8 papers
Colored Markov-Modulated Brownian Motion for Preemptive Workload Stacks
Maria Laura Battagliola, Eduardo Medina-Valdés, Oscar Peralta
We develop a colored Markov-modulated Brownian motion model for diffusion-scale systems in which newly created work preempts the active layer, occupies the top of an ordered stack,…
Local Second-Order Geometry Induced by Deformation Maps
Maria Laura Battagliola
Spatial deformations offer a flexible route to nonstationary dependence by warping the coordinates of a stationary random field. While the exact induced covariance depends on the d…
Optimization-Free Concentrated Matrix-Exponentials
Maria Laura Battagliola, Oscar Peralta
Near-deterministic positive delays require highly concentrated distributions, but phase-type models are constrained by the Erlang variance limit. While matrix-exponential distribut…
Extremile scalar-on-function regression
Maria Laura Battagliola, Martin Bladt
Extremiles provide a generalization of quantiles which are not only robust, but also have an intrinsic link with extreme value theory. This paper introduces an extremile regression…
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…
Functional Modeling of Learning and Memory Dynamics in Cognitive Disorders
Maria Laura Battagliola, Laura J. Benoit, Sarah Canetta +2
Deficits in working memory, which includes both the ability to learn and to retain information short-term, are a hallmark of many cognitive disorders. Our study analyzes data from…