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Continuous Chain of Thought Enables Parallel Exploration and Reasoning

Halil Alperen Gozeten, M. Emrullah Ildiz, Xuechen Zhang, Hrayr Harutyunyan, Ankit Singh Rawat, Samet Oymak

Analyzes and demonstrates how continuous intermediate states can explore several candidate reasoning paths in parallel.

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arXiv:2505.23648 · Initial submission: 2025-05-29

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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.

Analysis and evaluation — Measure how well these methods work, investigate what their internal computation does, and identify where they fail. This includes experiments, studies of model internals, and mathematical results.

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