Thinking Space

Research

  1. September 2026

    Rethinking OPD II

    Rethinking On-Policy Distillation of Large Language Models II: One Training Example

    Examines the role of training data in on-policy distillation at the data-minimal limit, training on a single query. One-shot OPD keeps improving for hundreds of steps and recovers most of full-data OPD's gain across task domains and model families. A single query reaches 71.5% state coverage relative to full-data OPD and sixteen reach 98.9%, matching full-data training — OPD is therefore data-overfed but algorithm-starved.

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  2. April 2026

    Rethinking OPD

    Rethinking On-Policy Distillation of Large Language Models: Phenomenology, Mechanism, and Recipe

    A systematic investigation of on-policy distillation dynamics. Identifies the two conditions that govern whether OPD succeeds — compatible thinking spaces between student and teacher, and genuinely new teacher capability — traces the token-level mechanism behind them, and derives practical recipes for recovering failing runs.

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