ResearchResearch paperEfficiency & Inference · Reasoning & Planning · Large Language Models2 sources · Oct 8, 2026

Scaling to Tens of Thousands of Test-Time Iterations with Loop-Native Attention Residuals

In this paper, we introduce InfiLoop, a loop-native residual connection that learns which past computations to retain and how much to accept from each new update.

Key points

  • In this paper, we argue that looped Transformers need their own residual connections to prevent performance degradation as the number of iterations grows.
  • We observe that increasing loop iterations can reduce reasoning accuracy: noisy state updates overwrite correct intermediate deductions and even undo completed solutions.
  • InfiLoop combines content-based weighting with learned temporal decay to maintain a running summary of recurrent states.
  • Across extensive reasoning tasks, a 7M-parameter InfiLoop model outperforms existing recursive architectures, reaching 97.9% exact accuracy on Sudoku-Extreme, and 13.6% pass@2 on ARC-AGI-2.

Sources (2)

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