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相关论文: Modular Arithmetic: Language Models Solve Math Dig…

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Large language models (LLMs) frequently make errors when handling even simple numerical problems, such as comparing two small numbers. A natural hypothesis is that these errors stem from how LLMs represent numbers, and specifically, whether…

机器学习 · 计算机科学 2025-02-04 Amit Arnold Levy , Mor Geva

The ability (and inability) of large language models (LLMs) to perform arithmetic tasks has been the subject of much theoretical and practical debate. We show that LLMs are frequently able to correctly and confidently predict the first…

机器学习 · 计算机科学 2024-06-05 Andrew Gambardella , Yusuke Iwasawa , Yutaka Matsuo

Large language models (LLMs) have demonstrated remarkable potential across numerous applications and have shown an emergent ability to tackle complex reasoning tasks, such as mathematical computations. However, even for the simplest…

计算与语言 · 计算机科学 2024-09-04 Wei Zhang , Chaoqun Wan , Yonggang Zhang , Yiu-ming Cheung , Xinmei Tian , Xu Shen , Jieping Ye

Do large language models (LLMs) solve reasoning tasks by learning robust generalizable algorithms, or do they memorize training data? To investigate this question, we use arithmetic reasoning as a representative task. Using causal analysis,…

计算与语言 · 计算机科学 2025-05-21 Yaniv Nikankin , Anja Reusch , Aaron Mueller , Yonatan Belinkov

Large language models (LLMs) have demonstrated impressive capabilities, yet their internal mechanisms for handling reasoning-intensive tasks remain underexplored. To advance the understanding of model-internal processing mechanisms, we…

计算与语言 · 计算机科学 2026-04-20 Tanja Baeumel , Josef van Genabith , Simon Ostermann

Large language models (LLMs) have demonstrated remarkable mathematical capabilities, largely driven by chain-of-thought (CoT) prompting, which decomposes complex reasoning into step-by-step solutions. This approach has enabled significant…

机器学习 · 计算机科学 2025-04-22 Fu-Chieh Chang , You-Chen Lin , Pei-Yuan Wu

Due to the size and complexity of modern large language models (LLMs), it has proven challenging to uncover the underlying mechanisms that models use to solve reasoning problems. For instance, is their reasoning for a specific problem…

机器学习 · 计算机科学 2025-06-23 Guan Zhe Hong , Nishanth Dikkala , Enming Luo , Cyrus Rashtchian , Xin Wang , Rina Panigrahy

Mathematical reasoning is an increasingly important indicator of large language model (LLM) capabilities, yet we lack understanding of how LLMs process even simple mathematical tasks. To address this, we reverse engineer how three mid-sized…

人工智能 · 计算机科学 2025-02-04 Subhash Kantamneni , Max Tegmark

Recent studies have shown that Large Language Models (LLMs) can achieve strong reasoning performance by incorporating functional symbolic representations that abstractly describe graph traversal algorithms and step-by-step reasoning in…

人工智能 · 计算机科学 2026-05-28 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

Recent advancements in pretraining have demonstrated that modern Large Language Models (LLMs) possess the capability to effectively learn arithmetic operations. However, despite acknowledging the significance of digit order in arithmetic…

计算与语言 · 计算机科学 2024-03-12 Daniel Zhang-Li , Nianyi Lin , Jifan Yu , Zheyuan Zhang , Zijun Yao , Xiaokang Zhang , Lei Hou , Jing Zhang , Juanzi Li

Across languages, numeral systems vary widely in how they construct and combine numbers. While humans consistently learn to navigate this diversity, large language models (LLMs) struggle with linguistic-mathematical puzzles involving…

计算与语言 · 计算机科学 2025-10-16 Antara Raaghavi Bhattacharya , Isabel Papadimitriou , Kathryn Davidson , David Alvarez-Melis

Language models struggle with handling numerical data and performing arithmetic operations. We hypothesize that this limitation can be partially attributed to non-intuitive textual numbers representation. When a digit is read or generated…

计算与语言 · 计算机科学 2024-09-27 Eli Schwartz , Leshem Choshen , Joseph Shtok , Sivan Doveh , Leonid Karlinsky , Assaf Arbelle

Mathematical reasoning in large language models (LMs) has garnered significant attention in recent work, but there is a limited understanding of how these models process and store information related to arithmetic tasks within their…

计算与语言 · 计算机科学 2023-10-23 Alessandro Stolfo , Yonatan Belinkov , Mrinmaya Sachan

Although large language models (LLMs) are increasingly capable, these capabilities are unevenly distributed: they excel at formal linguistic tasks, such as producing fluent, grammatical text, but struggle more with functional linguistic…

计算与语言 · 计算机科学 2025-08-29 Michael Hanna , Yonatan Belinkov , Sandro Pezzelle

The association between language and (non-linguistic) thinking ability in humans has long been debated, and recently, neuroscientific evidence of brain activity patterns has been considered. Such a scientific context naturally raises an…

计算与语言 · 计算机科学 2025-02-18 Riku Kisako , Tatsuki Kuribayashi , Ryohei Sasano

The ability of large language models (LLMs) to validate their output and identify potential errors is crucial for ensuring robustness and reliability. However, current research indicates that LLMs struggle with self-correction, encountering…

计算与语言 · 计算机科学 2025-09-26 Leonardo Bertolazzi , Philipp Mondorf , Barbara Plank , Raffaella Bernardi

Large Language Models (LLMs) and transformer architectures have shown impressive reasoning and generation capabilities across diverse natural language tasks. However, their reliability and robustness in real-world engineering domains remain…

机器学习 · 计算机科学 2025-12-11 Yasaman Esfandiari , Jocelyn Rego , Austin Meyer , Jonathan Gallagher , Mia Levy

Large Language Models (LLMs) have demonstrated the ability to solve complex tasks through In-Context Learning (ICL), where models learn from a few input-output pairs without explicit fine-tuning. In this paper, we explore the capacity of…

机器学习 · 计算机科学 2024-11-26 Paimon Goulart , Evangelos E. Papalexakis

Large language models (LLMs) exhibit remarkable capabilities on not just language tasks, but also various tasks that are not linguistic in nature, such as logical reasoning and social inference. In the human brain, neuroscience has…

计算与语言 · 计算机科学 2025-02-14 Badr AlKhamissi , Greta Tuckute , Antoine Bosselut , Martin Schrimpf

Recent work has shown that large pretrained Language Models (LMs) can not only perform remarkably well on a range of Natural Language Processing (NLP) tasks but also start improving on reasoning tasks such as arithmetic induction, symbolic…

计算与语言 · 计算机科学 2022-08-11 Jing Qian , Hong Wang , Zekun Li , Shiyang Li , Xifeng Yan
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