Stochastic Optimization Convergence

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  1. Uniform a priori bounds and error analysis for the Adam stochastic gradient descent optimization method

    Mar 19, 2026Steffen Dereich, Thang Do, Arnulf JentzenStochastic OptimizationStochastic Optimization Convergence

  2. Unbiased and Biased Variance-Reduced Forward-Reflected-Backward Splitting Methods for Stochastic Composite Inclusions

    Mar 16, 2026Quoc Tran-Dinh, Nghia Nguyen-TrungStochastic OptimizationStochastic Optimization Convergence

  3. Convergence Rate of a Functional Learning Method for Contextual Stochastic Optimization

    Mar 13, 2026Noel Smith, Andrzej RuszczynskiStochastic OptimizationStochastic Approximation

  4. Adaptive Momentum and Nonlinear Damping for Neural Network Training

    Jan 30, 2026Aikaterini Karoni, Rajit Rajpal, Benedict Leimkuhler +1Momentum MethodsStochastic Optimization Convergence

  5. Provable Benefit of SignGD: A Minimal Model Under Heavy-Tailed Class Imbalance

    Nov 30, 2025Robin Yadav, Shuo Xie, Tianhao Wang +1Sign-Based OptimizationClass-Imbalanced Learning

  6. Adam symmetry theorem: characterization of the convergence of the stochastic Adam optimizer

    Nov 10, 2025Steffen Dereich, Thang Do, Arnulf Jentzen +1Stochastic OptimizationStochastic Optimization Convergence

  7. Convergence Analysis of the ProbAbilistic Gradient Estimator Algorithm for Weakly Convex Finite-Sum Optimization

    Aug 31, 2025Laurent Condat, Peter RichtárikStochastic OptimizationNonconvex Stochastic Optimization

  8. Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation

    Aug 29, 2025Bangti Jin, Longjun WuNeural PDE SolversPDE Solving

  9. Random Walk Learning and the Pac-Man Attack

    Aug 1, 2025Xingran Chen, Parimal Parag, Rohit Bhagat +2CybersecurityDecentralized Learning

  10. Better Convergence Guarantees for Sign-Based Momentum Methods

    Jul 16, 2025Wei Jiang, Dingzhi Yu, Sifan Yang +3Sign-Based OptimizationMomentum Methods

  11. On the O(dK1/4)O(\frac{\sqrt{d}}{K^{1/4}}) Convergence Rate of AdamW Measured by ℓ1\ell_1 Norm

    May 17, 2025Huan Li, Yiming Dong, Zhouchen LinOptimization Convergence AnalysisStochastic Optimization Convergence

  12. Rethinking the Global Convergence of Softmax Policy Gradient with Linear Function Approximation: The Case of Multi-Armed Bandits

    May 6, 2025Max Qiushi Lin, Jincheng Mei, Matin Aghaei +6Multi-Armed BanditsPolicy Gradient

  13. A Provably Convergent Plug-and-Play Framework for Stochastic Bilevel Optimization

    May 2, 2025Tianshu Chu, Dachuan Xu, Wei Yao +2Bilevel OptimizationStochastic Optimization Convergence

  14. Preconditioned Inexact Stochastic ADMM for Deep Model

    Feb 15, 2025Shenglong Zhou, Ouya Wang, Ziyan Luo +2Stochastic OptimizationDeep Learning Optimization

  15. Convergence Rate Analysis of LION

    Nov 12, 2024Yiming Dong, Huan Li, Zhouchen LinSign-Based OptimizationDeep Learning Optimization

  16. Learning rate adaptive stochastic gradient descent optimization methods: numerical simulations for deep learning methods for partial differential equations and convergence analyses

    Jun 20, 2024Steffen Dereich, Arnulf Jentzen, Adrian RiekertStochastic Optimization ConvergenceAdaptive Gradient Methods

  17. Convergence Analysis of Sequential Federated Learning on Heterogeneous Data

    Nov 6, 2023Yipeng Li, Xinchen LyuNon-IID Federated LearningStochastic Optimization Convergence

  18. Adapt or Forget: Provable Tradeoffs Between Adam and SGD in Nonstationary Optimization

    Date pendingSharan Sahu, Abir Sarkar, Cameron J. Hogan +1Stochastic OptimizationStochastic Optimization Convergence