Persistence homology of networks: methods and applications

ME Aktas, E Akbas, AE Fatmaoui - Applied Network Science, 2019 - Springer
Abstract Information networks are becoming increasingly popular to capture complex
relationships across various disciplines, such as social networks, citation networks, and …

Subgraph neural networks

E Alsentzer, S Finlayson, M Li… - Advances in Neural …, 2020 - proceedings.neurips.cc
Deep learning methods for graphs achieve remarkable performance on many node-level
and graph-level prediction tasks. However, despite the proliferation of the methods and their …

[HTML][HTML] Memory sequencing reveals heritable single-cell gene expression programs associated with distinct cellular behaviors

SM Shaffer, BL Emert, RAR Hueros, C Cote… - Cell, 2020 - cell.com
Non-genetic factors can cause individual cells to fluctuate substantially in gene expression
levels over time. It remains unclear whether these fluctuations can persist for much longer …

Scalar field comparison with topological descriptors: Properties and applications for scientific visualization

L Yan, TB Masood, R Sridharamurthy… - Computer Graphics …, 2021 - Wiley Online Library
In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …

A persistent weisfeiler-lehman procedure for graph classification

B Rieck, C Bock, K Borgwardt - International Conference on …, 2019 - proceedings.mlr.press
Abstract The Weisfeiler–Lehman graph kernel exhibits competitive performance in many
graph classification tasks. However, its subtree features are not able to capture connected …

Spectral detection of simplicial communities via Hodge Laplacians

S Krishnagopal, G Bianconi - Physical Review E, 2021 - APS
While the study of graphs has been very popular, simplicial complexes are relatively new in
the network science community. Despite being a source of rich information, graphs are …

Topological anomaly detection in dynamic multilayer blockchain networks

D Ofori-Boateng, IS Dominguez, C Akcora… - Machine Learning and …, 2021 - Springer
Motivated by the recent surge of criminal activities with cross-cryptocurrency trades, we
introduce a new topological perspective to structural anomaly detection in dynamic …

Topological EEG-based functional connectivity analysis for mental workload state recognition

Y Yan, L Ma, YS Liu, K Ivanov, JH Wang… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
Mental workload (MWL) assessment is crucial in fatigue evaluation applications to avoid
potential health problems or serious accidents. This article proposes an MWL recognition …

Topological machine learning with persistence indicator functions

B Rieck, F Sadlo, H Leitte - Topological Methods in Data Analysis and …, 2020 - Springer
Techniques from computational topology, in particular persistent homology, are becoming
increasingly relevant for data analysis. Their stable metrics permit the use of many distance …

On the expressivity of persistent homology in graph learning

R Ballester, B Rieck - arxiv preprint arxiv:2302.09826, 2023 - arxiv.org
Persistent homology, a technique from computational topology, has recently shown strong
empirical performance in the context of graph classification. Being able to capture long …