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New analysis shows increasing batch size accelerates SGDM convergence

Researchers have developed a novel Lyapunov-based analysis to understand the convergence of stochastic gradient descent with momentum (SGDM). Their work reveals that increasing batch sizes, particularly when paired with a learning rate increase, leads to provably faster convergence compared to fixed hyperparameters. Empirical results demonstrated that dynamically scheduled SGDM, especially with a warmup phase, significantly outperforms static configurations in terms of speed. AI

IMPACT Provides theoretical and empirical backing for optimizing deep learning training processes, potentially leading to faster model development.

RANK_REASON Academic paper detailing theoretical analysis and empirical validation of optimization techniques for machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New analysis shows increasing batch size accelerates SGDM convergence

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yuichi Kondo, Hideaki Iiduka ·

    Accelerating SGDM via Learning Rate and Batch Size Schedules: A Lyapunov-Based Analysis

    arXiv:2508.03105v3 Announce Type: replace Abstract: We analyze the convergence behavior of stochastic gradient descent with momentum (SGDM) under dynamic learning-rate and batch-size schedules by introducing a novel and simpler Lyapunov function. We extend the existing theoretica…