Two and three dimensional data representing two half discs

Description

Two and three dimensional data and their hierarchical modal clustering with 400 observations where the first two dimensions represent the shape of two discs.

Usage

data(disc2d)
data(disc2d.hmac)
data(disc3d)
data(disc3d.hmac)

Format

disc2d and disc3d are two and three dimensional matrices. disc2d.hmac and disc3d.hmac are objects of class hmac obtained from applying phmac on disc2d and disc3d respectively

Details

Two dimensional data with 400 observations representing the shape of two half discs.

Author(s)

Surajit Ray and Yansong Cheng

References

Li. J, Ray. S, Lindsay. B. G, "A nonparametric statistical approach to clustering via mode identification," Journal of Machine Learning Research , 8(8):1687-1723, 2007.

Lindsay, B.G., Markatou M., Ray, S., Yang, K., Chen, S.C. "Quadratic distances on probabilities: the foundations," The Annals of Statistics Vol. 36, No. 2, page 983–1006, 2008.

Examples

data(disc2d)
plot(disc2d)
data(disc2d.hmac)
summary.hmac(disc2d.hmac)
hard.hmac(disc2d.hmac,n.clust=2)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> library(Modalclust)
Loading required package: mvtnorm
Loading required package: zoo

Attaching package: 'zoo'

The following objects are masked from 'package:base':

    as.Date, as.Date.numeric

Loading required package: class
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/Modalclust/disc2d.Rd_%03d_medium.png", width=480, height=480)
> ### Name: disc2d
> ### Title: Two and three dimensional data representing two half discs
> ### Aliases: disc2d disc3d disc2d.hmac disc3d.hmac
> ### Keywords: data
> 
> ### ** Examples
> 
> data(disc2d)
> plot(disc2d)
> data(disc2d.hmac)
> summary.hmac(disc2d.hmac)
At levels 1 2 3  there are  4 3 2  clusters respectively 
 
The modes of each level of clusters are 
 
Modes at level  1 
         X1         X2
1 0.4991193  0.4112484
2 1.4563997  0.9594475
3 2.9902405 -0.8986439
4 4.4219625 -0.1451180

Modes at level  2 
         X1         X2
1 0.5184229  0.4269087
2 1.4780928  0.9519243
3 3.0214890 -0.8986338

Modes at level  3 
        X1         X2
1 1.502569  0.9424770
2 3.049604 -0.8960544

> hard.hmac(disc2d.hmac,n.clust=2)
The level at which there are 2 clusters is 3 
> 
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> dev.off()
null device 
          1 
>