# Performance of Hyperbolic Geometry Models on Top-N Recommendation Tasks

**Authors:** Leyla Mirvakhabova, Evgeny Frolov, Valentin Khrulkov, Ivan Oseledets, Alexander Tuzhilin  
**arXiv:** [2008.06716](https://arxiv.org/abs/2008.06716)  
**Date:** 2020-08-15  
**Summary page:** https://www.summarizepaper.com/fr/paper/2008.06716v1/

## Abstract

We introduce a simple autoencoder based on hyperbolic geometry for solving standard collaborative filtering problem. In contrast to many modern deep learning techniques, we build our solution using only a single hidden layer. Remarkably, even with such a minimalistic approach, we not only outperform the Euclidean counterpart but also achieve a competitive performance with respect to the current state-of-the-art. We additionally explore the effects of space curvature on the quality of hyperbolic models and propose an efficient data-driven method for estimating its optimal value.