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Data mixing decides how to combine different sources or types of data and is a consequential problem throughout language model training. In pretraining, data composition is a key determinant of model quality; in continual learning and…

Computation and Language · Computer Science 2026-05-18 Michael Y. Hu , Apurva Gandhi , Kyunghyun Cho , Tal Linzen , Pratyusha Sharma

Data duplication during pretraining can degrade generalization and lead to memorization, motivating aggressive deduplication pipelines. However, at web scale, it is unclear what constitutes a ``duplicate'': beyond surface-form matches,…

Machine Learning · Computer Science 2026-03-10 Joshua Kazdan , Noam Levi , Rylan Schaeffer , Jessica Chudnovsky , Abhay Puri , Bo He , Mehmet Donmez , Sanmi Koyejo , David Donoho

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

In this work, we provide a sharp theory of scaling laws for two-layer neural networks trained on a class of hierarchical multi-index targets, in a genuinely representation-limited regime. We derive exact information-theoretic scaling laws…

Machine Learning · Statistics 2026-02-06 Leonardo Defilippis , Florent Krzakala , Bruno Loureiro , Antoine Maillard

To obtain a language model for a target domain (e.g. math), the current paradigm is to pre-train on a vast amount of generic web text and then fine-tune on the relatively limited amount of target data. Typically, generic data is only mixed…

Computation and Language · Computer Science 2026-03-06 Suhas Kotha , Percy Liang

It is commonly believed that scaling language models should commit a significant space or time cost, by increasing the parameters (parameter scaling) or output tokens (inference-time scaling). We introduce the third and more…

Machine Learning · Computer Science 2025-05-16 Mouxiang Chen , Binyuan Hui , Zeyu Cui , Jiaxi Yang , Dayiheng Liu , Jianling Sun , Junyang Lin , Zhongxin Liu

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

We study the continual pretraining recipe for scaling language models' context lengths to 128K, with a focus on data engineering. We hypothesize that long context modeling, in particular \textit{the ability to utilize information at…

Computation and Language · Computer Science 2024-02-16 Yao Fu , Rameswar Panda , Xinyao Niu , Xiang Yue , Hannaneh Hajishirzi , Yoon Kim , Hao Peng

State-of-the-art large language and vision models are trained over trillions of tokens that are aggregated from a large variety of sources. As training data collections grow, manually managing the samples becomes time-consuming, tedious,…

Machine Learning · Computer Science 2026-02-03 Maximilian Böther , Xiaozhe Yao , Tolga Kerimoglu , Dan Graur , Viktor Gsteiger , Ana Klimovic

We investigate trends in the data-error scaling laws of machine learning (ML) models trained on discrete combinatorial spaces that are prone-to-mutation, such as proteins or organic small molecules. We trained and evaluated kernel ridge…

Chemical Physics · Physics 2025-10-10 Vanni Doffini , O. Anatole von Lilienfeld , Michael A. Nash

High-quality data is crucial for the pre-training performance of large language models. Unfortunately, existing quality filtering methods rely on a known high-quality dataset as reference, which can introduce potential bias and compromise…

Computation and Language · Computer Science 2024-08-16 Ruihang Li , Yixuan Wei , Miaosen Zhang , Nenghai Yu , Han Hu , Houwen Peng

Mixture of Experts (MoE) models have emerged as a primary solution for reducing the computational cost of Large Language Models. In this work, we analyze their scaling properties, incorporating an expanded range of variables. Specifically,…

Training Transformer language models is expensive, as performance typically improves with increasing dataset size and computational budget. Although scaling laws describe this trend at large scale, their implications in controlled,…

Targeted marketing policies target different customers with different marketing actions. While most research has focused on training targeting policies without managerial constraints, in practice, many firms face managerial constraints when…

Optimization and Control · Mathematics 2023-12-20 Haihao Lu , Duncan Simester , Yuting Zhu

Reasoning is an integral part of many tasks performed by language models (LMs). However, the effects of scaling model sizes and data on reasoning abilities at pretraining time remain understudied. To rigorously investigate this problem, we…

Artificial Intelligence · Computer Science 2025-09-30 Xinyi Wang , Shawn Tan , Shenbo Xu , Mingyu Jin , William Yang Wang , Rameswar Panda , Yikang Shen

Data in biology is redundant, noisy, and sparse. How does the type and scale of available data impact model performance? In this work, we specifically investigate how protein language models (pLMs) scale with increasing pretraining data. We…

Quantitative Methods · Quantitative Biology 2025-07-31 Aviv Spinner , Erika DeBenedictis , Corey M. Hudson

Large language models (LLMs) are routinely pre-trained on billions of tokens, only to start the process over again once new data becomes available. A much more efficient solution is to continually pre-train these models, saving significant…

Topic-controlled summarisation enables users to generate summaries focused on specific aspects of source documents. This paper investigates a data augmentation strategy for training small language models (sLMs) to perform topic-controlled…

Computation and Language · Computer Science 2026-04-21 Nathikan Yodthapa , Thanapong Intharah , Sahan Bulathwela

In multilingual pretraining, the test loss of a pretrained model is heavily influenced by the proportion of each language in the pretraining data, namely the \textit{language mixture ratios}. Multilingual scaling laws can predict the test…

Computation and Language · Computer Science 2026-05-29 Xuyang Cao , Qianying Liu , Chuan Xiao , Yusuke Oda , Jiayi Wang , Pontus Stenetorp , Daisuke Kawahara , Makoto Onizuka , Sadao Kurohashi , Shuyuan Zheng

We explore optimally training protein language models, an area of significant interest in biological research where guidance on best practices is limited. Most models are trained with extensive compute resources until performance gains…

Machine Learning · Computer Science 2024-11-05 Xingyi Cheng , Bo Chen , Pan Li , Jing Gong , Jie Tang , Le Song
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