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Overall, the generated cluster tree preserved distance measurements between pairs of data objects, having a cophenetic correlation coefficient of 0.97.
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By contrast, Socrates argues, a simple narration preserves distance between narrator and narrated.
Therefore, in this experiment, on the premise of preserving distance feature, the GDEWRM is faster than GDEWORM.
Some metric spaces admit the action of groups that preserve distance, others do not, but distance can be defined without talking about a group.
Traditional unsupervised hashing methods are designed for preserving distance metric similarity which may lead to semantic gap among the high-level semantic similarities.
In contrast, for the purpose of preserving distance feature, we should choose a very large penalty parameter for GDEWORM, which limits the speed of LSF evolution.
Such a manifold preserves distance relationships of the data, subject to the constraints of the nearest-neighbor graph and the locally (but not globally) linear embeddings that describe it.
In the Poincare disk the conformal transformations preserve distance relationships, rotations about the center being a special case.
Note that this is very different from measuring projections of a sample's SAMM along mechanistic or any other non-orthogonal signatures, since this procedure will not preserve distance.
The geographic locations of each postal code from the PCCF and the hospital are recorded in latitude and longitude; therefore, in order to implement distance computations, the road network is projected using an equidistant projection system, which is chosen in order to preserve distance and produce consistent distance measurements [ 26].
MDS attempts to preserve distances in high dimensional space with those lower dimensional space.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com