ResearchResearch paperTraining & Scaling · Image, Video & 3D Generation1 source · Oct 14, 2026

CAST: History-Adaptive Spectral Clipping for LLM Pretraining

We introduce CAST (Clipping with Adaptive Scales and Thresholds), a history-adaptive extension of SSC.

Key points

  • Soft spectral clipping (SSC) reduces gradient singular values, but its effect depends on the gradient scale and clipping threshold.
  • AdamW's previous second moment sets row and column scales.
  • An exponential moving average of the clipped output's estimated spectral norm sets each matrix's threshold.
  • We train a mixture-of-experts (MoE) model with 19.08B total parameters for 83.89B tokens.

Sources (1)

  • [1]CAST: History-Adaptive Spectral Clipping for LLM Pretraining
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 14, 08:15 AM
    We introduce CAST (Clipping with Adaptive Scales and Thresholds), a history-adaptive extension of SSC.
    Soft spectral clipping (SSC) reduces gradient singular values, but its effect depends on the gradient scale and clipping threshold.

Extractive summary: sentences quoted from the sources.

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