WPT is a generalization of the DWT, which is a particular path (left path) in the structure tree of Figure 6.
The entropy of the decomposition structures of a resolution corresponds to the entropy of the tree of Figure 10, the depth of the resolution has to be considered for the split-probability in sub-tree C g - d, which is indicated by the notation C g - d ( p d ).
Continuing with our example, the candidate tree shown in Figure 11 is obtained by applying Algorithm 1 to the full path tree of Figure 8. Next, we show how Algorithm 2 can be applied to this candidate tree to create the forwarder list.
Indeed and more consistently, in the tree of Figure S4, OUL and RMG were clearly separated from other EUR breeds.
Then the test set subject was classified using our 5-NN algorithm and the decision tree of Figure 1.
These three parameters, together with the spread ratio defined in Equation (1), control the decision tree of Figure 5 that classifies spine shapes.
For instance, in order to classify an "unknown" Red Angus individual using the decision tree of Figure 1 (see also Tables 1 and 2), we first determine whether the individual is part of the B. taurus group.
A Mid-rooting point has been used for the tree of Figure 1, while that of Figure 2 was built and rooted by using a Bos grunniens (yak) and a Bison bison (American bison) mitochondrial genome, as previously described [9].
Consistently, some historical data established a connection between CHA and the South-Western France blonde breeds as in the tree of Figure 4 [33] while the most commonly accepted theory used to associate CHA with the Jurassic group (represented in our study by MON and VOS in our study) [32].
The tree of the WAG model (Figure S3), which locates acoels as a sister-group to platyhelminths, implies at least three independent losses, whereas the tree of Figure 1 implies a single loss in the protostomes, after the emergence of chaetognaths.
