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Over the last year or two the venue has really evolved in terms of comfort for its patrons, quality of projection for its films, and originality in its programming.
Presented during Art Basel Miami Beach week, the scale of the work in this second edition of the projection, lighting, and mapping-focused exhibition, Form and Substance, was tricky in terms of parameters regarding the quality of projection resolution.
On the other hand, for any distance-preserving algorithm the quality of projection reduces with decrease of the dimension q.
It can look hyper-real or exaggerated or lack that movie-theatre film quality of projection TVs.
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The quality of Isomap projection improved as the projection became less and less local, from 17±4%4% for isomap based on 3 closest neighbors for each point, to 36±7%7% based on 20 closest neighbors; still it was substantially lower than for PCA.
"This may be due to greater opacity of the fluid in the eye, which will scatter incoming light and reduce the quality of the projection of light onto the retina.
The quality of the projection is validated through the classification results obtained for four performance metrics when applied to Standard & Poors, Moody's and Fitch sovereign rating data of U27 countries during the period 2007 2010.
Possibly, the dimension q=10 is not enough to achieve sufficient quality of the projection in contrast to q=20.
The quality of the projection is measured by the Sammon stress metric (n.b. we are using a reduced form here, neglecting a denominator often employed): E = ∑ i N ∑ j N (d i j ∗ − d i j ) 2, where d ij = || y i - y j || and d i j ∗ = || x i - x j || represent the inter-point distances in projection space and data space respectively.
It is well known that the quality of the projection depends strongly on the quality of the SDM, with all the known issues of e.g. microrefugia below SDM resolution where the genetic variation is at least partially preserved and local adaptation to the new conditions is possible.
We do not have a ground truth to evaluate the quality of our projections.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com