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Neural scaling laws, which in some domains can predict the performance of large neural networks as a function of model, data, and compute scale, are the cornerstone of building foundation models in Natural Language Processing and Computer…

Machine Learning · Computer Science 2026-03-27 Shashank Subramanian , Alexander Kiefer , Arnur Nigmetov , Amir Gholami , Dmitriy Morozov , Michael W. Mahoney

In 2020, OpenAI proposed the first type of Scaling Laws, describing the relationships between model loss and the scale of parameters, data, and training computation. In 2024, OpenAI proposed the second type of Scaling Laws, describing the…

Artificial Intelligence · Computer Science 2025-02-11 Jun Wan

For many machine learning problems, data is abundant and it may be prohibitive to make multiple passes through the full training set. In this context, we investigate strategies for dynamically increasing the effective sample size, when…

Machine Learning · Computer Science 2016-10-10 Hadi Daneshmand , Aurelien Lucchi , Thomas Hofmann

The scaling laws guiding modern model training were calibrated for a single regime: data-rich, single-epoch pretraining. The dominant such scaling law form, Chinchilla's $L = E + A/N^\alpha + B/D^\beta$, has three structural limitations…

Machine Learning · Computer Science 2026-05-12 Christopher M. Bryant , Hao Liu

The ever-growing ecosystem of LLMs has posed a challenge in selecting the most appropriate pre-trained model to fine-tune amidst a sea of options. Given constrained resources, fine-tuning all models and making selections afterward is…

Machine Learning · Computer Science 2024-05-29 Haowei Lin , Baizhou Huang , Haotian Ye , Qinyu Chen , Zihao Wang , Sujian Li , Jianzhu Ma , Xiaojun Wan , James Zou , Yitao Liang

Scaling laws in language modeling traditionally quantify training loss as a function of dataset size and model parameters, providing compute-optimal estimates but often neglecting the impact of data quality on model generalization. In this…

Computation and Language · Computer Science 2024-10-07 Ernie Chang , Matteo Paltenghi , Yang Li , Pin-Jie Lin , Changsheng Zhao , Patrick Huber , Zechun Liu , Rastislav Rabatin , Yangyang Shi , Vikas Chandra

Recently observed empirical scaling laws describe the performance of foundation-type models as three independent key quantities -- dataset size, compute, and model parameters -- are modified. Extracting these scaling laws informs the…

High Energy Physics - Phenomenology · Physics 2026-05-29 Oz Amram , Darius A. Faroughy , Tjarko Gerdes , Anna Hallin , Gregor Kasieczka , Michael Krämer , Humberto Reyes-Gonzalez , David Shih

Scaling laws arise and are eulogized across disciplines from natural to social sciences for providing pithy, quantitative, `scale-free', and `universal' power law relationships between two variables. On a log-log plot, the power laws…

Soft Condensed Matter · Physics 2025-07-04 Marc-Antoine Fardin , Mathieu Hautefeuille , Vivek Sharma

Low precision training and inference affect both the quality and cost of language models, but current scaling laws do not account for this. In this work, we devise "precision-aware" scaling laws for both training and inference. We propose…

Time series forecasting is one of the most active research topics. Machine learning methods have been increasingly adopted to solve these predictive tasks. However, in a recent work, these were shown to systematically present a lower…

Machine Learning · Statistics 2019-10-01 Vitor Cerqueira , Luis Torgo , Carlos Soares

Nowadays there is an increasing interest of physicists in finding regularities related to social phenomena. This interest is clearly motivated by applications that a statistical mechanical description of the human behavior may have in our…

Physics and Society · Physics 2011-10-28 M. C. Mantovani , H. V. Ribeiro , M. V. Moro , S. Picoli , R. S. Mendes

The performance of a language model has been shown to be effectively modeled as a power-law in its parameter count. Here we study the scaling behaviors of Routing Networks: architectures that conditionally use only a subset of their…

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

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

We present a smoothly broken power law functional form (that we refer to as a Broken Neural Scaling Law (BNSL)) that accurately models & extrapolates the scaling behaviors of deep neural networks (i.e. how the evaluation metric of interest…

Machine Learning · Computer Science 2023-07-25 Ethan Caballero , Kshitij Gupta , Irina Rish , David Krueger

We propose an approach to estimate the number of samples required for a model to reach a target performance. We find that the power law, the de facto principle to estimate model performance, leads to large error when using a small dataset…

Diffusion transformers (DiT) have already achieved appealing synthesis and scaling properties in content recreation, e.g., image and video generation. However, scaling laws of DiT are less explored, which usually offer precise predictions…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Zhengyang Liang , Hao He , Ceyuan Yang , Bo Dai

A generic communication model of a boolean network with transmission errors is proposed to explore the power-law scaling of states' evolution in small-world networks. In the model, the power spectrum of the population difference between…

Condensed Matter · Physics 2007-05-23 Jiann-Shing Lih , Jyh-Long Chern

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

Condensed Matter · Physics 2009-11-07 P Ormerod , C Mounfield

Hyperparameter optimization is an important subfield of machine learning that focuses on tuning the hyperparameters of a chosen algorithm to achieve peak performance. Recently, there has been a stream of methods that tackle the issue of…

Machine Learning · Computer Science 2023-10-26 Arlind Kadra , Maciej Janowski , Martin Wistuba , Josif Grabocka