We present a toolkit of directed distances between quantile functions. By employing this, we solve some new optimal transport (OT) problems which e.g. considerably flexibilize some prominent OTs expressed through Wasserstein distances.
翻译:我们提出了一个关于四分位函数之间直接距离的工具包,通过使用这一工具,我们解决了一些新的最佳运输问题,例如,相当灵活地将一些通过瓦森斯坦距离表达的突出的奥特人加以灵活化。