riemfactory: Prepare a S3 Class Object 'riemdata'

In RiemBase: Functions and C++ Header Files for Computation on Manifolds

Description

Most of the functions for RiemBase package require data to be wrapped as a riemdata class. Since manifolds of interests endow data points with specific constraints, the function riemfactory first checks the requirements to characterize the manifold and then wraps the data into riemdata class, which is simply a list of manifold-valued data and the name of manifold. Manifold name input is, fortunately, case-insensitive.

Usage

riemfactory(
  data,
  name = c("euclidean", "grassmann", "spd", "sphere", "stiefel")
)

Arguments

data

data to be wrapped as riemdata class. Following input formats are considered, 2D array an (m\times p) matrix where data are stacked in columns over 2nd dimension. Appropriate for vector-valued Euclidean or Sphere manifold case. 3D array an (m\times n\times p) matrix where data are stacked in slices over 3rd dimension. list unnamed list where each element of the list is a single data point. Sizes of all elements must match.

name

the name of Riemmanian manifold for data to which data belong.

Value

a named riemdata S3 object containing

data

a list of manifold-valued data points.

size

size of each data matrix.

name

name of the manifold of interests.

Examples

# Test with Sphere S^2 in R^3 example
## Prepare a matrix and list of 20 samples on S^2
sp.mat  = array(0,c(3,20)) # each vector will be recorded as a column
sp.list = list()
for (i in 1:20){
  tgt = rnorm(3)               # sample random numbers
  tgt = tgt/sqrt(sum(tgt*tgt)) # normalize
  
  sp.mat[,i]   = tgt   # record it as column vector
  sp.list[[i]] = tgt   # record it as an element in a list
}

## wrap it using 'riemfactory'
rsp1 = riemfactory(sp.mat, name="Sphere")
rsp2 = riemfactory(sp.list, name="spHeRe")

RiemBase documentation built on Aug. 21, 2021, 5:07 p.m.