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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

Scaling up neural models has yielded significant advancements in a wide array of tasks, particularly in language generation. Previous studies have found that the performance of neural models frequently adheres to predictable scaling laws,…

Information Retrieval · Computer Science 2024-07-16 Yan Fang , Jingtao Zhan , Qingyao Ai , Jiaxin Mao , Weihang Su , Jia Chen , Yiqun Liu

Widely observed neural scaling laws, in which error falls off as a power of the training set size, model size, or both, have driven substantial performance improvements in deep learning. However, these improvements through scaling alone…

Machine Learning · Computer Science 2023-04-25 Ben Sorscher , Robert Geirhos , Shashank Shekhar , Surya Ganguli , Ari S. Morcos

Neural scaling laws govern the prediction power-law improvement of test loss with respect to model capacity ($N$), datasize ($D$), and compute ($C$). However, existing theoretical explanations often rely on specific architectures or complex…

Machine Learning · Computer Science 2026-02-04 Jiaxuan Zou , Zixuan Gong , Ye Su , Huayi Tang , Yong Liu

We analyze neural scaling laws in a solvable model of last-layer fine-tuning where targets have intrinsic, instance-heterogeneous difficulty. In our Latent Instance Difficulty (LID) model, each input's target variance is governed by a…

Machine Learning · Computer Science 2026-01-08 Noam Levi

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

There is a recent trend in machine learning to increase model quality by growing models to sizes previously thought to be unreasonable. Recent work has shown that autoregressive generative models with cross-entropy objective functions…

Audio and Speech Processing · Electrical Eng. & Systems 2021-06-18 Jasha Droppo , Oguz Elibol

From benign overfitting in overparameterized models to rich power-law scalings in performance, simple ridge regression displays surprising behaviors sometimes thought to be limited to deep neural networks. This balance of phenomenological…

Machine Learning · Statistics 2026-05-08 Alexander Atanasov , Jacob A. Zavatone-Veth , Cengiz Pehlevan

Scaling laws for language model training traditionally characterize how performance scales with model size and dataset volume. Prior work has explored architecture variants and data treatments such as dataset filtering and noise injection…

Machine Learning · Computer Science 2026-02-24 Anirudh Subramanyam , Yuxin Chen , Robert L. Grossman

Representation learning that leverages large-scale labelled datasets, is central to recent progress in machine learning. Access to task relevant labels at scale is often scarce or expensive, motivating the need to learn from unlabelled…

Machine Learning · Computer Science 2022-02-14 Arna Ghosh , Arnab Kumar Mondal , Kumar Krishna Agrawal , Blake Richards

Neural scaling laws and double-descent phenomena suggest that deep-network training obeys a simple macroscopic structure despite highly nonlinear optimization dynamics. We derive such structure directly from gradient descent in function…

Machine Learning · Computer Science 2026-01-09 Yizhou Zhang

Recent works have highlighted optimization difficulties faced by gradient descent in training the first and last layers of transformer-based language models, which are overcome by optimizers such as Adam. These works suggest that the…

Machine Learning · Computer Science 2025-05-27 Frederik Kunstner , Francis Bach

We evaluate analytically and numerically the size of the frozen core and various scaling laws for critical Boolean networks that have a power-law in- and/or out-degree distribution. To this purpose, we generalize an efficient method that…

Molecular Networks · Quantitative Biology 2015-06-12 Marco Möller , Barbara Drossel

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…

Neural scaling laws have driven significant advancements in machine learning, particularly in domains like language modeling and computer vision. However, the exploration of neural scaling laws within robotics has remained relatively…

Robotics · Computer Science 2025-01-28 Sebastian Sartor , Neil Thompson

Traditional scaling laws in natural language processing suggest that increasing model size and training data enhances performance. However, recent studies reveal deviations, particularly in large language models, where performance…

Machine Learning · Computer Science 2025-07-16 Zhengyu Chen , Siqi Wang , Teng Xiao , Yudong Wang , Shiqi Chen , Xunliang Cai , Junxian He , Jingang Wang

Recent works have shown that machine learning models improve at a predictable rate with the total amount of training data, leading to scaling laws that describe the relationship between error and dataset size. These scaling laws can help…

Machine Learning · Computer Science 2024-06-03 Ian Covert , Wenlong Ji , Tatsunori Hashimoto , James Zou

The success of machine learning has resulted from its structured representation of data. Similar data have close internal representations as compressed codes for classification or emerged labels for clustering. We observe that the frequency…

Machine Learning · Computer Science 2022-04-13 Sungyeop Lee , Junghyo Jo

For a given distribution, learning algorithm, and performance metric, the rate of convergence (or data-scaling law) is the asymptotic behavior of the algorithm's test performance as a function of number of train samples. Many learning…

Machine Learning · Computer Science 2021-11-10 Preetum Nakkiran

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