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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1 Introduction

  1. What question does the s1 paper ask?
    What is the simplest recipe that gives both strong reasoning and test-time scaling (better accuracy with more thinking)? o1 had shown such scaling without revealing how, and replications such as DeepSeek-R1 used large-scale RL on many samples.
    • Muennighoff et al., 2025, s1 (Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing), §1, p. 20275
  2. What is the s1 recipe, in two parts?
    (1) Supervised fine-tuning of Qwen2.5-32B-Instruct on just 1,000 carefully chosen questions with reasoning traces (s1K), which took 26 minutes on 16 H100s; (2) budget forcing at test time to control how long the model thinks.
    • Muennighoff et al., 2025, s1 (Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing), §1, p. 20275

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