9 papers
Decorated graphons for temporal network estimation
Charles Dufour, Sofia C. Olhede
We propose a unified nonparametric framework for modeling time-evolving networks using decorated graphons (also known as probability-graphons): symmetric functions that assign to e…
The partial K function
Jake P. Grainger, Tuomas A. Rajala, David J. Murrell +1
The K function and its related statistics have been an enduring tool in the analysis of spatial point processes, providing an easy to compute and interpret summary statistic for ch…
Irregularly and incompletely sampled random fields in the Earth sciences: Analysis and synthesis of parameterized covariance models
Olivia L. Walbert, Frederik J. Simons, Arthur P. Guillaumin +1
We study how sampling geometry contributes to uncertainty in modeling spatial geophysical observations as sampled random fields characterized by stationary, isotropic, parametric c…
Dependencies in Multiplex Networks: A Motif Count Approach
Karl Sawaya, Sofia Olhede
Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires stat…
Maximum-likelihood estimation of the Matérn covariance structure of isotropic spatial random fields on finite, sampled grids
Frederik J. Simons, Olivia L. Walbert, Arthur P. Guillaumin +3
We present a statistically and computationally efficient spectral-domain maximum-likelihood procedure to solve for the structure of Gaussian spatial random fields within the Matern…
Modeling Spatio-Temporal Transport: From Rigid Advection to Realistic Dynamics
Maria Laura Battagliola, Sofia Charlotta Olhede
Stochastic models for spatio-temporal transport face a critical trade-off between physical realism and interpretability. The advection model with a single constant velocity is inte…