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This paper derives `Scaling Laws for Economic Impacts' -- empirical relationships between the training compute of Large Language Models (LLMs) and professional productivity. In a preregistered experiment, over 500 consultants, data…

General Economics · Economics 2025-12-25 Ali Merali

Continual Pre-training (CPT) serves as a fundamental approach for adapting foundation models to domain-specific applications. Scaling laws for pre-training define a power-law relationship between dataset size and the test loss of an LLM.…

Machine Learning · Computer Science 2025-12-29 Lei Liu , Hao Zhu , Yue Shen , Zhixuan Chu , Jian Wang , Jinjie Gu , Kui Ren

We introduce a scaling law for fine-tuning large language models (LLMs) under fixed compute budgets that explicitly accounts for data composition. Conventional approaches measure training data solely by total tokens, yet the number of…

Computation and Language · Computer Science 2025-06-04 Ryan Lagasse , Aidan Kierans , Avijit Ghosh , Shiri Dori-Hacohen

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

Artificial Intelligence · Computer Science 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Widely observed neural scaling laws, in which error falls off as a power of the training set size, model size, or both, have driven substantial performance improvements in deep learning. However, these improvements through scaling alone…

Machine Learning · Computer Science 2023-04-25 Ben Sorscher , Robert Geirhos , Shashank Shekhar , Surya Ganguli , Ari S. Morcos

Learning arguably involves the discovery and memorization of abstract rules. The aim of this paper is to study associative memory mechanisms. Our model is based on high-dimensional matrices consisting of outer products of embeddings, which…

Machine Learning · Statistics 2024-02-22 Vivien Cabannes , Elvis Dohmatob , Alberto Bietti

Optimal configuration of the learning rate (LR) is a fundamental yet formidable challenge in large-scale pre-training. Given the stringent trade-off between training costs and model performance, the pivotal question is whether the optimal…

Artificial Intelligence · Computer Science 2026-01-09 Yunhua Zhou , Shuhao Xing , Junhao Huang , Xipeng Qiu , Qipeng Guo

Test-time scaling (TTS) has recently emerged as a promising direction to exploit the hidden reasoning capabilities of pre-trained large language models (LLMs). However, existing scaling methods narrowly focus on the compute-optimal…

Performance · Computer Science 2025-09-25 Youpeng Zhao , Jinpeng LV , Di Wu , Jun Wang , Christopher Gooley

Generative retrieval reformulates retrieval as an autoregressive generation task, where large language models (LLMs) generate target documents directly from a query. As a novel paradigm, the mechanisms that underpin its performance and…

Information Retrieval · Computer Science 2025-06-10 Hongru Cai , Yongqi Li , Ruifeng Yuan , Wenjie Wang , Zhen Zhang , Wenjie Li , Tat-Seng Chua

The escalating demand for efficient decoding in large language models (LLMs) is particularly critical for reasoning-intensive architectures like OpenAI-o3 and DeepSeek-R1, which depend on extended chain-of-thought reasoning. This study…

Computation and Language · Computer Science 2025-05-14 Siyuan Yan , Mo Zhu , Guo-qing Jiang , Jianfei Wang , Jiaxing Chen , Wentai Zhang , Xiang Liao , Xiao Cui , Chen Zhang , Zhuoran Song , Ran Zhu

The remarkable success of large language pretraining and the discovery of scaling laws signify a paradigm shift in machine learning. Notably, the primary objective has evolved from minimizing generalization error to reducing approximation…

Machine Learning · Computer Science 2025-02-17 Lechao Xiao

Learning curves are a measure for how the performance of machine learning models improves given a certain volume of training data. Over a wide variety of applications and models it was observed that learning curves follow -- to a large…

Machine Learning · Computer Science 2023-10-13 Laura Didyk , Brayden Yarish , Michael A. Beck , Christopher P. Bidinosti , Christopher J. Henry

Past work has established scaling laws that predict the performance of a neural language model (LM) as a function of its parameter count and the number of tokens it's trained on, enabling optimal allocation of a fixed compute budget. Are…

Computation and Language · Computer Science 2024-05-28 Rohan Pandey

Predicting changes from scaling advanced AI systems is a desirable property for engineers, economists, governments and industry alike, and, while a well-established literature exists on how pretraining performance scales, predictable…

Large language model pre-training has become increasingly expensive, with most practitioners relying on scaling laws to allocate compute budgets for model size and training tokens, commonly referred to as Compute-Optimal or Chinchilla…

Machine Learning · Computer Science 2024-05-03 Zhen Guo

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

Test-time scaling (TTS) -- the dynamic allocation of compute during inference -- is a promising direction for improving reasoning in large language models (LLMs). However, a systematic comparison of well-known TTS strategies under identical…

Computation and Language · Computer Science 2025-12-02 Aradhye Agarwal , Ayan Sengupta , Tanmoy Chakraborty

The escalating scale and cost of Large Language Models (LLMs) training necessitate accurate pre-training prediction of downstream task performance for comprehensive understanding of scaling properties. This is challenged by: 1) the…

Computation and Language · Computer Science 2026-03-10 Chengyin Xu , Kaiyuan Chen , Xiao Li , Ke Shen , Chenggang Li

Data-driven models are revolutionizing weather forecasting. To optimize training efficiency and model performance, this paper analyzes empirical scaling laws within this domain. We investigate the relationship between model performance…

Machine Learning · Computer Science 2026-02-27 Yuejiang Yu , Langwen Huang , Alexandru Calotoiu , Torsten Hoefler

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