Prof. Fletcher Christensen: Triangles, Tetrahedrons, Pentachorons, and Efficient High-Dimensional Polya Tree Structures
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ABSTRACT: In the area of Bayesian non-parametric methods, Polya trees provide a method for creating flexible probability models with absolutely continuous distribution functions. Their use has historically been limited by the curse of dimensionality. This talk will present work in progress on a new simplex-based scheme for partitioning multidimensional space that drastically reduces the cost of increasing dimensionality.
BIO: Fletcher G.W. Christensen completed his doctorate in statistics at UC Irvine in 2017 and has been an assistant professor of statistics at UNM since that time. His recent research has focused on model selection methods for mixed models, interim analysis methods for operational testing, and Bayesian nonparametric theory. He recently graduated his first doctoral student and has been nominated for UNM's 2021 New Teacher of the Year award.