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1
Introduction
2
Representation of graphs
3
Graph similarity analysis
4
Modern graph neural networks
5
Status quo
6
Topological features
7
Persistent homology
8
The choice of filtration
9
Graph Neural Networks
10
Multifiltration Learning
11
Theoretical Nuggets
12
Nonisomorphic Graphs
13
Experiments
14
Synthetic Data Sets
15
WL Test
16
Results
17
Removing node attributes
18
Comparing results
Description:
Explore topological data analysis in graph representation learning through this 57-minute lecture by Bastian Rieck. Delve into graph classification tasks using machine learning techniques, with a focus on incorporating topological features. Discover a novel 'topology-aware' layer for graph neural networks and its impact on theoretical expressivity. Gain insights into persistent homology, multifiltration learning, and experimental results on synthetic datasets. Suitable for TDA enthusiasts, with helpful but not required prior knowledge of machine learning techniques.

Bastian Rieck - Topological Graph Neural Networks

Applied Algebraic Topology Network
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