Inference, Learning, and Optimization on Grassmann Manifold

Grassmann manifold is a set of k-planes or linear subspaces in Euclidean space. We provide algorithms for statistical inference, optimization, and learning over the Grassmann manifold. For general exposition to the statistics on the manifold, see the book by Chikuse (2003) <doi:10.1007/978-0-387-21540-2>.

Readme

Inference, Learning, and Optimization on Grassmann manifold

Grassmannian is a set of linear subspaces, which forms a Riemannian manifold. We provide algorithms for statistical inference, optimization, and learning over the Grassmann manifold.

Installation

You can install the released version of RiemGrassmann from CRAN with:

install.packages("RiemGrassmann")

And the development version from GitHub with:

# install.packages("devtools")
devtools::install_github("kyoustat/RiemGrassmann")

Available Functions

function	description
`gr.hclust`	Hierarchical clustering.
`gr.kmedoids`	k-Medoids clustering.
`gr.mean`	Frechet mean and variation.
`gr.pdist`	Pairwise distance for Grassmann-valued data
`gr.pdist2`	Pairwise distance between two sets of data

Functions in RiemGrassmann

Name	Description
package-RiemGrassmann	Inference, Learning, and Optimization on Grassmann Manifold
gr.pdist2	Pairwise Distance for Two Sets Data on Grassmann Manifold
gr.kmedoids	k-Medoids Clustering on Grassmann Manifold
gr.pdist	Pairwise Distance for Data on Grassmann Manifold
gr.mean	Fr<U+00E9>chet Mean on Grassmann Manifold
gr.hclust	Hierarchical Agglomerative Clustering on Grassmann Manifold
No Results!

Name

Description

package-RiemGrassmann

Inference, Learning, and Optimization on Grassmann Manifold

gr.pdist2

Pairwise Distance for Two Sets Data on Grassmann Manifold

gr.kmedoids

k-Medoids Clustering on Grassmann Manifold

gr.pdist

Pairwise Distance for Data on Grassmann Manifold

gr.mean

Fr<U+00E9>chet Mean on Grassmann Manifold

gr.hclust

Hierarchical Agglomerative Clustering on Grassmann Manifold

No Results!

Details

Type	Package
Encoding	UTF-8
License	GPL (>= 3)
LinkingTo	Rcpp, RcppArmadillo, RiemBase
RoxygenNote	7.0.2
NeedsCompilation	yes
Packaged	2020-03-25 15:26:03 UTC; kisung
Repository	CRAN
Date/Publication	2020-03-25 15:50:06 UTC

imports	Rcpp , RiemBase , RiemBaseExt , stats , utils
linkingto	RcppArmadillo
Contributors

RiemGrassmann v0.1.0