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arXiv · 2011.13306

A Metric for Linear Symmetry-Based Disentanglement

Luis A. Pérez Rey·Loek Tonnaer·Vlado Menkovski·Mike Holenderski·Jacobus W. Portegies
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Abstract

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.

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Luis A. Pérez Rey, Loek Tonnaer, Vlado Menkovski, Mike Holenderski, Jacobus W. Portegies. 2020-11-26. A Metric for Linear Symmetry-Based Disentanglement. https://arxiv.org/abs/2011.13306

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