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Pre-trained language models (LMs) are able to perform complex reasoning without explicit fine-tuning. To understand how pre-training with a next-token prediction objective contributes to the emergence of such reasoning capability, we…

Machine Learning · Computer Science 2024-06-24 Xinyi Wang , Alfonso Amayuelas , Kexun Zhang , Liangming Pan , Wenhu Chen , William Yang Wang

Large Language Models (LLMs) have demonstrated strong performance across a wide range of tasks, yet they still struggle with complex mathematical reasoning, a challenge fundamentally rooted in deep structural dependencies. To address this…

Artificial Intelligence · Computer Science 2025-12-01 Lei Zan , Keli Zhang , Ruichu Cai , Lujia Pan

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

Prior research has demonstrated noticeable performance gains through the use of probabilistic tokenizations, an approach that involves employing multiple tokenizations of the same input string during the training phase of a language model.…

Computation and Language · Computer Science 2024-07-08 Ashutosh Sathe , Divyanshu Aggarwal , Sunayana Sitaram

Large Language Models (LLMs) have demonstrated strong performance in handling complex tasks requiring both extensive knowledge and reasoning abilities. However, the existing LLM inference pipeline operates as an opaque process without…

Computation and Language · Computer Science 2025-05-16 Mingyu Jin , Weidi Luo , Sitao Cheng , Xinyi Wang , Wenyue Hua , Ruixiang Tang , William Yang Wang , Yongfeng Zhang

Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning. On the other hand, these reasoning tasks are usually presumed to be more approachable for…

Computation and Language · Computer Science 2024-03-29 Yi-Fan Zhang , Hanlin Zhang , Li Erran Li , Eric Xing

Large Language Models (LLMs) display striking surface fluency yet systematically fail at tasks requiring symbolic reasoning, arithmetic accuracy, and logical consistency. This paper offers a structural diagnosis of such failures, revealing…

Artificial Intelligence · Computer Science 2025-11-17 Zheng Zhang

Large language models (LLMs), in conjunction with various reasoning reinforcement methodologies, have demonstrated remarkable capabilities comparable to humans in fields such as mathematics, law, coding, common sense, and world knowledge.…

Artificial Intelligence · Computer Science 2024-03-28 Chuwen Wang , Shirong Zeng , Cheng Wang

Large language models (LLMs) have achieved remarkable performance in generating human-like text and solving reasoning tasks of moderate complexity, such as question-answering and mathematical problem-solving. However, their capabilities in…

Computation and Language · Computer Science 2025-02-21 Cole Gawin , Yidan Sun , Mayank Kejriwal

A robust decision-making process must take into account uncertainty, especially when the choice involves inherent risks. Because artificial Intelligence (AI) systems are increasingly integrated into decision-making workflows, managing…

Artificial Intelligence · Computer Science 2026-04-17 Richard Servajean , Philippe Servajean

Identifying bias in LLMs is ongoing. Because they are still in development, what is true today may be false tomorrow. We therefore need general strategies for debiasing that will outlive current models. Strategies developed for debiasing…

Artificial Intelligence · Computer Science 2025-07-15 Thomas T. Hills

Large language models (LLMs) have seen considerable advancements in natural language understanding tasks, yet there remains a gap to bridge before attaining true artificial general intelligence, especially concerning shortcomings in…

Computation and Language · Computer Science 2024-02-23 Minpeng Liao , Wei Luo , Chengxi Li , Jing Wu , Kai Fan

Multi-step spatial reasoning entails understanding and reasoning about spatial relationships across multiple sequential steps, which is crucial for tackling complex real-world applications, such as robotic manipulation, autonomous…

Artificial Intelligence · Computer Science 2025-06-23 Kexian Tang , Junyao Gao , Yanhong Zeng , Haodong Duan , Yanan Sun , Zhening Xing , Wenran Liu , Kaifeng Lyu , Kai Chen

We propose novel evaluations for mathematical reasoning capabilities of Large Language Models (LLMs) based on mathematical misconceptions. Our primary approach is to simulate LLMs as a novice learner and an expert tutor, aiming to identify…

Computation and Language · Computer Science 2023-10-05 Naiming Liu , Shashank Sonkar , Zichao Wang , Simon Woodhead , Richard G. Baraniuk

Prompting techniques have significantly enhanced the capabilities of Large Language Models (LLMs) across various complex tasks, including reasoning, planning, and solving math word problems. However, most research has predominantly focused…

Computation and Language · Computer Science 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

Large Language Models (LLMs) have revolutionized natural language processing and demonstrated impressive capabilities in various tasks. Unfortunately, they are prone to hallucinations, where the model exposes incorrect or false information…

Computation and Language · Computer Science 2023-10-13 Patrik Puchert , Poonam Poonam , Christian van Onzenoodt , Timo Ropinski

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

Allocating more compute to large language models (LLMs) reasoning has generally been demonstrated to improve their effectiveness, but also results in increased inference time. In contrast, humans can perform tasks faster and better with…

Machine Learning · Computer Science 2025-05-28 Bo Pan , Liang Zhao

While state-of-the-art LLMs have shown poor logical and basic mathematical reasoning, recent works try to improve their problem-solving abilities using prompting techniques. We propose giving "hints" to improve the language model's…

Computation and Language · Computer Science 2024-11-12 Vansh Agrawal , Pratham Singla , Amitoj Singh Miglani , Shivank Garg , Ayush Mangal

Large Language Models (LLMs) have shown superior capability to solve reasoning problems with programs. While being a promising direction, most of such frameworks are trained and evaluated in settings with a prior knowledge of task…

Computation and Language · Computer Science 2024-06-21 Yuan Yang , Siheng Xiong , Ali Payani , Ehsan Shareghi , Faramarz Fekri