3 papers
cs.LG2026
Homological Time Series Analysis of Sensor Signals from Power Plants
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 accordin…
stat.ML2026
Estimate of the Neural Network Dimension using Algebraic Topology and Lie Theory
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 l…
cs.CG2026
Persistent Homology as Stopping-Criterion for Voronoi Interpolation
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. The technique is based…