Title
A lattice-based approach for mathematical search using Formal Concept Analysis
Abstract
Mathematical (or math) search is a challenging problem as math expressions are highly symbolic and structured. The vast majority of math search systems that adopt conventional text retrieval techniques are ineffective in searching math expressions. In this paper, we propose a lattice-based approach for math search. The proposed approach is based on Formal Concept Analysis (FCA), which is a powerful data analysis technique. In the proposed approach, math expressions are first converted into the corresponding MathML representation, from which math features are extracted. Next, the extracted features are used to construct a mathematical concept lattice. At the query time, the query expression is processed and inserted into the mathematical concept lattice, and the relevant expressions are retrieved and ranked. Finally, search results can be visualized and nevigated via a dynamic graph, thanks to the lattice structure. The proposed lattice-based math search approach is benchmarked against a conventional best match retrieval technique and results show it to be almost 10% better in terms of F1 for the top 30 retrieved results.
Year
DOI
Venue
2012
10.1016/j.eswa.2011.11.085
Expert Syst. Appl.
Keywords
Field
DocType
lattice-based approach,math search,mathematical concept lattice,formal concept analysis,math search system,proposed lattice-based math search,mathematical search,math feature,math expression,lattice structure,search result
Graph,Lattice (order),Expression (mathematics),Ranking,Computer science,Algorithm,Theoretical computer science,Artificial intelligence,Formal concept analysis,Text retrieval,Machine learning,MathML
Journal
Volume
Issue
ISSN
39
5
0957-4174
Citations 
PageRank 
References 
17
0.74
15
Authors
3
Name
Order
Citations
PageRank
Tam T. Nguyen1786.79
Siu Cheung Hui2110686.71
Kuiyu Chang391760.50