Algorithm A3 Estimation of 2D entropy

1:functionH2D(X,Y,N) 2:                            ▹ calc 2D histogram using uniform bins 3: $N_{\mathrm{bins}}\leftarrow min\{\max \#\mathrm{bins},N^{0.2},N/10\}$ 4: $edges\leftarrow [0,1/N_{\mathrm{bins}},2/N_{\mathrm{bins}},\cdots ,1]$ 5:                             ▹ Histogram with bins $edges$ per dim 6: $counts\leftarrow$ 2D Histogram(X,Y,$edges$) 7: $p\leftarrow counts·N_{\mathrm{bins}}^2/(\sum counts)$                        ▹ Normalize 8: $H\leftarrow -\left[\sum pln\left(p\right)\right]/N_{\mathrm{bins}}^2$ 9: end function