3 papers
math.ST2024
Symmetry: a General Structure in Nonparametric Regression
Louis G. Christie, John A. D. Aston
In this paper we present the framework of symmetry in nonparametric regression. This generalises the framework of covariate sparsity, where the regression function depends only on…
stat.ME2023
Estimating Maximal Symmetries of Regression Functions via Subgroup Lattices
Louis G. Christie, John A. D. Aston
We present a method for estimating the maximal symmetry of a continuous regression function. Knowledge of such a symmetry can be used to significantly improve modelling by removing…
stat.ML2022
Testing for Geometric Invariance and Equivariance
Louis G. Christie, John A. D. Aston
Invariant and equivariant models incorporate the symmetry of an object to be estimated (here non-parametric regression functions ). These mo…