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Recent advances in large language models (LLMs) have been largely driven by scaling laws for individual models, which predict performance improvements as model parameters and data volume increase. However, the capabilities of any single LLM…

Machine Learning · Computer Science 2026-01-29 Dakuan Lu , Jiaqi Zhang , Cheng Yuan , Jiawei Shao , Xuelong Li

Code Large Language Models (LLMs) are revolutionizing software engineering. However, scaling laws that guide the efficient training are predominantly analyzed on Natural Language (NL). Given the fundamental differences like strict syntax…

Computation and Language · Computer Science 2026-05-19 Xianzhen Luo , Wenzhen Zheng , Qingfu Zhu , Rongyi Zhang , Houyi Li , Siming Huang , YuanTao Fan , Wanxiang Che

Scaling laws play a central role in the success of Large Language Models (LLMs), enabling the prediction of model performance relative to compute budgets prior to training. While Transformers have been the dominant architecture, recent…

Machine Learning · Computer Science 2026-02-23 Maximilian Beck , Kajetan Schweighofer , Sebastian Böck , Sebastian Lehner , Sepp Hochreiter

Continual Pre-training (CPT) serves as a fundamental approach for adapting foundation models to domain-specific applications. Scaling laws for pre-training define a power-law relationship between dataset size and the test loss of an LLM.…

Machine Learning · Computer Science 2025-12-29 Lei Liu , Hao Zhu , Yue Shen , Zhixuan Chu , Jian Wang , Jinjie Gu , Kui Ren

Upweighting high-quality data in LLM pretraining often improves performance, but in datalimited regimes, especially under overtraining, stronger upweighting increases repetition and can degrade performance. However, standard scaling laws do…

Computation and Language · Computer Science 2026-05-05 Fengze Liu , Weidong Zhou , Binbin Liu , Ping Guo , Zijun Wang , Bingni Zhang , Yifan Zhang , Yifeng Yu , Xiaohuan Zhou , Taifeng Wang

Regulatory efforts to govern large language model (LLM) development have predominantly focused on restricting access to high-performance computational resources. This study evaluates the efficacy of such measures by examining whether LLM…

Machine Learning · Computer Science 2025-06-06 Jack Sanderson , Teddy Foley , Spencer Guo , Anqi Qu , Henry Josephson

In studies of transferable learning, scaling laws are obtained for various important foundation models to predict their properties and performance at larger scales. We show here how scaling law derivation can also be used for model and…

Machine Learning · Computer Science 2025-06-06 Marianna Nezhurina , Tomer Porian , Giovanni Pucceti , Tommie Kerssies , Romain Beaumont , Mehdi Cherti , Jenia Jitsev

Research on scaling large language models (LLMs) has primarily focused on model parameters and training data size, overlooking the role of vocabulary size. We investigate how vocabulary size impacts LLM scaling laws by training models…

Computation and Language · Computer Science 2024-11-04 Chaofan Tao , Qian Liu , Longxu Dou , Niklas Muennighoff , Zhongwei Wan , Ping Luo , Min Lin , Ngai Wong

In this paper, we investigate the underlying factors that potentially enhance the mathematical reasoning capabilities of large language models (LLMs). We argue that the data scaling law for math reasoning capabilities in modern LLMs is far…

Artificial Intelligence · Computer Science 2024-07-18 Liang Zeng , Liangjun Zhong , Liang Zhao , Tianwen Wei , Liu Yang , Jujie He , Cheng Cheng , Rui Hu , Yang Liu , Shuicheng Yan , Han Fang , Yahui Zhou

This paper derives "scaling laws"--empirical relationships between the training compute of Large Language Models (LLMs) and their performance--for economic outcomes. In a preregistered online experiment, 300 professional translators…

General Economics · Economics 2024-12-10 Ali Merali

The quality of training data impacts the performance of pre-trained large language models (LMs). Given a fixed budget of tokens, we study how to best select data that leads to good downstream model performance across tasks. We develop a new…

Computation and Language · Computer Science 2023-08-01 Mayee F. Chen , Nicholas Roberts , Kush Bhatia , Jue Wang , Ce Zhang , Frederic Sala , Christopher Ré

The application of role-playing large language models (LLMs) is rapidly expanding in both academic and commercial domains, driving an increasing demand for high-precision role-playing models. Simultaneously, the rapid advancement of…

Computation and Language · Computer Science 2025-07-23 Xiachong Feng , Longxu Dou , Lingpeng Kong

Why do larger language models generalize better? To investigate this question, we develop generalization bounds on the pretraining objective of large language models (LLMs) in the compute-optimal regime, as described by the Chinchilla…

Machine Learning · Computer Science 2025-04-22 Marc Finzi , Sanyam Kapoor , Diego Granziol , Anming Gu , Christopher De Sa , J. Zico Kolter , Andrew Gordon Wilson

While protein language models (pLMs) have transformed biological research, the scaling laws governing their improvement remain underexplored. By adapting methodologies from NLP scaling laws, we investigated the optimal ratio between model…

Biomolecules · Quantitative Biology 2024-06-27 Yaiza Serrano , Álvaro Ciudad , Alexis Molina

This paper investigates the ability of large language models (LLMs) to solve statistical tasks, as well as their capacity to assess the quality of reasoning. While state-of-the-art LLMs have demonstrated remarkable performance in a range of…

Computation and Language · Computer Science 2026-01-22 Crish Nagarkar , Leonid Bogachev , Serge Sharoff

Training compute is increasingly outpacing the availability of high-quality data. This shifts the central challenge from optimal compute allocation to extracting maximum value from limited data. The widely adopted Chinchilla scaling law…

Machine Learning · Computer Science 2026-05-05 Justin Lovelace , Christian Belardi , Srivatsa Kundurthy , Shriya Sudhakar , Kilian Q. Weinberger

We study the compute-optimal trade-off between model and training data set sizes for large neural networks. Our result suggests a linear relation similar to that supported by the empirical analysis of chinchilla. While that work studies…

Machine Learning · Computer Science 2023-10-20 Hong Jun Jeon , Benjamin Van Roy

Declarative knowledge and procedural knowledge are two key parts in meta-cognitive theory, and these two hold significant importance in pre-training and inference of LLMs. However, a comprehensive analysis comparing these two types of…

Computation and Language · Computer Science 2024-03-18 Zhuoqun Li , Hongyu Lin , Yaojie Lu , Hao Xiang , Xianpei Han , Le Sun

Neural scaling laws establish a predictable relationship between model performance and data or compute, offering crucial guidance for resource allocation in new domains and tasks. Yet such laws are most needed precisely where they are…

Machine Learning · Computer Science 2026-05-11 Xing Han , Ziyin Liu , Suchi Saria , Paul Pu Liang

Instruction tuning is a burgeoning method to elicit the general intelligence of Large Language Models (LLMs). While numerous studies have examined the impact of factors such as data volume and model size on English models, the scaling…

Computation and Language · Computer Science 2025-03-04 Chiyu Song , Zhanchao Zhou , Jianhao Yan , Yuejiao Fei , Zhenzhong Lan , Yue Zhang