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Research on scaling large language models (LLMs) has primarily focused on model parameters and training data size, overlooking the role of vocabulary size. We investigate how vocabulary size impacts LLM scaling laws by training models…

Computation and Language · Computer Science 2024-11-04 Chaofan Tao , Qian Liu , Longxu Dou , Niklas Muennighoff , Zhongwei Wan , Ping Luo , Min Lin , Ngai Wong

Kaplan et al. [2020] (`Kaplan') and Hoffmann et al. [2022] (`Chinchilla') studied the scaling behavior of transformers trained on next-token language prediction. These studies produced different estimates for how the number of parameters…

Machine Learning · Computer Science 2024-11-22 Tim Pearce , Jinyeop Song

Scaling laws are well studied for language models and first-stage retrieval, but not for reranking. We present the first systematic study of scaling laws for cross-encoder rerankers across pointwise, pairwise, and listwise objectives.…

Information Retrieval · Computer Science 2026-04-21 Rahul Seetharaman , Aman Bansal , Hamed Zamani , Kaustubh Dhole

Large language models (LLMs) achieve strong performance across diverse tasks, largely driven by high-quality web data used in pre-training. However, recent studies indicate this data source is rapidly depleting. Synthetic data emerges as a…

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

The performance of embodied agents has been shown to improve by increasing model parameters, dataset size, and compute. This has been demonstrated in domains from robotics to video games, when generative learning objectives on offline…

Machine Learning · Computer Science 2024-12-19 Tim Pearce , Tabish Rashid , Dave Bignell , Raluca Georgescu , Sam Devlin , Katja Hofmann

Large language models (LLMs) are routinely pre-trained on billions of tokens, only to start the process over again once new data becomes available. A much more efficient solution is to continually pre-train these models, saving significant…

Language models achieve impressive performance on a variety of knowledge, language, and reasoning tasks due to the scale and diversity of pretraining data available. The standard training recipe is a two-stage paradigm: pretraining first on…

Computation and Language · Computer Science 2026-03-20 Skyler Seto , Pierre Ablin , Anastasiia Filippova , Jiayuan Ye , Louis Bethune , Angelos Katharopoulos , David Grangier

Large Language Models have driven significant AI advancements, yet their training is resource-intensive and highly sensitive to hyper-parameter selection. While scaling laws provide valuable guidance on model size and data requirements,…

Machine Learning · Computer Science 2026-05-21 Xingyu Xie , Kuangyu Ding , Shuicheng Yan , Kim-Chuan Toh , Tianwen Wei

Pretraining large language models (LLMs) is resource-intensive, often requiring months of training time even with high-end GPU clusters. There are two approaches of mitigating such computational demands: reusing smaller models to train…

Machine Learning · Computer Science 2025-06-17 Seng Pei Liew , Takuya Kato , Sho Takase

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

For deploying foundation models, practitioners increasingly need prescriptive scaling laws: given a pre training compute budget, what downstream accuracy is attainable with contemporary post training practice, and how stable is that mapping…

Machine Learning · Computer Science 2026-02-18 Hanlin Zhang , Jikai Jin , Vasilis Syrgkanis , Sham Kakade

Neural scaling laws establish a predictable relationship between model performance and data or compute, offering crucial guidance for resource allocation in new domains and tasks. Yet such laws are most needed precisely where they are…

Machine Learning · Computer Science 2026-05-11 Xing Han , Ziyin Liu , Suchi Saria , Paul Pu Liang

The rapid advancement of Large Language Models (LLMs), particularly those trained on multilingual corpora, has intensified the need for a deeper understanding of their performance across a diverse range of languages and model sizes. Our…

Computation and Language · Computer Science 2025-01-13 Rhitabrat Pokharel , Sina Bagheri Nezhad , Ameeta Agrawal , Suresh Singh

Large language models have demonstrated predictable scaling behaviors with respect to model parameters and training data. This study investigates whether a similar scaling relationship exist for vision-language models with respect to the…

Artificial Intelligence · Computer Science 2025-12-30 Tenghui Li , Guoxu Zhou , Xuyang Zhao , Qibin Zhao

While scaling laws guide compute allocation for LLM pre-training, analogous prescriptions for reinforcement learning (RL) post-training of large language models (LLMs) remain poorly understood. We study the compute-optimal allocation of…

Within the scaling laws paradigm, which underpins the training of large neural networks like ChatGPT and Llama, we consider a supervised regression setting and establish the existance of a strong form of the model collapse phenomenon, a…

Machine Learning · Computer Science 2024-10-10 Elvis Dohmatob , Yunzhen Feng , Arjun Subramonian , Julia Kempe

Masked diffusion models (MDMs) have shown promise in language modeling, yet their scalability and effectiveness in core language tasks, such as text generation and language understanding, remain underexplored. This paper establishes the…

Artificial Intelligence · Computer Science 2025-03-03 Shen Nie , Fengqi Zhu , Chao Du , Tianyu Pang , Qian Liu , Guangtao Zeng , Min Lin , Chongxuan Li

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

Large language models (LLMs) show best-in-class performance across a wide range of natural language processing applications. Training these models is an extremely computationally expensive task; frontier Artificial Intelligence (AI)…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Alexander Interrante-Grant , Carla Varela-Rosa , Suhaas Narayan , Chris Connelly , Albert Reuther
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