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Pretraining data of large language models composes multiple domains (e.g., web texts, academic papers, codes), whose mixture proportions crucially impact the competence of outcome models. While existing endeavors rely on heuristics or…

Computation and Language · Computer Science 2025-03-21 Jiasheng Ye , Peiju Liu , Tianxiang Sun , Jun Zhan , Yunhua Zhou , Xipeng Qiu

The scientific scale-up of large language models (LLMs) necessitates a comprehensive understanding of their scaling properties. However, the existing literature on the scaling properties only yields an incomplete answer: optimization loss…

Computation and Language · Computer Science 2024-04-18 Shengding Hu , Xin Liu , Xu Han , Xinrong Zhang , Chaoqun He , Weilin Zhao , Yankai Lin , Ning Ding , Zebin Ou , Guoyang Zeng , Zhiyuan Liu , Maosong Sun

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

Within the scaling laws paradigm, which underpins the training of large neural networks like ChatGPT and Llama, we consider a supervised regression setting and establish the existance of a strong form of the model collapse phenomenon, a…

Machine Learning · Computer Science 2024-10-10 Elvis Dohmatob , Yunzhen Feng , Arjun Subramonian , Julia Kempe

Scaling the number of parameters and the size of training data has proven to be an effective strategy for improving large language model (LLM) performance. Yet, as these models grow increasingly powerful and widely deployed, the cost of…

Machine Learning · Computer Science 2026-05-14 Song Bian , Tao Yu , Shivaram Venkataraman , Youngsuk Park

Transformer based large-language models (LLMs) display extreme proficiency with language yet a precise understanding of how they work remains elusive. One way of demystifying transformer predictions would be to describe how they depend on…

Computation and Language · Computer Science 2024-11-06 Timothy Nguyen

Large language models (LLMs) can internally distinguish between evaluation and deployment contexts, a behaviour known as \emph{evaluation awareness}. This undermines AI safety evaluations, as models may conceal dangerous capabilities during…

Artificial Intelligence · Computer Science 2025-11-11 Maheep Chaudhary , Ian Su , Nikhil Hooda , Nishith Shankar , Julia Tan , Kevin Zhu , Ryan Lagasse , Vasu Sharma , Ashwinee Panda

Many machine learning models based on neural networks exhibit scaling laws: their performance scales as power laws with respect to the sizes of the model and training data set. We use large-N field theory methods to solve a model recently…

High Energy Physics - Theory · Physics 2024-05-31 Zhengkang Zhang

Uncovering early-stage metrics that reflect final model performance is one core principle for large-scale pretraining. The existing scaling law demonstrates the power-law correlation between pretraining loss and training flops, which serves…

Learning curves are a measure for how the performance of machine learning models improves given a certain volume of training data. Over a wide variety of applications and models it was observed that learning curves follow -- to a large…

Machine Learning · Computer Science 2023-10-13 Laura Didyk , Brayden Yarish , Michael A. Beck , Christopher P. Bidinosti , Christopher J. Henry

Large language models have demonstrated predictable scaling behaviors with respect to model parameters and training data. This study investigates whether a similar scaling relationship exist for vision-language models with respect to the…

Artificial Intelligence · Computer Science 2025-12-30 Tenghui Li , Guoxu Zhou , Xuyang Zhao , Qibin Zhao

Large genomic and imaging datasets can be used to train models that learn meaningful representations of cellular systems. Across domains, model performance improves predictably with dataset size and compute budget, providing a basis for…

Quantitative Methods · Quantitative Biology 2026-02-23 Gokul Gowri , Igor Sadalski , Dan Raviv , Peng Yin , Jonathan Rosenfeld , Allon M. Klein

When using Large Language Models (LLMs) to support Knowledge Graph Engineering (KGE), one of the first indications when searching for an appropriate model is its size. According to the scaling laws, larger models typically show higher…

Artificial Intelligence · Computer Science 2025-05-23 Desiree Heim , Lars-Peter Meyer , Markus Schröder , Johannes Frey , Andreas Dengel

In recent years, pretraining models have made significant advancements in the fields of natural language processing (NLP), computer vision (CV), and life sciences. The significant advancements in NLP and CV are predominantly driven by the…

Machine Learning · Computer Science 2024-07-02 Xiaohong Ji , Zhen Wang , Zhifeng Gao , Hang Zheng , Linfeng Zhang , Guolin Ke , Weinan E

Dynamical theories of speech use computational models of articulatory control to generate quantitative predictions and advance understanding of speech dynamics. The addition of a nonlinear restoring force to task dynamic models is a…

Computation and Language · Computer Science 2025-02-04 Sam Kirkham

Scaling laws are well studied for language models and first-stage retrieval, but not for reranking. We present the first systematic study of scaling laws for cross-encoder rerankers across pointwise, pairwise, and listwise objectives.…

Information Retrieval · Computer Science 2026-04-21 Rahul Seetharaman , Aman Bansal , Hamed Zamani , Kaustubh Dhole

Hyperparameter transfer has become an important component of modern large-scale training recipes. Existing methods, such as muP, primarily focus on transfer between model sizes, with transfer across batch sizes and training horizons often…

Machine Learning · Computer Science 2026-03-18 Egor Shulgin , Dimitri von Rütte , Tianyue H. Zhang , Niccolò Ajroldi , Bernhard Schölkopf , Antonio Orvieto

Despite the fact that experimental neural scaling laws have substantially guided empirical progress in large-scale machine learning, no existing theory can quantitatively predict the exponents of these important laws for any modern LLM…

Machine Learning · Computer Science 2026-02-13 Francesco Cagnetta , Allan Raventós , Surya Ganguli , Matthieu Wyart

Modeling user preferences has been mainly addressed by looking at users' interaction history with the different elements available in the system. Tailoring content to individual preferences based on historical data is the main goal of…

Machine Learning · Computer Science 2024-12-11 Pablo Zivic , Hernan Vazquez , Jorge Sanchez

The scaling law is a notable property of neural network models and has significantly propelled the development of large language models. Scaling laws hold great promise in guiding model design and resource allocation. Recent research…

Information Retrieval · Computer Science 2025-09-26 Yunli Wang , Zhen Zhang , Zixuan Yang , Tianyu Xu , Zhiqiang Wang , Yu Li , Rufan Zhou , Zhiqiang Liu , Yanjie Zhu , Jian Yang , Shiyang Wen , Peng Jiang