


Supplementary Material - Contents
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- main-full.pdf: main paper + appendices with the proof of the result reported in the paper + a discussion on additional experiments. 


- ellipses/ellipse<i>.png: i=1,...,30 images used to compute the barycenter of the nested ellipses described in Sec. 6. 


- nested_ellipses.gif: animated gif showing the subsequent iterates of the the FW algorithm proposed in this work as they compute the barycenter of the 30 images of nested ellipses


- original_cheetah.jpg: the original image (Fig. 3 (Left) in the paper) used to perform the "Image Compression via Matching Distribution" experiment in Sec. 6.

- cheetah.gif : animated gif showing the subsequent iterates of the FW algorithm proposed in this work for the "Image Compression via Matching Distribution" experiment in Sec. 6, Fig. 3. We note how the FW algorithm greedily selects support points as described in Sec. 6 and Fig. 3

- interactive_propagation_<i>%.html: i=10,20,30. An interactive .html file reporting the experiments "Real Data: Sinkhorn propagation on weather data" Sec. 6. Each weather station can be clicked to get information on the improvement gap of our method compare with the Dirichlet propagation baseline in [42]. [Note: This requires connection to the internet]. 




