有理谱与最优输运关系的新探讨
New Metrics Between Rational Spectra and their Connection to Optimal Transport
摘要：
基于最优传输和线性系统理论，我们提出了一系列信号、线性系统或有理谱之间的度量。度量操作的位置上的极点的合理的功能，并承认非常有效的计算距离，重心，位移插值和投影。我们建立了理性光谱之间的瓦瑟斯坦距离的连接，并展示了使用的指标，如信号分类，聚类，检测和近似的任务。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
