NUMCoT: Numerals and Units of Measurement in Chain-of-Thought Reasoning using Large Language Models

Fuente: arXiv
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Auteurs principaux: Xu, Ancheng, Tan, Minghuan, Wang, Lei, Yang, Min, Xu, Ruifeng
Format: Preprint
Publié: 2024
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author Xu, Ancheng
Tan, Minghuan
Wang, Lei
Yang, Min
Xu, Ruifeng
author_facet Xu, Ancheng
Tan, Minghuan
Wang, Lei
Yang, Min
Xu, Ruifeng
contents Numeral systems and units of measurement are two conjoined topics in activities of human beings and have mutual effects with the languages expressing them. Currently, the evaluation of Large Language Models (LLMs) often involves mathematical reasoning, yet little attention is given to how minor changes in numbers or units can drastically alter the complexity of problems and the performance of LLMs. In this paper, we scrutinize existing LLMs on processing of numerals and units of measurement by constructing datasets with perturbations. We first anatomize the reasoning of math word problems to different sub-procedures like numeral conversions from language to numbers and measurement conversions based on units. Then we further annotate math word problems from ancient Chinese arithmetic works which are challenging in numerals and units of measurement. Experiments on perturbed datasets demonstrate that LLMs still encounter difficulties in handling numeral and measurement conversions.
format Preprint
id arxiv_https___arxiv_org_abs_2406_02864
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle NUMCoT: Numerals and Units of Measurement in Chain-of-Thought Reasoning using Large Language Models
Xu, Ancheng
Tan, Minghuan
Wang, Lei
Yang, Min
Xu, Ruifeng
Computation and Language
Artificial Intelligence
Numeral systems and units of measurement are two conjoined topics in activities of human beings and have mutual effects with the languages expressing them. Currently, the evaluation of Large Language Models (LLMs) often involves mathematical reasoning, yet little attention is given to how minor changes in numbers or units can drastically alter the complexity of problems and the performance of LLMs. In this paper, we scrutinize existing LLMs on processing of numerals and units of measurement by constructing datasets with perturbations. We first anatomize the reasoning of math word problems to different sub-procedures like numeral conversions from language to numbers and measurement conversions based on units. Then we further annotate math word problems from ancient Chinese arithmetic works which are challenging in numerals and units of measurement. Experiments on perturbed datasets demonstrate that LLMs still encounter difficulties in handling numeral and measurement conversions.
title NUMCoT: Numerals and Units of Measurement in Chain-of-Thought Reasoning using Large Language Models
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2406.02864