New Metrics Between Rational Spectra and their Connection to Optimal Transport
From MaRDI portal
Publication:6339037
arXiv2004.09152MaRDI QIDQ6339037
Fredrik Bagge Carlson, Mandar Chitre
Publication date: 20 April 2020
Abstract: We propose a series of metrics between pairs of signals, linear systems or rational spectra, based on optimal transport and linear-systems theory. The metrics operate on the locations of the poles of rational functions and admit very efficient computation of distances, barycenters, displacement interpolation and projections. We establish the connection to the Wasserstein distance between rational spectra, and demonstrate the use of the metrics in tasks such as signal classification, clustering, detection and approximation.
Has companion code repository: https://github.com/baggepinnen/SpectralDistances.jl
This page was built for publication: New Metrics Between Rational Spectra and their Connection to Optimal Transport
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6339037)
