Package: Riemann 0.1.5

Riemann: Learning with Data on Riemannian Manifolds

We provide a variety of algorithms for manifold-valued data, including Fréchet summaries, hypothesis testing, clustering, visualization, and other learning tasks. See Bhattacharya and Bhattacharya (2012) <doi:10.1017/CBO9781139094764> for general exposition to statistics on manifolds.

Authors:Kisung You [aut, cre]

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Riemann/json (API)
NEWS

# Install 'Riemann' in R:

install.packages('Riemann', repos = c('https://kisungyou.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/kisungyou/riemann/issues

Uses libs:

openblas– Optimized BLAS
c++– GNU Standard C++ Library v3
openmp– GCC OpenMP (GOMP) support library

Datasets:

ERP - Data : EEG Covariances for Event-Related Potentials
cities - Data : Populated Cities in the U.S.
gorilla - Data : Gorilla Skull
hands - Data : Left Hands
orbital - Data : Normal Vectors to the Orbital Planes of the 9 Planets
passiflora - Data : Passiflora Leaves

On CRAN:

3.70 score 10 stars 8 scripts 199 downloads 80 exports 109 dependencies

Last updated 2 years agofrom:3c39661818. Checks:OK: 1 WARNING: 8. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Nov 02 2024
R-4.5-win-x86_64	WARNING	Nov 02 2024
R-4.5-linux-x86_64	WARNING	Nov 02 2024
R-4.4-win-x86_64	WARNING	Nov 02 2024
R-4.4-mac-x86_64	WARNING	Nov 02 2024
R-4.4-mac-aarch64	WARNING	Nov 02 2024
R-4.3-win-x86_64	WARNING	Nov 02 2024
R-4.3-mac-x86_64	WARNING	Nov 02 2024
R-4.3-mac-aarch64	WARNING	Nov 02 2024

Exports:dacg density dmacg dsplaplace dspnorm grassmann.optmacg grassmann.runif grassmann.utest label loglkd mle.acg mle.macg mle.splaplace mle.spnorm moSL moSN racg riem.clrq riem.coreset18B riem.distlp riem.dtw riem.fanova riem.fanovaP riem.geary riem.hclust riem.interp riem.interps riem.isomap riem.kmeans riem.kmeans18B riem.kmeanspp riem.kmedoids riem.knn riem.kpca riem.m2skreg riem.m2skregCV riem.mds riem.mean riem.median riem.moran riem.nmshift riem.pdist riem.pdist2 riem.pga riem.phate riem.rmml riem.sammon riem.sc05Z riem.scNJW riem.scSM riem.scUL riem.seb riem.test2bg14 riem.test2wass riem.tsne riem.wasserstein rmacg rmvnorm rsplaplace rspnorm spd.geometry spd.pdist spd.wassbary sphere.geo2xyz sphere.runif sphere.utest sphere.xyz2geo stiefel.optSA stiefel.runif stiefel.utest wrap.correlation wrap.euclidean wrap.grassmann wrap.landmark wrap.multinomial wrap.rotation wrap.spd wrap.spdk wrap.sphere wrap.stiefel

Dependencies:ADMM ash base64enc bit bit64 bitops bslib cachem clarabel cli cluster codetools colorspace CVXR dbscan DEoptim deSolve digest doParallel ECOSolveR evaluate fansi farver fastcluster fastmap fda fds FNN fontawesome foreach fs generics ggplot2 glue gmp gtable hdrcde highr htmltools htmlwidgets isoband iterators jquerylib jsonlite kernlab KernSmooth knitr ks labdsv labeling lattice lifecycle locfit lpSolve magrittr maotai MASS Matrix mclust mclustcomp memoise mgcv mime minpack.lm multicool munsell mvtnorm nlme osqp pcaPP pillar pkgconfig pracma R6 rainbow RANN rappdirs rbibutils RColorBrewer Rcpp RcppArmadillo RcppDE RcppDist RcppEigen RCurl Rdimtools Rdpack rgl RiemBase rlang rmarkdown Rmpfr RSpectra rstiefel Rtsne sass scales scatterplot3d scs shapes T4cluster tibble tinytex utf8 vctrs viridisLite withr xfun yaml

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
Angular Central Gaussian Distribution	acg dacg mle.acg racg
Data : Populated Cities in the U.S.	cities
S3 method for mixture model : evaluate density	density
Data : EEG Covariances for Event-Related Potentials	ERP
Data : Gorilla Skull	gorilla
Estimation of Distribution Algorithm with MACG Distribution	grassmann.optmacg
Generate Uniform Samples on Grassmann Manifold	grassmann.runif
Test of Uniformity on Grassmann Manifold	grassmann.utest
Data : Left Hands	hands
S3 method for mixture model : predict labels	label
S3 method for mixture model : log-likelihood	loglkd
Matrix Angular Central Gaussian Distribution	dmacg macg mle.macg rmacg
Finite Mixture of Spherical Laplace Distributions	density.moSL label.moSL loglkd.moSL moSL
Finite Mixture of Spherical Normal Distributions	density.moSN label.moSN loglkd.moSN moSN
Data : Normal Vectors to the Orbital Planes of the 9 Planets	orbital
Data : Passiflora Leaves	passiflora
Prediction for Manifold-to-Scalar Kernel Regression	predict.m2skreg
Competitive Learning Riemannian Quantization	riem.clrq
Build Lightweight Coreset	riem.coreset18B
Distance between Two Curves on Manifolds	riem.distlp
Dynamic Time Warping Distance	riem.dtw
Fréchet Analysis of Variance	riem.fanova riem.fanovaP
Geary's _C_	riem.geary
Hierarchical Agglomerative Clustering	riem.hclust
Geodesic Interpolation	riem.interp
Geodesic Interpolation of Multiple Points	riem.interps
Isometric Feature Mapping	riem.isomap
K-Means Clustering	riem.kmeans
K-Means Clustering with Lightweight Coreset	riem.kmeans18B
K-Means++ Clustering	riem.kmeanspp
K-Medoids Clustering	riem.kmedoids
Find K-Nearest Neighbors	riem.knn
Kernel Principal Component Analysis	riem.kpca
Manifold-to-Scalar Kernel Regression	riem.m2skreg
Manifold-to-Scalar Kernel Regression with K-Fold Cross Validation	riem.m2skregCV
Multidimensional Scaling	riem.mds
Fréchet Mean and Variation	riem.mean
Fréchet Median and Variation	riem.median
Moran's _I_	riem.moran
Nonlinear Mean Shift	riem.nmshift
Compute Pairwise Distances for Data	riem.pdist
Compute Pairwise Distances for Two Sets of Data	riem.pdist2
Principal Geodesic Analysis	riem.pga
PHATE	riem.phate
Riemannian Manifold Metric Learning	riem.rmml
Sammon Mapping	riem.sammon
Spectral Clustering by Zelnik-Manor and Perona (2005)	riem.sc05Z
Spectral Clustering by Ng, Jordan, and Weiss (2002)	riem.scNJW
Spectral Clustering by Shi and Malik (2000)	riem.scSM
Spectral Clustering with Unnormalized Laplacian	riem.scUL
Find the Smallest Enclosing Ball	riem.seb
Two-Sample Test modified from Biswas and Ghosh (2014)	riem.test2bg14
Two-Sample Test with Wasserstein Metric	riem.test2wass
t-distributed Stochastic Neighbor Embedding	riem.tsne
Wasserstein Distance between Empirical Measures	riem.wasserstein
Generate Random Samples from Multivariate Normal Distribution	rmvnorm
Supported Geometries on SPD Manifold	spd.geometry
Pairwise Distance on SPD Manifold	spd.pdist
Wasserstein Barycenter of SPD Matrices	spd.wassbary
Convert between Cartesian Coordinates and Geographic Coordinates	sphere.convert sphere.geo2xyz sphere.xyz2geo
Generate Uniform Samples on Sphere	sphere.runif
Test of Uniformity on Sphere	sphere.utest
Spherical Laplace Distribution	dsplaplace mle.splaplace rsplaplace splaplace
Spherical Normal Distribution	dspnorm mle.spnorm rspnorm spnorm
Simulated Annealing on Stiefel Manifold	stiefel.optSA
Generate Uniform Samples on Stiefel Manifold	stiefel.runif
Test of Uniformity on Stiefel Manifold	stiefel.utest
Prepare Data on Correlation Manifold	wrap.correlation
Prepare Data on Euclidean Space	wrap.euclidean
Prepare Data on Grassmann Manifold	wrap.grassmann
Wrap Landmark Data on Shape Space	wrap.landmark
Prepare Data on Multinomial Manifold	wrap.multinomial
Prepare Data on Rotation Group	wrap.rotation
Prepare Data on Symmetric Positive-Definite (SPD) Manifold	wrap.spd
Prepare Data on SPD Manifold of Fixed-Rank	wrap.spdk
Prepare Data on Sphere	wrap.sphere
Prepare Data on (Compact) Stiefel Manifold	wrap.stiefel