In this project I implement a forward evolution integrator by matrix exponentiation of a model of age dependent communicable diseases using a mysterious and magical alchemy of von Foerster dynamics, Gompertz processes - biologically endogenous ageing modeled by Poisson processes subordinated by integrated geometric Brownian motion, Makeham processes - biologically exogenous casualties of serialized interactions, accelerated failure time models, phase type distributions, and the Lie algebra of hazard rates, while incanting the theory of stochastic processes.
I have the good fortune to have found a home near the mountains on the traditional territories of the Treaty 7 people, and I am blessed to have as good neighbors the peoples of the Tsuut'ina Nation.
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Aaron Sheldon (2020), "von Foerster Hazards" v1.0, Zenodo, doi:Pending registration with Zenodo
@misc{vonFoersterHazards,
author = {Aaron Sheldon},
title = {{von Foerster Hazards}},
year = 2020,
doi = {Pending registration with Zenodo},
version = {1.0},
publisher = {Zenodo},
url = {https://doi.org}
}I am a feral mathematician set loose in the life sciences. I specialize in building precisely calibrated high resolution scientific instruments that integrate, at scale, large, high dimensional, heterogeneous longitudinal administrative and transactional enterprise data sources, to conduct rigorous observational experiments that test hypotheses about the processes of entire organizations, systems, and economies, at the level of individual interactions. To theoretically ground my experimental work I study the representations of stochastic processes in Lie algebras. I have an eclectic background in the sciences, spanning mathematics, physics, computer science, molecular biology, clinical research, epidemiology, and population surveillance. The tools I use are equally eclectic, and project dependent. I have an insignificant publication record, with my first and best work stemming from the tail end of an unremarkable Bachelors of Science in Mathematics and Physics from Bishop's University. I hold a similarly undistinguished Masters of Science in Mathematical Statistics from the University of Calgary. I am currently employed with Alberta Health Services, where I am working to establish my vision of a public sector that efficiently reallocates resources to equitably redistribute the risks that are within society's control, with a specific mission to elucidate the fundamental mechanics and dynamics of risk. Sometimes I have time to think about topics deeply, but most of the time I can be found herding bits into data sets. The on-line communities I am willing to publicly admit to lurking around are Github, Tableau Forums, Tableau Public, and nearly two decades ago once submitting to MatLab. I am not an algorithmist. I think like a physicist.
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