@inproceedings{fa1fb0a076544fdf985dcf7c6d9311ca,
title = "BScNets: Block Simplicial Complex Neural Networks",
abstract = "Simplicial neural networks (SNN) have recently emerged as the newest direction in graph learning which expands the idea of convolutional architectures from node space to simplicial complexes on graphs. Instead of pre-dominantly assessing pairwise relations among nodes as in the current practice, simplicial complexes allow us to describe higher-order interactions and multi-node graph structures. By building upon connection between the convolution operation and the new block Hodge-Laplacian, we propose the first SNN for link prediction. Our new Block Simplicial Complex Neural Networks (BScNets) model generalizes the existing graph convolutional network (GCN) frameworks by systematically incorporating salient interactions among multiple higher-order graph structures of different dimensions. We discuss theoretical foundations behind BScNets and illustrate its utility for link prediction on eight real-world and synthetic datasets. Our experiments indicate that BScNets outperforms the state-of-the-art models by a significant margin while maintaining low computation costs. Finally, we show utility of BScNets as the new promising alternative for tracking spread of infectious diseases such as COVID-19 and measuring the effectiveness of the healthcare risk mitigation strategies.",
author = "Yuzhou Chen and Gel, {Yulia R.} and {Vincent Poor}, H.",
note = "Funding Information: This material is based upon work sponsored by the National Science Foundation under award numbers ECCS 2039701, ECCS 2039716, INTERN supplement for ECCS 1824716, DMS 1925346 and the Department of the Navy, Office of Naval Research under ONR award number N000142112226. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the Office of Naval Research. Publisher Copyright: Copyright {\textcopyright} 2022, Association for the Advancement of Artificial Intelligence (www.aaai.org). All rights reserved.; 36th AAAI Conference on Artificial Intelligence, AAAI 2022 ; Conference date: 22-02-2022 Through 01-03-2022",
year = "2022",
month = jun,
day = "30",
language = "English (US)",
series = "Proceedings of the 36th AAAI Conference on Artificial Intelligence, AAAI 2022",
publisher = "Association for the Advancement of Artificial Intelligence",
pages = "6333--6341",
booktitle = "AAAI-22 Technical Tracks 6",
}