Fig. 1.

Schematic representation of the different hypotheses that we make for the beats following u_k. The plot at the top shows the IG distribution of the time of occurrence of the first beat after u_k (black solid line), the second one (blue dashed line) and the third one (red dotted line). All three probabilities are estimated at time u_k and this explains why predictions that are further in the future present a wider variance. In the lower part of the figure, sample configurations of the beat times representing the different hypotheses (“N”, …, “r”) are reported. The black full circles indicate the beats for which the PDF on the right presents a high value; the crosses mark the beats that are going to be removed while the dashed circles are beats that need to be inserted. For example in the “e” case the beat u_k+2 has high probability of being the first beat after u_k (black bell) and for this reason the beat u_k+1 will be removed (red cross). In the “m” case, instead, u_k+1 has low probability of being the first beat after u_k (black bell) while u_k+2 has high probability of being the second beat after u_k (blue bell) and, therefore, the beat u_k+1 is removed from its current position (red cross) and shifted to its most likely position (green dashed circle).