If I calculate the EMD of all possible histograms in the first round of the game, I get a 169x169 matrix like the small 4x4 EMD matrix in Figure 2 (page 4) of the paper.
After performing kmeans clustering on the 169x169 matrix (kmeans++, multiple restarts, 8 clusters) I get a slightly different result like in Table 1 (page 5) of the paper.
My histograms and EMD values are the same like in the paper that is why I think I am doing something wrong between EMD calculation and clustering.
I think they reduce the 169x169 EMD matrix to a 169x1 EMD matrix because otherwise the matrices are getting pretty huge on the second and third round of the game, right?
I am happy for any hint and I am also interested in exchanging information with others who are on the same journey
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