Monge, Bregman and Occam: Interpretable Optimal Transport in High-Dimensions with Feature-Sparse Maps
AuthorsMarco Cuturi, Michal Klein, Pierre Ablin
Optimal transport (OT) theory focuses, among all maps
People have an innate capability to understand the 3D visual world and make predictions about how the world could look from different points of view, even when relying on few visual observations. We have this spatial reasoning ability because of the rich mental models of the visual world we develop over time. These mental models can be interpreted as a prior belief over which configurations of the visual world are most likely to be observed. In this case, a prior is a probability distribution over the 3D visual world.