Matrix completion models are among the most common formulations of
recommender systems. Recent works have showed a boost of performance of these
techniques when introducing the pairwise relationships between users/items in
the form of graphs, and imposing smoothness priors on these graphs. However,
such techniques do not fully exploit the local stationarity structures of
user/item graphs, and the number of parameters to learn is linear w.r.t. the
number of users and items. We propose a novel approach to overcome these
limitations by using geometric deep learning on graphs. Our matrix completion
architecture combines graph convolutional neural networks and recurrent neural
networks to learn meaningful statistical graph-structured patterns and the
non-linear diffusion process that generates the known ratings. This neural
network system requires a constant number of parameters independent of the
matrix size. We apply our method on both synthetic and real datasets, showing
that it outperforms state-of-the-art techniques.

本研究介绍了一种使用几何深度学习处理用户 / 项目对之间局部稳定性结构的新方法。矩阵完成架构结合了图卷积神经网络和循环神经网络，以学习有意义的统计图结构模式和非线性扩散过程，从而生成已知的评分，具有与矩阵大小无关的恒定参数数量。在合成数据和真实数据集上进行了实验，表明该方法优于现有技术。