Description Usage Arguments Value Examples
View source: R/summaries_dist.R
Given multiple functional summaries Λ_1 (t), Λ_2 (t), …, Λ_N (t), compute L_p distance in a pairwise sense.
1 |
fslist |
a length-N list of functional summaries of persistent diagrams. |
p |
an exponent in [1,∞) (default: 2). |
as.dist |
logical; if TRUE, it returns |
a S3 dist
object or (N\times N) symmetric matrix of pairwise distances according to as.dist
parameter.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 | # ---------------------------------------------------------------------------
# Compute L_2 Distance for 3 Types of Landscapes and Silhouettes
#
# We will compare dim=0,1 with top-5 landscape functions with
# - Class 1 : 'iris' dataset with noise
# - Class 2 : samples from 'gen2holes()'
# - Class 3 : samples from 'gen2circles()'
# ---------------------------------------------------------------------------
## Generate Data and Diagram from VR Filtration
ndata = 10
list_rips = list()
for (i in 1:ndata){
dat1 = as.matrix(iris[,1:4]) + matrix(rnorm(150*4), ncol=4)
dat2 = gen2holes(n=100, sd=1)$data
dat3 = gen2circles(n=100, sd=1)$data
list_rips[[i]] = diagRips(dat1, maxdim=1)
list_rips[[i+ndata]] = diagRips(dat2, maxdim=1)
list_rips[[i+(2*ndata)]] = diagRips(dat3, maxdim=1)
}
## Compute Persistence Landscapes from Each Diagram with k=5 Functions
# We try to get distance in dimensions 0 and 1.
list_land0 = list()
list_land1 = list()
for (i in 1:(3*ndata)){
list_land0[[i]] = diag2landscape(list_rips[[i]], dimension=0, k=5)
list_land1[[i]] = diag2landscape(list_rips[[i]], dimension=1, k=5)
}
## Compute Silhouettes
list_sil0 = list()
list_sil1 = list()
for (i in 1:(3*ndata)){
list_sil0[[i]] = diag2silhouette(list_rips[[i]], dimension=0)
list_sil1[[i]] = diag2silhouette(list_rips[[i]], dimension=1)
}
## Compute L2 Distance Matrices
ldmat0 = fsdist(list_land0, p=2, as.dist=FALSE)
ldmat1 = fsdist(list_land1, p=2, as.dist=FALSE)
sdmat0 = fsdist(list_sil0, p=2, as.dist=FALSE)
sdmat1 = fsdist(list_sil1, p=2, as.dist=FALSE)
## Visualize
opar <- par(no.readonly=TRUE)
par(mfrow=c(2,2), pty="s")
image(ldmat0[,(3*(ndata)):1], axes=FALSE, main="Landscape : dim=0")
image(ldmat1[,(3*(ndata)):1], axes=FALSE, main="Landscape : dim=1")
image(sdmat0[,(3*(ndata)):1], axes=FALSE, main="Silhouette : dim=0")
image(sdmat1[,(3*(ndata)):1], axes=FALSE, main="Silhouette : dim=1")
par(opar)
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