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We explore optimally training protein language models, an area of significant interest in biological research where guidance on best practices is limited. Most models are trained with extensive compute resources until performance gains…

Machine Learning · Computer Science 2024-11-05 Xingyi Cheng , Bo Chen , Pan Li , Jing Gong , Jie Tang , Le Song

Generalization abilities of well-trained large language models (LLMs) are known to scale predictably as a function of model size. In contrast to the existence of practical scaling laws governing pre-training, the quality of LLMs after…

Machine Learning · Computer Science 2024-12-09 Zifei Xu , Alexander Lan , Wanzin Yazar , Tristan Webb , Sayeh Sharify , Xin Wang

Deep learning has recently revealed the existence of scaling laws, demonstrating that model performance follows predictable trends based on dataset and model sizes. Inspired by these findings and fascinating phenomena emerging in the…

Machine Learning · Statistics 2026-02-10 Mattia Rosso , Simone Rossi , Giulio Franzese , Markus Heinonen , Maurizio Filippone

Large language models (LLMs) are increasingly explored for their reasoning capabilities, yet their ability to perform structured, constraint-based optimization from natural language remains insufficiently understood. This study evaluates…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Aasish Kumar Sharma , Julian Kunkel

Test-time scaling has enabled Large Language Models (LLMs) with remarkable reasoning capabilities, particularly in mathematical domains, through intermediate chain-of-thought (CoT) reasoning before generating final answers. However, the…

Machine Learning · Computer Science 2025-10-21 Binxin Gao , Jingjun Han

Scale is often attributed as one of the factors that cause an increase in the performance of LLMs, resulting in models with billion and trillion parameters. One of the limitations of such large models is the high computational requirements…

Machine Learning · Computer Science 2024-05-09 Sher Badshah , Hassan Sajjad

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

Recently, Large Language Models (LLMs) have achieved remarkable success. A key factor behind this success is the scaling law observed by OpenAI. Specifically, for models with Transformer architecture, the test loss exhibits a power-law…

Machine Learning · Computer Science 2025-03-04 Yifang Chen , Xuyang Guo , Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song

Guided by the belief of the scaling law, large language models (LLMs) have achieved impressive performance in recent years. However, scaling law only gives a qualitative estimation of loss, which is influenced by various factors such as…

Computation and Language · Computer Science 2024-09-16 Chuhan Wu , Ruiming Tang

Scaling laws for large language models (LLMs) predict model performance based on parameters like size and training data. However, differences in training configurations and data processing across model families lead to significant…

Machine Learning · Computer Science 2025-12-03 Felipe Maia Polo , Seamus Somerstep , Leshem Choshen , Yuekai Sun , Mikhail Yurochkin

Despite recent progress in optimal hyperparameter transfer under model and dataset scaling, no unifying explanatory principle has been established. For Adam and Scion optimizers, we discover that joint optimal scaling across model and…

Machine Learning · Computer Science 2026-01-28 Oleg Filatov , Jiangtao Wang , Jan Ebert , Stefan Kesselheim

Recently a number of empirical "universal" scaling law papers have been published, most notably by OpenAI. `Scaling laws' refers to power-law decreases of training or test error w.r.t. more data, larger neural networks, and/or more compute.…

Machine Learning · Computer Science 2021-02-15 Marcus Hutter

Large Language Models (LLMs) exhibit a puzzling disparity in their formal linguistic competence: while they learn some linguistic phenomena with near-perfect mastery, they often perform below chance on others, even after training on…

Computation and Language · Computer Science 2026-04-21 H S V N S Kowndinya Renduchintala , Sumit Bhatia

Large Language Models (LLMs) are distinguished by their architecture, which dictates their parameter size and performance capabilities. Social scientists have increasingly adopted LLMs for text classification tasks, which are difficult to…

Computation and Language · Computer Science 2024-11-05 Marcello Carammia , Stefano Maria Iacus , Giuseppe Porro

Offline reinforcement learning (RL) enables learning effective policies from fixed datasets without any environment interaction. Existing methods typically employ policy constraints to mitigate the distribution shift encountered during…

Machine Learning · Computer Science 2026-04-30 Tan Jing , Xiaorui Li , Chao Yao , Xiaojuan Ban , Yuetong Fang , Renjing Xu , Zhaolin Yuan

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

While scaling laws govern aggregate large language model performance, no scaling law has linked factual recall to both model size and training-data composition. We evaluated 38 models on over 8,900 scholarly references evaluated by an…

Computation and Language · Computer Science 2026-05-19 Matthew L. Smith , Jonathan P. Shock , Samuel T. Segun , Iyiola E. Olatunji , Tegawendé F. Bissyandé

Despite the fact that experimental neural scaling laws have substantially guided empirical progress in large-scale machine learning, no existing theory can quantitatively predict the exponents of these important laws for any modern LLM…

Machine Learning · Computer Science 2026-02-13 Francesco Cagnetta , Allan Raventós , Surya Ganguli , Matthieu Wyart

Scaling laws have played a major role in the modern AI revolution, providing practitioners predictive power over how the model performance will improve with increasing data, compute, and number of model parameters. This has spurred an…

Machine Learning · Computer Science 2026-01-16 Maissam Barkeshli , Alberto Alfarano , Andrey Gromov

Scaling laws for language models have often focused on finding the optimal model size and token count for training from scratch. However, achieving this optimal balance requires significant compute resources due to the extensive data…

Computation and Language · Computer Science 2025-04-01 Roseval Malaquias Junior , Ramon Pires , Thales Sales Almeida , Kenzo Sakiyama , Roseli A. F. Romero , Rodrigo Nogueira