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We introduce compression laws for language language models (LLMs). While recent scaling laws have sought to understand how LLMs scale with respect to model size, pre-training data, and computational resources, we focus on understanding how…

Computation and Language · Computer Science 2025-04-08 Ayan Sengupta , Siddhant Chaudhary , Tanmoy Chakraborty

Despite the increasing prevalence of large language models (LLMs), we still have a limited understanding of how their representational spaces are structured. This limits our ability to interpret how and what they learn or relate them to…

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

Modern language models (LMs) increasingly require two critical resources: computational resources and data resources. Data selection techniques can effectively reduce the amount of training data required for fine-tuning LMs. However, their…

Computation and Language · Computer Science 2026-02-20 Hongming Li , Yang Liu , Chao Huang

Traditional scaling laws in natural language processing suggest that increasing model size and training data enhances performance. However, recent studies reveal deviations, particularly in large language models, where performance…

Machine Learning · Computer Science 2025-07-16 Zhengyu Chen , Siqi Wang , Teng Xiao , Yudong Wang , Shiqi Chen , Xunliang Cai , Junxian He , Jingang Wang

Long-term training of large language models (LLMs) requires maintaining stable exploration to prevent the model from collapsing into sub-optimal behaviors. Entropy is crucial in this context, as it controls exploration and helps avoid…

Machine Learning · Computer Science 2026-02-03 Kai Yang , Xin Xu , Yangkun Chen , Weijie Liu , Jiafei Lyu , Zichuan Lin , Deheng Ye , Saiyong Yang

Large Language Models (LLMs) are known to memorize portions of their training data, sometimes even reproduce content verbatim when prompted appropriately. Despite substantial interest, existing LLM memorization research has offered limited…

Computation and Language · Computer Science 2026-04-21 Yizhan Huang , Zhe Yang , Meifang Chen , Huang Nianchen , Jianping Zhang , Michael R. Lyu

This paper investigates the information encoded in the embeddings of large language models (LLMs). We conduct simulations to analyze the representation entropy and discover a power law relationship with model sizes. Building upon this…

Machine Learning · Computer Science 2024-02-07 Zhiquan Tan , Chenghai Li , Weiran Huang

Recent years have witnessed the rapid advancements of large language models (LLMs) and their expanding applications, leading to soaring demands for computational resources. The widespread adoption of test-time scaling further intensifies…

Artificial Intelligence · Computer Science 2026-03-11 Cheng Yuan , Jiawei Shao , Xuelong Li

The deployment of Large Language Models (LLMs) in long-context scenarios is hindered by computational inefficiency and significant information redundancy. Although recent advancements have widely adopted context compression to address these…

Computation and Language · Computer Science 2026-02-03 Kangtao Lv , Jiwei Tang , Langming Liu , Haibin Chen , Weidong Zhang , Shilei Liu , Yongwei Wang , Yujin Yuan , Wenbo Su , Bo Zheng

In this report, we investigate the potential use of large language models (LLM's) in the task of data compression. Previous works have demonstrated promising results in applying LLM's towards compressing not only text, but also a wide range…

Computation and Language · Computer Science 2026-01-07 Chen-Han Tsai

Large language models have demonstrated remarkable capabilities across various tasks, primarily attributed to the utilization of diversely sourced data. However, the impact of pretraining data composition on model performance remains poorly…

Machine Learning · Computer Science 2025-01-28 Ce Ge , Zhijian Ma , Daoyuan Chen , Yaliang Li , Bolin Ding

We conceptualize the process of understanding as information compression, and propose a method for ranking large language models (LLMs) based on lossless data compression. We demonstrate the equivalence of compression length under…

Artificial Intelligence · Computer Science 2024-06-21 Peijia Guo , Ziguang Li , Haibo Hu , Chao Huang , Ming Li , Rui Zhang

Compute-efficient training of language models has become an important issue. We consider data pruning for data-efficient training of LLMs. In this work, we consider a data pruning method based on information entropy. We propose that the…

Artificial Intelligence · Computer Science 2024-12-13 Minsang Kim , Seungjun Baek

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

We study empirical scaling laws for language model performance on the cross-entropy loss. The loss scales as a power-law with model size, dataset size, and the amount of compute used for training, with some trends spanning more than seven…

Entropy serves as a critical metric for measuring the diversity of outputs generated by large language models (LLMs), providing valuable insights into their exploration capabilities. While recent studies increasingly focus on monitoring and…

Machine Learning · Computer Science 2026-02-04 Shumin Wang , Yuexiang Xie , Wenhao Zhang , Yuchang Sun , Yanxi Chen , Yaliang Li , Yanyong Zhang

Tool-using agents based on Large Language Models (LLMs) excel in tasks such as mathematical reasoning and multi-hop question answering. However, in long trajectories, agents often trigger excessive and low-quality tool calls, increasing…

Artificial Intelligence · Computer Science 2026-03-25 Zeping Li , Hongru Wang , Yiwen Zhao , Guanhua Chen , Yixia Li , Keyang Chen , Yixin Cao , Guangnan Ye , Hongfeng Chai , Zhenfei Yin

Large reasoning models have demonstrated remarkable performance on complex reasoning tasks, yet the excessive length of their chain-of-thought outputs remains a major practical bottleneck due to high computation cost and poor deployability.…

Computation and Language · Computer Science 2025-11-25 Hourun Zhu , Yang Gao , Wenlong Fei , Jiawei Li , Huashan Sun

With the remarkable generative capabilities of large language models (LLMs), using LLM-generated data to train downstream models has emerged as a promising approach to mitigate data scarcity in specific domains and reduce time-consuming…

Computation and Language · Computer Science 2025-06-26 Yuchang Zhu , Huazhen Zhong , Qunshu Lin , Haotong Wei , Xiaolong Sun , Zixuan Yu , Minghao Liu , Zibin Zheng , Liang Chen
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