HyperML: A Boosting Metric Learning Approach in Hyperbolic Space for Recommender Systems

Abstract

This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius gyrovector spaces where the formalism of the spaces could be utilized to generalize the most common Euclidean vector operations. Overall, this work aims to bridge the gap between Euclidean and hyperbolic geometry in recommender systems through metric learning approach. We propose HyperML (Hyperbolic Metric Learning), a conceptually simple but highly effective model for boosting the performance. Via a series of extensive experiments, we show that our proposed HyperML not only outperforms their Euclidean counterparts, but also achieves state-of-the-art performance on multiple benchmark datasets, demonstrating the effectiveness of personalized recommendation in hyperbolic geometry.

arXiv commentAccepted at WSDM 2020

References in corpus (5)

• BPR: Bayesian Personalized Ranking from Implicit Feedback
• Hyperbolic Geometry of Complex Networks
• Poincaré GloVe: Hyperbolic Word Embeddings
• Riemannian Adaptive Optimization Methods
• Gradient descent in hyperbolic space

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• HICF: Hyperbolic Informative Collaborative Filtering
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• The Fallacy of Borda Count Method -- Why it is Useless with Group Intelligence and Shouldn't be Used with Big Data including Banking Customer Services