-of-Stability Training Dynamics with a Minimalist
  Example
Understanding Edge-of-Stability Training Dynamics with a Minimalist Example
Xingyu Zhu
Zixuan Wang
Xiang Wang
Mo Zhou
Rong Ge
52
35
0
07 Oct 2022
Understanding Gradient Descent on Edge of Stability in Deep Learning
Understanding Gradient Descent on Edge of Stability in Deep Learning
Sanjeev Arora
Zhiyuan Li
A. Panigrahi
MLT
67
88
0
19 May 2022
Convex Analysis of the Mean Field Langevin Dynamics
Convex Analysis of the Mean Field Langevin Dynamics
Atsushi Nitanda
Denny Wu
Taiji Suzuki
MLT
53
63
0
25 Jan 2022
Large Learning Rate Tames Homogeneity: Convergence and Balancing Effect
Large Learning Rate Tames Homogeneity: Convergence and Balancing Effect
Yuqing Wang
Minshuo Chen
T. Zhao
Molei Tao
AI4CE
47
40
0
07 Oct 2021
Catastrophic Fisher Explosion: Early Phase Fisher Matrix Impacts
  Generalization
Catastrophic Fisher Explosion: Early Phase Fisher Matrix Impacts Generalization
Stanislaw Jastrzebski
Devansh Arpit
Oliver Åstrand
Giancarlo Kerg
Huan Wang
Caiming Xiong
R. Socher
Kyunghyun Cho
Krzysztof J. Geras
AI4CE
177
64
0
28 Dec 2020
The large learning rate phase of deep learning: the catapult mechanism
The large learning rate phase of deep learning: the catapult mechanism
Aitor Lewkowycz
Yasaman Bahri
Ethan Dyer
Jascha Narain Sohl-Dickstein
Guy Gur-Ari
ODL
143
198
0
04 Mar 2020
Trainability and Accuracy of Neural Networks: An Interacting Particle
  System Approach
Trainability and Accuracy of Neural Networks: An Interacting Particle System Approach
Grant M. Rotskoff
Eric Vanden-Eijnden
49
114
0
02 May 2018
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