The Earth Mover’s Pinball Loss:
               Quantiles for Histogram-Valued Regression

                             Florian List 1

             Abstract
   Although ubiquitous in the sciences, histogram
   data have not received much attention by the
   Deep Learning community. Whilst regression
   and classification tasks for scalar and vector data
   are routinely solved by neural networks, a princi-
   pled approach for estimating histogram labels as
   a function of an input vector or im ...