Hallucination is Inevitable: An Innate Limitation of Large Language Models
By Ziwei Xu, S. Jain, Mohan Kankanhalli. arXiv.org, 2024
627 citations recorded by the source corpus.
Hallucination has been widely recognized to be a significant drawback for large language models (LLMs). There have been many works that attempt to reduce the extent of hallucination. These efforts have mostly been empirical so far, which cannot answer the fundamental question whether it can be completely eliminated. In this paper, we formalize the problem and show that it is impossible to eliminate hallucination in LLMs. Specifically, we define a formal world where hallucination is defined as inconsistencies between a computable LLM and a computable ground truth function. By employing results from learning theory, we show that LLMs cannot learn all the computable functions and will therefore inevitably hallucinate if used as general problem solvers. Since the formal world is a part of the real world which is much more complicated, hallucinations are also inevitable for real world LLMs. Furthermore, for real world LLMs constrained by provable time complexity, we describe the hallucination-prone tasks and empirically validate our claims. Finally, using the formal world framework, we discuss the possible mechanisms and efficacies of existing hallucination mitigators as well as the practical implications on the safe deployment of LLMs.
Subfields: Artificial Intelligence, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/5cd671efa2af8456c615c5faf54d1be4950f3819
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In Artificial Intelligence
Citations in the corpus
- The ethics of ChatGPT in medicine and healthcare: a systematic review on Large Language Models (LLMs) (2024, background): “92 The effects of such misinformation are particularly severe in healthcare, where the outcome could be dire.”
- A framework to assess clinical safety and hallucination rates of LLMs for medical text summarisation (2025, neutral): “Our study supported that hallucinations and omissions may be intrinsic theoretical properties of current LLMs 9 .”