{"total":49,"rows":[{"id":"2412.19529","title":"Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping","created":"2024-12-27","cited_by_count":42,"area":null},{"id":"2506.04192","title":"Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise","created":"2025-06-04","cited_by_count":41,"area":null},{"id":"2410.16561","title":"Revisiting Gradient Normalization and Clipping for Nonconvex SGD under Heavy-Tailed Noise: Necessity, Sufficiency, and Acceleration","created":"2024-10-21","cited_by_count":18,"area":null},{"id":"2508.04860","title":"Can SGD Handle Heavy-Tailed Noise?","created":"2025-08-06","cited_by_count":17,"area":null},{"id":"2508.07473","title":"Online Convex Optimization with Heavy Tails: Old Algorithms, New Regrets, and Applications","created":"2025-08-10","cited_by_count":17,"area":null},{"id":"2502.07923","title":"Sign Operator for Coping with Heavy-Tailed Noise in Non-Convex Optimization: High Probability Bounds Under $(L_0, L_1)$-Smoothness","created":"2025-02-11","cited_by_count":13,"area":null},{"id":"2506.11214","title":"Complexity of normalized stochastic first-order methods with momentum under heavy-tailed noise","created":"2025-06-12","cited_by_count":11,"area":null},{"id":"2605.06884","title":"Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition","created":"2026-05-07","cited_by_count":8,"area":null},{"id":"2509.14952","title":"Stochastic Bilevel Optimization with Heavy-Tailed Noise","created":"2025-09-18","cited_by_count":4,"area":null},{"id":"2510.11676","title":"Accelerated stochastic first-order method for convex optimization under heavy-tailed noise","created":"2025-10-13","cited_by_count":4,"area":null},{"id":"2502.13482","title":"Smoothed Normalization for Efficient Distributed Private Optimization","created":"2025-02-19","cited_by_count":3,"area":null},{"id":"2507.09093","title":"Sharp High-Probability Rates for Nonlinear SGD under Heavy-Tailed Noise via Symmetrization","created":"2025-07-12","cited_by_count":3,"area":null},{"id":"2510.10690","title":"Second-order Optimization under Heavy-Tailed Noise: Hessian Clipping and Sample Complexity Limits","created":"2025-10-12","cited_by_count":3,"area":null},{"id":"2605.18694","title":"Can Adaptive Gradient Methods Converge under Heavy-Tailed Noise? A Case Study of AdaGrad","created":"2026-05-18","cited_by_count":3,"area":null},{"id":"2606.00520","title":"In-Expectation Convergence of Stochastic Gradient Methods under Heavy-Tailed Noise","created":"2026-05-30","cited_by_count":3,"area":null},{"id":"2511.04456","title":"Federated Stochastic Minimax Optimization under Heavy-Tailed Noises","created":"2025-11-06","cited_by_count":2,"area":null},{"id":"2511.14501","title":"Improved Convergence in Parameter-Agnostic Error Feedback through Momentum","created":"2025-11-18","cited_by_count":2,"area":null},{"id":"2601.19379","title":"Optimal Asynchronous Stochastic Nonconvex Optimization under Heavy-Tailed Noise","created":"2026-01-27","cited_by_count":2,"area":null},{"id":"2602.13413","title":"Why is Normalization Preferred? A Worst-Case Complexity Theory for Stochastically Preconditioned SGD under Heavy-Tailed Noise","created":"2026-02-13","cited_by_count":2,"area":null},{"id":"2605.11838","title":"Gradient Clipping Beyond Vector Norms: A Spectral Approach for Matrix-Valued Parameters","created":"2026-05-12","cited_by_count":2,"area":null},{"id":"2605.18528","title":"Tight Complexity of Muon under Heavy-Tailed Noise","created":"2026-05-18","cited_by_count":2,"area":null},{"id":"2605.19811","title":"LionMuon: Alternating Spectral and Sign Descent for Efficient Training","created":"2026-05-19","cited_by_count":2,"area":null},{"id":"2606.14560","title":"Free Heavy-Tailed Lunch for Muon: A Theoretical Justification of Empirical Success","created":"2026-06-12","cited_by_count":2,"area":null},{"id":"2606.15268","title":"When to use what Schatten-$p$ norm in deep learning?","created":"2026-06-13","cited_by_count":2,"area":null},{"id":"2509.15543","title":"Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise","created":"2025-09-19","cited_by_count":1,"area":null},{"id":"2510.01578","title":"Gradient Shaping Beyond Clipping: A Functional Perspective on Update Magnitude Control","created":"2025-10-02","cited_by_count":1,"area":null},{"id":"2510.06141","title":"High-Probability Convergence Guarantees of Decentralized SGD","created":"2025-10-07","cited_by_count":1,"area":null},{"id":"2601.11435","title":"Near-Optimal Decentralized Stochastic Nonconvex Optimization with Heavy-Tailed Noise","created":"2026-01-16","cited_by_count":1,"area":null},{"id":"2601.20399","title":"Convergence Analysis of Randomized Subspace Normalized SGD under Heavy-Tailed Noise","created":"2026-01-28","cited_by_count":1,"area":null},{"id":"2602.05657","title":"Tight Long-Term Tail Decay of (Clipped) SGD in Non-Convex Optimization","created":"2026-02-05","cited_by_count":1,"area":null},{"id":"2602.06824","title":"RanSOM: Second-Order Momentum with Randomized Scaling for Constrained and Unconstrained Optimization","created":"2026-02-06","cited_by_count":1,"area":null},{"id":"2605.02701","title":"Robust and Fast Training via Per-Sample Clipping","created":"2026-05-04","cited_by_count":1,"area":null},{"id":"2606.14259","title":"Beyond a Single Explanation of the Adam--SGD Gap","created":"2026-06-12","cited_by_count":1,"area":null},{"id":"2607.08104","title":"Vanilla SGD with Momentum Survives Heavy-Tailed Noise: Convergence Analysis without Gradient Clipping or Normalization","created":"2026-07-09","cited_by_count":1,"area":null},{"id":"2507.13283","title":"Stochastic Weakly Convex Optimization Under Heavy-Tailed Noises","created":"2025-07-17","cited_by_count":0,"area":null},{"id":"2512.05790","title":"Learnability Window in Gated Recurrent Neural Networks","created":"2025-12-05","cited_by_count":0,"area":null},{"id":"2512.14686","title":"Bias-Variance Trade-off for Clipped Stochastic First-Order Methods: From Bounded Variance to Infinite Mean","created":"2025-12-16","cited_by_count":0,"area":null},{"id":"2601.19730","title":"Stability and Generalization of Stochastic Nonconvex Optimization under Heavy-Tailed Noise: From Gradient Norm to Goldstein Stationarity","created":"2026-01-27","cited_by_count":0,"area":null},{"id":"2603.12512","title":"Byzantine-Robust Optimization under $(L_0, L_1)$-Smoothness","created":"2026-03-12","cited_by_count":0,"area":null},{"id":"2605.00281","title":"High-Probability Convergence in Decentralized Stochastic Optimization with Gradient Tracking","created":"2026-04-30","cited_by_count":0,"area":null},{"id":"2605.11850","title":"Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives","created":"2026-05-12","cited_by_count":0,"area":null},{"id":"2605.24513","title":"Zeroth-Order Nonconvex Nonsmooth Optimization with Heavy-Tailed Noise","created":"2026-05-23","cited_by_count":0,"area":null},{"id":"2605.27733","title":"Can Entry-Wise Clipping Give Spectral Control of Stochastic Gradients?","created":"2026-05-26","cited_by_count":0,"area":null},{"id":"2606.13287","title":"Clipping Makes Distributed and Federated Asynchronous SGD Robust to Stragglers","created":"2026-06-11","cited_by_count":0,"area":null},{"id":"2606.26316","title":"High-Probability PL-SGD with Markovian Noise: Optimal Mixing and Tail Dependence","created":"2026-06-24","cited_by_count":0,"area":null},{"id":"2607.25492","title":"Quantum Speedups for Stochastic Optimization with Heavy-Tailed Noise","created":"2026-07-28","cited_by_count":0,"area":null},{"id":"2609.30276","title":"Why Clipping Matters in AdaGrad? Toward a High-Probability Theory under Generalized Smoothness","created":"2026-08-12","cited_by_count":0,"area":null},{"id":"2609.30732","title":"TR-SSQP: A Trust-Region Method for Constrained Stochastic Optimization under Heavy-Tailed Noise","created":"2026-09-25","cited_by_count":0,"area":null},{"id":"2609.35297","title":"LionMuon: Alternating Spectral and Sign Descent for Efficient Training","created":"2026-09-28","cited_by_count":0,"area":null}],"next_cursor":null}