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ddalpha

Depth-Based Classification and Calculation of Data Depth

Contains procedures for depth-based supervised learning, which are entirely non-parametric, in particular the DDalpha-procedure (Lange, Mosler and Mozharovskyi, 2014 <doi:10.1007/s00362-012-0488-4>). The training data sample is transformed by a statistical depth function to a compact low-dimensional space, where the final classification is done. It also offers an extension to functional data and routines for calculating certain notions of statistical depth functions. 50 multivariate and 5 functional classification problems are included. (Pokotylo, Mozharovskyi and Dyckerhoff, 2019 <doi:10.18637/jss.v091.i05>).

Functions (79)

Cmetric

Fast Computation of the Uniform Metric for Sets of Functional Data

CustomMethods

Using Custom Depth Functions and Classifiers

FKS

Fast Kernel Smoothing

L2metric

Fast Computation of the L^2 Metric for Sets of Functional Data

compclassf.classify

Classify using Functional Componentwise Classifier

compclassf.train

Functional Componentwise Classifier

dataf

Converts data from fdata class to the functional class.

dataf..html

Functional Data Sets

dataf.geneexp

Gene Expression Profile Data

dataf.growth

Berkeley Growth Study Data

dataf.medflies

Relationship of Age Patterns of Fecundity to Mortality for Female Medflies.

dataf.population

World Historical Population-by-Country Dataset

dataf.population2010

World Historical Population-by-Country Dataset (2010 Revision)

dataf.sim.1.CFF07

Model 1 from Cuevas et al. (2007)

dataf.sim.2.CFF07

Model 2 from Cuevas et al. (2007)

dataf.tecator

Functional Data Set Spectrometric Data (Tecator)

dataf2rawfd

Transform a dataf Object to Raw Functional Data

ddalpha-package

Depth-Based Classification and Calculation of Data Depth

ddalpha.classify

Classify using DD-Classifier

ddalpha.getErrorRateCV

Test DD-Classifier

ddalpha.getErrorRatePart

Test DD-Classifier

ddalpha.test

Test DD-Classifier

ddalpha.train

Train DD-Classifier

ddalphaf.classify

Classify using Functional DD-Classifier

ddalphaf.getErrorRateCV

Test Functional DD-Classifier

ddalphaf.getErrorRatePart

Test Functional DD-Classifier

ddalphaf.test

Test Functional DD-Classifier

ddalphaf.train

Functional DD-Classifier

depth..html

Calculate Depth

depth.L2

Calculate L2-Depth

depth.Mahalanobis

Calculate Mahalanobis Depth

depth.betaSkeleton

Calculate Beta-Skeleton Depth

depth.contours

Depth Contours

depth.contours.ddalpha

Depth Contours

depth.graph

Depth Graph

depth.halfspace

Calculate Halfspace Depth

depth.potential

Calculate Potential of the Data

depth.projection

Calculate Projection Depth

depth.qhpeeling

Calculate Convex Hull Peeling Depth

depth.sample

Fast Depth Computation for Univariate and Bivariate Random Samples

depth.simplicial

Calculate Simplicial Depth

depth.simplicialVolume

Calculate Simplicial Volume Depth

depth.space..html

Calculate Depth Space using the Given Depth

depth.space.Mahalanobis

Calculate Depth Space using Mahalanobis Depth

depth.space.halfspace

Calculate Depth Space using Halfspace Depth

depth.space.potential

Calculate Potential Space

depth.space.projection

Calculate Depth Space using Projection Depth

depth.space.simplicial

Calculate Depth Space using Simplicial Depth

depth.space.simplicialVolume

Calculate Depth Space using Simplicial Volume Depth

depth.space.spatial

Calculate Depth Space using Spatial Depth

depth.space.zonoid

Calculate Depth Space using Zonoid Depth

depth.spatial

Calculate Spatial Depth

depth.zonoid

Calculate Zonoid Depth

depthf..html

Calculate Functional Depth

depthf.ABD

Adjusted Band Depth for Functional Data

depthf.BD

Band Depth for Functional Data

depthf.HR

Half-Region Depth for Functional Data

depthf.RP1

Univariate Random Projection Depths for Functional Data

depthf.RP2

Bivariate Random Projection Depths for Functional Data

depthf.fd1

Univariate Integrated and Infimal Depth for Functional Data

depthf.fd2

Bivariate Integrated and Infimal Depth for Functional Data

depthf.hM

h-Mode Depth for Functional Data

depthf.hM2

Bivariate h-Mode Depth for Functional Data Based on the L^2 Metric

depthf.simplicialBand

Calculate Simplicial Band Depth

derivatives.est

Estimation of the First Two Derivatives for Functional Data

dknn.classify

Depth-Based kNN

dknn.classify.trained

Depth-Based kNN

dknn.train

Depth-Based kNN

draw.ddplot

Draw DD-Plot

getdata

Data for Classification

infimalRank

Adjusted Ranking of Functional Data Based on the Infimal Depth

is.in.convex

Check Outsiderness

plot.ddalpha

Plots for the "ddalpha" Class

plot.ddalphaf

Plots for the "ddalphaf" Class

plot.functional

Plot functions for the Functional Data

rawfd2dataf

Transform Raw Functional Data to a dataf Object

resetPar

Reset Graphical Parameters

shape.fd.analysis

Diagnostic Plot for First and Second Order Integrated and Infimal Depths

shape.fd.outliers

Functional Depth-Based Shape Outlier Detection

ddalpha

Depth-Based Classification and Calculation of Data Depth

v1.3.11

GPL-2

Authors

Oleksii Pokotylo [aut, cre], Pavlo Mozharovskyi [aut], Rainer Dyckerhoff [aut], Stanislav Nagy [aut]

Initial release

2020-01-09

ddalpha

Functions (79)

ddalpha

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