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Optimal Learning Rate Schedules Explored Under Functional Scaling Laws

This paper explores optimal learning rate schedules for machine learning models, particularly within the Functional Scaling Law (FSL) framework. It identifies a critical transition point based on task difficulty and model capacity, dictating whether an early power decay or a warmup-stable-decay schedule is more effective. The research also suggests that precise decay shape tuning may be less critical than previously thought, with fractional schedules achieving optimal convergence rates. AI

IMPACT Provides theoretical insights into optimizing model training, potentially leading to more efficient learning processes.

RANK_REASON Academic paper detailing theoretical findings on machine learning optimization. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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Optimal Learning Rate Schedules Explored Under Functional Scaling Laws

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Academic paper detailing theoretical findings on machine learning optimization. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Binghui Li, Zilin Wang, Fengling Chen, Shiyang Zhao, Ruiheng Zheng, Lei Wu ·

    Optimal Learning Rate Schedules under Functional Scaling Laws: Power Decay and Warmup-Stable-Decay

    arXiv:2602.06797v3 Announce Type: replace-cross Abstract: We study optimal learning rate (LR) schedules under the functional scaling law (FSL) framework (Li et al., 2025), which decomposes training dynamics into signal learning and noise forgetting. In power-law kernel regression…