Title
EL Embeddings: Geometric construction of models for the Description Logic EL ++.
Abstract
An embedding is a function that maps entities from one algebraic structure into another while preserving certain characteristics. Embeddings are being used successfully for mapping relational data or text into vector spaces where they can be used for machine learning, similarity search, or similar tasks. We address the problem of finding vector space embeddings for theories in the Description Logic $mathcal{EL}^{++}$ that are also models of the TBox. To find such embeddings, we define an optimization problem that characterizes the model-theoretic semantics of the operators in $mathcal{EL}^{++}$ within $Re^n$, thereby solving the problem of finding an interpretation function for an $mathcal{EL}^{++}$ theory given a particular domain $Delta$. Our approach is mainly relevant to large $mathcal{EL}^{++}$ theories and knowledge bases such as the ontologies and knowledge graphs used in the life sciences. We demonstrate that our method can be used for improved prediction of protein--protein interactions when compared to semantic similarity measures or knowledge graph embedding
Year
DOI
Venue
2019
10.24963/ijcai.2019/845
IJCAI
Field
DocType
Volume
Semantic similarity,Data mining,Discrete mathematics,Vector space,Embedding,Computer science,Algebraic structure,Description logic,Operator (computer programming),Optimization problem,Nearest neighbor search
Journal
abs/1902.10499
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Maxat Kulmanov1383.86
Wang Liu-Wei200.68
Yuan Yan300.68
Robert Hoehndorf466753.18