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The Ethereal
Uniform Transformation of Non-Separable Probability Distributions
August 16, 2016 ยท Declared Dead ยท ๐ arXiv.org
"No code URL or promise found in abstract"
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Authors
Eric Kee
arXiv ID
1609.01982
Category
cs.NE: Neural & Evolutionary
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
A theoretical framework is developed to describe the transformation that distributes probability density functions uniformly over space. In one dimension, the cumulative distribution can be used, but does not generalize to higher dimensions, or non-separable distributions. A potential function is shown to link probability density functions to their transformation, and to generalize the cumulative. A numerical method is developed to compute the potential, and examples are shown in two dimensions.
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