Search Results for author: Richard Lenz

Found 3 papers, 3 papers with code

Homological Time Series Analysis of Sensor Signals from Power Plants

1 code implementation3 Jun 2021 Luciano Melodia, Richard Lenz

In this paper, we use topological data analysis techniques to construct a suitable neural network classifier for the task of learning sensor signals of entire power plants according to their reference designation system.

Time Series Time Series Analysis +1

Estimate of the Neural Network Dimension Using Algebraic Topology and Lie Theory

3 code implementations6 Apr 2020 Luciano Melodia, Richard Lenz

In this paper we present an approach to determine the smallest possible number of neurons in a layer of a neural network in such a way that the topology of the input space can be learned sufficiently well.

Persistent Homology as Stopping-Criterion for Voronoi Interpolation

1 code implementation8 Nov 2019 Luciano Melodia, Richard Lenz

In this study the Voronoi interpolation is used to interpolate a set of points drawn from a topological space with higher homology groups on its filtration.

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