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New 'weight-norm criticality' explains AI training instability

Researchers have identified a new critical factor in deep neural network training instability, termed 'weight-norm criticality.' This phenomenon, distinct from the commonly understood 'learning-rate criticality,' arises from the interplay between normalization techniques and weight decay. As weight decay increases, it can drive parameter norms toward zero, leading to a sharper loss landscape and abrupt loss spikes that destabilize optimization dynamics. This finding offers a mechanistic explanation for why excessive weight decay, while potentially improving generalization, can ultimately hinder training. AI

IMPACT Provides a new theoretical framework for understanding and potentially mitigating training instabilities in deep learning models.

RANK_REASON The cluster contains two identical arXiv papers detailing a new theoretical mechanism for understanding training instability in deep neural networks.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New 'weight-norm criticality' explains AI training instability

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Xiaolong Li, Zhangchen Zhou, Zhi-Qin John Xu ·

    Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay

    arXiv:2607.21005v1 Announce Type: new Abstract: Most explanations of training instability focus on \emph{learning-rate criticality}, typically characterized by the Edge of Stability, beyond which optimization becomes unstable. We argue that, in practical deep neural network train…

  2. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Zhi-Qin John Xu ·

    Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay

    Most explanations of training instability focus on \emph{learning-rate criticality}, typically characterized by the Edge of Stability, beyond which optimization becomes unstable. We argue that, in practical deep neural network training, there is an additional and often overlooked…