4 papers
Boltzmann-Shannon Index: A Geometric-Aware Measure of Clustering Balance
Emanuele Bossi, C. Tyler Diggans, Abd AlRahman R. AlMomani
The Boltzmann-Shannon Index (BSI) for clustered continuous data is introduced as a normalized measure that captures the relationship between geometry-based and frequency-based prob…
Graph conductance, synchronization, and a new bottleneck measure
C. Tyler Diggans
As a quantification of the main bottleneck to flow over a graph, the network property of conductance plays an important role in the process of synchronization of network-coupled dy…
Modeling resource consumption in the US air transportation system via minimum-cost percolation
Minsuk Kim, C. Tyler Diggans, Filippo Radicchi
We introduce a dynamic percolation model aimed at describing the consumption, and eventual exhaustion, of resources in transportation networks. In the model, rational agents progre…
Generalizing Geometric Partition Entropy for the Estimation of Mutual Information in the Presence of Informative Outliers
C. Tyler Diggans, Abd AlRahman R. AlMomani
The recent introduction of geometric partition entropy brought a new viewpoint to non-parametric entropy quantification that incorporated the impacts of informative outliers, but i…