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Related papers: Relative-Based Scaling Law for Neural Language Mod…

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Scaling laws guide the development of large language models (LLMs) by offering estimates for the optimal balance of model size, tokens, and compute. More recently, loss-to-loss scaling laws that relate losses across pretraining datasets and…

Machine Learning · Computer Science 2026-05-21 Prasanna Mayilvahanan , Thaddäus Wiedemer , Sayak Mallick , Matthias Bethge , Wieland Brendel

Code Large Language Models (LLMs) are revolutionizing software engineering. However, scaling laws that guide the efficient training are predominantly analyzed on Natural Language (NL). Given the fundamental differences like strict syntax…

Computation and Language · Computer Science 2026-05-19 Xianzhen Luo , Wenzhen Zheng , Qingfu Zhu , Rongyi Zhang , Houyi Li , Siming Huang , YuanTao Fan , Wanxiang Che

Scaling law that rewards large datasets, complex models and enhanced data granularity has been observed in various fields of deep learning. Yet, studies on time series forecasting have cast doubt on scaling behaviors of deep learning…

Machine Learning · Computer Science 2024-11-13 Jingzhe Shi , Qinwei Ma , Huan Ma , Lei Li

The scientific scale-up of large language models (LLMs) necessitates a comprehensive understanding of their scaling properties. However, the existing literature on the scaling properties only yields an incomplete answer: optimization loss…

Computation and Language · Computer Science 2024-04-18 Shengding Hu , Xin Liu , Xu Han , Xinrong Zhang , Chaoqun He , Weilin Zhao , Yankai Lin , Ning Ding , Zebin Ou , Guoyang Zeng , Zhiyuan Liu , Maosong Sun

The prediction of learning curves for Natural Language Processing (NLP) models enables informed decision-making to meet specific performance objectives, while reducing computational overhead and lowering the costs associated with dataset…

Machine Learning · Computer Science 2025-10-21 Viktoria Schram , Markus Hiller , Daniel Beck , Trevor Cohn

Conformal prediction is a popular framework of uncertainty quantification that constructs prediction sets with coverage guarantees. To uphold the exchangeability assumption, many conformal prediction methods necessitate an additional…

Machine Learning · Computer Science 2025-07-11 Hao Zeng , Kangdao Liu , Bingyi Jing , Hongxin Wei

Empirically, large-scale deep learning models often satisfy a neural scaling law: the test error of the trained model improves polynomially as the model size and data size grow. However, conventional wisdom suggests the test error consists…

Machine Learning · Computer Science 2025-06-11 Licong Lin , Jingfeng Wu , Sham M. Kakade , Peter L. Bartlett , Jason D. Lee

We study the problem of similarity detection by sequence alignment with gaps, using a recently established theoretical framework based on the morphology of alignment paths. Alignments of sequences without mutual correlations are found to…

Biological Physics · Physics 2009-09-25 Dirk Drasdo , Terence Hwa , Michael Lassig

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

Recent advancement of large-scale pretrained models such as BERT, GPT-3, CLIP, and Gopher, has shown astonishing achievements across various task domains. Unlike vision recognition and language models, studies on general-purpose user…

Information Retrieval · Computer Science 2022-11-23 Kyuyong Shin , Hanock Kwak , Su Young Kim , Max Nihlen Ramstrom , Jisu Jeong , Jung-Woo Ha , Kyung-Min Kim

Recent work has identified simple empirical scaling laws for language models, linking compute budget, dataset size, model size, and autoregressive modeling loss. The validity of these simple power laws across orders of magnitude in model…

Machine Learning · Statistics 2021-09-27 Amélie Chatelain , Amine Djeghri , Daniel Hesslow , Julien Launay , Iacopo Poli

Large Language Models (LLMs) have emerged as a milestone in artificial intelligence, and their performance can improve as the model size increases. However, this scaling brings great challenges to training and inference efficiency,…

Artificial Intelligence · Computer Science 2024-12-09 Chaojun Xiao , Jie Cai , Weilin Zhao , Guoyang Zeng , Biyuan Lin , Jie Zhou , Zhi Zheng , Xu Han , Zhiyuan Liu , Maosong Sun

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

Large language models (LLMs) have been widely employed across various application domains, yet their black-box nature poses significant challenges to understanding how these models process input data internally to make predictions. In this…

Machine Learning · Computer Science 2025-09-03 Hangfeng He , Weijie J. Su

It has been shown recently that a specific class of path-dependent stochastic processes, which reduce their sample space as they unfold, lead to exact scaling laws in frequency and rank distributions. Such Sample Space Reducing processes…

Physics and Society · Physics 2017-10-02 Bernat Corominas-Murtra , Rudolf Hanel , Stefan Thurner

Despite the superior performance of Large Reasoning Models (LRMs), their reasoning behaviors are often counterintuitive, leading to suboptimal reasoning capabilities. To theoretically formalize the desired reasoning behaviors, this paper…

Artificial Intelligence · Computer Science 2025-12-22 Junyu Zhang , Yifan Sun , Tianang Leng , Jingyan Shen , Liu Ziyin , Paul Pu Liang , Huan Zhang

Probabilistic next-token prediction trained using cross-entropy loss is the basis of most large language models. Given a sequence of previous values, next-token prediction assigns a probability to each possible next value in the vocabulary.…

Machine Learning · Statistics 2025-05-19 Jacob Trauger , Ambuj Tewari

The objective of drug discovery is to identify chemical compounds that possess specific pharmaceutical properties toward a binding target. Existing large language models (LLMS) can achieve high token matching scores in terms of likelihood…

Machine Learning · Computer Science 2025-04-01 Xuefeng Liu , Chih-chan Tien , Peng Ding , Songhao Jiang , Rick L. Stevens

Scaling-law has guided the language model designing for past years, however, it is worth noting that the scaling laws of NLP cannot be directly applied to RecSys due to the following reasons: (1) The amount of training samples and model…

Information Retrieval · Computer Science 2025-08-26 Xiao Lv , Jiangxia Cao , Shijie Guan , Xiaoyou Zhou , Zhiguang Qi , Yaqiang Zang , Ming Li , Ben Wang , Kun Gai , Guorui Zhou

The dependence with text length of the statistical properties of word occurrences has long been considered a severe limitation quantitative linguistics. We propose a simple scaling form for the distribution of absolute word frequencies…

Physics and Society · Physics 2015-06-15 Francesc Font-Clos , Gemma Boleda , Álvaro Corral
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