Layout-based substitution tree indexing and retrieval for mathematical expressions

Thomas Schellenberg; Bo Yuan; Richard Zanibbi

doi:10.1117/12.912502

23 January 2012 Layout-based substitution tree indexing and retrieval for mathematical expressions

Thomas Schellenberg, Bo Yuan, Richard Zanibbi

Proceedings Volume 8297, Document Recognition and Retrieval XIX; 82970I (2012) https://doi.org/10.1117/12.912502
Event: IS&T/SPIE Electronic Imaging, 2012, Burlingame, California, United States

Abstract

We introduce a new system for layout-based (LATEX) indexing and retrieval of mathematical expressions using substitution trees. Substitution trees can efficiently store and find expressions based on the similarity of their symbols, symbol layout, sub-expressions and size. We describe our novel implementation and some of our modifications to the substitution tree indexing and retrieval algorithms. We provide an experiment testing our system against the TF-IDF keyword-based system of Zanibbi and Yuan and demonstrate that, in many cases, the quality of search results returned by both systems is comparable (overall means, substitution tree vs. keywordbased: 100% vs. 89% for top 1; 48% vs. 51% for top 5; 22% vs. 28% for top 20). Overall, we present a promising first attempt at layout-based substitution tree indexing and retrieval for mathematical expressions and believe that this method will prove beneficial to the field of mathematical information retrieval.

Citation Download Citation

Thomas Schellenberg, Bo Yuan, and Richard Zanibbi "Layout-based substitution tree indexing and retrieval for mathematical expressions", Proc. SPIE 8297, Document Recognition and Retrieval XIX, 82970I (23 January 2012); https://doi.org/10.1117/12.912502

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