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This paper investigates the ability of large language models (LLMs) to solve statistical tasks, as well as their capacity to assess the quality of reasoning. While state-of-the-art LLMs have demonstrated remarkable performance in a range of…

Computation and Language · Computer Science 2026-01-22 Crish Nagarkar , Leonid Bogachev , Serge Sharoff

Reasoning is a core capability of large language models, yet how multi-step reasoning is learned and executed remains unclear. We study this question in a controlled cellular-automata (1dCA) framework that excludes memorisation by using…

Large Language Models (LLMs) are increasingly adopted as evaluators, offering a scalable alternative to human annotation. However, existing supervised fine-tuning (SFT) approaches often fall short in domains that demand complex reasoning.…

Computation and Language · Computer Science 2025-11-04 Nuo Chen , Zhiyuan Hu , Qingyun Zou , Jiaying Wu , Qian Wang , Bryan Hooi , Bingsheng He

Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang

Recent generations of language models have introduced Large Reasoning Models (LRMs) that generate detailed thinking processes before providing answers. While these models demonstrate improved performance on reasoning benchmarks, their…

Artificial Intelligence · Computer Science 2025-11-21 Parshin Shojaee , Iman Mirzadeh , Keivan Alizadeh , Maxwell Horton , Samy Bengio , Mehrdad Farajtabar

While Large language models (LLMs) have proved able to address some complex reasoning tasks, we also know that they are highly sensitive to input variation, which can lead to different solution paths and final answers. Answer consistency…

Computation and Language · Computer Science 2025-03-05 Huiyuan Lai , Xiao Zhang , Malvina Nissim

Although contemporary large language models (LMs) demonstrate impressive question-answering capabilities, their answers are typically the product of a single call to the model. This entails an unwelcome degree of opacity and compromises…

Artificial Intelligence · Computer Science 2022-08-31 Antonia Creswell , Murray Shanahan

Large language models (LLMs) demonstrate strong chain-of-thought (CoT) reasoning abilities, while smaller models (<= 3B parameters) significantly underperform on multi-step reasoning tasks. Based on empirical analyses of the Qwen-2.5 model…

Artificial Intelligence · Computer Science 2026-05-29 Yang Ouyang , Shuhang Lin , Jung-Eun Kim

Recent advances in reasoning with large language models (LLMs) have demonstrated strong performance on complex mathematical tasks, including combinatorial optimization. Techniques such as Chain-of-Thought and In-Context Learning have…

Artificial Intelligence · Computer Science 2025-09-17 Marylou Fauchard , Florian Carichon , Margarida Carvalho , Golnoosh Farnadi

Large Language Models (LLMs) have achieved excellent performances in various tasks. However, fine-tuning an LLM requires extensive supervision. Human, on the other hand, may improve their reasoning abilities by self-thinking without…

Computation and Language · Computer Science 2022-10-26 Jiaxin Huang , Shixiang Shane Gu , Le Hou , Yuexin Wu , Xuezhi Wang , Hongkun Yu , Jiawei Han

Large Language Models (LLMs) are capable of displaying a wide range of abilities that are not directly connected with the task for which they are trained: predicting the next words of human-written texts. In this article, I review recent…

Artificial Intelligence · Computer Science 2023-12-19 Stefano Nolfi

Large Language Models (LLMs) possess substantial reasoning capabilities and are increasingly applied to optimization tasks, particularly in synergy with evolutionary computation. However, while recent surveys have explored specific aspects…

Neural and Evolutionary Computing · Computer Science 2026-01-08 Yisong Zhang , Ran Cheng , Guoxing Yi , Kay Chen Tan

Building a theoretical understanding of the capabilities of large language models (LLMs) is vital for our ability to predict and explain the behavior of these systems. Here, we investigate the structure of LLM capabilities by extracting…

Computation and Language · Computer Science 2023-06-21 Ryan Burnell , Han Hao , Andrew R. A. Conway , Jose Hernandez Orallo

Large Language Models (LLMs) exhibit emerging in-context learning abilities through prompt engineering. The recent progress in large-scale generative models has further expanded their use in real-world language applications. However, the…

Computation and Language · Computer Science 2024-04-12 Linyi Yang , Shuibai Zhang , Zhuohao Yu , Guangsheng Bao , Yidong Wang , Jindong Wang , Ruochen Xu , Wei Ye , Xing Xie , Weizhu Chen , Yue Zhang

Reasoning-oriented large language models (RLMs) achieve strong gains on tasks such as mathematics and coding by generating explicit intermediate reasoning. However, their impact on machine translation (MT) remains underexplored. We…

Computation and Language · Computer Science 2026-02-17 Sara Rajaee , Sebastian Vincent , Alexandre Berard , Marzieh Fadaee , Kelly Marchisio , Tom Kocmi

The emergent few-shot reasoning capabilities of Large Language Models (LLMs) have excited the natural language and machine learning community over recent years. Despite of numerous successful applications, the underlying mechanism of such…

Computation and Language · Computer Science 2023-06-09 Xiaojuan Tang , Zilong Zheng , Jiaqi Li , Fanxu Meng , Song-Chun Zhu , Yitao Liang , Muhan Zhang

Language models have steadily increased in size over the past few years. They achieve a high level of performance on various natural language processing (NLP) tasks such as question answering and summarization. Large language models (LLMs)…

Computation and Language · Computer Science 2023-01-31 Jessica Huynh , Cathy Jiao , Prakhar Gupta , Shikib Mehri , Payal Bajaj , Vishrav Chaudhary , Maxine Eskenazi

Large Language Models (LLMs) have demonstrated outstanding performance in mathematical reasoning capabilities. However, we argue that current large-scale reasoning models primarily rely on scaling up training datasets with diverse…

Computation and Language · Computer Science 2025-10-01 Jiayi Kuang , Haojing Huang , Yinghui Li , Xinnian Liang , Zhikun Xu , Yangning Li , Xiaoyu Tan , Chao Qu , Meishan Zhang , Ying Shen , Philip S. Yu

In recent years, large pre-trained language models (LLMs) have demonstrated the ability to follow instructions and perform novel tasks from a few examples. The possibility to parameterise an LLM through such in-context examples widens their…

Machine Learning · Computer Science 2023-05-10 Imanol Schlag , Sainbayar Sukhbaatar , Asli Celikyilmaz , Wen-tau Yih , Jason Weston , Jürgen Schmidhuber , Xian Li

Recent works have demonstrated the effectiveness of self-alignment in which a large language model is aligned to follow general instructions using instructional data generated from the model itself starting from a handful of human-written…

Computation and Language · Computer Science 2024-06-07 Junmo Kang , Hongyin Luo , Yada Zhu , Jacob Hansen , James Glass , David Cox , Alan Ritter , Rogerio Feris , Leonid Karlinsky