mlsanityData to 14 Oct 2026

Self-Calibrating Language Models via Test-Time Discriminative Distillation

arXiv 2604.09624 ↗First posted 18 Mar 2026cs.CL cs.LGcited by 1

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Abstract (arXiv)

Large language models (LLMs) are systematically overconfident: they routinely express high certainty on questions they often answer incorrectly. Existing calibration methods either require labeled validation data, degrade under distribution shifts, or incur substantial inference costs. Recent work has shown that LLMs already contain a better-calibrated signal than the one they verbalize: the token probability of "True" when the model is asked "Is this answer correct?" (P(True)) consistently outperforms their stated confidence, a gap that is theoretically grounded as generative error is lower-bounded by roughly twice the corresponding discriminative error. We introduce SECL (SElf-Calibrating Language Models), a test-time training (TTT) pipeline that exploits this gap as label-free self-supervision, requiring no labeled data or human supervision. SECL adapts only when the input distribution shifts, training on just 6--26% of the question stream at lower cost than the baseline it distills from. Across four small language models from three model families and four diverse domains, SECL reduces Expected Calibration Error (ECE) by 56--78%, outperforming its own supervision signal and matching or outperforming recent inference-time methods. SECL is the first method to apply TTT to calibration; seven ablations covering signal quality, gating strategy, weight accumulation, loss design, domain ordering, hyperparameter sensitivity, and layer selection confirm that each component is crucial and robust across configurations. Code: https://anonymous.4open.science/r/secl-emnlp26-submission-C890

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 23 of its 40 references that are in the map. First posted on arXiv 18 Mar 2026.

Builds on

23 of 40 references.

References · 23

  1. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  2. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  3. 2017On Calibration of Modern Neural Networkscited by 4,960
  4. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
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  10. 2023Can LLMs Express Their Uncertainty? An Empirical Evaluation of Confidence Elicitation in LLMscited by 974
  11. 2023Just Ask for Calibration: Strategies for Eliciting Calibrated Confidence Scores from Language Models Fine-Tuned with Human Feedbackcited by 812
  12. 2022Teaching Models to Express Their Uncertainty in Wordscited by 751
11 more
  1. 2022Continual Test-Time Domain Adaptationcited by 525
  2. 2020How Can We Know When Language Models Know? On the Calibration of Language Models for Question Answeringcited by 445
  3. 2024Learning to (Learn at Test Time): RNNs with Expressive Hidden Statescited by 355
  4. 2025Beyond Binary Rewards: Training LMs to Reason About Their Uncertaintycited by 117
  5. 2024HaloScope: Harnessing Unlabeled LLM Generations for Hallucination Detectioncited by 99
  6. 2025Self-Adapting Language Modelscited by 84
  7. 2025Efficient Test-Time Scaling via Self-Calibrationcited by 75
  8. 2025Rewarding Doubt: A Reinforcement Learning Approach to Calibrated Confidence Expression of Large Language Modelscited by 52
  9. 2023LitCab: Lightweight Language Model Calibration over Short- and Long-form Responsescited by 44
  10. 2024Do LLMs estimate uncertainty well in instruction-following?cited by 26
  11. 2025Semantic Energy: Detecting LLM Hallucination Beyond Entropycited by 18

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