Heavy-Tailed Stochastic Optimization

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  1. Decentralized SGD under Heavy-Tailed Noise: Optimal Convergence Rates and the Role of Gradient Clipping

    Oct 7, 2026Aleksandar Armacki, Haoyuan Cai, Ali H. SayedDecentralized OptimizationStochastic Gradient Descent

  2. Convergence of Stochastic Gradient Methods under Heavy-Tailed Noise and H"{o}lder Smoothness

    Sep 14, 2026Misbah Uz Zaman, Anirbit MukherjeeGradient ClippingNonconvex Stochastic Optimization

  3. Quantum Speedups for Stochastic Optimization with Heavy-Tailed Noise

    Jul 28, 2026Bin Luo, Chengchang Liu, Jonathan Allcock +2Nonconvex Stochastic OptimizationHeavy-Tailed Noise

  4. High-Probability PL-SGD with Markovian Noise: Optimal Mixing and Tail Dependence

    Jun 24, 2026Dhruv Sarkar, Aprameyo Chakrabartty, Vaneet AggarwalStochastic OptimizationOptimization Convergence Analysis

  5. Is Variational Monte Carlo Robust? Sharp Moment Thresholds and Heavy-tailed Stochastic Optimization

    Jun 24, 2026Philipp Grohs, Davide NobileStochastic OptimizationQuantum Chemistry

  6. Open Problem: Is AdamW Effective Under Heavy-Tailed Noise?

    Jun 22, 2026Dingzhi Yu, Hongyi Tao, Yuanyu Wan +2Stochastic OptimizationHeavy-Tailed Noise

  7. Federated learning with heavy-tailed gradient noise and communication noise: a variance-reduction based algorithm

    Jun 21, 2026Shengchao Zhao, Yongchao LiuStochastic OptimizationNonconvex Stochastic Optimization

  8. Distribution-Aware Robust Bilevel Optimization: Quantile-Guided Huber Updates in Two-Timescale Stochastic Approximation

    Jun 21, 2026Zhiyu Li, Xi Xuan, Davide CarboneStochastic OptimizationStochastic Approximation

  9. Free Heavy-Tailed Lunch for Muon: A Theoretical Justification of Empirical Success

    Jun 12, 2026Florian Hübler, Thomas Pethick, Suvrit SraStochastic OptimizationNonconvex Stochastic Optimization

  10. Bregman meets Lévy: Stochastic mirror descent with heavy-tailed noise in continuous and discrete time

    Jun 2, 2026Pierre-Louis Cauvin, Panayotis MertikopoulosStochastic OptimizationStochastic Differential Equations

  11. Scale-Invariant Neural Network Optimization: Norm Geometry and Heavy-Tailed Noise

    May 18, 2026Jiayu Zhang, Tianyi LinStochastic OptimizationNeural Network Optimization

  12. Gradient Clipping Beyond Vector Norms: A Spectral Approach for Matrix-Valued Parameters

    May 12, 2026Alexander Yukhimchuk, Mladen Kolar, Martin Takáč +1Stochastic OptimizationGradient Clipping

  13. Robust stochastic first order methods in heavy-tailed noise via medoid mini-batch gradient sampling

    May 8, 2026Manojlo Vukovic, Dusan JakoveticStochastic OptimizationNonconvex Stochastic Optimization

  14. Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition

    May 7, 2026Sayantan Choudhury, Xiaoran Cheng, Martin Takáč +2Stochastic OptimizationMomentum Methods

  15. Accelerated stochastic first-order method for convex optimization under heavy-tailed noise

    Oct 13, 2025Chuan He, Bowen Li, Zhaosong LuStochastic OptimizationHeavy-Tailed Noise