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Parallel Continuous Chain-of-Thought with Jacobi Iteration

Haoyi Wu, Zhihao Teng, Kewei Tu

Applies Jacobi-style iteration to update continuous reasoning states in parallel rather than strictly one step at a time.

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arXiv:2506.18582 · Initial submission: 2025-06-23

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Continuous-state reasoning — Use vectors—lists of numbers—to carry intermediate reasoning from one step to the next, instead of selecting a text token at every step. Some methods use the model's hidden states; others combine several candidate token representations.

Alternative generation methods — Change how intermediate steps are generated, revised, or searched—for example, by refining several steps in parallel. These are related approaches: some still produce written chains of thought.

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