Homological assessment of data representations
Résumé
In this paper we discuss the concept of the Cross-Barcode (P,Q) introduced and studied in the recent work [1]. In particular, we describe the emergence of this concept from the combinatorics of matrices of the pairwise distances between the two data representations. We also illustrate the applications of the Cross-Barcode (P,Q) to the evaluation of disentanglement in data representations. Experiments are carried out with the dSprites dataset from computer vision.
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