Hyperboloid Embeddings

HypE, also known as Hyperboloid Embeddings, is a self-supervised dynamic reasoning framework that creates representations of entities and relations in a Knowledge Graph (KG). By utilizing positive first-order existential queries, HypE can learn these representations as hyperboloids in a Poincaré ball.

How HypE Works

The queries used by HypE are translated geometrically as translation (t), intersection ($\cap$), and union ($\cup$) and the result is a model that significantly outperforms existing state-of-the-art results in the problem of KG reasoning in real-world datasets. In fact, HypE can even be applied to an anomaly detection task on a popular e-commerce website product taxonomy or hierarchically organized web articles and demonstrates significant performance improvements compared to existing baseline methods.

Visualizing HypE Embeddings

An important aspect of HypE is its ability to visualize its entity and relation representations in a Poincaré ball. This allows for clear interpretation and comprehension of the representation space to better understand how HypE is making its decisions.

The Benefits of HypE

Overall, HypE is a powerful tool for dynamic reasoning and creating representations of entities and relations in KGs. Its self-supervised approach means that it can be applied to a variety of tasks and datasets without the need for labeled data, and its success in improving performance on real-world problems has proven its effectiveness. Additionally, the ability to easily visualize these representations makes it a valuable tool for knowledge discovery and interpretation.

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