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arXiv 2012.04023math.STcs.LGeess.SPmath.PRstat.MLstat.TH

The Spectral-Domain $\mathcal{W}_2$ Wasserstein Distance for Elliptical Processes and the Spectral-Domain Gelbrich Bound

New York University(纽约大学)

Song Fang, Quanyan Zhu

英文摘要:

In this short note, we introduce the spectral-domain $\mathcal{W}_2$ Wasserstein distance for elliptical stochastic processes in terms of their power spectra. We also introduce the spectral-domain Gelbrich bound for processes that are not necessarily elliptical.

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