Papers by Sahar Vahdati

2 papers
Knowledge Graph Representation Learning using Ordinary Differential Equations (2021.emnlp-main)

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Challenge: Knowledge Graph Embeddings (KGEs) map entities and relations from knowledge graphs into a geometric space.
Approach: They propose a neuro differential KGE that embeds nodes of a KG on the trajectories of Ordinary Differential Equations (ODEs) they represent each relation (edge) in a knowledge graph as a vector field on several manifolds.
Outcome: The proposed model can preserve graph characteristics including structural aspects and semantics and avoid wrong inferences.
Knowledge GeoGebra: Leveraging Geometry of Relation Embeddings in Knowledge Graph Completion (2024.lrec-main)

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Challenge: Knowledge graph embedding models are limited to the algebra and geometry of the entity embeddable space, the algebra of the relation embeddible space, and the interaction between relation and entity embeds.
Approach: They propose a method that leverages the geometry of relation embeddings and generalizes it with the concept of a butterfly curve, consecutively.
Outcome: The proposed model outperforms existing models on the WN18RR, FB15K-237 and YouTube benchmarks.

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