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拓扑神经网络通过CCWL测试获得统一框架

研究人员引入了组合复形Weisfeiler-Lehman(CCWL)测试,这是一个旨在统一和增强拓扑深度学习的新框架。这项新测试将Weisfeiler-Lehman测试扩展到组合复形,为拓扑神经网络提供了理论基础。提出的组合复形同构网络(CCIN)在基准测试中表现出色,为拓扑结构上的深度学习提供了更通用的表达能力。 AI

影响 推动了对复杂拓扑数据结构上深度学习的理论理解和实际应用。

排序理由 学术论文,介绍了一种新的拓扑深度学习理论框架和模型。

在 arXiv cs.LG 阅读 →

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拓扑神经网络通过CCWL测试获得统一框架

报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Jiawen Chen, Qi Shao, Duxin Chen, Wenwu Yu ·

    Weisfeiler Lehman Test on Combinatorial Complexes: Generalized Expressive Power of Topological Neural Networks

    arXiv:2605.00725v1 Announce Type: new Abstract: Combinatorial complexes have unified set-based (e.g., graphs, hypergraphs) and part-whole (e.g., simplicial, cellular complexes) structures into a common topological framework. Existing topological neural networks and Weisfeiler-Leh…

  2. arXiv cs.LG TIER_1 English(EN) · Wenwu Yu ·

    Weisfeiler Lehman Test on Combinatorial Complexes: Generalized Expressive Power of Topological Neural Networks

    Combinatorial complexes have unified set-based (e.g., graphs, hypergraphs) and part-whole (e.g., simplicial, cellular complexes) structures into a common topological framework. Existing topological neural networks and Weisfeiler-Lehman variants remain fragmented, lacking a unifie…