Homological assessment of data representations

Serguei Barannikov; Ilya Trofimov; Ekaterina Trimbach; Jun Wang; Evgeny Burnaev

doi:10.1117/12.2623460

4 March 2022 Homological assessment of data representations

Serguei Barannikov, Ilya Trofimov, Ekaterina Trimbach, Jun Wang, Evgeny Burnaev

Proceedings Volume 12084, Fourteenth International Conference on Machine Vision (ICMV 2021); 120840C (2022) https://doi.org/10.1117/12.2623460
Event: Fourteenth International Conference on Machine Vision (ICMV 2021), 2021, Rome, Italy

Abstract

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.

Citation Download Citation

Serguei Barannikov, Ilya Trofimov, Ekaterina Trimbach, Jun Wang, and Evgeny Burnaev "Homological assessment of data representations", Proc. SPIE 12084, Fourteenth International Conference on Machine Vision (ICMV 2021), 120840C (4 March 2022); https://doi.org/10.1117/12.2623460

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