registerMH-methods: Method registerMH

In Airpino/HistDAWass: Histogram-Valued Data Analysis

Method registerMH

Description

registerMH method registers a set of distributions of a MatH object All the distribution are recomputed to obtain distributions sharing the same p slot. This methods is useful for using fast computation of all methods based on L2 Wasserstein metric. The distributions will have the same number of element in the x slot without modifing their density function.

Usage

registerMH(object)

## S4 method for signature 'MatH'
registerMH(object)

Arguments

object

A MatH object (a matrix of distributions)

Value

A MatH object, a matrix of distributions sharing the same p slot (i.e. the same cdf).

Author(s)

Antonio Irpino

References

Irpino, A., Lechevallier, Y. and Verde, R. (2006): Dynamic clustering of histograms using Wasserstein metric In: Rizzi, A., Vichi, M. (eds.) COMPSTAT 2006. Physica-Verlag, Berlin, 869-876.
Irpino, A.,Verde, R. (2006): A new Wasserstein based distance for the hierarchical clustering of histogram symbolic data In: Batanjeli, V., Bock, H.H., Ferligoj, A., Ziberna, A. (eds.) Data Science and Classification, IFCS 2006. Springer, Berlin, 185-192.

Examples

# initialize three distributionH objects mydist1 and mydist2
mydist1 <- new("distributionH", c(1, 2, 3), c(0, 0.4, 1))
mydist2 <- new("distributionH", c(7, 8, 10, 15), c(0, 0.2, 0.7, 1))
mydist3 <- new("distributionH", c(9, 11, 20), c(0, 0.8, 1))
# create a MatH object

MyMAT <- new("MatH", nrows = 1, ncols = 3, ListOfDist = c(mydist1, mydist2, mydist3), 1, 3)
# register the two distributions
MATregistered <- registerMH(MyMAT)
#
# OUTPUT the structure of MATregstered
str(MATregistered)
#   Formal class 'MatH' [package "HistDAWass"] with 1 slots
#   .. @ M:List of 3
#   .. ..$ :Formal class 'distributionH' [package "HistDAWass"] with 4 slots
#   .. .. .. ..@ x: num [1:6] 1 1.5 2 2.5 2.67 ...
#   .. .. .. ..@ p: num [1:6] 0 0.2 0.4 0.7 0.8 1
#   ...
#   .. ..$ :Formal class 'distributionH' [package "HistDAWass"] with 4 slots
#   .. .. .. ..@ x: num [1:6] 7 8 8.8 10 11.7 ...
#   .. .. .. ..@ p: num [1:6] 0 0.2 0.4 0.7 0.8 1
#   ...
#   .. ..$ :Formal class 'distributionH' [package "HistDAWass"] with 4 slots
#   .. .. .. ..@ x: num [1:6] 9 9.5 10 10.8 11 ...
#   .. .. .. ..@ p: num [1:6] 0 0.2 0.4 0.7 0.8 1
#   ...
#   .. ..- attr(*, "dim")= int [1:2] 1 3
#   .. ..- attr(*, "dimnames")=List of 2
#   .. .. ..$ : chr "I1"
#   .. .. ..$ : chr [1:3] "X1" "X2" "X3"
#

Airpino/HistDAWass documentation built on Jan. 30, 2024, 7:53 p.m.