论文标题
通过关节延迟嵌入的几何融合
Geometric Fusion via Joint Delay Embeddings
论文作者
论文摘要
我们介绍了几何和拓扑方法，以开发一个融合多传感器时间序列的新框架。该框架由两个步骤组成：（1）关节延迟嵌入，它重建了一个高维状态空间，其中我们的传感器对应于观察功能，以及（2）一种简单的正交方案，说明了这种观察功能之间的交接，并在嵌入空间上产生更多元化的几何形状。我们以一些合成和现实世界的实验结束，表明我们的框架的表现优于传统的度量融合方法。
We introduce geometric and topological methods to develop a new framework for fusing multi-sensor time series. This framework consists of two steps: (1) a joint delay embedding, which reconstructs a high-dimensional state space in which our sensors correspond to observation functions, and (2) a simple orthogonalization scheme, which accounts for tangencies between such observation functions, and produces a more diversified geometry on the embedding space. We conclude with some synthetic and real-world experiments demonstrating that our framework outperforms traditional metric fusion methods.
