Curvature-based clustering on graphs
Unsupervised node clustering (or community detection) is a classical graph learning task. In
this paper, we study algorithms, which exploit the geometry of the graph to identify densely …
this paper, we study algorithms, which exploit the geometry of the graph to identify densely …
High definition transcranial direct current stimulation of the Cz improves social dysfunction in children with autism spectrum disorder: a randomized, sham, controlled …
Y Wang, F Wang, Y Kong, T Gao, Q Zhu… - Autism …, 2023 - Wiley Online Library
The purpose of this study was to determine the effect of the Cz of high‐definition 5‐channel
tDCS (HD‐tDCS) on social function in 4–12 years‐old children with autism spectrum …
tDCS (HD‐tDCS) on social function in 4–12 years‐old children with autism spectrum …
Investigation of Indian stock markets using topological data analysis and geometry-inspired network measures
S Kulkarni, HK Pharasi, S Vijayaraghavan… - Physica A: Statistical …, 2024 - Elsevier
Financial markets are a quintessential example of complex systems wherein strategic
connections arising through the trading (buying and selling) of different stocks gives rise to …
connections arising through the trading (buying and selling) of different stocks gives rise to …
Bakry–Émery–Ricci curvature: an alternative network geometry measure in the expanding toolbox of graph Ricci curvatures
The characterization of complex networks with tools originating in geometry, for instance
through the statistics of so-called Ricci curvatures, is a well established tool of network …
through the statistics of so-called Ricci curvatures, is a well established tool of network …
Changes in the geometry and robustness of diffusion tensor imaging networks: secondary analysis from a randomized controlled trial of young autistic children …
Diffusion tensor imaging (DTI) has been used as an outcome measure in clinical trials for
several psychiatric disorders but has rarely been explored in autism clinical trials. This is …
several psychiatric disorders but has rarely been explored in autism clinical trials. This is …
Discrete Ricci curvatures capture age-related changes in human brain functional connectivity networks
Introduction Geometry-inspired notions of discrete Ricci curvature have been successfully
used as markers of disrupted brain connectivity in neuropsychiatric disorders, but their ability …
used as markers of disrupted brain connectivity in neuropsychiatric disorders, but their ability …
Mixed-membership community detection via line graph curvature
Community detection is a classical method for understanding the structure of relational data.
In this paper, we study the problem of identifying mixed-membership community structure …
In this paper, we study the problem of identifying mixed-membership community structure …
Spatial-Temporal Characteristics of Brain Activity in Autism Spectrum Disorder Based on Hidden Markov Model and Dynamic Graph Theory: A Resting-State fMRI …
Autism spectrum disorder (ASD) is a common neurodevelopmental disorder. Functional
magnetic resonance imaging (fMRI) can be used to measure the temporal correlation of …
magnetic resonance imaging (fMRI) can be used to measure the temporal correlation of …
Exploring the space of graphs with fixed discrete curvatures
Discrete curvatures are quantities associated to the nodes and edges of a graph that reflect
the local geometry around them. These curvatures have a rich mathematical theory and they …
the local geometry around them. These curvatures have a rich mathematical theory and they …
Local detour centrality: a novel local centrality measure for weighted networks
Centrality, in some sense, captures the extent to which a vertex controls the flow of
information in a network. Here, we propose Local Detour Centrality as a novel centrality …
information in a network. Here, we propose Local Detour Centrality as a novel centrality …