Antisymmetry

About: Antisymmetry is a research topic. Over the lifetime, 214 publications have been published within this topic receiving 7914 citations.

Embedding Knowledge Graphs Based on Transitivity and Antisymmetry of Rules

Abstract: Representation learning of knowledge graphs encodes entities and relation types into a continuous low-dimensional vector space, learns embeddings of entities and relation types. Most existing methods only concentrate on knowledge triples, ignoring logic rules which contain rich background knowledge. Although there has been some work aiming at leveraging both knowledge triples and logic rules, they ignore the transitivity and antisymmetry of logic rules. In this paper, we propose a novel approach to learn knowledge representations with entities and ordered relations in knowledges and logic rules. The key idea is to integrate knowledge triples and logic rules, and approximately order the relation types in logic rules to utilize the transitivity and antisymmetry of logic rules. All entries of the embeddings of relation types are constrained to be non-negative. We translate the general constrained optimization problem into an unconstrained optimization problem to solve the non-negative matrix factorization. Experimental results show that our model significantly outperforms other baselines on knowledge graph completion task. It indicates that our model is capable of capturing the transitivity and antisymmetry information, which is significant when learning embeddings of knowledge graphs.

Hitz hurrenkera eta birregituraketa euskaraz

Abstract: The analysis focuses on those varieties of Basque that admit the participial dependent to occur either before or after the modal verb. It is shown that in these varieties, the syntactic position of the participial dependent correlates with differences in its internal structure: whereas participial dependents can correspond to TPs when they are located to the right of the modal verb in Basque (a typically SOV language), they cannot correspond to anything more complex than a small v structure when they surface to the left of the modal verb. Our analysis of the internal structure of participial dependents also extends to issues concerning the basic word order of Basque. It is claimed that the analysis presented here requires the auxiliary to be generated to the left of the verb phrase, as the antisymmetry hypothesis would posit.