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arXiv cs.CL· Zhimin Gao, Meibo Hu, Jiamian Wang, Zhiqiang Tao, Pichao Wang·· 12 小时前AI 评分31

PRDO:面向推理模型选择性预测的推理后分布优化

Beyond Outcome Rewards: Post-Rationale Distribution Optimization for Selective Prediction in Reasoning Models

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研究者提出 Post-Rationale Distribution Optimization(PRDO),在每个采样推理链之后对答案分布施加 proper score,无需目标推理链或单独置信度标签。

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Abstract:Reasoning models are trained to produce correct answers, yet selective deployment requires ranking which answers to accept or defer, and outcome-reward training does not directly optimize the post-rationale distribution used for that decision. We identify two mismatches: expected correctness is mode-seeking rather than distribution-eliciting, and scoring an average across rationales rewards disagreement unavailable to a single-rationale decision. We introduce Post-Rationale Distribution Optimization (PRDO), which applies a proper score to the answer distribution after each sampled rationale, without target rationales or separate confidence labels. Across four 0.6--3.8-billion-parameter models on MMLU-Pro, PRDO improves Brier score, error ranking and secondary accuracy relative to budget-matched, temperature-scaled GRPO. At 20\% realized error, oracle coverage rises by \npj{Q3a_vs_grpo.qwen3-0.6b.mp.oracle_cov@0.this http URL}--\npj{this http URL-4-mini.mp.oracle_cov@0.this http URL} percentage points, and ranking gains transfer to unseen tasks. Matched controls identify proper, per-rationale scoring as the active design choices, while verification tasks show the boundary: better selective ranking can coexist with lower full-coverage accuracy. Code is available at this https URL
Subjects: Artificial Intelligence (cs.AI); Computation and Language (cs.CL)
Cite as: arXiv:2609.38850 [cs.AI]
  (or arXiv:2609.38850v2 [cs.AI] for this version)
  https://doi.org/10.48550/arXiv.2609.38850

arXiv-issued DOI via DataCite

Submission history

From: Pichao Wang [view email]
[v1] Wed, 30 Sep 2026 03:08:45 UTC (55 KB)
[v2] Sun, 1 Nov 2026 19:28:31 UTC (545 KB)

来源:arXiv cs.CL · arxiv.org