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Auteurs principaux: Zhang, Jiaxin, Peng, Xiangyu, Chen, Qinglin, Ye, Qinyuan, Xiong, Caiming, Wu, Chien-Sheng
Format: Preprint
Publié: 2026
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Accès en ligne:https://arxiv.org/abs/2604.16830
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author Zhang, Jiaxin
Peng, Xiangyu
Chen, Qinglin
Ye, Qinyuan
Xiong, Caiming
Wu, Chien-Sheng
author_facet Zhang, Jiaxin
Peng, Xiangyu
Chen, Qinglin
Ye, Qinyuan
Xiong, Caiming
Wu, Chien-Sheng
contents On-policy distillation (OPD) is an increasingly important paradigm for post-training language models. However, we identify a pervasive Scaling Law of Miscalibration: while OPD effectively improves task accuracy, it systematically traps models in severe overconfidence. We trace this failure to an information mismatch: teacher supervision is formed under privileged context available during training, whereas the deployed model must report confidence using only deployment-time information. We formalize this perspective theoretically, showing that teacher-conditioned success is generally not a valid target for deployment-time confidence and that helpful privileged context induces entropy collapse and a systematic optimism bias. To address this, we propose a calibration-aware OPD framework, CaOPD, that estimates empirical confidence from model rollouts, replaces self-reported confidence with this student-grounded target, and distills the revised response through the same self-distillation pipeline. Experiments across various models and domains show that CaOPD achieves Pareto-optimal calibration while maintaining competitive capability, generalizing robustly under out-of-distribution and continual learning. Our findings highlight that capability distillation does not imply calibrated confidence, and that confidence should be treated as an essential objective in post-training. Code: https://github.com/SalesforceAIResearch/CaOPD
format Preprint
id arxiv_https___arxiv_org_abs_2604_16830
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Illusion of Certainty: Decoupling Capability and Calibration in On-Policy Distillation
Zhang, Jiaxin
Peng, Xiangyu
Chen, Qinglin
Ye, Qinyuan
Xiong, Caiming
Wu, Chien-Sheng
Machine Learning
Artificial Intelligence
On-policy distillation (OPD) is an increasingly important paradigm for post-training language models. However, we identify a pervasive Scaling Law of Miscalibration: while OPD effectively improves task accuracy, it systematically traps models in severe overconfidence. We trace this failure to an information mismatch: teacher supervision is formed under privileged context available during training, whereas the deployed model must report confidence using only deployment-time information. We formalize this perspective theoretically, showing that teacher-conditioned success is generally not a valid target for deployment-time confidence and that helpful privileged context induces entropy collapse and a systematic optimism bias. To address this, we propose a calibration-aware OPD framework, CaOPD, that estimates empirical confidence from model rollouts, replaces self-reported confidence with this student-grounded target, and distills the revised response through the same self-distillation pipeline. Experiments across various models and domains show that CaOPD achieves Pareto-optimal calibration while maintaining competitive capability, generalizing robustly under out-of-distribution and continual learning. Our findings highlight that capability distillation does not imply calibrated confidence, and that confidence should be treated as an essential objective in post-training. Code: https://github.com/SalesforceAIResearch/CaOPD
title The Illusion of Certainty: Decoupling Capability and Calibration in On-Policy Distillation
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2604.16830