Adam’s Law: Textual Frequency Law on Large Language Models

Hongyuan Lu, Zixuan Li, Zefan Zhang, Bowen Cao, Wai Lam


Abstract
While textual frequency has been validated as relevant to human cognition in reading speed, its relatedness to Large Language Models (LLMs) is seldom studied. We propose a novel research direction in terms of textual data frequency, which is an understudied topic. to the best of our knowledge. Our framework is composed of three units. First, this paper proposes Textual Frequency Law (TFL), which indicates that frequent textual data should be preferred for LLMs for both prompting and fine-tuning. Since many LLMs are closed-source in their training data, we propose using online resources to estimate the sentence-level frequency. We can then use an input paraphraser to paraphrase the input into a more frequent textual expression. Next, we propose Textual Frequency Distillation (TFD) by querying LLMs to conduct story completion by further extending the sentences in the datasets, and the resulting corpora are used to adjust the initial estimation. Finally, we propose Curriculum Textual Frequency Training (CTFT) that fine-tunes LLMs in an increasing order of sentence-level frequency. Experiments are conducted on our curated dataset Textual Frequency Paired Dataset (TFPD) on math reasoning and machine translation. Results indicate the effectiveness of our framework.
Anthology ID:
2026.acl-long.188
Volume:
Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
July
Year:
2026
Address:
San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
Venue:
ACL
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Publisher:
Association for Computational Linguistics
Note:
Pages:
4079–4105
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URL:
https://preview.aclanthology.org/ingest-acl/2026.acl-long.188/
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Bibkey:
Cite (ACL):
Hongyuan Lu, Zixuan Li, Zefan Zhang, Bowen Cao, and Wai Lam. 2026. Adam’s Law: Textual Frequency Law on Large Language Models. In Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 4079–4105, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
Adam’s Law: Textual Frequency Law on Large Language Models (Lu et al., ACL 2026)
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