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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3.1 Method

  1. What is budget forcing?
    A decoding-time control of thinking length. To cap it, the end-of-thinking delimiter (optionally with “Final Answer:”) is appended once the budget is used, forcing an answer. To extend it, the end-of-thinking delimiter is suppressed and “Wait” is appended, which often makes the model re-check and fix its answer.
    extend: minimum budgetthinking…“Wait”thinking…answerinstead of end-of-thinkingcut: maximum budgetthinking… budget hitforced endanswer
    Budget forcing lengthens or shortens thinking at decoding time
    • Muennighoff et al., 2025, s1 (Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing), §3.1, p. 20278

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