It is known that closing fluxes in the maximum-entropy hierarchy approach a singularity as the region of non-solvability is approached.
The maximum-entropy hierarchy of moment closures holds the promise of robustly hyperbolic stable moment equations, however their are two issues that limit their practical implementation.
One explanation for these improved results could be the relatively low granularity of VCM iconic language with a maximum of six hierarchy levels, whereas the MeSH thesaurus has a maximum of 11 hierarchy levels.
However, considering effective learning on boundary of applying conditions, it may be better to choose the candidate including a material which has the maximum distance in the hierarchy of material classes from the material in the original problem.
Annotation of raw reads was performed in a hierarchy for maximum annotation.
This hierarchy of maximum entropy models allows us to dissect the role of individual behavior, pairwise relations, triplets and so on, since every model adds a unique set of independent constraints.
For each group of mice, we then find a hierarchy of maximum entropy models that gives the minimal description of the mice configurations, relying only on pairwise correlations between mice (p(2)), pairwise and triplewise correlations (p(3)), and all correlations (p(4); pairs, triplets, and quadruplet correlations).
The logarithm version of this approach was suggested in which the similarity between two terms is given by the negative logarithm of the ratio between the length of the shortest path and twice the maximum depth of the hierarchy under consideration [ 6].
We built a hierarchy of maximum entropy models to describe the group configurations, based on successive orders of correlations between the mice (one that relies only on individual behavior of the mice, one that adds pairwise dependencies between mice, third order, etc).
"Some of that stuff, we just go with what sounds awesome: 'Elegant class hierarchies for maximum code reuse and extensibility.' Somebody will say that and everyone nods along... it just sounds funny".
