136 citations · 235 across the 7 of their papers we have counts for
7 papers
Golden rhythms as a theoretical framework for cross-frequency organization
Mark A. Kramer
While brain rhythms appear fundamental to brain function, why brain rhythms consistently organize into the small set of discrete frequency bands observed remains unknown. Here we p…
Inferring the Type of Phase Transitions Undergone in Epileptic Seizures Using Random Graph Hidden Markov Models for Percolation in Noisy Dynamic Networks
Xiaojing Zhu, Heather Shappell, Mark A. Kramer +2
In clinical neuroscience, epileptic seizures have been associated with the sudden emergence of coupled activity across the brain. The resulting functional networks - in which edges…
Percolation under Noise: Detecting Explosive Percolation Using the Second Largest Component
Wes Viles, Cedric E. Ginestet, Ariana Tang +2
We consider the problem of distinguishing classical (Erdős-Rényi) percolation from explosive (Achlioptas) percolation, under noise. A statistical model of percolation is constructe…
GALGO: A Genetic ALGOrithm Decision Support Tool for Complex Uncertain Systems Modeled with Bayesian Belief Networks
Carlos Rojas-Guzman, Mark A. Kramer
Bayesian belief networks can be used to represent and to reason about complex systems with uncertain, incomplete and conflicting information. Belief networks are graphs encoding an…
A showcase of torus canards in neuronal bursters
John Burke, Mathieu Desroches, Anna M. Barry +2
Rapid action potential generation --- spiking --- and alternating intervals of spiking and quiescence --- bursting --- are two dynamic patterns observed in neuronal activity. In co…
Network inference - with confidence - from multivariate time series
Mark A. Kramer, Uri T. Eden, Sydney S. Cash +1
Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physica…