The Graph convolutional Networks (GCN) with Persistent Homology and its application 1/4

B378 Seminar room, IBS 55 Expo-ro Yuseong-guDaejeon,

(1) GCN and its Application. We introduce the GCN by reviewing the monumental paper " Semi-Supervised Classification with the Graph Convolutional Networks", ICLR 2018 by Kipf and Welling. We are going to much detail the algorithm of message aggregation and passings and learning processes. Code ; https://github.com/tkipf/gcm (2) Graph Attention networks(GAT) and its Applications. Bengio

The Graph convolutional Networks (GCN) with Persistent Homology and its application 2/4

B378 Seminar room, IBS 55 Expo-ro Yuseong-guDaejeon,

Simplicial Complexes, Persistent Homology and Persistent Diagrams. After a brief review on the persistent homology( Cohen-Steiner, Edelsbrunner, Harer,2010), we discuss constructive procedures persistent diagrams from the persistent homology. Code; 9 software packages generating persistent homology are introduced at " A roadmap for the computation of persistent homology", EPJ Data Science, a Springer Open Journal.

The Graph convolutional Networks (GCN) with Persistent Homology and its applications 3/4

B378 Seminar room, IBS 55 Expo-ro Yuseong-guDaejeon,

Neural Networks with the Persistent Diagrams and Graph Classification. We introduce the first paper connecting persistent diagrams to the Neural Networks by Carrier et al," A neural Network Layer for Persistent Diagrams and New Graph Topological Signatures, 2019, arXiv. We are going to analyse the End-to-End algorithm and learning processes and applications. Code; tensorflow at

The Graph convolutional Networks (GCN) with Persistent Homology and its applications 4/4

B378 Seminar room, IBS 55 Expo-ro Yuseong-guDaejeon,

GCN with Persistent Diagrams."Persistent Enhanced Graph Neural Network" (Zhao, Ye, Chen, Wang), AISTATS,2020, is the 1st work on combining GCN with Persistent Diagrams. We detail all procedures on architecture, algorithms and learning processes. We also discuss the difference between the work of Carriere et al and that of Zhao et al.

IBS 의생명수학그룹 Biomedical Mathematics Group
기초과학연구원 수리및계산과학연구단 의생명수학그룹
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IBS Biomedical Mathematics Group (BIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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