May 11 – 13, 2022
Gran Sasso Science Institute
Europe/Rome timezone

Gradient Flow Optimisation for Graph Topological Stability

Not scheduled
20m
Gran Sasso Science Institute

Gran Sasso Science Institute

Viale Francesco Crispi 7 67100 L'Aquila (AQ) Italy
Poster Poster

Speaker

Anton Savostianov (Gran Sasso Science Institute)

Description

The topological structure of data is widely relevant in various applications, hence raising the question of the stability of topological features. In this talk we address the stability of 1-dimensional holes in a simplicial complex through the optimisation of a functional that combines the spectra of the classical graph Laplacian with the one of the higher-order Hodge Laplacian. The proposed procedure is based on a matrix ODE formulation and a constrained gradient flow approach; the method’s performance is illustrated on synthetic quasi-triangulation datasets and transportation networks.

Primary authors

Anton Savostianov (Gran Sasso Science Institute) Francesco Tudisco (GSSI) Prof. Nicola Guglielmi (Gran Sasso Science Institute)

Presentation materials

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