Pinocchio: Fast Uncertainty Estimates for Black-Box Language Models
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Abstract (arXiv)
In high-stakes decision-making applications of large language models (LLMs), practitioners require not only accurate LLMs but also uncertainty estimates for their predictions. Existing approaches to uncertainty estimation for LLMs require access to log-probabilities output by the model or require fine-tuning access. However, many industrial LLM products use closed-source API models, and many such API models like GPT do not return log-probabilities and may not allow fine-tuning. We introduce Pinocchio, an external calibrator that estimates the correctness of responses from black-box API models. Trained jointly on responses from seven LLMs, it achieves 0.862 AUROC predicting the correctness of held-out responses from those same models, and shows zero-shot transfer to thirteen unseen models across eight organizations. Our model needs only a single forward pass to generate an uncertainty estimate and requires no access to the target model's logits, weights, or internal states. A lightweight text only 0.8B checkpoint matches our largest model's AUROC. We release code for adding uncertainty estimation to existing repos in only two additional lines of code.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 49 of its 58 references that are in the map. First posted on arXiv 21 Sep 2026.
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References · 49
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,626
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
- 2017On Calibration of Modern Neural Networkscited by 4,960
- 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
- 2025Qwen3-VL Technical Reportcited by 2,793
- 2023MMMU: A Massive Multi-discipline Multimodal Understanding and Reasoning Benchmark for Expert AGIcited by 2,080
- 2022Language Models (Mostly) Know What They Knowcited by 1,856
- 2023Evaluating Object Hallucination in Large Vision-Language Modelscited by 1,729
- 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,614
- 2023MM-Vet: Evaluating Large Multimodal Models for Integrated Capabilitiescited by 1,239
37 more
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- 2017Selective Classification for Deep Neural Networkscited by 852
- 2023Semantic Uncertainty: Linguistic Invariances for Uncertainty Estimation in Natural Language Generationcited by 819
- 2023Just Ask for Calibration: Strategies for Eliciting Calibrated Confidence Scores from Language Models Fine-Tuned with Human Feedbackcited by 812
- 2023Large Language Modelscited by 780
- 2022Discovering Latent Knowledge in Language Models Without Supervisioncited by 767
- 2022Teaching Models to Express Their Uncertainty in Wordscited by 751
- 2023The Internal State of an LLM Knows When It's Lyingcited by 659
- 2024MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?cited by 586
- 2023HallusionBench: An Advanced Diagnostic Suite for Entangled Language Hallucination and Visual Illusion in Large Vision-Language Modelscited by 583
- 2024Measuring Multimodal Mathematical Reasoning with MATH-Vision Datasetcited by 526
- 2023Generating with Confidence: Uncertainty Quantification for Black-box Large Language Modelscited by 293
- 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 284
- 2024LiveBench: A Challenging, Contamination-Limited LLM Benchmarkcited by 262
- 2024Semantic Entropy Probes: Robust and Cheap Hallucination Detection in LLMscited by 259
- 2020Reducing conversational agents' overconfidence through linguistic calibrationcited by 210
- 2025BIG-Bench Extra Hardcited by 125
- 2023Quantifying Uncertainty in Answers from any Language Model and Enhancing their Trustworthinesscited by 122
- 2023R-Tuning: Instructing Large Language Models to Say `I Don't Know'cited by 111
- 2024Large Language Models Must Be Taught to Know What They Don't Knowcited by 100
- 2024VL-Uncertainty: Detecting Hallucination in Large Vision-Language Model via Uncertainty Estimationcited by 73
- 2024API Is Enough: Conformal Prediction for Large Language Models Without Logit-Accesscited by 69
- 2024Calibrating Large Language Models Using Their Generations Onlycited by 65
- 2024SPUQ: Perturbation-Based Uncertainty Quantification for Large Language Modelscited by 56
- 2024Overconfidence is Key: Verbalized Uncertainty Evaluation in Large Language and Vision-Language Modelscited by 54
- 2024Critic-V: VLM Critics Help Catch VLM Errors in Multimodal Reasoningcited by 50
- 2024Do LLMs estimate uncertainty well in instruction-following?cited by 26
- 2025Calibrating LLM Confidence by Probing Perturbed Representation Stabilitycited by 23
- 2025A Head to Predict and a Head to Question: Pre-trained Uncertainty Quantification Heads for Hallucination Detection in LLM Outputscited by 21
- 2024Probabilities of Chat LLMs Are Miscalibrated but Still Predict Correctness on Multiple-Choice Q&Acited by 16
- 2023Selective Generation for Controllable Language Modelscited by 15
- 2026Complementing Self-Consistency with Cross-Model Disagreement for Uncertainty Quantificationcited by 10
- 2025Calibrating Uncertainty Quantification of Multi-Modal LLMs using Groundingcited by 8
- 2025FineGRAIN: Evaluating Failure Modes of Text-to-Image Models with Vision Language Model Judgescited by 7
- 2025Uncertainty-o: One Model-agnostic Framework for Unveiling Uncertainty in Large Multimodal Modelscited by 5
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