mlsanityData to 7 Oct 2026

Confidence Comes from Experience: Experiential Confidence Estimation from Reasoning to Agents

arXiv 2609.17708 ↗First posted 15 Sep 2026cs.CL cs.AIcited by 0

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

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Abstract (arXiv)

Reliable confidence estimation is increasingly central to the trustworthy deployment of language models: a calibrated estimate of the probability that an output is correct decides what to ship, what to escalate, and what to retry. Existing confidence estimators, however, share one design premise: they only read the current inference process, either by introspecting on it, scoring its token probabilities, or resampling it. We argue that the current inference is not a sufficient basis for confidence. We propose XConf (eXperiential Confidence): estimating confidence together with the model's accumulated experience. The experience is stored as a record of the model's own graded past episodes, each holding the task, the model's reflection, its stated confidence, the outcome, and a lesson written once the grade arrived. Given a new task, XConf's Recall stage retrieves past episodes on similar tasks met with a similar stated confidence, and reads off their historical success rate; its Reflect stage shows the model this record, has it name its recurring failure mode, and restate a confidence now informed by its own track records. Our estimator is format-general, requiring no logit access or weight updates, and costs only one answer generation. Across nine benchmarks spanning reasoning, coding, multimodal QA, and interactive agents, and four models from three families, XConf beats or matches ten-sample self-consistency in discrimination (AUROC) on 23 of 24 comparisons, with much lower calibration error (ECE), at a tenth of the generation cost. Used for selective prediction, abstaining on the 10% least-confident episodes raises the delivered success rate by up to 8.7 points on agent tasks. We therefore see experiential confidence estimation as a new paradigm for future general-purpose confidence estimation.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 21 of its 74 references that are in the map. First posted on arXiv 15 Sep 2026.

Builds on

21 of 74 references.

Closest ancestors · 1

Same direction, newest first

  1. 2022Language Models (Mostly) Know What They Know11 Jul

Other references · 20

  1. 2025Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilitiescited by 3,655
  2. 2022Teaching Models to Express Their Uncertainty in Wordscited by 731
  3. 2020CodeBLEU: a Method for Automatic Evaluation of Code Synthesiscited by 468
  4. 2025ReasoningBank: Scaling Agent Self-Evolving with Reasoning Memorycited by 253
  5. 2023Conformal Prediction with Large Language Models for Multi-Choice Question Answeringcited by 131
  6. 2023R-Tuning: Instructing Large Language Models to Say `I Don't Know'cited by 106
  7. 2024SaySelf: Teaching LLMs to Express Confidence with Self-Reflective Rationalescited by 102
  8. 2025Gemini Embedding: Generalizable Embeddings from Geminicited by 93
  9. 2024Can Large Language Models Faithfully Express Their Intrinsic Uncertainty in Words?cited by 85
  10. 2024Linguistic Calibration of Long-Form Generationscited by 59
  11. 2026How do LLMs Compute Verbal Confidencecited by 23
  12. 2026Agentic Uncertainty Quantificationcited by 16
8 more
  1. 2025Beyond the Final Layer: Intermediate Representations for Better Multilingual Calibration in Large Language Modelscited by 9
  2. 2026Causal Evidence that Language Models use Confidence to Drive Behaviorcited by 9
  3. 2026Reported Confidence in LLMs Tracks Commitment More Than Correctnesscited by 8
  4. 2025Generalized Correctness Models: Learning Calibrated and Model-Agnostic Correctness Predictors from Historical Patternscited by 5
  5. 2026Code Is More Than Text: Uncertainty Estimation for Code Generationcited by 4
  6. 2026How LLMs Detect and Correct Their Own Errors: The Role of Internal Confidence Signalscited by 3
  7. 2026Critic Experience Bank: Self-Evolving Step-Level Confidence Estimation for LLM Agentscited by 2
  8. 2026The Computational Basis of Confidence in Large Language Modelscited by 1

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  1. 2025REHEARSE: Experiential Rehearsal for Verbal Confidence Calibration in Large Language Models
  2. 2024Confidence Under the Hood: An Investigation into the Confidence-Probability Alignment in Large Language Models
  3. 2025Knowing What You Know Is Not Enough: Large Language Model Confidences Don't Align With Their Actions
  4. 2026The ACUTE Protocol: Operationalizing Language Model Activations for Better Calibration, Utility, and Trust
  5. 2026An Analysis of Training-Free Self-Reported Confidence in Language Models
  6. 2026CALIBER: Calibrating Confidence Before and After Reasoning in Language Models
  7. 2025Let the Model Distribute Its Doubt: Confidence Estimation through Verbalized Probability Distribution
  8. 2026When Words Fall Short: Iterative Synergy Between Verbalized Reasoning and Hidden Features for LLM Confidence Estimation