Depth and Depth-Based Classification with R Package ddalpha

Oleksii Pokotylo

doi:10.18637/jss.v091.i05

Depth and Depth-Based Classification with R Package ddalpha

2019-01-01

19

OA

AI

DOI：10.18637/jss.v091.i05

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Following the seminal idea of Tukey (1975), data depth is a function that measures how close an arbitrary point of the space is located to an implicitly defined center of a data cloud. Having undergone theoretical and computational developments, it is now employed in numerous applications with classification being the most popular one. The R package ddalpha is a software directed to fuse experience of the applicant with recent achievements in the area of data depth and depth-based classification. ddalpha provides an implementation for exact and approximate computation of most reasonable and widely applied notions of data depth. These can be further used in the depth-based multivariate and functional classifiers implemented in the package, where the DD alpha-procedure is in the main focus. The package is expandable with user-defined custom depth methods and separators. The implemented functions for depth visualization and the built-in benchmark procedures may also serve to provide insights into the geometry of the data and the quality of pattern recognition.

Keyword:

data depth

supervised classification

DD-plot

outsiders

visualization

functional classification

ddalpha

Depth and Depth-Based Classification with R Package ddalpha

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