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Do the Math: Making Mathematics in Wikipedia Computable
Summary
This study introduces a new method to make mathematical formulas computable, enabling automatic plausibility checks for algebraic correctness. This advances the searchability and readability of mathematical content on Wikipedia.
Area of Science:
- Computer Science
- Computational Mathematics
- Digital Libraries
Background:
- Wikipedia employs AI and human reviewers for article quality control, covering edits, typos, and formatting.
- Automated quality control for mathematical formulae is currently lacking, unlike text-based spell checkers.
Purpose of the Study:
- To address the absence of automated quality control for mathematical formulae.
- To make mathematical formulae computable for enhanced verification and accessibility.
Main Methods:
- Gathering semantic information surrounding mathematical formulae.
- Organizing this information into a graph-structured dependency hierarchy.
- Implementing automatic plausibility checks for equations.
Main Results:
- The system verified 358 out of 1,516 equations as error-free in Wikipedia articles.
- It successfully translated 27% of mathematical expressions, outperforming existing methods by 16%.
- Achieved an F1 score of 0.495 for annotating formulae with textual descriptions.
Conclusions:
- The developed method significantly improves the searchability, readability, and accessibility of mathematical content.
- This represents a substantial advancement in automated quality control for mathematical expressions in digital encyclopedias.
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