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Mathematical reasoning in Large Language Models (LLMs) is often evaluated using benchmarks with limited numerical ranges, failing to reflect real-world problem-solving across diverse scales. Furthermore, most existing evaluation methods…

Machine Learning · Computer Science 2025-02-14 Safal Shrestha , Minwu Kim , Keith Ross

Large language models (LLMs) have achieved impressive performance across various mathematical reasoning benchmarks. However, there are increasing debates regarding whether these models truly understand and apply mathematical knowledge or…

Computation and Language · Computer Science 2024-07-03 Qintong Li , Leyang Cui , Xueliang Zhao , Lingpeng Kong , Wei Bi

This study investigates the reasoning robustness of large language models (LLMs) on mathematical problem-solving tasks under systematically introduced input perturbations. Using the GSM8K dataset as a controlled testbed, we evaluate how…

Artificial Intelligence · Computer Science 2025-04-04 Giannis Chatziveroglou , Richard Yun , Maura Kelleher

Long-context large language models (LC LLMs) promise to increase reliability of LLMs in real-world tasks requiring processing and understanding of long input documents. However, this ability of LC LLMs to reliably utilize their growing…

Computation and Language · Computer Science 2024-12-23 Lavanya Gupta , Saket Sharma , Yiyun Zhao

Recent advancements in Large Language Models (LLMs) have sparked interest in their formal reasoning capabilities, particularly in mathematics. The GSM8K benchmark is widely used to assess the mathematical reasoning of models on…

Machine Learning · Computer Science 2025-08-28 Iman Mirzadeh , Keivan Alizadeh , Hooman Shahrokhi , Oncel Tuzel , Samy Bengio , Mehrdad Farajtabar

Large language models (LLMs) have achieved substantial progress in processing long contexts but still struggle with long-context reasoning. Existing approaches typically involve fine-tuning LLMs with synthetic data, which depends on…

Computation and Language · Computer Science 2024-11-14 Siheng Li , Cheng Yang , Zesen Cheng , Lemao Liu , Mo Yu , Yujiu Yang , Wai Lam

The long-context capabilities of large language models (LLMs) have been a hot topic in recent years. To evaluate the performance of LLMs in different scenarios, various assessment benchmarks have emerged. However, as most of these…

Computation and Language · Computer Science 2025-08-14 Shawn Gavin , Tuney Zheng , Jiaheng Liu , Quehry Que , Noah Wang , Jian Yang , Chenchen Zhang , Wenhao Huang , Ge Zhang

Today's large language models (LLMs) typically train on short text segments (e.g., <4K tokens) due to the quadratic complexity of their Transformer architectures. As a result, their performance suffers drastically on inputs longer than…

Computation and Language · Computer Science 2024-06-26 Chi Han , Qifan Wang , Hao Peng , Wenhan Xiong , Yu Chen , Heng Ji , Sinong Wang

Large language models (LLMs) have demonstrated remarkable progress in understanding long-context inputs. However, benchmarks for evaluating the long-context reasoning abilities of LLMs fall behind the pace. Existing benchmarks often focus…

Computation and Language · Computer Science 2025-11-19 Zhan Ling , Kang Liu , Kai Yan , Yifan Yang , Weijian Lin , Ting-Han Fan , Lingfeng Shen , Zhengyin Du , Jiecao Chen

Recent research has highlighted that Large Language Models (LLMs), even when trained to generate extended long reasoning steps, still face significant challenges on hard reasoning problems. However, much of the existing literature relies on…

Artificial Intelligence · Computer Science 2025-05-29 Fanzeng Xia , Yidong Luo , Tinko Sebastian Bartels , Yaqi Xu , Tongxin Li

Recent large language models (LLMs) have demonstrated versatile capabilities in long-context scenarios. Although some recent benchmarks have been developed to evaluate the long-context capabilities of LLMs, there is a lack of benchmarks…

Computation and Language · Computer Science 2024-10-08 Lei Wang , Shan Dong , Yuhui Xu , Hanze Dong , Yalu Wang , Amrita Saha , Ee-Peng Lim , Caiming Xiong , Doyen Sahoo

In this paper, we explore the challenges inherent to Large Language Models (LLMs) like GPT-4, particularly their propensity for hallucinations, logic mistakes, and incorrect conclusions when tasked with answering complex questions. The…

Computation and Language · Computer Science 2023-12-22 Xiang Li , Haoran Tang , Siyu Chen , Ziwei Wang , Anurag Maravi , Marcin Abram

Large Language Models (LLMs) demonstrate substantial potential across a diverse array of domains via request serving. However, as trends continue to push for expanding context sizes, the autoregressive nature of LLMs results in highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-08 Bin Lin , Chen Zhang , Tao Peng , Hanyu Zhao , Wencong Xiao , Minmin Sun , Anmin Liu , Zhipeng Zhang , Lanbo Li , Xiafei Qiu , Shen Li , Zhigang Ji , Tao Xie , Yong Li , Wei Lin

Recently, large language models (LLMs) have shown remarkable capabilities including understanding context, engaging in logical reasoning, and generating responses. However, this is achieved at the expense of stringent computational and…

Computation and Language · Computer Science 2024-05-30 Xindi Wang , Mahsa Salmani , Parsa Omidi , Xiangyu Ren , Mehdi Rezagholizadeh , Armaghan Eshaghi

Causal reasoning capabilities are essential for large language models (LLMs) in a wide range of applications, such as education and healthcare. But there is still a lack of benchmarks for a better understanding of such capabilities. Current…

Computation and Language · Computer Science 2024-12-25 Ruibo Tu , Hedvig Kjellström , Gustav Eje Henter , Cheng Zhang

Large language models (LLMs) have shown significant progress in reasoning tasks. However, recent studies show that transformers and LLMs fail catastrophically once reasoning problems exceed modest complexity. We revisit these findings…

Artificial Intelligence · Computer Science 2025-10-28 Revanth Rameshkumar , Jimson Huang , Yunxin Sun , Fei Xia , Abulhair Saparov

Recent work has demonstrated the remarkable potential of Large Language Models (LLMs) in test-time scaling. By making models think before answering, they are able to achieve much higher accuracy with extra inference computation. However, in…

Artificial Intelligence · Computer Science 2025-05-22 Yi Sun , Han Wang , Jiaqiang Li , Jiacheng Liu , Xiangyu Li , Hao Wen , Yizhen Yuan , Huiwen Zheng , Yan Liang , Yuanchun Li , Yunxin Liu

Large language models (LLMs) can solve problems step-by-step. While this chain-of-thought (CoT) reasoning boosts LLMs' performance, it is unclear if LLMs \textit{know} when to use CoT and whether those CoT are always necessary to answer the…

Computation and Language · Computer Science 2024-03-21 Cheng-Han Chiang , Hung-yi Lee

Large language models (LLMs) have revolutionized many areas (e.g. natural language processing, software engineering, etc.) by achieving state-of-the-art performance on extensive downstream tasks. Aiming to achieve robust and general…

Artificial Intelligence · Computer Science 2024-01-18 Zhiming Li , Yushi Cao , Xiufeng Xu , Junzhe Jiang , Xu Liu , Yon Shin Teo , Shang-wei Lin , Yang Liu

Large Language Models (LLMs) have demonstrated remarkable capabilities in comprehending and analyzing lengthy sequential inputs, owing to their extensive context windows that allow processing millions of tokens in a single forward pass.…

Computation and Language · Computer Science 2024-12-23 Peyman Hosseini , Ignacio Castro , Iacopo Ghinassi , Matthew Purver
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