A note on the Radiant formula and its relations to the sliced Wasserstein distance
A note on the Radiant formula and its relations to the sliced Wasserstein distance
Abstract In this note, we show that the squared Wasserstein distance can be expressed as the average over the sphere of one dimensional Wasserstein distances. We name this new expression for the Wasserstein Distance Radiant Formula . Using this formula, we are able to highlight new connections between the Wasserstein …