HyperML
Citations Over TimeTop 1% of 2020 papers
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.
Related Papers
- → The analytic continuation of hyperbolic space(2012)8 cited
- → On the unification of hyperbolic and euclidean geometry(2004)5 cited
- → On cusp regions associated to screw-parabolic maps(2017)2 cited
- Hyperbolic Geometry With and Without Models(2015)
- → A Poincaré ball model for taxicab hyperbolic geometry(2023)