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Depth-Recurrent Transformers Show Per-Token Fixed-Point Convergence

Researchers have investigated the internal computations of depth-recurrent transformers, specifically how each token's state evolves over multiple processing loops. They found that the recurrent state converges to a fixed point for each token, though this convergence is not uniform. While the median token stabilizes by the sixth loop, approximately 10% of tokens continue to update at the typical training depth of eight. This per-token variation is crucial, as halting token processing once its output stabilizes significantly reduces computational depth without sacrificing quality. AI

IMPACT Reveals a method to potentially reduce computational costs in transformers by halting token processing once stable.

RANK_REASON Academic paper detailing novel findings on transformer model behavior. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Depth-Recurrent Transformers Show Per-Token Fixed-Point Convergence

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Joe Logan ·

    Per-Token Fixed-Point Convergence in Depth-Recurrent Transformers

    arXiv:2607.14427v1 Announce Type: new Abstract: A depth-recurrent transformer applies a weight-tied core a variable number of times, and prior work has shown that training with a randomized recursion count yields one checkpoint usable across a range of inference depths. We ask wh…