  The definition of Linear Symmetry-Based Disentanglement (LSBD) proposed by
(Higgins et al., 2018) outlines the properties that should characterize a
disentangled representation that captures the symmetries of data. However, it
is not clear how to measure the degree to which a data representation fulfills
these properties. We propose a metric for the evaluation of the level of LSBD
that a data representation achieves. We provide a practical method to evaluate
this metric and use it to evaluate the disentanglement of the data
representations obtained for three datasets with underlying $SO(2)$ symmetries.
