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Detecting network anomalies using Forman–Ricci curvature and a case study for human brain networks [PDF]
Scientific Reports, 2021 We analyze networks of functional correlations between brain regions to identify changes in their structure caused by Attention Deficit Hyperactivity Disorder (adhd).
Tanima Chatterjee +4 more
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Ollivier Ricci curvature of directed hypergraphs. [PDF]
Sci Rep, 2020 Eidi M, Jost J.
europepmc +3 more sources
Non-local interaction in discrete Ricci curvature-induced biological aggregation [PDF]
Royal Society Open ScienceWe investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods.
Jyotiranjan Beuria, Laxmidhar Behera
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Ricci Curvature Tensor-Based Volumetric Segmentation. [PDF]
Int J Comput VisHuang J, Chen K, Alpers A, Lei N.
europepmc +2 more sources
Ricci curvature: An economic indicator for market fragility and systemic risk [PDF]
Science Advances, 2016 Tryphon T Georgiou, Allen R Tannenbaum
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On $m$-th root metrics of isotropic projective Ricci curvature [PDF]
AUT Journal of Mathematics and Computing, 2023 The Ricci curvature is introduced by spray on $M^n$. Sprays are deformed to projective sprays with a volume form $dV$ on $M^n$. The projective Ricci curvature is defined as the expression of Ricci curvature with sprays.
Mehran Gabrani +2 more
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Comparative analysis of two discretizations of Ricci curvature for complex networks [PDF]
Scientific Reports, 2018 Areejit Samal, Shiping Liu, Emil Saucan
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Weighted Ricci curvature in Riemann-Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
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Ollivier-Ricci Curvature-Based Method to Community Detection in Complex Networks [PDF]
Scientific Reports, 2019 Jayson Sia +2 more
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Frontiers in Aging Neuroscience, 2023 IntroductionGeometry-inspired notions of discrete Ricci curvature have been successfully used as markers of disrupted brain connectivity in neuropsychiatric disorders, but their ability to characterize age-related changes in functional connectivity is ...
Yasharth Yadav +8 more
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