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On a variety of tasks, the performance of neural networks predictably improves with training time, dataset size and model size across many orders of magnitude. This phenomenon is known as a neural scaling law. Of fundamental importance is…

Machine Learning · Statistics 2024-06-25 Blake Bordelon , Alexander Atanasov , Cengiz Pehlevan

Language models achieve impressive performance on a variety of knowledge, language, and reasoning tasks due to the scale and diversity of pretraining data available. The standard training recipe is a two-stage paradigm: pretraining first on…

Computation and Language · Computer Science 2026-03-20 Skyler Seto , Pierre Ablin , Anastasiia Filippova , Jiayuan Ye , Louis Bethune , Angelos Katharopoulos , David Grangier

Multilingual language models (MLLMs) are crucial for handling text across various languages, yet they often show performance disparities due to differences in resource availability and linguistic characteristics. While the impact of…

Computation and Language · Computer Science 2024-12-18 Sina Bagheri Nezhad , Ameeta Agrawal , Rhitabrat Pokharel

Large Language Models (LLMs) have emerged as a milestone in artificial intelligence, and their performance can improve as the model size increases. However, this scaling brings great challenges to training and inference efficiency,…

Artificial Intelligence · Computer Science 2024-12-09 Chaojun Xiao , Jie Cai , Weilin Zhao , Guoyang Zeng , Biyuan Lin , Jie Zhou , Zhi Zheng , Xu Han , Zhiyuan Liu , Maosong Sun

We identify empirical scaling laws for the cross-entropy loss in four domains: generative image modeling, video modeling, multimodal image$\leftrightarrow$text models, and mathematical problem solving. In all cases autoregressive…

Large language models are trained with tokenizers, and the resulting token distribution is highly imbalanced: a few words dominate the stream while most occur rarely. Recent practice favors ever-larger vocabularies, but it is unclear where…

Computation and Language · Computer Science 2025-12-01 Woojin Chung , Jeonghoon Kim

Language model pretraining generally targets a broad range of use cases and incorporates data from diverse sources. However, there are instances where we desire a model that excels in specific areas without markedly compromising performance…

Computation and Language · Computer Science 2024-09-24 Ernie Chang , Pin-Jie Lin , Yang Li , Changsheng Zhao , Daeil Kim , Rastislav Rabatin , Zechun Liu , Yangyang Shi , Vikas Chandra

Since compute grows much faster than web text available for language model pre-training, we ask how one should approach pre-training under fixed data and no compute constraints. We first show that existing data-constrained approaches of…

Machine Learning · Computer Science 2025-09-19 Konwoo Kim , Suhas Kotha , Percy Liang , Tatsunori Hashimoto

In machine learning, the scaling law describes how the model performance improves with the model and data size scaling up. From a learning theory perspective, this class of results establishes upper and lower generalization bounds for a…

Machine Learning · Computer Science 2025-02-14 Shihong Ding , Haihan Zhang , Hanzhen Zhao , Cong Fang

We investigate the performance of large language models on repetitive deterministic prediction tasks and study how the sequence accuracy rate scales with output length. Each such task involves repeating the same operation n times. Examples…

Artificial Intelligence · Computer Science 2025-11-25 Wanda Hou , Leon Zhou , Hong-Ye Hu , Yubei Chen , Yi-Zhuang You , Xiao-Liang Qi

Large language models achieve high performance on many but not all downstream tasks. The interaction between pretraining data and task data is commonly assumed to determine this variance: a task with data that is more similar to a model's…

Computation and Language · Computer Science 2023-11-16 Gregory Yauney , Emily Reif , David Mimno

Representation learning plays a central role in structuring internal embeddings to capture the statistical properties of language, influencing the coherence and contextual consistency of generated text. Statistical Coherence Alignment is…

Computation and Language · Computer Science 2025-08-11 Jonathan Gale , Godfrey Aldington , Harriet Thistlewood , Thomas Tattershall , Basil Wentworth , Vincent Enoasmo

The quality of Large Language Model (LLM) pretraining depends on multiple factors, including the compute budget and the choice of optimization algorithm. Empirical scaling laws are widely used to predict loss as model size and training data…

Machine Learning · Computer Science 2026-02-25 Alexandra Volkova , Mher Safaryan , Christoph H. Lampert , Dan Alistarh

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

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

Predicting material properties is crucial for designing better batteries, semiconductors, and medical devices. Deep learning helps scientists quickly find promising materials by predicting their energy, forces, and stresses. Companies scale…

Machine Learning · Computer Science 2025-09-29 Akshay Trikha , Kyle Chu , Advait Gosai , Parker Szachta , Eric Weiner

Modern language models (LMs) must be trained on many orders of magnitude more words of training data than human children receive before they begin to produce useful behavior. Assessing the nature and origins of this "data gap" requires…

Computation and Language · Computer Science 2026-04-01 Steven Y. Feng , Alvin W. M. Tan , Michael C. Frank

Recent studies have found that model performance has a smooth power-law relationship, or scaling laws, with training data and model size, for a wide range of problems. These scaling laws allow one to choose nearly optimal data and model…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-29 Yile Gu , Prashanth Gurunath Shivakumar , Jari Kolehmainen , Ankur Gandhe , Ariya Rastrow , Ivan Bulyko

Empirically, large-scale deep learning models often satisfy a neural scaling law: the test error of the trained model improves polynomially as the model size and data size grow. However, conventional wisdom suggests the test error consists…

Machine Learning · Computer Science 2025-06-11 Licong Lin , Jingfeng Wu , Sham M. Kakade , Peter L. Bartlett , Jason D. Lee

While scaling laws govern aggregate large language model performance, no scaling law has linked factual recall to both model size and training-data composition. We evaluated 38 models on over 8,900 scholarly references evaluated by an…

Computation and Language · Computer Science 2026-05-19 Matthew L. Smith , Jonathan P. Shock , Samuel T. Segun , Iyiola E. Olatunji , Tegawendé F. Bissyandé