Normalizing flows are constructed from a base distribution with a known density and a diffeomorphism with a tractable Jacobian. The base density of a normalizing flow can be parameterised by a different normalizing flow, thus allowing maps to be found between arbitrary distributions. We demonstrate and explore the utility of this approach and show it is particularly interesting in the case of conditional normalizing flows and for introducing optimal transport constraints on maps that are constructed using normalizing flows.

翻译：正常化的流量来自已知密度的基数分布和可移动的雅各基数形态。正常化流量的基数密度可以通过不同的正常化流量加以参数化,从而可以在任意分布之间找到地图。我们展示并探索了这一方法的效用,并表明在有条件的正常流动和在使用正常化流量绘制的地图上引入最佳运输限制方面特别有趣。