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Large Language Models (LLMs) offer promising capabilities for tackling complex reasoning tasks, including optimization problems. However, existing methods either rely on prompt engineering, which leads to poor generalization across problem…

Machine Learning · Computer Science 2025-10-23 Dong Li , Xujiang Zhao , Linlin Yu , Yanchi Liu , Wei Cheng , Zhengzhang Chen , Zhong Chen , Feng Chen , Chen Zhao , Haifeng Chen

Test-time scaling improves large language models' (LLMs) performance by allocating more compute budget during inference. To achieve this, existing methods often require intricate modifications to prompting and sampling strategies. In this…

Computation and Language · Computer Science 2025-11-04 Junqi Jiang , Tom Bewley , Salim I. Amoukou , Francesco Leofante , Antonio Rago , Saumitra Mishra , Francesca Toni

Test-time scaling has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs) by allocating additional computational resources during inference. However, this paradigm is inherently…

Computation and Language · Computer Science 2025-09-08 Shengyin Sun , Yiming Li , Xing Li , Yingzhao Lian , Weizhe Lin , Hui-Ling Zhen , Zhiyuan Yang , Chen Chen , Xianzhi Yu , Mingxuan Yuan , Chen Ma

Large language models (LLMs) now exhibit strong multi-step reasoning abilities, but existing inference-time scaling methods remain computationally expensive, often relying on extensive sampling or external evaluators. We propose a…

Artificial Intelligence · Computer Science 2026-03-10 Nicolas Legrand , Kenneth Enevoldsen , Márton Kardos , Kristoffer Nielbo

With the advancement of large language models (LLMs), solving complex reasoning tasks has gained increasing attention. Inference-time computation methods (e.g., Best-of-N, beam search, et al.) are particularly valuable as they can enhance…

Artificial Intelligence · Computer Science 2025-02-18 Fan Liu , Wenshuo Chao , Naiqiang Tan , Hao Liu

Inference-time scaling can enhance the reasoning capabilities of large language models (LLMs) on complex problems that benefit from step-by-step problem solving. Although lengthening generated scratchpads has proven effective for…

Large reasoning models (LRMs) have recently achieved significant progress in complex reasoning tasks, aided by reinforcement learning with verifiable rewards. However, LRMs often suffer from overthinking, expending excessive computation on…

Artificial Intelligence · Computer Science 2025-08-19 Chuhuai Yue , Chengqi Dong , Yinan Gao , Hang He , Jiajun Chai , Guojun Yin , Wei Lin

There is intense interest in investigating how inference time compute (ITC) (e.g. repeated sampling, refinements, etc) can improve large language model (LLM) capabilities. At the same time, recent breakthroughs in reasoning models, such as…

Artificial Intelligence · Computer Science 2025-04-22 Junlin Wang , Shang Zhu , Jon Saad-Falcon , Ben Athiwaratkun , Qingyang Wu , Jue Wang , Shuaiwen Leon Song , Ce Zhang , Bhuwan Dhingra , James Zou

Generative models have made significant impacts across various domains, largely due to their ability to scale during training by increasing data, computational resources, and model size, a phenomenon characterized by the scaling laws.…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Nanye Ma , Shangyuan Tong , Haolin Jia , Hexiang Hu , Yu-Chuan Su , Mingda Zhang , Xuan Yang , Yandong Li , Tommi Jaakkola , Xuhui Jia , Saining Xie

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

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

Inference-time scaling has proven effective in boosting large language model (LLM) performance through increased test-time computation. Yet, its practical application is often hindered by reliance on external verifiers or a lack of…

Computation and Language · Computer Science 2025-06-23 Fei Wang , Xingchen Wan , Ruoxi Sun , Jiefeng Chen , Sercan Ö. Arık

Self-consistency (SC) is a widely used test-time inference technique for improving performance in chain-of-thought reasoning. It involves generating multiple responses, or samples from a large language model (LLM) and selecting the most…

Machine Learning · Computer Science 2025-11-18 Austin Feng , Marius Alonso , Ambroise Odonnat

Recent large language models (LLMs) achieve strong performance in generating promising reasoning paths for complex tasks. However, despite powerful generation ability, LLMs remain weak at verifying their own answers, revealing a persistent…

Computation and Language · Computer Science 2026-02-10 Yuxin Chen , Yu Wang , Yi Zhang , Ziang Ye , Zhengzhou Cai , Yaorui Shi , Qi Gu , Hui Su , Xunliang Cai , Xiang Wang , An Zhang , Tat-Seng Chua

LLMs can solve complex tasks by generating long, multi-step reasoning chains. Test-time scaling (TTS) can further improve performance by sampling multiple variants of intermediate reasoning steps, verifying their correctness, and selecting…

Large reasoning models (LRMs) achieve strong performance by producing long chains of thought, but their inference costs are high and often generate redundant reasoning. Small language models (SLMs) are far more efficient, yet struggle on…

Computation and Language · Computer Science 2026-02-06 Haojin Wang , Yike Wang , Shangbin Feng , Hannaneh Hajishirzi , Yulia Tsvetkov

Large Language Models (LLMs) have shown promising capabilities for solving Operations Research (OR) problems. While reinforcement learning serves as a powerful paradigm for LLM training on OR problems, existing works generally face two key…

Artificial Intelligence · Computer Science 2025-10-03 Chenyu Zhou , Tianyi Xu , Jianghao Lin , Dongdong Ge

Mathematical reasoning benchmarks are vital for evaluating large language models (LLMs), but many are static and repeatedly exposed through public evaluation and training pipelines, making it difficult to separate genuine reasoning from…

Computation and Language · Computer Science 2026-05-28 Raoyuan Zhao , Yihong Liu , Yupei Du , Hinrich Schütze , Michael A. Hedderich

Large Language Models (LLMs) have achieved impressive capabilities in language understanding and generation, yet they continue to underperform on knowledge-intensive reasoning tasks due to limited access to structured context and multi-hop…

Computation and Language · Computer Science 2025-06-26 Travis Thompson , Seung-Hwan Lim , Paul Liu , Ruoying He , Dongkuan Xu

Test-time scaling (TTS) -- the dynamic allocation of compute during inference -- is a promising direction for improving reasoning in large language models (LLMs). However, a systematic comparison of well-known TTS strategies under identical…

Computation and Language · Computer Science 2025-12-02 Aradhye Agarwal , Ayan Sengupta , Tanmoy Chakraborty