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Large Language Models (LLMs) have demonstrated remarkable abilities in reasoning. However, maximizing their potential through inference-time scaling faces challenges in trade-off between sampling budget and reasoning quality. Current…

Artificial Intelligence · Computer Science 2026-05-15 Rongman Xu , Yifei Li , Tianzhe Zhao , Yanrui Wu , Bo Li , Hang Yan

Recent advancements in large language models (LLMs) have demonstrated remarkable reasoning capabilities. However, single-shot inference often yields unreliable results for complex reasoning tasks, leading researchers to explore multiple…

Machine Learning · Computer Science 2025-02-14 Zhi Zhou , Tan Yuhao , Zenan Li , Yuan Yao , Lan-Zhe Guo , Xiaoxing Ma , Yu-Feng Li

Self-training approach for large language models (LLMs) improves reasoning abilities by training the models on their self-generated rationales. Previous approaches have labeled rationales that produce correct answers for a given question as…

Machine Learning · Computer Science 2025-02-07 Jaehyeok Lee , Keisuke Sakaguchi , JinYeong Bak

Large Language Models (LLMs) have grown increasingly powerful, yet ensuring their decisions remain transparent and trustworthy requires self-consistency -- no contradictions in their internal reasoning. Our study reveals that even on simple…

Computation and Language · Computer Science 2025-06-24 Zhenru Lin , Jiawen Tao , Yang Yuan , Andrew Chi-Chih Yao

Large Language Models (LLMs) have demonstrated exceptional capabilities, yet selecting the most reliable response from multiple LLMs remains a challenge, particularly in resource-constrained settings. Existing approaches often depend on…

Computation and Language · Computer Science 2025-10-06 Aakriti Agrawal , Rohith Aralikatti , Anirudh Satheesh , Souradip Chakraborty , Amrit Singh Bedi , Furong Huang

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

In the last decade, sequential Monte-Carlo methods (SMC) emerged as a key tool in computational statistics. These algorithms approximate a sequence of distributions by a sequence of weighted empirical measures associated to a weighted…

Statistics Theory · Mathematics 2007-06-13 R. Douc , France E. Moulines

Large language models (LLMs) have demonstrated impressive performance on a number of natural language processing tasks, such as question answering and text summarization. However, their performance on sequence labeling tasks such as intent…

Computation and Language · Computer Science 2024-02-27 Yao Qiang , Subhrangshu Nandi , Ninareh Mehrabi , Greg Ver Steeg , Anoop Kumar , Anna Rumshisky , Aram Galstyan

Recent reasoning models, such as OpenAI's O1 series, have demonstrated exceptional performance on complex reasoning tasks and revealed new test-time scaling laws. Inspired by this, many people have been studying how to train models to…

Computation and Language · Computer Science 2025-06-03 Weizhe Chen , Sven Koenig , Bistra Dilkina

Large language models present challenges for principled uncertainty quantification, in part due to their complexity and the diversity of their outputs. Semantic dispersion, or the variance in the meaning of sampled answers, has been…

Computation and Language · Computer Science 2026-03-24 Edward Phillips , Sean Wu , Fredrik K. Gustafsson , Boyan Gao , David A. Clifton

Inference-time scaling has recently emerged as a powerful paradigm for improving the reasoning capability of large language models. Among various approaches, Sequential Monte Carlo (SMC) has become a particularly important framework,…

Computation and Language · Computer Science 2026-02-03 Youheng Zhu , Yiping Lu

Large language models (LLMs) equipped with chain-of-thought (CoT) achieve strong performance and offer a window into LLM behavior. However, recent evidence suggests that improvements in CoT capabilities often come with redundant reasoning…

Computation and Language · Computer Science 2026-02-03 Yanrui Du , Sendong Zhao , Yibo Gao , Danyang Zhao , Qika Lin , Ming Ma , Jiayun Li , Yi Jiang , Kai He , Qianyi Xu , Bing Qin , Mengling Feng

Large Language Models (LLMs) achieve impressive accuracy on mathematical reasoning benchmarks, yet their performance drops when problems are modified with simple changes like different names or numbers. Code execution methods, which let…

Artificial Intelligence · Computer Science 2026-05-27 Matthew Kutakh

Large language model (LLM) scaling inference is key to unlocking greater performance, and leveraging diversity has proven an effective way to enhance it. Motivated by the observed relationship between solution accuracy and meaningful…

Machine Learning · Computer Science 2025-12-22 Tianchun Wang , Zichuan Liu , Yuanzhou Chen , Jonathan Light , Weiyang Liu , Haifeng Chen , Xiang Zhang , Wei Cheng

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

Optimization and Control · Mathematics 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

One critical challenge for large language models (LLMs) for making complex reasoning is their reliance on matching reasoning patterns from training data, instead of proactively selecting the most appropriate cognitive strategy to solve a…

Computation and Language · Computer Science 2025-03-18 Qin Liu , Wenxuan Zhou , Nan Xu , James Y. Huang , Fei Wang , Sheng Zhang , Hoifung Poon , Muhao Chen

Small language models (SLMs) have emerged as efficient alternatives to large language models for task-specific applications. However, they are often employed in high-volume, low-latency settings, where efficiency is crucial. We propose…

Computation and Language · Computer Science 2026-03-02 Dor Tsur , Sharon Adar , Ran Levy

Large language models (LLMs) frequently generate multiple candidate responses for a given prompt, yet selecting the most reliable one remains challenging, especially when correctness diverges from surface-level majority agreement. Existing…

Computation and Language · Computer Science 2026-04-15 Manh Nguyen , Sunil Gupta , Hung Le

Test-time scaling is a promising new approach to language modeling that uses extra test-time compute to improve performance. Recently, OpenAI's o1 model showed this capability but did not publicly share its methodology, leading to many…

Large language models (LLMs) are systematically overconfident: they routinely express high certainty on questions they often answer incorrectly. Existing calibration methods either require labeled validation data, degrade under distribution…

Computation and Language · Computer Science 2026-04-14 Mohamed Rissal Hedna , Jan Strich , Martin Semmann , Chris Biemann
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