Inducing Space Dirichlet Process Mixture Large-Margin Entity RelationshipInference in Knowledge Bases

In this paper, we focus on the problem of extending a given knowledge base by accurately predicting additional true facts based on the facts included in it. This is an essential problem of knowledge representation systems, since knowledge bases typically suffer from incompleteness and lack of ability to reason over their discrete entities and relationships. To achieve our goals, in our work we introduce an inducing space nonparametric Bayesian large-margin inference model, capable of reasoning over relationships between pairs of entities. Previous works addressing the entity relationship inference problem model each entity based on atomic entity vector representations. In contrast, our method exploits word feature vectors to directly obtain high-dimensional nonlinear inducing space representations for entity pairs. This way, we allow for extracting salient latent characteristics and interaction dynamics within entity pairs that can be useful for inferring their relationships. On this basis, our model performs the relations inference task by postulating a set of binary Dirichlet process mixture large-margin classifiers, presented with the derived inducing space representations of the considered entity pairs. Bayesian inference for this inducing space model is performed under the mean-field inference paradigm. This is made possible by leveraging a recently proposed latent variable formulation of regularized large-margin classifiers that facilitates mean-field parameter estimation. We exhibit the superiority of our approach over the state-of-the-art by considering the problem of predicting additional true relations between entities given subsets of the WordNet and FreeBase knowledge bases.