70 citations · 80 across the 6 of their papers we have counts for
6 papers
A Gaussian Integral Filter with Multivariate Laplace Process Noise
Enrico M. Zucchelli, Brandon A. Jones
This paper introduces the concept of the Gaussian integral filter (GIF), the limit of the Gaussian sum filter (GSF) for when the number of mixands tends to infinity. The GIF is obt…
MAGAL Constellation -- Using a Small Satellite Altimeter Constellation to Monitor Local and Regional Ocean and Inland Water Variations
André G. C. Guerra, André João, Miguel Arantes +18
MAGAL lays the foundations for a future constellation of small satellites carrying radar altimeters aiming to improve the understanding of ocean circulation variability at local, r…
Stochastic Expansions Including Random Inputs on the Unit Circle
Brandon A. Jones, Marc Balducci
Stochastic expansion-based methods of uncertainty quantification, such as polynomial chaos and separated representations, require basis functions orthogonal with respect to the den…
A Generalized Labeled Multi-Bernoulli Filter with Object Spawning
Daniel S. Bryant, Ba Tuong Vo, Ba Ngu Vo +1
Previous labeled random finite set filter developments use a motion model that only accounts for survival and birth. While such a model provides the means for a multi-object tracki…
Orbit Uncertainty Propagation and Sensitivity Analysis With Separated Representations
Marc Balducci, Brandon Jones, Alireza Doostan
Most approximations for stochastic differential equations with high-dimensional, non-Gaussian inputs suffer from a rapid (e.g., exponential) increase of computational cost, an issu…
Spawning Models for the CPHD Filter
Daniel S. Bryant, Emmanuel D. Delande, Steven Gehly +3
In its classical form, the Cardinalized Probability Hypothesis Density (CPHD) filter does not model the appearance of new targets through spawning, yet there are applications for w…