mlsanityData to 14 Oct 2026

Post-Training Shifts Confidence: A Three-Stage Analysis of How SFT, RL, and OPD Shape CoT Calibration

arXiv 2607.13753 ↗First posted 15 Jul 2026cs.CLcited by 1

On the map: LLM reasoning → Test-time compute and efficient thinking

also in 1 more
Abstract (arXiv)

Large language models have made strong reasoning gains through supervised fine-tuning, reinforcement learning, and on-policy distillation, yet these post-training methods are usually evaluated only by final-answer accuracy. We study how they reshape confidence during reasoning. We introduce a three-stage calibration framework that evaluates confidence before, during, and after chain-of-thought generation, corresponding to difficulty estimation, early termination, and answer aggregation. Through a controlled comparison on mathematical reasoning benchmarks, we find that OPD provides the most useful pre-reasoning confidence, SFT gives the strongest online signal for early stopping, and RL produces the most reliable trace-level signal for aggregation. We further show that confidence reliability is position-dependent: RL confidence becomes informative after a path-commitment phase, while OPD confidence is useful early but can become inversely calibrated later. Based on this observation, we propose PosConf, a position-aware confidence strategy that uses confidence only from reliable relative-position intervals. PosConf improves RL answer aggregation by 6.1 points over majority voting and consistently improves OPD early stopping under tight token budgets, with gains up to 4.3 points by avoiding its later inverse-calibration region, showing that confidence in reasoning models should be used both stage-wise and position-awarely. Our code is available at https://github.com/EIT-NLP/Post-Training-Calibration.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 34 of its 51 references that are in the map. First posted on arXiv 15 Jul 2026.

Builds on

34 of 51 references.

Closest ancestors · 2

Same direction, newest first

  1. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
  2. 2024V-STaR: Training Verifiers for Self-Taught Reasoners9 Feb

Other references · 32

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2015Distilling the Knowledge in a Neural Networkcited by 10,324
  3. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  4. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  6. 2017On Calibration of Modern Neural Networkscited by 4,960
  7. 2022Large Language Models are Zero-Shot Reasonerscited by 4,374
  8. 2023Let's Verify Step by Stepcited by 3,789
  9. 2020Learning to summarize from human feedbackcited by 2,588
  10. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
  11. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
  12. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,090
20 more
  1. 2024Large Language Monkeys: Scaling Inference Compute with Repeated Samplingcited by 991
  2. 2023Can LLMs Express Their Uncertainty? An Empirical Evaluation of Confidence Elicitation in LLMscited by 974
  3. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 928
  4. 2022Solving math word problems with process- and outcome-based feedbackcited by 901
  5. 2021Show Your Work: Scratchpads for Intermediate Computation with Language Modelscited by 886
  6. 2017Selective Classification for Deep Neural Networkscited by 852
  7. 2023Just Ask for Calibration: Strategies for Eliciting Calibrated Confidence Scores from Language Models Fine-Tuned with Human Feedbackcited by 812
  8. 2022Teaching Models to Express Their Uncertainty in Wordscited by 751
  9. 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoningcited by 559
  10. 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wildcited by 511
  11. 2020How Can We Know When Language Models Know? On the Calibration of Language Models for Question Answeringcited by 445
  12. 2021Revisiting the Calibration of Modern Neural Networkscited by 390
  13. 2023Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Modelscited by 349
  14. 2020Calibration of Pre-trained Transformerscited by 315
  15. 2023A Survey of Confidence Estimation and Calibration in Large Language Modelscited by 256
  16. 2026Entropy-Aware On-Policy Distillation of Language Modelscited by 175
  17. 2025Harnessing Uncertainty: Entropy-Modulated Policy Gradients for Long-Horizon LLM Agentscited by 46
  18. 2026Decoupling KL and Trajectories: A Unified Perspective for SFT, DAgger, Offline RL, and OPD in LLM Distillationcited by 20
  19. 2025Calibration Across Layers: Understanding Calibration Evolution in LLMscited by 9
  20. 2026TAPS: Target-Aware Prefix Tree Selection for Diffusion-Drafted Speculative Decodingcited by 9

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

Close in wording, no citation either way

  1. 2026RL-ARC: Calibrating Large Reasoning Models via Reasoning-guided Uncertainty
  2. 2026On the Pitfalls of Verbalized Confidence Priors for Calibrating Large Reasoning Models
  3. 2026Understanding and Mitigating Premature Confidence for Better LLM Reasoning
  4. 2026Early Stopping for Large Reasoning Models via Confidence Dynamics
  5. 2026CALIBER: Calibrating Confidence Before and After Reasoning in Language Models
  6. 2025Reasoning Models Better Express Their Confidence
  7. 2025Verbalized Confidence Triggers Self-Verification: Emergent Behavior Without Explicit Reasoning Supervision
  8. 2026Confidence over Time: Confidence Calibration with Temporal Logic for Large Language Model Reasoning