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Rationale Distribution Distillation via Flow Matching for Distributional Continuous Latent Reasoning

2026-10-14 09:30:04
Mingyeong Kim, Gyusang Cho, Juho Lee, Giung Nam

Abstract

Sampling multiple chain-of-thought rationales from a language model can uncover correct solutions missed by a single attempt. However, these rationales are typically lengthy, making repeated autoregressive generation costly. Continuous latent reasoning offers a compact alternative, but point-valued methods condition repeated answer sampling on a single rationale, which can limit exploration of diverse paths and answer coverage. We thus propose rationale distribution distillation (RDD), training a conditional flow over fixed-length latent sequences by distilling from multiple textual reasoning paths. Furthermore, we expand the distillation targets through within-query mixup, interpolating between complete latent rationales for the same query. The flow nonautoregressively generates the entire latent sequence, and a frozen language model autoregressively decodes answers from sampled rationale contexts. Empirically, the resulting distributional reasoner achieves higher answer coverage than the evaluated point-valued latent reasoning baselines, particularly on advanced mathematical tasks.

Abstract (translated)

URL

https://arxiv.org/abs/2610.19871

PDF

https://arxiv.org/pdf/2610.19871.pdf


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