These metrics are constructed so that distances reduce with additive and multiplicative noise, reflecting the intuition that noise typically reduces our ability to discriminate spectra. In addition, perturbations measured in these metrics are continuous with respect to the statistics of the underlying time series.
Abstract— We present a family of metrics for power spectra based on the Monge-Kantorivic transportation distances. These metrics are constructed so that ...
We present a family of metrics for power spectra based on the Monge-Kantorivic transportation distances. These metrics are constructed so that distances ...
We present a family of metrics for power spectra based on the Monge-Kantorivic transportation distances. These metrics are constructed so that distances ...
Abstract—We present an axiomatic framework for seeking a distance between power spectral density functions. The axioms require that the sought metric ...
The distance between these three power spectra in the transportation metric, the prediction metric, and the Itakura-Saito distance are compared in Fig. 4 as ...
If κ > 0 and p ∈ (0,∞), then δp,κ(dµ0, dµ1) is a metric & satisfies the “wish list”, i.e. distances do not increase under additive noise and multiplicative ...
Aug 6, 2021 · Quantum polyspectra of up to fourth order are introduced for modeling and evaluating quantum transport measurements offering a powerful alternative to methods
... Transport metrics for power spectra. ; IEEE Staff Corporate Author ;. , ISBN: 1-4244-3123-9 , 1-5090-7614-X , 1-4244-3124-7; DOI: 10.1109/CDC.2008.4738675 ...
Apr 20, 2020 · We propose a series of metrics between pairs of signals, linear systems or rational spectra, based on optimal transport and linear-systems ...