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Related papers: Scale Dependent Data Duplication

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The cross-entropy scaling law has long served as a key tool for guiding the development of large language models. It shows that cross-entropy loss decreases in a predictable power-law rate as the model size increases. However, recent…

Machine Learning · Computer Science 2026-03-03 Junxi Yan , Zixi Wei , Qingyao Ai , Yiqun Liu , Jingtao Zhan

Natural language exhibits statistical dependencies at a wide range of scales. For instance, the mutual information between words in natural language decays like a power law with the temporal lag between them. However, many statistical…

Computation and Language · Computer Science 2019-12-17 Aakash Sarkar , Marc Howard

On a variety of tasks, the performance of neural networks predictably improves with training time, dataset size and model size across many orders of magnitude. This phenomenon is known as a neural scaling law. Of fundamental importance is…

Machine Learning · Statistics 2024-06-25 Blake Bordelon , Alexander Atanasov , Cengiz Pehlevan

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

The GPT-4 technical report suggests that downstream performance can be predicted from pre-training signals, but offers little methodological detail on how to quantify this. This work address this gap by modeling knowledge retention, the…

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

Scaling laws predict that the performance of large language models improves with increasing model size and data size. In practice, pre-training has been relying on massive web crawls, using almost all data sources publicly available on the…

Computation and Language · Computer Science 2025-09-16 Thao Nguyen , Yang Li , Olga Golovneva , Luke Zettlemoyer , Sewoong Oh , Ludwig Schmidt , Xian Li

Because large language models are expensive to pretrain on different datasets, using smaller-scale experiments to decide on data is crucial for reducing costs. Which benchmarks and methods of making decisions from observed performance at…

Fine-tuning adapts pretrained networks to new objectives. Whether the resulting depth profile of representational change reflects an intrinsic property of the model or the magnitude of gradient flow has not been tested directly. We measure…

Machine Learning · Computer Science 2026-04-21 Jayadev Billa

The scaling law, a cornerstone of Large Language Model (LLM) development, predicts improvements in model performance with increasing computational resources. Yet, while empirically validated, its theoretical underpinnings remain poorly…

Machine Learning · Computer Science 2026-02-03 Chiwun Yang

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

In this work, we investigate whether small language models can determine high-quality subsets of large-scale text datasets that improve the performance of larger language models. While existing work has shown that pruning based on the…

Machine Learning · Computer Science 2024-06-03 Zachary Ankner , Cody Blakeney , Kartik Sreenivasan , Max Marion , Matthew L. Leavitt , Mansheej Paul

Large Language Models (LLMs) have achieved remarkable success through imitation learning on vast text corpora, but this paradigm creates a training-generation gap and limits robust reasoning. Reinforcement learning (RL) offers a more…

Computation and Language · Computer Science 2026-04-13 Zhepeng Cen , Haolin Chen , Shiyu Wang , Zuxin Liu , Zhiwei Liu , Jielin Qiu , Ding Zhao , Silvio Savarese , Caiming Xiong , Huan Wang , Weiran Yao

Achieving high-performing language models which include medium- and lower-resource languages remains a challenge. Massively multilingual models still underperform compared to language-specific adaptations, especially at smaller model…

Computation and Language · Computer Science 2025-12-12 Kevin Glocker , Kätriin Kukk , Romina Oji , Marcel Bollmann , Marco Kuhlmann , Jenny Kunz

Downstream scaling laws aim to predict task performance at larger scales from the model's performance at smaller scales. Whether such prediction should be possible is unclear: some works discover clear linear scaling trends after simple…

Computation and Language · Computer Science 2025-10-10 Nicholas Lourie , Michael Y. Hu , Kyunghyun Cho

Scaling laws describe the relationship between the size of language models and their capabilities. Unlike prior studies that evaluate a model's capability via loss or benchmarks, we estimate the number of knowledge bits a model stores. We…

Computation and Language · Computer Science 2024-04-09 Zeyuan Allen-Zhu , Yuanzhi Li

We investigate the performance of large language models on repetitive deterministic prediction tasks and study how the sequence accuracy rate scales with output length. Each such task involves repeating the same operation n times. Examples…

Artificial Intelligence · Computer Science 2025-11-25 Wanda Hou , Leon Zhou , Hong-Ye Hu , Yubei Chen , Yi-Zhuang You , Xiao-Liang Qi

This study investigates the relative impact of training data quality versus quantity on the performance of small language models (SLMs), utilizing the TinyStories dataset for empirical analysis. Analysis of dataset variations with respect…

Computation and Language · Computer Science 2025-11-11 Aryan Sajith , Krishna Chaitanya Rao Kathala

Scaling laws for language model training traditionally characterize how performance scales with model size and dataset volume. Prior work has explored architecture variants and data treatments such as dataset filtering and noise injection…

Machine Learning · Computer Science 2026-02-24 Anirudh Subramanyam , Yuxin Chen , Robert L. Grossman

Most languages lack sufficient data for large-scale monolingual pretraining, creating a "data wall." Multilingual pretraining helps but is limited by language imbalance and the "curse of multilinguality." An alternative is to translate…

Computation and Language · Computer Science 2025-09-23 Dan John Velasco , Matthew Theodore Roque