Prompting the Unknown: Understanding Response Uncertainty in Large Language Models

Ze Yu Zhang, Arun Verma, Finale Doshi-Velez, Bryan Kian Hsiang Low


Abstract
Large language models (LLMs) are widely used in decision-making across diverse domains. Ensuring the generation of safe and reliable responses is critical for the effective deployment of LLM-based applications, particularly in high-stakes domains such as healthcare and finance. Most of these applications typically use carefully crafted prompts to guide response generation; however, the relationship between prompts and the reliability of LLM-generated responses is not yet fully understood. To address this gap, we propose a novel prompt-response concept model that explains the relationship between the amount of task-relevant information (informativeness) provided in the prompt and the LLM-generated response uncertainty by identifying four sources of response uncertainty: prompt underspecification, model quality, task variability, and semantic redundancy. We prove that response uncertainty decreases as prompt informativeness or model quality increases, mirroring the behavior of epistemic uncertainty in probabilistic models. Our experimental results on real-world datasets further validate our proposed model and corroborate the theoretical results.
Anthology ID:
2026.findings-acl.1548
Volume:
Findings of the Association for Computational Linguistics: ACL 2026
Month:
July
Year:
2026
Address:
San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
30956–30984
Language:
URL:
https://preview.aclanthology.org/ingest-acl/2026.findings-acl.1548/
DOI:
Bibkey:
Cite (ACL):
Ze Yu Zhang, Arun Verma, Finale Doshi-Velez, and Bryan Kian Hsiang Low. 2026. Prompting the Unknown: Understanding Response Uncertainty in Large Language Models. In Findings of the Association for Computational Linguistics: ACL 2026, pages 30956–30984, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
Prompting the Unknown: Understanding Response Uncertainty in Large Language Models (Zhang et al., Findings 2026)
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https://preview.aclanthology.org/ingest-acl/2026.findings-acl.1548.pdf
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