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The impressive capabilities of Large Language Models (LLMs) across diverse tasks are now well established, yet their effective deployment necessitates careful hyperparameter optimization. Although existing methods have explored the…

The success of Large Language Models (LLMs) has established that scaling compute, through joint increases in model capacity and dataset size, is the primary driver of performance in modern machine learning. While machine learning has long…

High Energy Physics - Experiment · Physics 2026-02-18 Matthias Vigl , Nicole Hartman , Michael Kagan , Lukas Heinrich

We explore the impact of parameter sparsity on the scaling behavior of Transformers trained on massive datasets (i.e., "foundation models"), in both vision and language domains. In this setting, we identify the first scaling law describing…

Machine Learning · Computer Science 2023-09-18 Elias Frantar , Carlos Riquelme , Neil Houlsby , Dan Alistarh , Utku Evci

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

Due to the scarcity of high-quality data, large language models (LLMs) are often trained on mixtures of data with varying quality levels, even after sophisticated data curation. A natural approach to better leverage high-quality data is…

Machine Learning · Computer Science 2026-05-15 Kairong Luo , Zhenbo Sun , Haodong Wen , Xinyu Shi , Jiarui Cui , Chenyi Dang , Kaifeng Lyu , Wenguang Chen

Scaling LLMs requires tremendous computational resources, and recent advances in AI have gone hand in hand with massive amounts of capital expenditure. While it is established that scaling up LLMs reliably increases model quality…

Machine Learning · Computer Science 2026-05-19 Sophie Hao , William Merrill

Scaling laws have transformed our understanding of large language models by linking upstream metrics like cross-entropy loss to design factors such as model size, training data, and compute. However, these conventional laws fail to capture…

Computation and Language · Computer Science 2025-10-17 Kyle Montgomery , David Park , Jianhong Tu , Michael Bendersky , Beliz Gunel , Dawn Song , Chenguang Wang

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

Training Large Language Models (LLMs) is prohibitively expensive, creating a critical scaling gap where insights from small-scale experiments often fail to transfer to resource-intensive production systems, thereby hindering efficient…

In machine learning, the scaling law describes how the model performance improves with the model and data size scaling up. From a learning theory perspective, this class of results establishes upper and lower generalization bounds for a…

Machine Learning · Computer Science 2025-02-14 Shihong Ding , Haihan Zhang , Hanzhen Zhao , Cong Fang

We investigate the optimal model size and number of tokens for training a transformer language model under a given compute budget. We find that current large language models are significantly undertrained, a consequence of the recent focus…

Large language models have demonstrated remarkable capabilities across various tasks, primarily attributed to the utilization of diversely sourced data. However, the impact of pretraining data composition on model performance remains poorly…

Machine Learning · Computer Science 2025-01-28 Ce Ge , Zhijian Ma , Daoyuan Chen , Yaliang Li , Bolin Ding

Code large language models (Code LLMs) are powerful but costly to train, with scaling laws predicting performance from model size, data, and compute. However, different programming languages (PLs) have varying impacts during pre-training…

Computation and Language · Computer Science 2025-12-16 Jian Yang , Shawn Guo , Lin Jing , Wei Zhang , Aishan Liu , Chuan Hao , Zhoujun Li , Wayne Xin Zhao , Xianglong Liu , Weifeng Lv , Bryan Dai

Hoffmann et al. (2022) propose three methods for estimating a compute-optimal scaling law. We attempt to replicate their third estimation procedure, which involves fitting a parametric loss function to a reconstruction of data from their…

Artificial Intelligence · Computer Science 2024-05-16 Tamay Besiroglu , Ege Erdil , Matthew Barnett , Josh You

Large Language Models (LLMs) represent a promising frontier for recommender systems, yet their development has been impeded by the absence of predictable scaling laws, which are crucial for guiding research and optimizing resource…

Information Retrieval · Computer Science 2026-02-16 Benyu Zhang , Qiang Zhang , Jianpeng Cheng , Hong-You Chen , Qifei Wang , Wei Sun , Shen Li , Jia Li , Jiahao Wu , Xiangjun Fan , Hong Yan

Scaling laws provide important insights that can guide the design of large language models (LLMs). Existing work has primarily focused on studying scaling laws for pretraining (upstream) loss. However, in transfer learning settings, in…

Computation and Language · Computer Science 2026-01-30 Berivan Isik , Natalia Ponomareva , Hussein Hazimeh , Dimitris Paparas , Sergei Vassilvitskii , Sanmi Koyejo

The scaling law is becoming a fundamental law in many machine learning areas. That is, test error falls off with the power law when increasing training data, model size, and computing resource. However, whether this law is suitable for the…

Software Engineering · Computer Science 2024-02-21 Jiayi Lin , Hande Dong , Yutao Xie , Lei Zhang

Overfitting is a phenomenon that occurs when a machine learning model is trained for too long and focused too much on the exact fitness of the training samples to the provided training labels and cannot keep track of the predictive rules…

Machine Learning · Computer Science 2025-09-22 Nuri Korhan , Samet Bayram

Training large models is both resource-intensive and time-consuming, making it crucial to understand the quantitative relationship between model performance and hyperparameters. In this paper, we present an empirical law that describes how…

Machine Learning · Computer Science 2025-03-18 Kairong Luo , Haodong Wen , Shengding Hu , Zhenbo Sun , Zhiyuan Liu , Maosong Sun , Kaifeng Lyu , Wenguang Chen

Alternatives to backpropagation have long been studied to better understand how biological brains may learn. Recently, they have also garnered interest as a way to train neural networks more efficiently. By relaxing constraints inherent to…

Machine Learning · Computer Science 2022-10-27 Matthew J. Filipovich , Alessandro Cappelli , Daniel Hesslow , Julien Launay
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