A new arXiv paper introduces a three-stage calibration framework analyzing how supervised fine-tuning (SFT), reinforcement learning (RL), and on-policy distillation (OPD) shape model confidence before, during, and after chain-of-thought reasoning. The authors find that each post-training method produces distinct calibration profiles at different reasoning stages, and that RL confidence becomes informative only after a path-commitment phase while OPD confidence degrades later. They propose PosConf, a position-aware confidence strategy that selectively uses confidence from reliable relative-position intervals, improving RL answer aggregation by 6.1 points over majority voting and OPD early stopping by up to 4.3 points.
Researchers introduce 'future confidence distillation,' a method that trains predictors on pre-solution hidden representations using post-solution correctness probes as teacher signals, enabling reliable confidence estimation before answer generation completes. The paper compares pre-solution Feeling-of-Knowing (FOK) and post-solution Judgement-of-Learning (JOL) confidence estimates across frontier and open-source LLMs, finding post-solution estimates are better calibrated and that linear probes recover richer confidence information than models verbalize. Distilled predictors recover much of the post-solution calibration improvement while remaining sample-efficient and domain-transferable. This has practical implications for confidence-aware systems involving retrieval, tool use, and adaptive computation.
A new arXiv preprint introduces a framework to measure faithful calibration (FC) in large reasoning models (LRMs)—the alignment between a model's intrinsic confidence and its linguistically expressed confidence. The authors analyze linguistic decisiveness against three internal uncertainty sources (token probabilities, hidden states, sampled response consistency) and introduce prefix-conditioned sampling to handle structural variation in chain-of-thought traces. Applying the framework across leading models, they find FC is a significant and distinct failure mode for LRMs: extended reasoning traces do not automatically improve calibration, prompt interventions that help non-reasoning models fail in the reasoning setting, and different confidence estimators produce divergent assessments of the same traces.
Researchers introduce Reinforcement Learning with Metacognitive Feedback (RLMF), a training paradigm that refines preference optimization using a model's self-judgments of its own performance quality. The method is applied to faithful calibration — aligning a model's expressed confidence with its intrinsic uncertainty — and achieves state-of-the-art results across diverse tasks while outperforming standard RL by up to 63%. A companion technique, metacognitive data selection, uses similar self-judgments to identify high-value training examples, outperforming naive active learning baselines. The work positions metacognitive performance as a novel and effective RL signal for improving LLM reliability and alignment.
A new arXiv preprint provides theoretical analysis of Reinforcement Learning from Verifiable Rewards (RLVR) updates, identifying off-policy degree and gradient expectation as key factors governing update dynamics. The authors show that differences in gradient steps per rollout substantially affect importance sampling ratio distributions and which tokens dominate updates. Based on this analysis, they propose Adaptive Clip Policy Optimization (ACPO), which adjusts clipping boundaries per token group by empirical variance of importance sampling ratios, outperforming DAPO and CISPO baselines on 3B and 7B models across math, tabular QA, and logic benchmarks.
A new arXiv preprint identifies why on-policy self-distillation (OPSD) consistently degrades long chain-of-thought reasoning models: the teacher's supervision signal is dominated by reference-induced shortcuts rather than question-conditioned, transferable corrections. The authors propose a two-step fix using a reference-only teacher to isolate the non-transferable component and pointwise mutual information (PMI) to construct a cleaner distillation target. Experiments across four long-CoT models on two datasets show consistent improvements over both the base model and standard OPSD while preserving reflective reasoning behavior.
A systematic study audits whether converting instruction-tuned LLMs into reasoning models via SFT, RL-based post-training, or distillation preserves alignment behaviors such as safe refusal, bias avoidance, and privacy protection. Across six trustworthiness dimensions, the authors find consistent alignment regressions—including increased toxicity, amplified stereotyping, miscalibrated refusal, and privacy leakage—even as reasoning benchmark scores improve. The regressions are quantified via KL divergence from the instruction-tuned baseline, suggesting behavioral drift is a systematic byproduct of reasoning post-training. The paper argues trustworthiness metrics should be reported alongside reasoning capability gains.
Researchers introduce CARE-PPO, a reinforcement learning fine-tuning framework that jointly trains LLMs for numerical prediction accuracy and calibrated confidence estimation. The approach repurposes the PPO critic as a confidence estimator at inference time, using a Confidence-Aligned Reward for Estimation derived from prediction error. Evaluated on healthcare and finance tasks with Qwen-3 4B and 8B models, CARE-PPO outperforms logit-based and verbalized confidence baselines and shows improved out-of-distribution generalization. The work addresses the hallucination and overconfidence problems that limit LLM deployment in high-stakes quantitative domains.
A new arXiv paper investigates context design for self-distillation of language models, comparing binary reward (GRPO), reference solutions, and step-by-step critiques aligned to the solver's reasoning trace. Step-aligned critique yields the largest gains, outperforming GRPO by 16.11 points and reference-solution conditioning by 5.27 points on Avg@12. Per-token advantage analysis shows that step-aligned feedback targets only failing tokens, avoiding unnecessary pressure on already-correct reasoning steps. The findings suggest structural alignment between feedback and the model's reasoning trace is a key driver of self-distillation effectiveness.