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New Law Precisely Governs Neural Network Training Dynamics

Researchers have identified an exact discrete-time law governing the interaction between learning-rate schedules and weight decay in neural networks. This law reveals a hidden feedback loop controlled by the parameter norm, creating a sharp boundary that separates stable and unstable learning rate regimes. The study provides a unified framework for understanding optimizer behavior, explaining why adaptive methods offer weaker stabilization under normalization, and offers a precise method for controlling training dynamics in deep learning models. AI

IMPACT Provides a precise, actionable lens on training dynamics, optimizer behavior, and schedule design in deep learning.

RANK_REASON The cluster contains an academic paper detailing a new theoretical finding about neural network optimization dynamics. [lever_c_demoted from research: ic=1 ai=1.0]

Read on Hugging Face Daily Papers →

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New Law Precisely Governs Neural Network Training Dynamics

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The cluster contains an academic paper detailing a new theoretical finding about neural network optimization dynamics. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    When Does Scale-Invariant Optimization Become Unstable? An Exact Schedule Law with Weight Decay

    Normalization renders large parts of neural networks effectively scale invariant, inducing a hidden feedback loop in which learning-rate schedules and weight decay interact through the parameter norm to control the effective step taken by the optimizer. We show that this interact…