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Rationale Distribution Distillation via Flow Matching for Distributional Continuous Latent Reasoning

Mingyeong Kim, Gyusang Cho, Juho Lee, Giung Nam

Distills multiple written reasoning paths for each question into a flow model over fixed-length latent sequences, including mixtures of complete rationales. Generates all latent slots together, then uses a frozen language model to decode answers from sampled rationale contexts.

First public: · Added to this list: October 18, 2026

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arXiv:2610.19871 · Initial submission: 2026-10-14

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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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