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Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs
Dealing with data and observations has always been an important aspect of discovery in
science. The idea that science is related to data was brilliantly summarised by Fourier in his …
science. The idea that science is related to data was brilliantly summarised by Fourier in his …
Spectral augmentation for self-supervised learning on graphs
L Lin, J Chen, H Wang - ar** higher-order relations between brain structure and function with embedded vector representations of connectomes
Connectomics generates comprehensive maps of brain networks, represented as nodes
and their pairwise connections. The functional roles of nodes are defined by their direct and …
and their pairwise connections. The functional roles of nodes are defined by their direct and …
Network comparison and the within-ensemble graph distance
Quantifying the differences between networks is a challenging and ever-present problem in
network science. In recent years, a multitude of diverse, ad hoc solutions to this problem …
network science. In recent years, a multitude of diverse, ad hoc solutions to this problem …
Quantification of cascading failure propagation in power systems
This paper studies cascading failure propagation in power systems and presents methods
for the quantification of important properties of failure propagation. First, the topological …
for the quantification of important properties of failure propagation. First, the topological …
Data-driven topological filtering based on orthogonal minimal spanning trees: application to multigroup magnetoencephalography resting-state connectivity
In the present study, a novel data-driven topological filtering technique is introduced to
derive the backbone of functional brain networks relying on orthogonal minimal spanning …
derive the backbone of functional brain networks relying on orthogonal minimal spanning …
Subgingival host–microbiome metatranscriptomic changes following scaling and root planing in grade II/III periodontitis
Aim To assess the effects of scaling and root planing (SRP) on the dynamics of gene
expression by the host and the microbiome in subgingival plaque samples. Materials and …
expression by the host and the microbiome in subgingival plaque samples. Materials and …
Modeling network populations via graph distances
This article introduces a new class of models for multiple networks. The core idea is to
parameterize a distribution on labeled graphs in terms of a Fréchet mean graph (which …
parameterize a distribution on labeled graphs in terms of a Fréchet mean graph (which …
Fgot: Graph distances based on filters and optimal transport
Graph comparison deals with identifying similarities and dissimilarities between graphs. A
major obstacle is the unknown alignment of graphs, as well as the lack of accurate and …
major obstacle is the unknown alignment of graphs, as well as the lack of accurate and …