论文标题
箭袋信号处理（QSP）
Quiver Signal Processing (QSP)
论文作者
论文摘要
在本文中，我们指出了箭袋表示信号处理框架的基础知识。 Quiver是一个有向图，箭量表示是向量空间分配到图形节点和与节点相关的向量空间之间的线性图的分配。利用表示理论的工具，我们提出了一个信号处理框架，该框架使我们能够处理网络中的异质多维信息。我们提供了一组示例，该框架提供了一组自然的工具来了解信息中明显隐藏的结构。我们指出的是，所提出的框架指出了构建图形神经网络的基础，在该基础上可以以其他方式处理和处理信息。
In this paper we state the basics for a signal processing framework on quiver representations. A quiver is a directed graph and a quiver representation is an assignment of vector spaces to the nodes of the graph and of linear maps between the vector spaces associated to the nodes. Leveraging the tools from representation theory, we propose a signal processing framework that allows us to handle heterogeneous multidimensional information in networks. We provide a set of examples where this framework provides a natural set of tools to understand apparently hidden structure in information. We remark that the proposed framework states the basis for building graph neural networks where information can be processed and handled in alternative ways.
