Can Language Models Discover Scaling Laws?

Fuente: arXiv
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Auteurs principaux: Lin, Haowei, Ye, Haotian, Feng, Wenzheng, Huang, Quzhe, Li, Yujun, Lim, Hubert, Li, Zhengrui, Wang, Xiangyu, Ma, Jianzhu, Liang, Yitao, Zou, James
Format: Preprint
Publié: 2025
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author Lin, Haowei
Ye, Haotian
Feng, Wenzheng
Huang, Quzhe
Li, Yujun
Lim, Hubert
Li, Zhengrui
Wang, Xiangyu
Ma, Jianzhu
Liang, Yitao
Zou, James
author_facet Lin, Haowei
Ye, Haotian
Feng, Wenzheng
Huang, Quzhe
Li, Yujun
Lim, Hubert
Li, Zhengrui
Wang, Xiangyu
Ma, Jianzhu
Liang, Yitao
Zou, James
contents Discovering scaling laws for predicting model performance at scale is a fundamental and open-ended challenge, mostly reliant on slow, case specific human experimentation. To investigate the potential for LLMs to automate this process, we collect over 5,000 experiments from existing literature and curate eight diverse scaling law discovery tasks. While existing agents struggle to produce accurate law formulas, this paper introduces SLDAgent, an evolution-based agent that co-optimize the scaling law model and the parameters, enabling it to autonomously explore complex relationships between variables. For the first time, we demonstrates that SLDAgent can automatically discover laws that exhibit consistently more accurate extrapolation than their established, human-derived counterparts across all tasks. Through comprehensive analysis, we elucidate why these discovered laws are superior and verify their practical utility in both pretraining and finetuning applications. This work establishes a new paradigm for agentic scientific discovery, showing that AI systems can understand their own scaling behavior, and can contribute novel and practical knowledge back to the research community.
format Preprint
id arxiv_https___arxiv_org_abs_2507_21184
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Can Language Models Discover Scaling Laws?
Lin, Haowei
Ye, Haotian
Feng, Wenzheng
Huang, Quzhe
Li, Yujun
Lim, Hubert
Li, Zhengrui
Wang, Xiangyu
Ma, Jianzhu
Liang, Yitao
Zou, James
Machine Learning
Artificial Intelligence
Computation and Language
Discovering scaling laws for predicting model performance at scale is a fundamental and open-ended challenge, mostly reliant on slow, case specific human experimentation. To investigate the potential for LLMs to automate this process, we collect over 5,000 experiments from existing literature and curate eight diverse scaling law discovery tasks. While existing agents struggle to produce accurate law formulas, this paper introduces SLDAgent, an evolution-based agent that co-optimize the scaling law model and the parameters, enabling it to autonomously explore complex relationships between variables. For the first time, we demonstrates that SLDAgent can automatically discover laws that exhibit consistently more accurate extrapolation than their established, human-derived counterparts across all tasks. Through comprehensive analysis, we elucidate why these discovered laws are superior and verify their practical utility in both pretraining and finetuning applications. This work establishes a new paradigm for agentic scientific discovery, showing that AI systems can understand their own scaling behavior, and can contribute novel and practical knowledge back to the research community.
title Can Language Models Discover Scaling Laws?
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2507.21184