Examining LLMs' Uncertainty Expression Towards Questions Outside Parametric Knowledge
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Abstract (arXiv)
Can large language models (LLMs) express their uncertainty in situations where they lack sufficient parametric knowledge to generate reasonable responses? This work aims to systematically investigate LLMs' behaviors in such situations, emphasizing the trade-off between honesty and helpfulness. To tackle the challenge of precisely determining LLMs' knowledge gaps, we diagnostically create unanswerable questions containing non-existent concepts or false premises, ensuring that they are outside the LLMs' vast training data. By compiling a benchmark, UnknownBench, which consists of both unanswerable and answerable questions, we quantitatively evaluate the LLMs' performance in maintaining honesty while being helpful. Using a model-agnostic unified confidence elicitation approach, we observe that most LLMs fail to consistently refuse or express uncertainty towards questions outside their parametric knowledge, although instruction fine-tuning and alignment techniques can provide marginal enhancements. Moreover, LLMs' uncertainty expression does not always stay consistent with the perceived confidence of their textual outputs.
Key facts. Cited by 32 papers in the map (data through 14 Oct 2026). Builds on 28 of its 43 references that are in the map. First posted on arXiv 16 Nov 2023.
Builds on
28 of 43 references.
References · 28
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- 2022Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedbackcited by 3,720
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- 2018Know What You Don't Know: Unanswerable Questions for SQuADcited by 1,554
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- 2022Teaching Models to Express Their Uncertainty in Wordscited by 751
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- 2023Won't Get Fooled Again: Answering Questions with False Premisescited by 48
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- 2023Augmenting LLMs with Knowledge: A survey on hallucination preventioncited by 16
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Citing papers per year: 2024: 11; 2025: 11; 2026: 10.
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- 2025X-Teaming: Multi-Turn Jailbreaks and Defenses with Adaptive Multi-Agentscited by 125
- 2024Knowledge Boundary of Large Language Models: A Surveycited by 40
- 2025Generalization Bias in Large Language Model Summarization of Scientific Researchcited by 30
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- 2024Step-On-Feet Tuning: Scaling Self-Alignment of LLMs via Bootstrappingcited by 14
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- 2024LLMs' Reading Comprehension Is Affected by Parametric Knowledge and Struggles with Hypothetical Statementscited by 12
- 2024Cannot or Should Not? Automatic Analysis of Refusal Composition in IFT/RLHF Datasets and Refusal Behavior of Black-Box LLMscited by 11
- 2025MMBoundary: Advancing MLLM Knowledge Boundary Awareness through Reasoning Step Confidence Calibrationcited by 11
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- 2026Confidence Calibration for Multimodal LLMs: An Empirical Study through Medical VQAcited by 4
- 2025Fine-Tuned LLMs Know They Don't Know: A Parameter-Efficient Approach to Recovering Honestycited by 3
- 2026SciPredict: Can LLMs Predict the Outcomes of Scientific Experiments in Natural Sciences?cited by 3
- 2024Probing LLM Hallucination from Within: Perturbation-Driven Approach via Internal Knowledgecited by 2
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- 2025PCS: Perceived Confidence Scoring of Black Box LLMs with Metamorphic Relationscited by 0
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- 2026Stick to What You Know: A Study of Knowledge-Aligned Supervised Fine-Tuning31 Aug 2026
- 2026What Makes Agent Memory Useful for Reliable Unanswerable Question Handling?28 Aug 2026
- 2026Automatic Hard Example Synthesis with Multi-Level Agentic Data Curation15 Jul 2026
- 2026Confidence Calibration for Multimodal LLMs: An Empirical Study through Medical VQA18 Jun 2026
- 2026PhantomBench: Benchmarking the Non-existential Threat of Language Models9 Jun 2026
- 2026Unlearners Can Lie: Evaluating and Improving Honesty in LLM Unlearning9 May 2026
- 2026Learning from AVA: Early Lessons from a Curated and Trustworthy Generative AI for Policy and Development Research20 Apr 2026
- 2026SciPredict: Can LLMs Predict the Outcomes of Scientific Experiments in Natural Sciences?12 Apr 2026
- 2026What Models Know, How Well They Know It: Knowledge-Weighted Fine-Tuning for Learning When to Say "I Don't Know"7 Apr 2026
- 2026Knowledge Boundary Discovery for Large Language Models14 Jan 2026
- 2025A Unified Definition of Hallucination: It's The World Model, Stupid!25 Dec 2025
- 2025Fine-Tuned LLMs Know They Don't Know: A Parameter-Efficient Approach to Recovering Honesty17 Nov 2025
20 more
- 2025MoHoBench: Assessing Honesty of Multimodal Large Language Models via Unanswerable Visual Questions29 Jul 2025
- 2025SafeTy Reasoning Elicitation Alignment for Multi-Turn Dialogues31 May 2025
- 2025MMBoundary: Advancing MLLM Knowledge Boundary Awareness through Reasoning Step Confidence Calibration29 May 2025
- 2025Prioritizing Image-Related Tokens Enhances Vision-Language Pre-Training13 May 2025
- 2025X-Teaming: Multi-Turn Jailbreaks and Defenses with Adaptive Multi-Agents15 Apr 2025
- 2025MOSAIC: Modeling Social AI for Content Dissemination and Regulation in Multi-Agent Simulations10 Apr 2025
- 2025Generalization Bias in Large Language Model Summarization of Scientific Research28 Mar 2025
- 2025Uncertainty Quantification in Retrieval Augmented Question Answering25 Feb 2025
- 2025PCS: Perceived Confidence Scoring of Black Box LLMs with Metamorphic Relations11 Feb 2025
- 2024Cannot or Should Not? Automatic Analysis of Refusal Composition in IFT/RLHF Datasets and Refusal Behavior of Black-Box LLMs22 Dec 2024
- 2024Knowledge Boundary of Large Language Models: A Survey17 Dec 2024
- 2024UAlign: Leveraging Uncertainty Estimations for Factuality Alignment on Large Language Models16 Dec 2024
- 2024Knowledge Graph Guided Evaluation of Abstention Techniques10 Dec 2024
- 2024Probing LLM Hallucination from Within: Perturbation-Driven Approach via Internal Knowledge14 Nov 2024
- 2024A Survey on the Honesty of Large Language Models27 Sep 2024
- 2024Recognizing Limits: Investigating Infeasibility in Large Language Models11 Aug 2024
- 2024BeHonest: Benchmarking Honesty in Large Language Models19 Jun 2024
- 2024LLMs can learn self-restraint through iterative self-reflection15 May 2024
- 2024LLMs' Reading Comprehension Is Affected by Parametric Knowledge and Struggles with Hypothetical Statements9 Apr 2024
- 2024Step-On-Feet Tuning: Scaling Self-Alignment of LLMs via Bootstrapping12 Feb 2024
- 2025MoHoBench: Assessing Honesty of Multimodal Large Language Models via Unanswerable Visual Questionscited by 11
- 2026Confidence Calibration for Multimodal LLMs: An Empirical Study through Medical VQAcited by 4
- 2025Prioritizing Image-Related Tokens Enhances Vision-Language Pre-Trainingcited by 2
- 2026Automatic Hard Example Synthesis with Multi-Level Agentic Data Curationcited by 0
- 2026Automatic Hard Example Synthesis with Multi-Level Agentic Data Curation15 Jul 2026
- 2026Confidence Calibration for Multimodal LLMs: An Empirical Study through Medical VQA18 Jun 2026
- 2025MoHoBench: Assessing Honesty of Multimodal Large Language Models via Unanswerable Visual Questions29 Jul 2025
- 2025Prioritizing Image-Related Tokens Enhances Vision-Language Pre-Training13 May 2025
- 2024A Survey on the Honesty of Large Language Modelscited by 23
- 2024UAlign: Leveraging Uncertainty Estimations for Factuality Alignment on Large Language Modelscited by 13
- 2024Cannot or Should Not? Automatic Analysis of Refusal Composition in IFT/RLHF Datasets and Refusal Behavior of Black-Box LLMscited by 11
- 2024Cannot or Should Not? Automatic Analysis of Refusal Composition in IFT/RLHF Datasets and Refusal Behavior of Black-Box LLMs22 Dec 2024
- 2024UAlign: Leveraging Uncertainty Estimations for Factuality Alignment on Large Language Models16 Dec 2024
- 2024A Survey on the Honesty of Large Language Models27 Sep 2024
- 2024Knowledge Boundary of Large Language Models: A Surveycited by 40
- 2025Generalization Bias in Large Language Model Summarization of Scientific Researchcited by 30
- 2024BeHonest: Benchmarking Honesty in Large Language Modelscited by 24
- 2024LLMs' Reading Comprehension Is Affected by Parametric Knowledge and Struggles with Hypothetical Statementscited by 12
- 2024LLMs can learn self-restraint through iterative self-reflectioncited by 6
- 2024Recognizing Limits: Investigating Infeasibility in Large Language Modelscited by 4
- 2025Fine-Tuned LLMs Know They Don't Know: A Parameter-Efficient Approach to Recovering Honestycited by 3
- 2026SciPredict: Can LLMs Predict the Outcomes of Scientific Experiments in Natural Sciences?cited by 3
- 2024Probing LLM Hallucination from Within: Perturbation-Driven Approach via Internal Knowledgecited by 2
- 2024Knowledge Graph Guided Evaluation of Abstention Techniquescited by 2
- 2026PhantomBench: Benchmarking the Non-existential Threat of Language Modelscited by 2
- 2026Knowledge Boundary Discovery for Large Language Modelscited by 1
12 most cited of 16 All 16 (JSON)
- 2026Stick to What You Know: A Study of Knowledge-Aligned Supervised Fine-Tuning31 Aug 2026
- 2026PhantomBench: Benchmarking the Non-existential Threat of Language Models9 Jun 2026
- 2026Learning from AVA: Early Lessons from a Curated and Trustworthy Generative AI for Policy and Development Research20 Apr 2026
- 2026SciPredict: Can LLMs Predict the Outcomes of Scientific Experiments in Natural Sciences?12 Apr 2026
- 2026What Models Know, How Well They Know It: Knowledge-Weighted Fine-Tuning for Learning When to Say "I Don't Know"7 Apr 2026
- 2026Knowledge Boundary Discovery for Large Language Models14 Jan 2026
- 2025Fine-Tuned LLMs Know They Don't Know: A Parameter-Efficient Approach to Recovering Honesty17 Nov 2025
- 2025Generalization Bias in Large Language Model Summarization of Scientific Research28 Mar 2025
- 2025PCS: Perceived Confidence Scoring of Black Box LLMs with Metamorphic Relations11 Feb 2025
- 2024Knowledge Boundary of Large Language Models: A Survey17 Dec 2024
- 2024Knowledge Graph Guided Evaluation of Abstention Techniques10 Dec 2024
- 2024Probing LLM Hallucination from Within: Perturbation-Driven Approach via Internal Knowledge14 Nov 2024
12 newest of 16 All 16 (JSON)