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This paper explores the challenges of test-time scaling of large language models (LLMs), regarding both the data and inference efficiency. We highlight the diversity of multi-lingual reasoning based on our pilot studies, and then introduce…

Computation and Language · Computer Science 2025-06-24 Kang Chen , Mengdi Zhang , Yixin Cao

Large language models (LLMs) show strong reasoning abilities but often produce unnecessarily long explanations that reduce efficiency. Although reinforcement learning (RL) has been used to improve reasoning, most methods focus on accuracy…

Machine Learning · Computer Science 2026-04-20 Hanbing Liu , Lang Cao , Yuanyi Ren , Mengyu Zhou , Haoyu Dong , Xiaojun Ma , Shi Han , Dongmei Zhang

Large Language Models (LLMs) demonstrate exceptional performance across diverse tasks but come with substantial energy and computational costs, particularly in request-heavy scenarios. In many real-world applications, the full scale and…

Computation and Language · Computer Science 2026-03-24 Patrick Wilhelm , Thorsten Wittkopp , Odej Kao

Improvements in language model capabilities are often attributed to increasing model size or training data, but in some cases smaller models trained on curated data or with different architectural decisions can outperform larger ones…

Large language models (LLMs) are commonly trained on datasets consisting of fixed-length token sequences. These datasets are created by randomly concatenating documents of various lengths and then chunking them into sequences of a…

Computation and Language · Computer Science 2025-01-08 Hadi Pouransari , Chun-Liang Li , Jen-Hao Rick Chang , Pavan Kumar Anasosalu Vasu , Cem Koc , Vaishaal Shankar , Oncel Tuzel

Source code is usually formatted with elements like indentation and newlines to improve readability for human developers. However, these visual aids do not seem to be beneficial for large language models (LLMs) in the same way since the…

Software Engineering · Computer Science 2025-08-21 Dangfeng Pan , Zhensu Sun , Cenyuan Zhang , David Lo , Xiaoning Du

Training compute is increasingly outpacing the availability of high-quality data. This shifts the central challenge from optimal compute allocation to extracting maximum value from limited data. The widely adopted Chinchilla scaling law…

Machine Learning · Computer Science 2026-05-05 Justin Lovelace , Christian Belardi , Srivatsa Kundurthy , Shriya Sudhakar , Kilian Q. Weinberger

High-quality data is scarce in large language model (LLM) training, yet how to schedule its use jointly with training dynamics lacks theoretical guidance. We extend functional scaling laws by incorporating a data-quality dimension, and…

Machine Learning · Computer Science 2026-05-26 Zhitao Zhu , Xili Wang , Shizhe Wu , Jiawei Fu , Xiaoqing Liu

Generalization abilities of well-trained large language models (LLMs) are known to scale predictably as a function of model size. In contrast to the existence of practical scaling laws governing pre-training, the quality of LLMs after…

Machine Learning · Computer Science 2024-12-09 Zifei Xu , Alexander Lan , Wanzin Yazar , Tristan Webb , Sayeh Sharify , Xin Wang

Data quality plays a critical role in enhancing supervised fine-tuning (SFT) for large language models (LLMs), and token-level data selection has emerged as a promising direction for its fine-grained nature. Despite their strong empirical…

Artificial Intelligence · Computer Science 2025-10-22 Xiaohan Qin , Xiaoxing Wang , Ning Liao , Cancheng Zhang , Xiangdong Zhang , Mingquan Feng , Jingzhi Wang , Junchi Yan

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

This paper introduces a multifaceted methodology for fine-tuning and evaluating large language models (LLMs) for specialized monetization tasks. The goal is to balance general language proficiency with domain-specific skills. The…

Computation and Language · Computer Science 2023-10-10 Zheng Zhang , Chen Zheng , Da Tang , Ke Sun , Yukun Ma , Yingtong Bu , Xun Zhou , Liang Zhao

Recent advancements in Large Language Models (LLMs) have leveraged increased test-time computation to enhance reasoning capabilities, a strategy that, while effective, incurs significant latency and resource costs, limiting their…

Machine Learning · Computer Science 2025-09-01 Hao Wen , Xinrui Wu , Yi Sun , Feifei Zhang , Liye Chen , Jie Wang , Yunxin Liu , Yunhao Liu , Ya-Qin Zhang , Yuanchun Li

We explore optimally training protein language models, an area of significant interest in biological research where guidance on best practices is limited. Most models are trained with extensive compute resources until performance gains…

Machine Learning · Computer Science 2024-11-05 Xingyi Cheng , Bo Chen , Pan Li , Jing Gong , Jie Tang , Le Song

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) have demonstrated remarkable performance across a wide range of industrial applications, from search and recommendation systems to generative tasks. Although scaling laws indicate that larger models generally…

Pretraining large language models (LLMs) with next-token prediction has led to remarkable advances, yet the context-dependent nature of token embeddings in such models results in high intra-class variance and inter-class similarity, thus…

Computation and Language · Computer Science 2026-05-12 Yan Sun , Guoxia Wang , Jinle Zeng , JiaBin Yang , Shuai Li , Li Shen , Dacheng Tao , DianHai Yu , Haifeng Wang

Token filtering has been proposed to enhance the utility of large language models (LLMs) by eliminating inconsequential tokens during training. While usingfewer tokens is expected to reduce computational workloads, existing methods have not…

Machine Learning · Computer Science 2026-03-20 Di Chai , Pengbo Li , Feiyuan Zhang , Yilun Jin , Han Tian , Kaiqiang Xu , Binhang Yuan , Dian Shen , Junxue Zhang , Kai Chen

Mathematical reasoning is a challenging task for large language models (LLMs), while the scaling relationship of it with respect to LLM capacity is under-explored. In this paper, we investigate how the pre-training loss, supervised data…

Computation and Language · Computer Science 2023-09-14 Zheng Yuan , Hongyi Yuan , Chengpeng Li , Guanting Dong , Keming Lu , Chuanqi Tan , Chang Zhou , Jingren Zhou

Training Transformer language models is expensive, as performance typically improves with increasing dataset size and computational budget. Although scaling laws describe this trend at large scale, their implications in controlled,…

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