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Classification of histogram-valued data with support histogram machines
Journal of Applied Statistics, 2021The current large amounts of data and advanced technologies have produced new types of complex data, such as histogram-valued data. The paper focuses on classification problems when predictors are observed as or aggregated into histograms. Because conventional classification methods take vectors as input, a natural approach converts histograms into ...
Ilsuk, Kang+5 more
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We consider the well-known problem of how to arrange coins in a fountain and generalize it, by using combinatorial objects known as staircase polyominoes or p-histograms. We show how it is possible to obtain an asymptotic formula approximating the number of p-histograms of area n, as n → ∞.
MERLINI, DONATELLA, SPRUGNOLI, RENZO
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While in the continuous case, statistical models of histogram equalization/specification would yield exact results, their discrete counterparts fail. This is due to the fact that the cumulative distribution functions one deals with are not exactly invertible.
Coltuc, Dinu+2 more
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When constructing a histogram, it is common to make all bars the same width. One could also choose to make them all have the same area. These two options have complementary strengths and weaknesses; the equal-width histogram oversmooths in regions of high density, and is poor at identifying sharp peaks; the equal-area histogram oversmooths in regions ...
Lorraine Denby, Colin L. Mallows
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