5 papers · 1 filter
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…
A Robust Extrinsic Single-index Model for Spherical Data
Houren Hong, Janice L. Scealy, Andrew T. A. Wood +1
Regression with a spherical response is challenging due to the absence of linear structure, making standard regression models inadequate. Existing methods, mainly parametric, lack…
Generalized Score Matching
Jiazhen Xu, Janice L. Scealy, Andrew T. A. Wood +1
Score matching is an estimation procedure that has been developed for statistical models whose probability density function is known up to proportionality but whose normalizing con…