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Actually, T * not only defines the ordering relationship within each class but also the neighboring relationship between two different classes.
As a result, the manifold topology is reduced to a specific ordering relationship of training targets along the 1D closed identity manifold.
That is, power is decreased where the investigator falsely assumes an a priori ordering relationship.
Thus we introduce a class-constrained shortest-closed-path method to find a unique ordering relationship for the training targets.
Finding an appropriate ordering relationship among a set of targets is the key to learning a valid identity manifold for effective shape interpolation.
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Associative measurement procedures are based on a correlation of two ordering relationships, e.g., the correlation between the volume of a mercury column and its temperature.
The SOPH approach also recovers the ultrametric temporal ordering relationships between duplication events well, without using any direct information about sequence or branch lengths.
The ordered relationship between tumor grade and position along the PC-3 axis is highly significant (Spearman rank-order correlation coefficient rs = 0.88, p = 0.003).
Moreover, the KTMB test offers built in protection for the situation when an investigator falsely assumes an a priori ordered relationship.
The ordered relationships between states arise when identifying subgroups with shared functioning levels for a function.
The ordered relationships between ablation groups and growth reductions in pallium observed at E18 were also demonstrated in anatomical maps.
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