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As AI model size grows, neural scaling laws have become a crucial tool to predict the improvements of large models when increasing capacity and the size of original (human or natural) training data. Yet, the widespread use of popular models…

Machine Learning · Computer Science 2024-06-03 Elvis Dohmatob , Yunzhen Feng , Pu Yang , Francois Charton , Julia Kempe

The remarkable success of large language pretraining and the discovery of scaling laws signify a paradigm shift in machine learning. Notably, the primary objective has evolved from minimizing generalization error to reducing approximation…

Machine Learning · Computer Science 2025-02-17 Lechao Xiao

Data scaling has revolutionized research fields like natural language processing, computer vision, and robotics control, providing foundation models with remarkable multi-task and generalization capabilities. In this paper, we investigate…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Shaohuai Liu , Lin Dong , Chao Tian , Le Xie

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

The success of autoregressive models largely depends on the effectiveness of vector quantization, a technique that discretizes continuous features by mapping them to the nearest code vectors within a learnable codebook. Two critical issues…

Computer Vision and Pattern Recognition · Computer Science 2025-06-19 Xianghong Fang , Litao Guo , Hengchao Chen , Yuxuan Zhang , XiaofanXia , Dingjie Song , Yexin Liu , Hao Wang , Harry Yang , Yuan Yuan , Qiang Sun

Recent large language models have been trained on vast datasets, but also often on repeated data, either intentionally for the purpose of upweighting higher quality data, or unintentionally because data deduplication is not perfect and the…

Deep neural networks trained end-to-end to map a measurement of a (noisy) image to a clean image perform excellent for a variety of linear inverse problems. Current methods are only trained on a few hundreds or thousands of images as…

Image and Video Processing · Electrical Eng. & Systems 2023-02-24 Tobit Klug , Reinhard Heckel

Neural scaling laws underlie many of the recent advances in deep learning, yet their theoretical understanding remains largely confined to linear models. In this work, we present a systematic analysis of scaling laws for quadratic and…

This study employs molecular dynamics simulations to investigate droplet dynamics when a stationary droplet on a solid surface is struck by another droplet of similar size from above. The focus is on the jumping behavior of the merged…

Fluid Dynamics · Physics 2026-03-25 Ertiza Hossain Shopnil , Jahid Emon , Md Nadeem Azad , AKM Monjur Morshed

Quantum hardware suffers from intrinsic device heterogeneity and environmental drift, forcing practitioners to choose between suboptimal non-adaptive controllers or costly per-device recalibration. We derive a scaling law lower bound for…

Machine Learning · Computer Science 2026-05-21 Nima Leclerc , Chris Miller , Nicholas Brawand

Data scaling has revolutionized fields like natural language processing and computer vision, providing models with remarkable generalization capabilities. In this paper, we investigate whether similar data scaling laws exist in robotics,…

Robotics · Computer Science 2025-10-14 Yingdong Hu , Fanqi Lin , Pingyue Sheng , Chuan Wen , Jiacheng You , Yang Gao

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

Scale has been a major driving force in improving machine learning performance, and understanding scaling laws is essential for strategic planning for a sustainable model quality performance growth, long-term resource planning and…

Information Retrieval · Computer Science 2022-08-19 Newsha Ardalani , Carole-Jean Wu , Zeliang Chen , Bhargav Bhushanam , Adnan Aziz

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

Molecular Representation Learning (MRL) has emerged as a powerful tool for drug and materials discovery in a variety of tasks such as virtual screening and inverse design. While there has been a surge of interest in advancing model-centric…

Chemical Physics · Physics 2023-09-29 Dingshuo Chen , Yanqiao Zhu , Jieyu Zhang , Yuanqi Du , Zhixun Li , Qiang Liu , Shu Wu , Liang Wang

We reveal that low-bit quantization favors undertrained large language models (LLMs) by observing that models with larger sizes or fewer training tokens experience less quantization-induced degradation (QiD) when applying low-bit…

Machine Learning · Computer Science 2024-11-28 Xu Ouyang , Tao Ge , Thomas Hartvigsen , Zhisong Zhang , Haitao Mi , Dong Yu

Neural scaling laws provide a predictable recipe for AI advancement: reducing numerical precision should linearly improve computational efficiency and energy profile ($E \propto \mathrm{bits}$). In this paper, we demonstrate that this…

Artificial Intelligence · Computer Science 2026-05-04 Henry Han , Xiyang Liu , Xiaodong Wang , Fei Han , Xiaodong Li

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

In the field of modern high-energy physics research, there is a growing emphasis on utilizing deep learning techniques to optimize event simulation, thereby expanding the statistical sample size for more accurate physical analysis.…

Computational Physics · Physics 2025-06-16 Chu-Cheng Pan , Xiang Dong , Yu-Chang Sun , Ao-Yan Cheng , Ao-Bo Wang , Yu-Xuan Hu , Hao Cai

We leverage dimensional analysis and genetic programming (a type of machine learning) to discover two strikingly simple but universal scaling laws, which remain accurate for different materials, processing conditions, and machines in metal…

Applied Physics · Physics 2020-05-28 Zhengtao Gan , Orion L. Kafka , Niranjan Parab , Cang Zhao , Olle Heinonen , Tao Sun , Wing Liu
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