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Rather than the spherical harmonics, the spherical slepian functions can be employed to produce the locally and globally orthogonal bases to optimally represent the data in any arbitrary region up to a given degree.
As data is added, the generated categories are constantly modified and sharpened in order to optimally represent the data.
PCA seeks to optimally represent the data in terms of the minimal reconstruction error, i.e., the mean-square-error between the representation and the original data, hence projecting onto the first eigenvectors of the covariance matrix of the inputs.
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The aim of the tailoring process is to generate few scenarios that can optimally represent the spectrum of climate scenarios.
Fifty colorful genotypes from the agromorphological core-collection defined by Barnaud et al. [ 33] were selected to optimally represent the diversity in anthocyanin methylation level.
Modeling DFG-out structures using a single template may not optimally represent the ensemble of conformations of the N/C-lobes.
PCA is a technique that estimates a subset of variables that optimally represent the commonality of a more general set of indicators.
The simplest form of a biplot is the Principal component analysis (PCA) biplot which optimally represents the variation in a data matrix [ 1].
On the other hand, at the end of the optimization, the cell locations in the atlas should optimally represent all image voxels.
This theory is based on the observation that each visual neuron in the extrastriate cortex seems to be able to optimally represent only one object at a time.
Each such mode may be viable as representing an architectural object just in case some features of the object are adequately, accurately, regularly, and optimally represented through the mode.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com