Observation: Pretraining Looks Like Structured Quadratics Near End of Training

josephdviviano · x · 2026-07-31

Alex Meterez shared an observation regarding the LLM pretraining process: near the end of training, pretraining looks like a sequence of structured quadratics.

However, there are caveats to this finding: the agreement is worse during the early stages of training and when using a constant learning rate schedule compared to a cosine schedule. The author notes they are actively investigating why this happens.

Related event: Quadratic Models Can Accurately Describe LLM Pre-training Dynamics(3 posts)→

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