MathD2: Towards Disambiguation of Mathematical Terms

In mathematical literature, terms can have multiple meanings based on context.Manual term disambiguation across scholarly articles demands massive efforts from mathematicians.This paper addresses the challenge of automatically determining whether two or more definitions of a mathematical term are semantically different.Specifically, the difficulties of understanding how contextualized textual representation can help solve the problem are investigated.A new dataset MathD2 for mathematical term disambiguation is constructed with ProofWiki's disambiguation pages.Then three approaches based on contextualized textual representation are studied: (1) supervised classification based on the embeddings of concatenated definitions and titles; (2) zero-shot prediction based on semantic textual similarity (STS) between definition and title and (3) zeroshot LLM prompting.The first two approaches achieve accuracy greater than 0.9 on the ground truth dataset, demonstrating the effectiveness of our methods for automatic disambiguation of mathematical definitions.Our dataset and source code are available here:

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Published
2025-01-01
DOI
https://doi.org/10.18653/v1/2025.sdp-1.3
Primary Topic
Mathematics, Computing, and Information Processing
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article
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MathD2: Towards Disambiguation of Mathematical Terms

Shufan Jiang, Mary Ann Tan, Harald Sack
Mathematics, Computing, and Information Processing
article

MathD2: Towards Disambiguation of Mathematical Terms

Shufan Jiang, Mary Ann Tan, Harald Sack
article en

Abstract

In mathematical literature, terms can have multiple meanings based on context.Manual term disambiguation across scholarly articles demands massive efforts from mathematicians.This paper addresses the challenge of automatically determining whether two or more definitions of a mathematical term are semantically different.Specifically, the difficulties of understanding how contextualized textual representation can help solve the problem are investigated.A new dataset MathD2 for mathematical term disambiguation is constructed with ProofWiki's disambiguation pages.Then three approaches based on contextualized textual representation are studied: (1) supervised classification based on the embeddings of concatenated definitions and titles; (2) zero-shot prediction based on semantic textual similarity (STS) between definition and title and (3) zeroshot LLM prompting.The first two approaches achieve accuracy greater than 0.9 on the ground truth dataset, demonstrating the effectiveness of our methods for automatic disambiguation of mathematical definitions.Our dataset and source code are available here:

FIZ Karlsruhe – Leibniz Institute for Information Infrastructure (DE)
Quality Education
Openalex Percentile: Top 79%
Mathematics, Computing, and Information Processing
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MathD2: Towards Disambiguation of Mathematical Terms — Shufan Jiang, Mary Ann Tan, et al. · (2025) | TGRS Research Map | TGRS