论文标题
几何矩阵完成：功能视图
Geometric Matrix Completion: A Functional View
论文作者
论文摘要
我们提出了几何矩阵完成问题的完全功能视图。与现有工作不同，我们提出了一种从功能地图文献中灵感启发的新颖正则化，从理论上讲是更容易解释的。在具有强大基础几何结构的合成任务上，我们的框架以巨大的边距（两个数量级）优于艺术状态，这表明了我们方法的潜力。在实际数据集上，我们以先前方法的计算工作的一小部分获得最新的结果。我们的代码可在https://github.com/not-iitian/functional-matrix-completion上公开获取
We propose a totally functional view of geometric matrix completion problem. Differently from existing work, we propose a novel regularization inspired from the functional map literature that is more interpretable and theoretically sound. On synthetic tasks with strong underlying geometric structure, our framework outperforms state of the art by a huge margin (two order of magnitude) demonstrating the potential of our approach. On real datasets, we achieve state-of-the-art results at a fraction of the computational effort of previous methods. Our code is publicly available at https://github.com/Not-IITian/functional-matrix-completion
