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Lyapunov framework analyzes stochastic algorithm convergence

Researchers have published a paper detailing a Lyapunov-based framework for analyzing the finite-time convergence of stochastic iterative algorithms. This approach uses generalized Moreau envelopes as universal Lyapunov functions, applicable across various norms and noise types. The framework provides mean-square convergence guarantees and extends to algorithms like stochastic gradient descent and reinforcement learning methods such as Q-learning and temporal-difference learning. AI

IMPACT Provides a unified framework for analyzing convergence in reinforcement learning and other stochastic algorithms.

RANK_REASON This is a research paper published on arXiv detailing a new analytical framework for stochastic algorithms.

Read on arXiv stat.ML →

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Lyapunov framework analyzes stochastic algorithm convergence

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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Zaiwei Chen, Siva Theja Maguluri ·

    Non-Asymptotic Convergence of Stochastic Iterative Algorithms: A Lyapunov Framework

    arXiv:2605.31309v1 Announce Type: cross Abstract: We survey Lyapunov-based techniques for the finite-time analysis of stochastic iterative algorithms, also known as stochastic approximation (SA) algorithms, for solving fixed-point equations $\bar{F}(x)=x$, where the operator $\ba…

  2. arXiv stat.ML TIER_1 English(EN) · Siva Theja Maguluri ·

    Non-Asymptotic Convergence of Stochastic Iterative Algorithms: A Lyapunov Framework

    We survey Lyapunov-based techniques for the finite-time analysis of stochastic iterative algorithms, also known as stochastic approximation (SA) algorithms, for solving fixed-point equations $\bar{F}(x)=x$, where the operator $\bar{F}(\cdot)$ can only be accessed through a noisy …