Testing for Geometric Invariance and Equivariance

Code

• github.com/lchristie/testing_for_equivariance
  OfficialIn papernone★ 0

Abstract

Invariant and equivariant models incorporate the symmetry of an object to be estimated (here non-parametric regression functions f : X R). These models perform better (with respect to L^2 loss) and are increasingly being used in practice, but encounter problems when the symmetry is falsely assumed. In this paper we present a framework for testing for G-equivariance for any semi-group G. This will give confidence to the use of such models when the symmetry is not known a priori. These tests are independent of the model and are computationally quick, so can be easily used before model fitting to test their validity.

Tasks

Reproductions