Fig. 1

This figure depicts how to apply Steps 1–3 of Algorithm 4.1 on map 0052. No empirical data were available to implement Step 4 of this algorithm. H(A) is computed per Eq. 2. Equation A.3 is used to determine the number of valid representations v and H(B) is calculated per Eq. 3. The normalization of H(A) and H(B) follow Eqs. A.4 and A.5, respectively. The UR measure (proposed in Chen et al. [18]) of this map is obtained by \(\log _2 (m)=\log _2 (8) = 3\). As compared to H(B), the UR measure slightly underestimates the complexity of map 0052. While no actual probabilities were available for Step 4, it still can be speculated that if the probability of implanting or replacing any electrodes in the ventricular coronary venous system were zero for a given medical facility, both the \(Z(\alpha )\) and \(Z(\beta )\) measures would be 0.572*0 = 0.212*0 = 0. The implementation of Step 5 of this algorithm is discussed in “Results” section