Do Influence Functions Work on Large Language Models?

Zhe Li, Wei Zhao, Yige Li, Jun Sun


Abstract
Influence functions are important for quantifying the impact of individual training data points on a model’s predictions. Although extensive research has been conducted on influence functions in traditional machine learning models, their application to large language models (LLMs) has been limited. In this work, we conduct a systematic study to address a key question: do influence functions work on LLMs? Specifically, we evaluate influence functions across multiple tasks and find that they consistently perform poorly in most settings. Our further investigation reveals that their poor performance can be attributed to: (1) inevitable approximation errors when estimating the iHVP component due to the scale of LLMs, (2) uncertain convergence during fine-tuning, and, more fundamentally, (3) the definition itself, as changes in model parameters do not necessarily correlate with changes in LLM behavior. Thus, our study suggests the need for alternative approaches for identifying influential samples.
Anthology ID:
2025.findings-emnlp.775
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2025
Month:
November
Year:
2025
Address:
Suzhou, China
Editors:
Christos Christodoulopoulos, Tanmoy Chakraborty, Carolyn Rose, Violet Peng
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
14367–14382
Language:
URL:
https://preview.aclanthology.org/author-page-yu-wang-polytechnic/2025.findings-emnlp.775/
DOI:
10.18653/v1/2025.findings-emnlp.775
Bibkey:
Cite (ACL):
Zhe Li, Wei Zhao, Yige Li, and Jun Sun. 2025. Do Influence Functions Work on Large Language Models?. In Findings of the Association for Computational Linguistics: EMNLP 2025, pages 14367–14382, Suzhou, China. Association for Computational Linguistics.
Cite (Informal):
Do Influence Functions Work on Large Language Models? (Li et al., Findings 2025)
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PDF:
https://preview.aclanthology.org/author-page-yu-wang-polytechnic/2025.findings-emnlp.775.pdf
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