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Parallel scaling has emerged as a powerful paradigm to enhance reasoning capabilities in large language models (LLMs) by generating multiple Chain-of-Thought (CoT) traces simultaneously. However, this approach introduces significant…

Computation and Language · Computer Science 2026-04-17 Shangqing Tu , Yaxuan Li , Yushi Bai , Lei Hou , Juanzi Li

The increasing need for causal analysis in large-scale industrial datasets necessitates the development of efficient and scalable causal algorithms for real-world applications. This paper addresses the challenge of scaling causal algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Vishal Verma , Vinod Reddy , Jaiprakash Ravi

Recent advances in large language models (LLMs) have accelerated progress toward artificial general intelligence, with inference-time scaling emerging as a key technique. Contemporary approaches leverage either sequential reasoning…

Computation and Language · Computer Science 2025-07-10 Zenan Xu , Zexuan Qiu , Guanhua Huang , Kun Li , Siheng Li , Chenchen Zhang , Kejiao Li , Qi Yi , Yuhao Jiang , Bo Zhou , Fengzong Lian , Zhanhui Kang

Mathematical reasoning through Chain-of-Thought (CoT) has emerged as a powerful capability of Large Language Models (LLMs), which can be further enhanced through Test-Time Scaling (TTS) methods like Beam Search and DVTS. However, these…

Computation and Language · Computer Science 2025-05-26 Zezhong Wang , Xingshan Zeng , Weiwen Liu , Yufei Wang , Liangyou Li , Yasheng Wang , Lifeng Shang , Xin Jiang , Qun Liu , Kam-Fai Wong

Recent research has highlighted that Large Language Models (LLMs), even when trained to generate extended long reasoning steps, still face significant challenges on hard reasoning problems. However, much of the existing literature relies on…

Artificial Intelligence · Computer Science 2025-05-29 Fanzeng Xia , Yidong Luo , Tinko Sebastian Bartels , Yaqi Xu , Tongxin Li

Despite the significant improvements achieved by large language models (LLMs) in English reasoning tasks, these models continue to struggle with multilingual reasoning. Recent studies leverage a full-parameter and two-stage training…

Computation and Language · Computer Science 2025-01-08 Yuchun Fan , Yongyu Mu , Yilin Wang , Lei Huang , Junhao Ruan , Bei Li , Tong Xiao , Shujian Huang , Xiaocheng Feng , Jingbo Zhu

Scaling test-time compute through extended chains of thought has become a dominant paradigm for improving large language model reasoning. However, existing research implicitly assumes that longer thinking always yields better results. This…

Artificial Intelligence · Computer Science 2026-04-14 Shu Zhou , Rui Ling , Junan Chen , Xin Wang , Tao Fan , Hao Wang

Large Language Models (LLMs) solve many reasoning tasks via chain-of-thought (CoT) prompting, but smaller models (about 7 to 8B parameters) still struggle with multi-step reasoning under tight compute and token budgets. Existing test time…

Computation and Language · Computer Science 2026-04-29 Sagnik Chatterjee , Atharva Patil , Sricharan Ramesh

With this paper, we survey techniques for improving the predictive accuracy of pretrained large language models by allocating additional compute at inference time. In categorizing test-time scaling methods, we place special emphasis on how…

Computation and Language · Computer Science 2025-11-20 Zhuoyi Yang , Xu Guo , Tong Zhang , Huijuan Xu , Boyang Li

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving. However, their proficiency in solving mathematical problems remains inadequate. We propose MathScale, a simple and scalable method to create…

Computation and Language · Computer Science 2024-03-06 Zhengyang Tang , Xingxing Zhang , Benyou Wang , Furu Wei

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

It is commonly believed that scaling language models should commit a significant space or time cost, by increasing the parameters (parameter scaling) or output tokens (inference-time scaling). We introduce the third and more…

Machine Learning · Computer Science 2025-05-16 Mouxiang Chen , Binyuan Hui , Zeyu Cui , Jiaxi Yang , Dayiheng Liu , Jianling Sun , Junyang Lin , Zhongxin Liu

Test-time scaling (TTS) has been shown to improve the performance of large language models (LLMs) by sampling and aggregating diverse reasoning paths. However, existing research has overlooked a critical issue: selection bias of reasoning…

Artificial Intelligence · Computer Science 2025-09-24 Zongqian Wu , Baoduo Xu , Tianyu Li , Zhu Sun , Xiaofeng Zhu , Lei Feng

Inspired by the success of language models (LM), scaling up deep learning recommendation systems (DLRS) has become a recent trend in the community. All previous methods tend to scale up the model parameters during training time. However,…

Information Retrieval · Computer Science 2025-12-09 Fuyuan Lyu , Zhentai Chen , Jingyan Jiang , Lingjie Li , Xing Tang , Xiuqiang He , Xue Liu

The constant increase in parallelism available on large-scale distributed computers poses major scalability challenges to many scientific applications. A common strategy to improve scalability is to express the algorithm in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-23 Andrew Garmon , Vinay Ramakrishnaiah , Danny Perez

The development of cluster computing frameworks has allowed practitioners to scale out various statistical estimation and machine learning algorithms with minimal programming effort. This is especially true for machine learning problems…

Machine Learning · Statistics 2019-06-24 Robin Vogel , Aurélien Bellet , Stephan Clémençon , Ons Jelassi , Guillaume Papa

Test-time scaling improves the reasoning performance of large language models but often results in token-inefficient overthinking, where models continue reasoning beyond what is necessary for a correct answer. Existing dynamic early-exit…

Artificial Intelligence · Computer Science 2026-04-21 Jiakun Li , Xingwei He , Kefan Li , Hongzheng Chai , Hongyue Yu , Yuan Yuan

Large Language Models (LLMs) have achieved significant advances in reasoning tasks. A key approach is tree-based search with verifiers, which expand candidate reasoning paths and use reward models to guide pruning and selection. Although…

Artificial Intelligence · Computer Science 2025-10-01 Yingqian Cui , Zhenwei Dai , Pengfei He , Bing He , Hui Liu , Xianfeng Tang , Jingying Zeng , Suhang Wang , Yue Xing , Jiliang Tang , Benoit Dumoulin

Large Reasoning Models (LRMs) have shown impressive capabilities in complex problem-solving, often benefiting from training on difficult mathematical problems that stimulate intricate reasoning. Recent efforts have explored automated…

Machine Learning · Computer Science 2025-09-26 Qizhi Pei , Zhuoshi Pan , Honglin Lin , Xin Gao , Yu Li , Zinan Tang , Conghui He , Rui Yan , Lijun Wu

Reinforcement learning has emerged as an effective paradigm for training large language models to interleave reasoning with search engine calls. However, existing approaches face a fundamental credit assignment problem: methods like…

Computation and Language · Computer Science 2026-04-02 Chris Samarinas , Haw-Shiuan Chang , Hamed Zamani