Persistence homology of networks: methods and applications
Abstract Information networks are becoming increasingly popular to capture complex
relationships across various disciplines, such as social networks, citation networks, and …
relationships across various disciplines, such as social networks, citation networks, and …
Subgraph neural networks
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 …
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
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 …
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
In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …
A persistent weisfeiler-lehman procedure for graph classification
Abstract The Weisfeiler–Lehman graph kernel exhibits competitive performance in many
graph classification tasks. However, its subtree features are not able to capture connected …
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 …
the network science community. Despite being a source of rich information, graphs are …
Topological anomaly detection in dynamic multilayer blockchain networks
Motivated by the recent surge of criminal activities with cross-cryptocurrency trades, we
introduce a new topological perspective to structural anomaly detection in dynamic …
introduce a new topological perspective to structural anomaly detection in dynamic …
Topological EEG-based functional connectivity analysis for mental workload state recognition
Mental workload (MWL) assessment is crucial in fatigue evaluation applications to avoid
potential health problems or serious accidents. This article proposes an MWL recognition …
potential health problems or serious accidents. This article proposes an MWL recognition …
Topological machine learning with persistence indicator functions
Techniques from computational topology, in particular persistent homology, are becoming
increasingly relevant for data analysis. Their stable metrics permit the use of many distance …
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 …
empirical performance in the context of graph classification. Being able to capture long …