We introduce TopoX, a Python software suite that provides reliable and user-friendly building blocks for computing and machine learning on topological domains that extend graphs: hypergraphs, simplicial, cellular, path and combinatorial complexes. TopoX consists of three packages: TopoNetX facilitates constructing and computing on these domains, including working with nodes, edges and higher-order cells; TopoEmbedX provides methods to embed topological domains into vector spaces, akin to popular graph-based embedding algorithms such as node2vec; TopoModelX is built on top of PyTorch and offers a comprehensive toolbox of higher-order message passing functions for neural networks on topological domains. The extensively documented and unit-tested source code of TopoX is available under MIT license at https://pyt-team.github.io/}{https://pyt-team.github.io/.

翻译：本文介绍TopoX，一个Python软件套件，为图结构扩展的拓扑域（包括超图、单纯复形、胞腔复形、路径复形与组合复形）上的计算与机器学习提供可靠且用户友好的基础构建模块。TopoX包含三个核心包：TopoNetX支持拓扑域的构建与计算，涵盖节点、边及高阶胞元的操作；TopoEmbedX提供将拓扑域嵌入向量空间的方法，类似于node2vec等流行的图嵌入算法；TopoModelX基于PyTorch开发，为拓扑域上的神经网络提供了一套完整的高阶消息传递函数工具箱。TopoX的源代码经过充分文档化与单元测试，基于MIT许可证开放获取，访问地址为https://pyt-team.github.io/。