论文标题

在顶级建议任务上的双曲几何模型的性能

Performance of Hyperbolic Geometry Models on Top-N Recommendation Tasks

论文作者

Mirvakhabova, Leyla, Frolov, Evgeny, Khrulkov, Valentin, Oseledets, Ivan, Tuzhilin, Alexander

论文摘要

我们引入了一个基于双曲线几何形状的简单自动编码器,以解决标准协作过滤问题。与许多现代深度学习技术相反,我们仅使用单个隐藏层构建解决方案。值得注意的是,即使采用这种简约的方法,我们不仅要优于欧几里得的表现,而且还取得了当前最新的竞争性能。我们还探讨了空间曲率对双曲线模型质量的影响,并提出了一种有效的数据驱动方法来估计其最佳值。

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.

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