In this particular case the domain generalization hierarchy is not totally ordered [ 82] because multiple MRDx codes can generalize to a single CMG_CODE, and a CMG_CODE can be specialized into multiple possible MRDx codes.
For example, the generalization hierarchy in panel (b) of Figure 3 shows a diagnosis code hierarchy whereby each MRDx value generalizes to a single DIAG3 value, where DIAG3 consists of the first three characters of the diagnosis code.
Teh et al. (2006) describe how an HDP can be extended to include multiple levels of hierarchy and be generalized to a tree-like hierarchy.
The lattice intervals of the hierarchy are generalized to arbitrary functions of corresponding independent variables.
Having generalized the first-level hierarchy into "output kth step of the pyramid" with the variable k, the learner moves on to the deeper levels such as "output N-k spaces" or "output 2k-1 asterisks".
In the paper, we would like to employ the first matrix loop algebra to generate ((1+1))- and ((2+1))-dimensional integrable discrete hierarchies, which generalize some results obtained in [14], furthermore, we also obtain a positive and negative integrable discrete hierarchy which implements the well-known results presented in [10, 13, 16, 17, 19 22].
This hierarchy, founded on a pharmacological model of therapy, is generalized to other interventions which may be complex and non-pharmacological (healing, acupuncture and surgery).
We make use of the first loop algebra to obtain a new ((1+1))-dimensional integrable discrete hierarchy, which generalizes a result given by Gordoa et al., whose reduction is a discrete modified KdV system.
Additionally, we elucidated a hierarchy of stimuli regarding functional groups, where ants trained to alcohols generalized to aldehydes and ketones of similar or shorter length.
