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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…

Machine Learning · Computer Science 2024-06-05 Andrew Gambardella , Yusuke Iwasawa , Yutaka Matsuo

Large language models have emerged abilities including chain-of-thought to answer math word problems step by step. Solving math word problems not only requires abilities to disassemble problems via chain-of-thought but also needs to…

Computation and Language · Computer Science 2023-04-06 Zheng Yuan , Hongyi Yuan , Chuanqi Tan , Wei Wang , Songfang Huang

Large Language Models (LLMs) have demonstrated exceptional capabilities in various natural language tasks, often achieving performances that surpass those of humans. Despite these advancements, the domain of mathematics presents a…

Computation and Language · Computer Science 2024-04-02 Ankit Satpute , Noah Giessing , Andre Greiner-Petter , Moritz Schubotz , Olaf Teschke , Akiko Aizawa , Bela Gipp

In recent years, Large Language Models such as GPT-3 showed remarkable capabilities in performing NLP tasks in the zero and few shot settings. On the other hand, the experiments highlighted the difficulty of GPT-3 in carrying out tasks that…

Computation and Language · Computer Science 2023-04-24 Matteo Muffo , Aldo Cocco , Enrico Bertino

Can large language models be used to complete mathematical tasks that are traditionally performed either manually or with the aid of theorem provers? To answer this question, a state-of-the-art system, GPT-4, was provided with a concise…

Computation and Language · Computer Science 2023-05-23 Gregor vom Scheidt

The generative pre-trained transformer (GPT)-based chatbot software ChatGPT possesses excellent natural language processing capabilities but is inadequate for solving arithmetic problems, especially multiplication. Its GPT structure uses a…

Prior work has shown that finetuning large language models (LLMs) using machine-generated instruction-following data enables such models to achieve remarkable zero-shot capabilities on new tasks, and no human-written instructions are…

Computation and Language · Computer Science 2023-04-07 Baolin Peng , Chunyuan Li , Pengcheng He , Michel Galley , Jianfeng Gao

Despite significant advancements in text generation and reasoning, Large Language Models (LLMs) still face challenges in accurately performing complex arithmetic operations. Language model systems often enable LLMs to generate code for…

Computation and Language · Computer Science 2024-09-04 Owen Dugan , Donato Manuel Jimenez Beneto , Charlotte Loh , Zhuo Chen , Rumen Dangovski , Marin Soljačić

The rapid advancement of Large Language Models (LLMs) in the realm of mathematical reasoning necessitates comprehensive evaluations to gauge progress and inspire future directions. Existing assessments predominantly focus on problem-solving…

Computation and Language · Computer Science 2024-06-05 Xiaoyuan Li , Wenjie Wang , Moxin Li , Junrong Guo , Yang Zhang , Fuli Feng

We present the Chinese Elementary School Math Word Problems (CMATH) dataset, comprising 1.7k elementary school-level math word problems with detailed annotations, source from actual Chinese workbooks and exams. This dataset aims to provide…

Computation and Language · Computer Science 2023-06-30 Tianwen Wei , Jian Luan , Wei Liu , Shuang Dong , Bin Wang

Large language models (LLMs) have demonstrated remarkable potential in handling multilingual machine translation (MMT). In this paper, we systematically investigate the advantages and challenges of LLMs for MMT by answering two questions:…

Computation and Language · Computer Science 2024-06-17 Wenhao Zhu , Hongyi Liu , Qingxiu Dong , Jingjing Xu , Shujian Huang , Lingpeng Kong , Jiajun Chen , Lei Li

This paper presents an in-depth analysis of the performance of seven different Large Language Models (LLMs) in solving a diverse set of math advanced calculus problems. The study aims to evaluate these models' accuracy, reliability, and…

Computation and Language · Computer Science 2025-03-07 In Hak Moon

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

Quantum computing is an exciting non-Von Neumann paradigm, offering provable speedups over classical computing for specific problems. However, the practical limits of classical simulatability for quantum circuits remain unclear, especially…

Quantum Physics · Physics 2025-02-17 Haoran Wang , Pingzhi Li , Min Chen , Jinglei Cheng , Junyu Liu , Tianlong Chen

It has been suggested that large language models such as GPT-4 have acquired some form of understanding beyond the correlations among the words in text including some understanding of mathematics as well. Here, we perform a critical inquiry…

Machine Learning · Computer Science 2023-11-15 Roozbeh Yousefzadeh , Xuenan Cao

In this paper we look at the ability of recent large language models (LLMs) at solving mathematical problems in combinatorics. We compare models LLaMA-2, LLaMA-3.1, GPT-4, and Mixtral against each other and against human pupils and…

Computation and Language · Computer Science 2024-12-17 Andrii Nikolaiev , Yiannos Stathopoulos , Simone Teufel

The advent of large language models (LLMs) like GPT-4 has catalyzed the exploration of multi-task learning (MTL), in which a single model demonstrates proficiency across diverse tasks. Task arithmetic has emerged as a cost-effective…

Computation and Language · Computer Science 2024-06-28 Yuyan Zhou , Liang Song , Bingning Wang , Weipeng Chen

Large language models (LLMs) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific mathematical topics, and it remains unclear whether LLMs are…

Computation and Language · Computer Science 2025-04-01 Arash Gholami Davoodi , Seyed Pouyan Mousavi Davoudi , Pouya Pezeshkpour

We introduce Goat, a fine-tuned LLaMA model that significantly outperforms GPT-4 on a range of arithmetic tasks. Fine-tuned on a synthetically generated dataset, Goat achieves state-of-the-art performance on BIG-bench arithmetic sub-task.…

Machine Learning · Computer Science 2023-05-24 Tiedong Liu , Bryan Kian Hsiang Low

Solving arithmetic tasks is a simple and fundamental skill, yet modern Large Language Models (LLMs) have great difficulty with them. We introduce the Integrated Gated Calculator (IGC), a module that enables LLMs to perform arithmetic by…

Machine Learning · Computer Science 2025-01-03 Florian Dietz , Dietrich Klakow
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