s1: Simple test-time scaling

Muennighoff et al., 2025, s1 (Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing)

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2 cards in “4.2 Performance” · whole deck

4.2 Performance

  1. What did budget forcing achieve for s1-32B?
    Accuracy rose with thinking tokens, and forcing longer thinking extrapolated beyond the model’s unforced performance on AIME24, from 50% to 57%, exceeding o1-preview on competition math. Suppressing the end more than about six times flattened out as the model fell into repetitive loops.
    • Muennighoff et al., 2025, s1 (Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing), §4.2, p. 20280
  2. How did sequential scaling of s1-32B compare with majority voting on the base model?
    Majority voting over up to 64 samples from Qwen2.5-32B-Instruct never caught up with s1-32B under budget forcing, supporting the intuition that sequential scaling, where later thinking builds on earlier thinking, is more effective than parallel.
    • Muennighoff et al., 2025, s1 (Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing), §4.2, p. 20280

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