5 papers
Robust Estimation of Location in Matrix Manifolds Using the Projected Frobenius Median
Houren Hong, Kassel Liam Hingee, Janice L. Scealy +1
We propose a robust method for location estimation in various matrix manifolds based on the projected Frobenius median, which is closely related to the spatial median. This method…
Regression for spherical responses with linear and spherical covariates using a scaled link function
Shogo Kato, Kassel L. Hingee, Janice L. Scealy +1
We propose a regression model in which the responses are spherical variables and the covariates include linear and/or spherical variables. A novel link function is introduced by ex…
Principal Subsimplex Analysis
Hyeon Lee, Kassel Liam Hingee, Janice L. Scealy +3
Compositional data, which are data that lie in a simplex, naturally arise in many scientific domains such as geochemistry, microbiology, and economics. In such domains, obtaining s…
Robust score matching for compositional data
Janice L. Scealy, Kassel L. Hingee, John T. Kent +1
The restricted polynomially-tilted pairwise interaction (RPPI) distribution gives a flexible model for compositional data. It is particularly well-suited to situations where some o…
Equivalence of Probabilistic Tournament and Polynomial Ranking Selection
Kassel Hingee, Marcus Hutter
Crucial to an Evolutionary Algorithm's performance is its selection scheme. We mathematically investigate the relation between polynomial rank and probabilistic tournament methods…