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Workshop

Stability analysis of intersection graphs and it’s application for hyperparameter tuning in TDA Mapper

  • Daniela Horak (AIG, London, United Kingdom)
Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)
Attention: this talk has to be cancelled.

Abstract

TDA Mapper (also referred to as topological data visualisation or topological clustering), is a method that yields an approximation of a Reeb graph of a data manifold, and has been used successfully in applications across different fields over several last decades.

In spite of TDA Mapper showing great promise, it's wide spread adoption has been limited. This is primarily due to practioners' ad-hoc approach to parameter tuning.

This is unsurprising, since all unsupervised learning algorithms face the same issue due to absence of ground truth labels, and TDA Mapper even more so, due to existence of hyper parameters along with parameters. Model selection is, therefore, highly non-trivial.

In this talk I will present stability analysis as a systematic tool for hyper-parameter tuning on Mapper Graphs, discuss appropriate distance metrics on these mathematical structures, and conclude with few applications.

Attention: this talk has to be cancelled.

Attention: this talk has to be cancelled.
conference
5/16/22 5/25/22

Mathematical Concepts in the Sciences and Humanities

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E1 05 (Leibniz-Saal) Live Stream

Katharina Matschke

Max Planck Institute for Mathematics in the Sciences, Germany Contact via Mail

Nihat Ay

Hamburg University of Technology, Germany and Santa Fe Institute

Eckehard Olbrich

Max Planck Institute for Mathematics in the Sciences, Germany

Felix Otto

Max Planck Institute for Mathematics in the Sciences, Germany

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences, Germany