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Fixed-point training improves looped models and speeds prefill and RL updates

huggingface.co by Benhao Huang et al. Editor score 9/10

The work uses learned depth priors and orthogonal input injection to improve perplexity across 100M–1.6B models, and reports 1.79× faster student prefill and 2× faster RL updates. Its fixed-point analysis connects model architecture choices to training and inference costs.

What
Fixed-point training tunes looped language models to reduce recurrence costs across training, decoding, prefill, and reinforcement learning.
Method
A learned depth prior and orthogonal input injection lower perplexity across tested scales; fixed points enable truncated backpropagation and terminal KV sharing.
Why it matters
For model builders, the approach enables KV sharing with almost no accuracy loss, prefill up to 1.79× faster, and RL gradient updates 2× faster.

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