Trajectory Alignment: Understanding the Edge of Stability Phenomenon via Bifurcation Theory

9 July 2023

Papers citing "Trajectory Alignment: Understanding the Edge of Stability Phenomenon via Bifurcation Theory"

9 / 9 papers shown

Title
Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos Dayal Singh Kalra Tianyu He M. Barkeshli 47 4 0 17 Feb 2025
Gradient Descent on Logistic Regression with Non-Separable Data and Large Step Sizes Si Yi Meng Antonio Orvieto Daniel Yiming Cao Christopher De Sa 30 1 0 07 Jun 2024
Training on the Edge of Stability Is Caused by Layerwise Jacobian Alignment Mark Lowell Catharine A. Kastner 20 0 0 31 May 2024
Does SGD really happen in tiny subspaces? Minhak Song Kwangjun Ahn Chulhee Yun 56 4 1 25 May 2024
Gradient Descent with Polyak's Momentum Finds Flatter Minima via Large Catapults Prin Phunyaphibarn Junghyun Lee Bohan Wang Huishuai Zhang Chulhee Yun 13 0 0 25 Nov 2023
From Stability to Chaos: Analyzing Gradient Descent Dynamics in Quadratic Regression Xuxing Chen Krishnakumar Balasubramanian Promit Ghosal Bhavya Agrawalla 22 7 0 02 Oct 2023
Learning threshold neurons via the "edge of stability" Kwangjun Ahn Sébastien Bubeck Sinho Chewi Y. Lee Felipe Suarez Yi Zhang MLT 31 36 0 14 Dec 2022
Understanding Edge-of-Stability Training Dynamics with a Minimalist Example Xingyu Zhu Zixuan Wang Xiang Wang Mo Zhou Rong Ge 62 35 0 07 Oct 2022
Understanding Gradient Descent on Edge of Stability in Deep Learning Sanjeev Arora Zhiyuan Li A. Panigrahi MLT 72 88 0 19 May 2022