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Neural scaling laws are driving the machine learning community toward training ever-larger foundation models across domains, assuring high accuracy and transferable representations for extrapolative tasks. We test this promise in quantum…

Chemical Physics · Physics 2025-10-01 Siwoo Lee , Adji Bousso Dieng

Recent advances in large language models (LLMs) have been largely driven by scaling laws for individual models, which predict performance improvements as model parameters and data volume increase. However, the capabilities of any single LLM…

Machine Learning · Computer Science 2026-01-29 Dakuan Lu , Jiaqi Zhang , Cheng Yuan , Jiawei Shao , Xuelong Li

We study universal traits which emerge both in real-world complex datasets, as well as in artificially generated ones. Our approach is to analogize data to a physical system and employ tools from statistical physics and Random Matrix Theory…

Machine Learning · Computer Science 2024-04-08 Noam Levi , Yaron Oz

For the vast majority of genes in sequenced genomes, there is limited understanding of how they are regulated. Without such knowledge, it is not possible to perform a quantitative theory-experiment dialogue on how such genes give rise to…

Genomics · Quantitative Biology 2024-06-07 Rosalind Wenshan Pan , Tom Roeschinger , Kian Faizi , Hernan Garcia , Rob Phillips

Scaling laws describe how language models improve with additional data, parameters, and compute. While widely used, they are typically measured on aggregate test sets. Aggregate evaluations yield clean trends but average over heterogeneous…

Computation and Language · Computer Science 2026-01-16 William Held , David Hall , Percy Liang , Diyi Yang

In this paper, we investigate the underlying factors that potentially enhance the mathematical reasoning capabilities of large language models (LLMs). We argue that the data scaling law for math reasoning capabilities in modern LLMs is far…

Artificial Intelligence · Computer Science 2024-07-18 Liang Zeng , Liangjun Zhong , Liang Zhao , Tianwen Wei , Liu Yang , Jujie He , Cheng Cheng , Rui Hu , Yang Liu , Shuicheng Yan , Han Fang , Yahui Zhou

Scaling laws are typically fit using a family of models with a narrow range of frozen hyperparameter choices. In this work we study scaling laws using multiple architectural shapes and hyperparameter choices, highlighting their impact on…

Single-cell RNA-seq datasets are growing in size and complexity, enabling the study of cellular composition changes in various biological/clinical contexts. Scalable dimensionality reduction techniques are in need to disentangle biological…

Neural scaling laws have become foundational for optimizing large language model (LLM) training, yet they typically assume a single dense model output. This limitation effectively overlooks "Familial models, a transformative paradigm…

Machine Learning · Computer Science 2026-01-26 Huan Song , Qingfei Zhao , Ting Long , Shuyu Tian , Hongjun An , Jiawei Shao , Xuelong Li

In this paper we study an important global regulation mechanism of transcription of biological cells using specific macro-molecules, 6S RNAs. The functional property of 6S RNAs is of blocking the transcription of RNAs when the environment…

Probability · Mathematics 2022-08-22 Vincent Fromion , Philippe Robert , Jana Zaherddine

Motivated by the size of cell line drug sensitivity data, researchers have been developing machine learning (ML) models for predicting drug response to advance cancer treatment. As drug sensitivity studies continue generating data, a common…

Neural scaling laws approximate a language model's loss as a power-law function of parameter count $N$ and token count $D$. Following Chinchilla-style compute-optimal training, many studies fit scaling laws from runs performed under a fixed…

Machine Learning · Computer Science 2026-05-14 Joshua Shay Kricheli , Alexander Lawrence Reid , Soumajyoti Sarkar , Venkata Gandikota , Paulo Shakarian

Large language models (LLMs) increasingly follow neural scaling laws that tie performance gains to rapidly expanding computational budgets, raising concerns about the sustainability of frontier-scale training. Existing carbon-estimation…

Computation and Language · Computer Science 2026-05-19 Lei Jiang , Fan Chen

The transformers have achieved significant accomplishments in the natural language processing as its outstanding parallel processing capabilities and highly flexible attention mechanism. In addition, increasing studies based on transformers…

Computation and Language · Computer Science 2024-07-19 Wei Lan , Guohang He , Mingyang Liu , Qingfeng Chen , Junyue Cao , Wei Peng

Scaling laws play a central role in the success of Large Language Models (LLMs), enabling the prediction of model performance relative to compute budgets prior to training. While Transformers have been the dominant architecture, recent…

Machine Learning · Computer Science 2026-02-23 Maximilian Beck , Kajetan Schweighofer , Sebastian Böck , Sebastian Lehner , Sepp Hochreiter

In recent years, language models have drastically grown in size, and the abilities of these models have been shown to improve with scale. The majority of recent scaling laws studies focused on high-compute high-parameter count settings,…

Computation and Language · Computer Science 2023-06-01 Vijeta Deshpande , Dan Pechi , Shree Thatte , Vladislav Lialin , Anna Rumshisky

Scaling laws describing the dependence of neural network performance on the amount of training data, the spent compute, and the network size have emerged across a huge variety of machine learning task and datasets. In this work, we…

High Energy Physics - Phenomenology · Physics 2026-01-21 Henning Bahl , Victor Bresó-Pla , Anja Butter , Joaquín Iturriza Ramirez

Large language models (LLMs) demand substantial computational and memory resources, creating deployment challenges. Quantization-aware training (QAT) addresses these challenges by reducing model precision while maintaining performance.…

Machine Learning · Computer Science 2025-05-21 Mengzhao Chen , Chaoyi Zhang , Jing Liu , Yutao Zeng , Zeyue Xue , Zhiheng Liu , Yunshui Li , Jin Ma , Jie Huang , Xun Zhou , Ping Luo

We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider…

Soft Condensed Matter · Physics 2021-04-07 Yulian Honchar , Christian von Ferber , Yurij Holovatch

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