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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…

机器学习 · 计算机科学 2024-11-22 Tim Pearce , Jinyeop Song

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…

人工智能 · 计算机科学 2024-05-16 Tamay Besiroglu , Ege Erdil , Matthew Barnett , Josh You

Scaling the number of parameters and the size of training data has proven to be an effective strategy for improving large language model (LLM) performance. Yet, as these models grow increasingly powerful and widely deployed, the cost of…

机器学习 · 计算机科学 2026-05-14 Song Bian , Tao Yu , Shivaram Venkataraman , Youngsuk Park

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…

Training compute is increasingly outpacing the availability of high-quality data. This shifts the central challenge from optimal compute allocation to extracting maximum value from limited data. The widely adopted Chinchilla scaling law…

机器学习 · 计算机科学 2026-05-05 Justin Lovelace , Christian Belardi , Srivatsa Kundurthy , Shriya Sudhakar , Kilian Q. Weinberger

Large language model (LLM) scaling laws are empirical formulas that estimate changes in model quality as a result of increasing parameter count and training data. However, these formulas, including the popular Deepmind Chinchilla scaling…

机器学习 · 计算机科学 2025-04-15 Nikhil Sardana , Jacob Portes , Sasha Doubov , Jonathan Frankle

The scaling laws guiding modern model training were calibrated for a single regime: data-rich, single-epoch pretraining. The dominant such scaling law form, Chinchilla's $L = E + A/N^\alpha + B/D^\beta$, has three structural limitations…

机器学习 · 计算机科学 2026-05-12 Christopher M. Bryant , Hao Liu

The quality of Large Language Model (LLM) pretraining depends on multiple factors, including the compute budget and the choice of optimization algorithm. Empirical scaling laws are widely used to predict loss as model size and training data…

机器学习 · 计算机科学 2026-02-25 Alexandra Volkova , Mher Safaryan , Christoph H. Lampert , Dan Alistarh

Data rebalancing techniques, including oversampling and undersampling, are a common approach to addressing the challenges of imbalanced data. To tackle unresolved problems related to both oversampling and undersampling, we propose a new…

机器学习 · 计算机科学 2025-07-11 Karen Medlin , Sven Leyffer , Krishnan Raghavan

Hoffman et al (2022)'s Chinchilla paper introduced the principle of compute-optimal scaling, laying a foundation for future scaling of language models. In the years since, however, valid concerns about Chinchilla have been raised: wide…

机器学习 · 计算机科学 2025-09-30 Rylan Schaeffer , Noam Levi , Andreas Kirsch , Theo Guenais , Brando Miranda , Elyas Obbad , Sanmi Koyejo

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…

Modern foundation models rely heavily on using scaling laws to guide crucial training decisions. Researchers often extrapolate the optimal architecture and hyper parameters settings from smaller training runs by describing the relationship…

机器学习 · 计算机科学 2025-02-27 Margaret Li , Sneha Kudugunta , Luke Zettlemoyer

Scaling laws are powerful tools to predict the performance of large language models. However, current scaling laws fall short of accounting for inference costs. In this work, we first show that model architecture affects inference latency,…

机器学习 · 计算机科学 2025-06-10 Song Bian , Minghao Yan , Shivaram Venkataraman

A primary cost driver for training large models is wall-clock training time. We show that popular time estimates based on FLOPs are poor estimates, and construct a more accurate proxy based on memory copies. This allows us to accurately…

机器学习 · 计算机科学 2024-10-25 Itay Inbar , Luke Sernau

Integer linear programs (ILPs) are commonly employed to model diverse practical problems such as scheduling and planning. Recently, machine learning techniques have been utilized to solve ILPs. A straightforward idea is to train a model via…

最优化与控制 · 数学 2025-01-08 Qian Chen , Tianjian Zhang , Linxin Yang , Qingyu Han , Akang Wang , Ruoyu Sun , Xiaodong Luo , Tsung-Hui Chang

Kaplan et al. and Hoffmann et al. developed influential scaling laws for the optimal model size as a function of the compute budget, but these laws yield substantially different predictions. We explain the discrepancy by reproducing the…

机器学习 · 计算机科学 2025-01-22 Tomer Porian , Mitchell Wortsman , Jenia Jitsev , Ludwig Schmidt , Yair Carmon

Scaling laws are used to plan multi-million-dollar training runs, but fitting those laws can itself cost millions. In modern large-scale workflows, assembling a sufficiently informative set of pilot experiments is already a major…

机器学习 · 计算机科学 2026-04-27 Sijie Li , Shanda Li , Haowei Lin , Weiwei Sun , Ameet Talwalkar , Yiming Yang

A wide range of decision problems can be formulated as bilevel programs with independent followers, which as a special case include two-stage stochastic programs. These problems are notoriously difficult to solve especially when a large…

最优化与控制 · 数学 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

Scaling laws are useful guides for derisking expensive training runs, as they predict performance of large models using cheaper, small-scale experiments. However, there remain gaps between current scaling studies and how language models are…

We study the compute-optimal trade-off between model and training data set sizes for large neural networks. Our result suggests a linear relation similar to that supported by the empirical analysis of chinchilla. While that work studies…

机器学习 · 计算机科学 2023-10-20 Hong Jun Jeon , Benjamin Van Roy
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