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Latent Path Exploration via Potential-Guided Subtrajectory Balance

Xiaoling Zeng, Qi Zhang

Samples continuous reasoning paths before producing an answer. Trains the paths with explicit-chain supervision, hidden-state distillation, and a balance objective that compares how much intermediate states support the correct answer.

First public: · Added to this list: November 2, 2026

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ArXiv preprint

arXiv:2610.40283 · Initial submission: 2026-10-29

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Explore this approach

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.

Internalized reasoning — Learn from worked solutions so that some or all of the reasoning can later happen without writing those steps. Training may use a separate teacher model or progressively remove written steps from the model being trained.