{"total":26,"rows":[{"id":"2405.16002","title":"Does SGD really happen in tiny subspaces?","created":"2024-05-25","cited_by_count":36,"area":null},{"id":"2402.17457","title":"Super Consistency of Neural Network Landscapes and Learning Rate Transfer","created":"2024-02-27","cited_by_count":23,"area":null},{"id":"2311.02076","title":"Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos","created":"2023-11-03","cited_by_count":22,"area":null},{"id":"2310.01687","title":"From Stability to Chaos: Analyzing Gradient Descent Dynamics in Quadratic Regression","created":"2023-10-02","cited_by_count":17,"area":null},{"id":"2406.05033","title":"Gradient Descent on Logistic Regression with Non-Separable Data and Large Step Sizes","created":"2024-06-07","cited_by_count":14,"area":null},{"id":"2507.09846","title":"Through the River: Understanding the Benefit of Schedule-Free Methods for Language Model Training","created":"2025-07-14","cited_by_count":9,"area":null},{"id":"2602.01480","title":"Rod Flow: A Continuous-Time Model for Gradient Descent at the Edge of Stability","created":"2026-02-01","cited_by_count":9,"area":null},{"id":"2603.05002","title":"Non-Euclidean Gradient Descent Operates at the Edge of Stability","created":"2026-03-05","cited_by_count":9,"area":null},{"id":"2509.25351","title":"Gradient Descent with Large Step Sizes: Chaos and Fractal Convergence Region","created":"2025-09-29","cited_by_count":7,"area":null},{"id":"2412.08424","title":"From Logistic Regression to the Perceptron Algorithm: Exploring Gradient Descent with Large Step Sizes","created":"2024-12-11","cited_by_count":6,"area":null},{"id":"2506.06940","title":"Understanding Sharpness Dynamics in NN Training with a Minimalist Example: The Effects of Dataset Difficulty, Depth, Stochasticity, and More","created":"2025-06-07","cited_by_count":5,"area":null},{"id":"2311.15051","title":"Gradient Descent with Polyak's Momentum Finds Flatter Minima via Large Catapults","created":"2023-11-25","cited_by_count":3,"area":null},{"id":"2602.14789","title":"On the Stability of Nonlinear Dynamics in GD and SGD: Beyond Quadratic Potentials","created":"2026-02-16","cited_by_count":3,"area":null},{"id":"2406.00127","title":"Training on the Edge of Stability Is Caused by Layerwise Jacobian Alignment","created":"2024-05-31","cited_by_count":1,"area":null},{"id":"2505.13196","title":"A Physics-Inspired Optimizer: Velocity Regularized Adam","created":"2025-05-19","cited_by_count":1,"area":null},{"id":"2604.02653","title":"Product-Stability: Provable Convergence for Gradient Descent on the Edge of Stability","created":"2026-04-03","cited_by_count":1,"area":null},{"id":"2605.21292","title":"Unbiased Gradients, Moving Stability Boundaries: Exact Mini-Batch Geometry in Linear Self-Attention","created":"2026-05-20","cited_by_count":1,"area":null},{"id":"2608.18415","title":"The Road Taken: The Role of Optimizers at the Edge of Stability","created":"2026-08-19","cited_by_count":1,"area":null},{"id":"2608.20638","title":"Adam at the Edge of Stability: Adaptive Feedback, Provable Oscillation, and Gradient Reversal","created":"2026-08-21","cited_by_count":1,"area":null},{"id":"2604.14669","title":"Zeroth-Order Optimization at the Edge of Stability","created":"2026-04-16","cited_by_count":0,"area":null},{"id":"2606.15551","title":"A Bifurcation Theory Framework for Gradient Descent on the Edge of Stability","created":"2026-06-14","cited_by_count":0,"area":null},{"id":"2609.01034","title":"The Multiple Timescales of Gradient Descent on the Edge of Stability: A Perturbative Derivation of the Central Flow","created":"2026-09-01","cited_by_count":0,"area":null},{"id":"2609.32290","title":"A Journey to the Edge of Stability","created":"2026-09-26","cited_by_count":0,"area":null},{"id":"2609.34915","title":"Muon Sublates the Edge of Stability in LLM Pretraining","created":"2026-09-28","cited_by_count":0,"area":null},{"id":"2609.39767","title":"How Does Local Landscape Geometry Evolve in Language Model Pre-Training?","created":"2026-09-30","cited_by_count":0,"area":null},{"id":"2610.15223","title":"Non-Euclidean Gradient Descent Has Many Edges of Stability","created":"2026-10-10","cited_by_count":0,"area":null}],"next_cursor":null}