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

Semi-supervised Learning for Aggregated Multilayer Graphs Using Diffuse Interface Methods and Fast Matrix Vector Products

Not scheduled
20m
Gran Sasso Science Institute

Gran Sasso Science Institute

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

Speaker

Kai Bergermann (TU Chemnitz)

Description

We generalize a graph-based multiclass semi-supervised classification technique based on diffuse interface methods to multilayer graphs. Besides the treatment of various applications with an inherent multilayer structure, we present a very flexible approach that interprets high-dimensional data in a low-dimensional multilayer graph representation. Highly efficient numerical methods involving the spectral decomposition of the corresponding differential graph operators as well as fast matrix-vector products based on the nonequispaced fast Fourier transform (NFFT) enable the rapid treatment of large and high-dimensional data sets. In fact, the computational complexity depends linearly on the network size in each iteration step in all stages of our algorithm.

Primary author

Kai Bergermann (TU Chemnitz)

Co-authors

Prof. Martin Stoll (TU Chemnitz) Dr Toni Volkmer (TU Chemnitz)

Presentation materials

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