convergence-analysis

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#convergence-analysis

Unregularized Convergence of Single-Loop, Entropy-Regularized Natural Actor-Critic

arXiv cs.LG · 6d ago Cached

This paper analyzes a single-loop, entropy-regularized Natural Actor-Critic algorithm and proves accelerated convergence rates for the unregularized objective in stochastic and deterministic regimes under linear function approximation.

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#convergence-analysis

Polar Code Based Federated Learning: Convergence Analysis and Resource Allocation

arXiv cs.LG · 2026-08-17 Cached

This paper proposes a cross-layer polar code based federated learning scheme to address communication bottlenecks and channel impairments, providing convergence analysis and resource optimization that demonstrates performance gains over uncoded and LDPC-based benchmarks.

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#convergence-analysis

ZeroLock: Concurrent Memory-Efficient LLM Training via Modular Update Decoupling

arXiv cs.LG · 2026-08-11 Cached

This paper presents ZeroLock, a backpropagation-free algorithm for concurrent memory-efficient LLM training that decouples model updates into independent chunk updates, reducing memory usage by 26.5% and improving throughput by 4.9% compared to BP-based baselines.

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#convergence-analysis

Adaptivity via a Parallel Architecture for Stochastic Gradient Methods Adaptivity via a Parallel Architecture for Stochastic Gradient Methods Adaptivity via a Parallel Architecture for Stochastic Gradient Methods

arXiv cs.LG · 2026-08-03 Cached

The paper proposes a parallel architecture that assembles static gradient methods to achieve adaptivity in stochastic gradient descent, simplifying convergence analysis while retaining parameter adaptivity.

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First-order Constrained Trilevel Optimization Over Distributed Networks for Robust Coreset Selection

arXiv cs.LG · 2026-07-31 Cached

This paper proposes F2CTO, the first distributed first-order constrained trilevel optimization method for robust coreset selection over distributed networks, with a non-asymptotic convergence guarantee of O(ε^(-3/2)).

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Finite-Time Analysis of the Natural Policy Gradient in Finite-Horizon Markov Decision Processes

arXiv cs.LG · 2026-07-28 Cached

This paper provides the first finite-time convergence guarantees for the Natural Policy Gradient algorithm in finite-horizon Markov Decision Processes, proving sublinear and linear convergence rates under different step size regimes.

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#convergence-analysis

Learning from the Descent Direction: Adaptive Gradient Descent under One-Sided H\"older Regularity

arXiv cs.LG · 2026-07-28 Cached

This paper proposes an adaptive gradient descent method using one-sided Hölder regularity to control step sizes based on directional curvature rather than full gradient variation, providing convergence guarantees for nonconvex objectives and demonstrating empirical benefits.

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Vanilla SGD with Momentum Survives Heavy-Tailed Noise: Convergence Analysis without Gradient Clipping or Normalization

arXiv cs.LG · 2026-07-10 Cached

This paper provides the first comprehensive convergence analysis of vanilla SGD with momentum under heavy-tailed noise without gradient clipping or normalization, revealing inferior rates compared to clipped variants and supported by experiments on synthetic functions.

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Behavior-Induced Mirror-Prox Temporal-Difference Learning for Faster Off-Policy Prediction

arXiv cs.AI · 2026-05-29 Cached

This paper proposes STHTD-MP, a behavior-induced Mirror-Prox temporal-difference method for faster off-policy prediction in reinforcement learning. It replaces the covariance metric with the behavior-policy Bellman matrix and provides convergence analysis and experimental comparisons.

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Sign-Separated Finite-Time Error Analysis of Q-Learning

arXiv cs.AI · 2026-05-18 Cached

This paper develops a sign-separated finite-time error analysis for constant step-size Q-learning, decomposing the error into negative and positive parts and providing bounds that reveal an asymmetry related to overestimation.

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A Switching System Theory of Q-Learning with Linear Function Approximation

arXiv cs.LG · 2026-05-13 Cached

This paper presents a switching-system theory for Q-learning with linear function approximation, using joint spectral radius to analyze convergence stability under deterministic, i.i.d., and Markovian observations.

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On the Divergence of Differential Temporal Difference Learning without Local Clocks

arXiv cs.LG · 2026-05-11 Cached

This paper addresses an open problem in reinforcement learning by providing a counterexample showing that differential temporal difference learning can diverge when using a global clock, despite converging with a local clock, in average-reward settings.

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