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Manifold Modelling with Minimum Spanning Trees

Title: Manifold Modelling with Minimum Spanning Trees
Authors: Bot, Daniël M.; Huo, Peiyang; Arleo, Alessio; Paulovich, Fernando V.; Aerts, Jan
Contributors: Kucher, Kostiantyn; Diehl, Alexandra; Gillmann, Christina
Source: Bot, D M, Huo, P, Arleo, A, Paulovich, F V & Aerts, J 2024, Manifold Modelling with Minimum Spanning Trees. in K Kucher, A Diehl & C Gillmann (eds), EuroVis 2024 - Posters. Eurographics Association, 26th Eurographics Conference on Visualization, EuroVis 2024, Odense, Denmark, 27/05/24. https://doi.org/10.2312/evp.20241088
Publisher Information: Eurographics Association
Publication Year: 2024
Description: Recent dimensionality reduction algorithms operate on a manifold assumption and expect data to be uniformly sampled from that underlying manifold. While some algorithms attempt to be robust for non-uniform sampling, their reliance on k-nearest neighbours to approximate manifolds limits how well they can span sampling gaps without introducing shortcuts. We present a minimum-spanning-tree-based manifold approximation approach that overcomes this problem and demonstrate it crosses sampling-gaps without introducing shortcuts while creating networks with few edges. A python package implementing our algorithm is available at https://github.com/vda-lab/multi_mst.
Document Type: conference object
File Description: application/pdf
Language: English
Relation: info:eu-repo/semantics/altIdentifier/isbn/978-3-03868-258-5
DOI: 10.2312/evp.20241088
Availability: https://research.tue.nl/en/publications/e5b3c944-8376-45f7-9792-dfbf549515b6; https://doi.org/10.2312/evp.20241088; https://pure.tue.nl/ws/files/360542835/14_evp20241088_1_.pdf
Rights: info:eu-repo/semantics/openAccess ; http://creativecommons.org/licenses/by/4.0/
Accession Number: edsbas.E9998479
Database: BASE