Package: Riemann 0.2.0

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]

Riemann_0.2.0.tar.gz
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Riemann_0.2.0.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
Riemann/json (API)

# 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

Pkgdown/docs site:https://www.kisungyou.com

Uses libs:
  • openblas– Optimized BLAS
  • c++– GNU Standard C++ Library v3
  • openmp– GCC OpenMP (GOMP) support library
Datasets:
  • cities - Data : Populated Cities in the U.S.
  • ERP - Data: xDAWN Covariances of MNE Sample MEG Epochs
  • 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:

Conda:

openblascppopenmp

5.27 score 13 stars 24 scripts 438 downloads 81 exports 80 dependencies

Last updated from:75722d1d09. Checks:15 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-arm64OK299
linux-devel-x86_64OK351
source / vignettesOK511
linux-release-arm64OK287
linux-release-x86_64OK370
macos-release-arm64OK211
macos-release-x86_64OK701
macos-oldrel-arm64OK217
macos-oldrel-x86_64OK756
windows-devel-arm64OK390
windows-devel-x86_64OK387
windows-release-arm64OK389
windows-release-x86_64OK339
windows-oldrel-x86_64OK381
wasm-releaseOK261

Exports:dacgdensitydmacgdsplaplacedspnormgrassmann.optmacggrassmann.runifgrassmann.utestlabelloglkdmle.acgmle.macgmle.splaplacemle.spnormmoSLmoSNracgriem.capabilitiesriem.clrqriem.coreset18Briem.distlpriem.dtwriem.fanovariem.fanovaPriem.geometryriem.hclustriem.interpriem.interpsriem.isomapriem.kmeansriem.kmeans18Briem.kmeansppriem.kmedoidsriem.knnriem.kpcariem.m2skregriem.m2skregCVriem.mdsriem.meanriem.medianriem.nmshiftriem.pdistriem.pdist2riem.pgariem.phateriem.reconstructriem.rmmlriem.sammonriem.sc05Zriem.scNJWriem.scSMriem.scULriem.sebriem.test2bg14riem.test2wassriem.tsneriem.wassersteinrmacgrmvnormrsplaplacerspnormspd.geometryspd.pdistspd.wassbarysphere.geo2xyzsphere.runifsphere.utestsphere.xyz2geostiefel.optSAstiefel.runifstiefel.utestwrap.correlationwrap.euclideanwrap.grassmannwrap.landmarkwrap.multinomialwrap.rotationwrap.spdwrap.spdkwrap.spherewrap.stiefel

Dependencies:ADMMashbackportsbitopscheckmateclarabelcliclustercodetoolscolorspacecpp11CVXRdbscanDEoptimdeSolvedoParallelfarverfastclusterfdafdsFNNforeachgenericsggplot2gluegmpgsignalgtablehdrcdehighsisobanditeratorskernlabKernSmoothkslabdsvlabelinglatticelifecyclelocfitlpSolvemaotaiMASSMatrixmclustmclustcompmgcvmulticoolmvtnormnlmeosqppcaPPpracmaR6rainbowRANNrbibutilsRColorBrewerRcppRcppArmadilloRcppDERcppDistRcppEigenRCurlRdimtoolsRdpackrlangRSpectrarstiefelRtsneS7scalesscatterplot3dscsslamT4clusterT4transportvctrsviridisLitewithr

Descriptive covariance and landmark applications
Event-related covariance matrices | Gorilla skull shape
Rendered fromdata-workflows.Rmdusingknitr::rmarkdown

Last update: 2026-10-02
Started: 2026-10-02

Geometry-consistent statistical workflows
Validate observations and select a geometry | Inspect a numerical summary | Fit, predict, and reconstruct tangent components | Reuse a clustering model | Tune scalar-response regression using every held-out fold | Preserve the fitted state
Rendered fromgeometry-workflows.Rmdusingknitr::rmarkdown

Last update: 2026-10-02
Started: 2026-10-02

Migrating analyses and saved models
Existing names and result fields | Numerical controls are honored | Old regression objects without geometry | Refit old tangent and clustering objects | Domain changes are explicit
Rendered frommigration.Rmdusingknitr::rmarkdown

Last update: 2026-10-02
Started: 2026-10-02

Readme and manuals

Help Manual

Help pageTopics
Riemann packageRiemann-package Riemann
Angular Central Gaussian Distributionacg dacg mle.acg racg
Data : Populated Cities in the U.S.cities
S3 method for mixture model : evaluate densitydensity
Data: xDAWN Covariances of MNE Sample MEG EpochsERP
Data : Gorilla Skullgorilla
Estimation of Distribution Algorithm with MACG Distributiongrassmann.optmacg
Generate Uniform Samples on Grassmann Manifoldgrassmann.runif
Test of Uniformity on Grassmann Manifoldgrassmann.utest
Data : Left Handshands
S3 method for mixture model : predict labelslabel
S3 method for mixture model : log-likelihoodloglkd
Methods for Scalar-Response Kernel Regression Fitsfitted.m2skreg m2skreg-methods print.m2skreg print.summary.m2skreg residuals.m2skreg summary.m2skreg
Matrix Angular Central Gaussian Distributiondmacg macg mle.macg rmacg
Finite Mixture of Spherical Laplace Distributionsdensity.moSL label.moSL loglkd.moSL moSL
Finite Mixture of Spherical Normal Distributionsdensity.moSN label.moSN loglkd.moSN moSN
Data : Normal Vectors to the Orbital Planes of the 9 Planetsorbital
Data : Passiflora Leavespassiflora
Prediction for Manifold-to-Scalar Kernel Regressionpredict.m2skreg
Inspect Wrapped Observations and Geometric Summariesplot.riem_summary print.riemdata print.riem_summary riem-inspect summary.riemdata summary.riem_summary
Method Contracts and Validation Statusriem-method-contracts
Competitive Learning Riemannian Quantizationriem.clrq
Build Lightweight Coresetriem.coreset18B
Distance between Two Curves on Manifoldsriem.distlp
Dynamic Time Warping Distanceriem.dtw
Frechet Analysis of Varianceriem.fanova riem.fanovaP
Inspect and Resolve a Statistical Geometryriem.capabilities riem.geometry
Hierarchical Agglomerative Clusteringriem.hclust
Geodesic Interpolationriem.interp
Geodesic Interpolation of Multiple Pointsriem.interps
Isometric Feature Mappingriem.isomap
K-Means Clusteringpredict.riem_kmeans print.riem_kmeans riem.kmeans summary.riem_kmeans
K-Means Clustering with Lightweight Coresetriem.kmeans18B
K-Means++ Clusteringriem.kmeanspp
K-Medoids Clusteringriem.kmedoids
Find K-Nearest Neighborsriem.knn
Kernel Principal Component Analysisriem.kpca
Manifold-to-Scalar Kernel Regressionriem.m2skreg
Manifold-to-Scalar Kernel Regression with K-Fold Cross Validationriem.m2skregCV
Multidimensional Scalingriem.mds
Frechet Mean and Variationriem.mean
Frechet Median and Variationriem.median
Nonlinear Mean Shiftriem.nmshift
Compute Pairwise Distances for Datariem.pdist
Compute Pairwise Distances for Two Sets of Datariem.pdist2
Tangent Principal Component Analysisplot.riem_pga predict.riem_pga print.riem_pga print.summary.riem_pga riem.pga riem.reconstruct.riem_pga summary.riem_pga
PHATEriem.phate
Reconstruct Manifold Observations from Fitted Coordinatesriem.reconstruct
Riemannian Manifold Metric Learningriem.rmml
Sammon Mappingriem.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 Laplacianriem.scUL
Find the Smallest Enclosing Ballriem.seb
Two-Sample Test modified from Biswas and Ghosh (2014)riem.test2bg14
Two-Sample Test with Wasserstein Metricriem.test2wass
t-distributed Stochastic Neighbor Embeddingriem.tsne
Wasserstein Distance between Empirical Measuresriem.wasserstein
Generate Random Samples from Multivariate Normal Distributionrmvnorm
Supported Geometries on SPD Manifoldspd.geometry
Pairwise Distance on SPD Manifoldspd.pdist
Wasserstein Barycenter of SPD Matricesspd.wassbary
Convert between Cartesian Coordinates and Geographic Coordinatessphere.convert sphere.geo2xyz sphere.xyz2geo
Generate Uniform Samples on Spheresphere.runif
Test of Uniformity on Spheresphere.utest
Spherical Laplace Distributiondsplaplace mle.splaplace rsplaplace splaplace
Spherical Normal Distributiondspnorm mle.spnorm rspnorm spnorm
Simulated Annealing on Stiefel Manifoldstiefel.optSA
Generate Uniform Samples on Stiefel Manifoldstiefel.runif
Test of Uniformity on Stiefel Manifoldstiefel.utest
Prepare Data on Correlation Manifoldwrap.correlation
Prepare Data on Euclidean Spacewrap.euclidean
Prepare Data on Grassmann Manifoldwrap.grassmann
Wrap Landmark Data on Shape Spacewrap.landmark
Prepare Data on Multinomial Manifoldwrap.multinomial
Prepare Data on Rotation Groupwrap.rotation
Prepare Data on Symmetric Positive-Definite (SPD) Manifoldwrap.spd
Prepare Data on Positive Semidefinite Manifold of Fixed Rankwrap.spdk
Prepare Data on Spherewrap.sphere
Prepare Data on (Compact) Stiefel Manifoldwrap.stiefel