Symmetry: A general structure in nonparametric regression

Abstract

This zip file contains three items: (1) 3d_rotations_eg.py contains the code relevant to Section 5.1; (2) translation_eg.py contains the code relevant to Section 5.2; and (3) readme.md contains further description of these files, including instructions for their use. In this paper, we present the framework of symmetry in nonparametric regression. This generalises the framework of covariate sparsity, where the regression function f:[0,1]d→R depends only on at most s