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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…

Machine Learning · Computer Science 2026-05-12 Christopher M. Bryant , Hao Liu

While scaling laws provide a reliable methodology for predicting train loss across compute scales for a single data distribution, less is known about how these predictions should change as we change the distribution. In this paper, we…

Machine Learning · Computer Science 2024-11-21 David Brandfonbrener , Nikhil Anand , Nikhil Vyas , Eran Malach , Sham Kakade

Test-time scaling offers a promising path to improve LLM reasoning by utilizing more compute at inference time; however, the true promise of this paradigm lies in extrapolation (i.e., improvement in performance on hard problems as LLMs keep…

Machine Learning · Computer Science 2025-06-16 Amrith Setlur , Matthew Y. R. Yang , Charlie Snell , Jeremy Greer , Ian Wu , Virginia Smith , Max Simchowitz , Aviral Kumar

Large Language Models (LLMs) are large-scale pretrained models that have achieved remarkable success across diverse domains. These successes have been driven by unprecedented complexity and scale in both data and computations. However, due…

In recent years, pretraining models have made significant advancements in the fields of natural language processing (NLP), computer vision (CV), and life sciences. The significant advancements in NLP and CV are predominantly driven by the…

Machine Learning · Computer Science 2024-07-02 Xiaohong Ji , Zhen Wang , Zhifeng Gao , Hang Zheng , Linfeng Zhang , Guolin Ke , Weinan E

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

Large Language Models (LLMs) with reasoning capabilities have achieved state-of-the-art performance on a wide range of tasks. Despite its empirical success, the tasks and model scales at which reasoning becomes effective, as well as its…

Computation and Language · Computer Science 2025-09-29 Nicolas Boizard , Hippolyte Gisserot-Boukhlef , Kevin El-Haddad , Céline Hudelot , Pierre Colombo

Humans are good at learning on the job: We learn how to solve the tasks we face as we go along. Can a model do the same? We propose an agent that assembles a task-specific curriculum, called test-time curriculum (TTC-RL), and applies…

Machine Learning · Computer Science 2025-10-07 Jonas Hübotter , Leander Diaz-Bone , Ido Hakimi , Andreas Krause , Moritz Hardt

Recent studies have demonstrated the effectiveness of LLM test-time scaling. However, existing approaches to incentivize LLMs' deep thinking abilities generally require large-scale data or significant training efforts. Meanwhile, it remains…

Computation and Language · Computer Science 2025-02-19 Ruotian Ma , Peisong Wang , Cheng Liu , Xingyan Liu , Jiaqi Chen , Bang Zhang , Xin Zhou , Nan Du , Jia Li

Fine-tuning large language models (LLMs) for reasoning tasks using reinforcement learning methods like Group Relative Policy Optimization (GRPO) is computationally expensive. To address this, we propose a predictive framework that models…

Machine Learning · Computer Science 2026-03-23 Datta Nimmaturi , Vaishnavi Bhargava , Rajat Ghosh , Johnu George , Debojyoti Dutta

Precise estimation of downstream performance in large language models (LLMs) prior to training is essential for guiding their development process. Scaling laws analysis utilizes the statistics of a series of significantly smaller sampling…

Computation and Language · Computer Science 2025-04-09 Yangyi Chen , Binxuan Huang , Yifan Gao , Zhengyang Wang , Jingfeng Yang , Heng Ji

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…

Reasoning is an integral part of many tasks performed by language models (LMs). However, the effects of scaling model sizes and data on reasoning abilities at pretraining time remain understudied. To rigorously investigate this problem, we…

Artificial Intelligence · Computer Science 2025-09-30 Xinyi Wang , Shawn Tan , Shenbo Xu , Mingyu Jin , William Yang Wang , Rameswar Panda , Yikang Shen

Upweighting high-quality data in LLM pretraining often improves performance, but in datalimited regimes, especially under overtraining, stronger upweighting increases repetition and can degrade performance. However, standard scaling laws do…

Computation and Language · Computer Science 2026-05-05 Fengze Liu , Weidong Zhou , Binbin Liu , Ping Guo , Zijun Wang , Bingni Zhang , Yifan Zhang , Yifeng Yu , Xiaohuan Zhou , Taifeng Wang

Recent work has demonstrated the remarkable potential of Large Language Models (LLMs) in test-time scaling. By making models think before answering, they are able to achieve much higher accuracy with extra inference computation. However, in…

Artificial Intelligence · Computer Science 2025-05-22 Yi Sun , Han Wang , Jiaqiang Li , Jiacheng Liu , Xiangyu Li , Hao Wen , Yizhen Yuan , Huiwen Zheng , Yan Liang , Yuanchun Li , Yunxin Liu

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…

Machine Learning · Computer Science 2026-04-27 Sijie Li , Shanda Li , Haowei Lin , Weiwei Sun , Ameet Talwalkar , Yiming Yang

Recently, Zaremba et al. demonstrated that increasing inference-time computation improves robustness in large proprietary reasoning LLMs. In this paper, we first show that smaller-scale, open-source models (e.g., DeepSeek R1, Qwen3,…

Artificial Intelligence · Computer Science 2025-07-23 Tong Wu , Chong Xiang , Jiachen T. Wang , Weichen Yu , Chawin Sitawarin , Vikash Sehwag , Prateek Mittal

Recently, large language models (LLMs) have demonstrated outstanding reasoning capabilities on mathematical and coding tasks. However, their application to financial tasks-especially the most fundamental task of stock movement…

Computation and Language · Computer Science 2025-10-27 Xueyuan Lin , Cehao Yang , Ye Ma , Ming Li , Rongjunchen Zhang , Yang Ni , Xiaojun Wu , Chengjin Xu , Jian Guo , Hui Xiong

Large foundation models are typically trained on data from multiple domains, with the data mixture--the proportion of each domain used--playing a critical role in model performance. The standard approach to selecting this mixture relies on…

Machine Learning · Computer Science 2025-10-03 Mustafa Shukor , Louis Bethune , Dan Busbridge , David Grangier , Enrico Fini , Alaaeldin El-Nouby , Pierre Ablin

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

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