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Large language models (LLMs) have shown remarkable progress in complex reasoning tasks, largely enabled by test-time scaling (TTS) paradigms that allocate additional compute during inference. Among these, external TTS (particularly the…

Computation and Language · Computer Science 2025-10-21 Bin Yu , Xinming Wang , Shijie Lian , Haotian Li , Changti Wu , Ruina Hu , Bailing Wang , Yuliang Wei , Kai Chen

Large reasoning language models such as OpenAI-o1 and Deepseek-R1 have recently attracted widespread attention due to their impressive task-solving abilities. However, the enormous model size and the generation of lengthy thought chains…

Computation and Language · Computer Science 2025-05-27 Jikai Wang , Juntao Li , Jianye Hou , Bowen Yan , Lijun Wu , Min Zhang

Large language models (LLMs) now solve multi-step problems by emitting extended chains of thought. During the process, they often re-derive the same intermediate steps across problems, inflating token usage and latency. This saturation of…

Machine Learning · Computer Science 2025-09-17 Aniket Didolkar , Nicolas Ballas , Sanjeev Arora , Anirudh Goyal

Supervised fine-tuning (SFT) on chain-of-thought data is an essential post-training step for reasoning language models. Standard machine learning intuition suggests that training with more unique training samples yields better…

Computation and Language · Computer Science 2026-02-12 Dawid J. Kopiczko , Sagar Vaze , Tijmen Blankevoort , Yuki M. Asano

Large language models (LLMs) have exhibited impressive reasoning abilities on a wide range of complex tasks. However, enhancing these capabilities through post-training remains resource intensive, particularly in terms of data and…

Artificial Intelligence · Computer Science 2025-08-13 Shuo Cai , Su Lu , Qi Zhou , Kejing Yang , Zhijie Sang , Congkai Xie , Hongxia Yang

Large reasoning models (LRMs) achieve strong reasoning performance by emitting long chains of thought. Yet, these verbose traces slow down inference and often drift into unnecessary detail, known as the overthinking phenomenon. To better…

Computation and Language · Computer Science 2025-06-10 Ming Li , Zhengyuan Yang , Xiyao Wang , Dianqi Li , Kevin Lin , Tianyi Zhou , Lijuan Wang

Large language models have manifested remarkable capabilities by leveraging chain-of-thought (CoT) reasoning techniques to solve intricate questions through step-by-step reasoning chains. Despite its success, the efficacy of such reasoning…

Computation and Language · Computer Science 2024-03-29 Yexin Wu , Zhuosheng Zhang , Hai Zhao

While language models have shown remarkable performance across diverse tasks, they still encounter challenges in complex reasoning scenarios. Recent research suggests that language models trained on linearized search traces toward…

Artificial Intelligence · Computer Science 2025-10-28 Seungyong Moon , Bumsoo Park , Hyun Oh Song

Recent reasoning LLMs (RLMs), especially those trained with verifier-based reinforcement learning, often perform worse with few-shot CoT than with direct answering. We revisit this paradox using high-quality reasoning traces from…

Computation and Language · Computer Science 2025-09-30 Haonan Wang , Weida Liang , Zihang Fu , Nie Zheng , Yifan Zhang , Yao Tong , Tongyao Zhu , Hao Jiang , Chuang Li , Jiaying Wu , Kenji Kawaguchi

Chain-of-Thought (CoT) reasoning enhances large language models (LLMs) by enabling step-by-step problem-solving, yet its extension to Long-CoT introduces substantial computational overhead due to increased token length. Existing compression…

Computation and Language · Computer Science 2025-11-14 Yibo Wang , Haotian Luo , Huanjin Yao , Tiansheng Huang , Haiying He , Rui Liu , Naiqiang Tan , Jiaxing Huang , Xiaochun Cao , Dacheng Tao , Li Shen

Large language models (LLMs) have achieved impressive results on multi-step mathematical reasoning, yet at the cost of high computational overhead. This challenge is particularly acute for test-time scaling methods such as parallel…

Machine Learning · Computer Science 2026-03-24 Yuanlin Chu , Bo Wang , Xiang Liu , Hong Chen , Aiwei Liu , Xuming Hu

We revisit test-time scaling for language model reasoning and ask a fundamental question: at equal token budget and compute, is it better to run multiple independent chains in parallel, or to run fewer chains that iteratively refine through…

Machine Learning · Computer Science 2025-11-05 Aman Sharma , Paras Chopra

Test-Time Scaling (TTS) improves LLM reasoning by exploring multiple candidate responses and then operating over this set to find the best output. A tacit premise behind TTS is that sufficiently diverse candidate pools enhance reliability.…

Computation and Language · Computer Science 2026-05-12 Shahriar Kabir Nahin , Hadi Askari , Muhao Chen , Anshuman Chhabra

Recent advances in text-based large language models (LLMs), particularly in the GPT series and the o1 model, have demonstrated the effectiveness of scaling both training-time and inference-time compute. However, current state-of-the-art TTS…

Audio and Speech Processing · Electrical Eng. & Systems 2025-02-25 Zhen Ye , Xinfa Zhu , Chi-Min Chan , Xinsheng Wang , Xu Tan , Jiahe Lei , Yi Peng , Haohe Liu , Yizhu Jin , Zheqi Dai , Hongzhan Lin , Jianyi Chen , Xingjian Du , Liumeng Xue , Yunlin Chen , Zhifei Li , Lei Xie , Qiuqiang Kong , Yike Guo , Wei Xue

Batch size scheduling (BSS) plays a critical role in large-scale deep learning training, influencing both optimization dynamics and computational efficiency. Yet, its theoretical foundations remain poorly understood. In this work, we show…

Machine Learning · Computer Science 2026-02-24 Jinbo Wang , Binghui Li , Zhanpeng Zhou , Mingze Wang , Yuxuan Sun , Jiaqi Zhang , Xunliang Cai , Lei Wu

Search is a central problem in artificial intelligence, and breadth-first search (BFS) and depth-first search (DFS) are the two most fundamental ways to search. In this paper we derive estimates for average BFS and DFS runtime. The average…

Artificial Intelligence · Computer Science 2018-04-13 Tom Everitt , Marcus Hutter

Large language models achieve strong reasoning performance, but inference strategies such as Self-Consistency (SC) are computationally expensive, as they fully expand all reasoning traces. We introduce PoLR (Path of Least Resistance), the…

Artificial Intelligence · Computer Science 2026-02-04 Ishan Jindal , Sai Prashanth Akuthota , Jayant Taneja , Sachin Dev Sharma

Recent advancements in large language models (LLMs) have significantly improved their reasoning abilities, particularly through techniques involving search and backtracking. Backtracking naturally scales test-time compute by enabling…

Machine Learning · Computer Science 2025-10-06 Tian Qin , David Alvarez-Melis , Samy Jelassi , Eran Malach

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

Artificial Intelligence · Computer Science 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Test-time scaling methods have seen a rapid increase in popularity for its computational efficiency and parameter-independent training to improve reasoning performance on Large Language Models. One such method is called budget forcing, a…

Artificial Intelligence · Computer Science 2025-10-27 Ravindra Aribowo Tarunokusumo , Rafael Fernandes Cunha
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