Learning with Data on Riemannian Manifolds

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Documentation for package ‘Riemann’ version 0.1.4

• DESCRIPTION file.
• User guides, package vignettes and other documentation.
• Package NEWS.

Help Pages

acg	Angular Central Gaussian Distribution
cities	Data : Populated Cities in the U.S.
dacg	Angular Central Gaussian Distribution
density	S3 method for mixture model : evaluate density
density.moSL	Finite Mixture of Spherical Laplace Distributions
density.moSN	Finite Mixture of Spherical Normal Distributions
dmacg	Matrix Angular Central Gaussian Distribution
dsplaplace	Spherical Laplace Distribution
dspnorm	Spherical Normal Distribution
ERP	Data : EEG Covariances for Event-Related Potentials
gorilla	Data : Gorilla Skull
grassmann.optmacg	Estimation of Distribution Algorithm with MACG Distribution
grassmann.runif	Generate Uniform Samples on Grassmann Manifold
grassmann.utest	Test of Uniformity on Grassmann Manifold
hands	Data : Left Hands
label	S3 method for mixture model : predict labels
label.moSL	Finite Mixture of Spherical Laplace Distributions
label.moSN	Finite Mixture of Spherical Normal Distributions
loglkd	S3 method for mixture model : log-likelihood
loglkd.moSL	Finite Mixture of Spherical Laplace Distributions
loglkd.moSN	Finite Mixture of Spherical Normal Distributions
macg	Matrix Angular Central Gaussian Distribution
mle.acg	Angular Central Gaussian Distribution
mle.macg	Matrix Angular Central Gaussian Distribution
mle.splaplace	Spherical Laplace Distribution
mle.spnorm	Spherical Normal Distribution
moSL	Finite Mixture of Spherical Laplace Distributions
moSN	Finite Mixture of Spherical Normal Distributions
orbital	Data : Normal Vectors to the Orbital Planes of the 9 Planets
passiflora	Data : Passiflora Leaves
predict.m2skreg	Prediction for Manifold-to-Scalar Kernel Regression
racg	Angular Central Gaussian Distribution
riem.clrq	Competitive Learning Riemannian Quantization
riem.coreset18B	Build Lightweight Coreset
riem.distlp	Distance between Two Curves on Manifolds
riem.dtw	Dynamic Time Warping Distance
riem.fanova	Fréchet Analysis of Variance
riem.fanovaP	Fréchet Analysis of Variance
riem.hclust	Hierarchical Agglomerative Clustering
riem.interp	Geodesic Interpolation
riem.interps	Geodesic Interpolation of Multiple Points
riem.isomap	Isometric Feature Mapping
riem.kmeans	K-Means Clustering
riem.kmeans18B	K-Means Clustering with Lightweight Coreset
riem.kmeanspp	K-Means++ Clustering
riem.kmedoids	K-Medoids Clustering
riem.knn	Find K-Nearest Neighbors
riem.kpca	Kernel Principal Component Analysis
riem.m2skreg	Manifold-to-Scalar Kernel Regression
riem.m2skregCV	Manifold-to-Scalar Kernel Regression with K-Fold Cross Validation
riem.mds	Multidimensional Scaling
riem.mean	Fréchet Mean and Variation
riem.median	Fréchet Median and Variation
riem.nmshift	Nonlinear Mean Shift
riem.pdist	Compute Pairwise Distances for Data
riem.pdist2	Compute Pairwise Distances for Two Sets of Data
riem.pga	Principal Geodesic Analysis
riem.phate	PHATE
riem.rmml	Riemannian Manifold Metric Learning
riem.sammon	Sammon Mapping
riem.sc05Z	Spectral Clustering by Zelnik-Manor and Perona (2005)
riem.scNJW	Spectral Clustering by Ng, Jordan, and Weiss (2002)
riem.scSM	Spectral Clustering by Shi and Malik (2000)
riem.scUL	Spectral Clustering with Unnormalized Laplacian
riem.seb	Find the Smallest Enclosing Ball
riem.test2bg14	Two-Sample Test modified from Biswas and Ghosh (2014)
riem.test2wass	Two-Sample Test with Wasserstein Metric
riem.tsne	t-distributed Stochastic Neighbor Embedding
riem.wasserstein	Wasserstein Distance between Empirical Measures
rmacg	Matrix Angular Central Gaussian Distribution
rmvnorm	Generate Random Samples from Multivariate Normal Distribution
rsplaplace	Spherical Laplace Distribution
rspnorm	Spherical Normal Distribution
spd.geometry	Supported Geometries on SPD Manifold
spd.pdist	Pairwise Distance on SPD Manifold
spd.wassbary	Wasserstein Barycenter of SPD Matrices
sphere.convert	Convert between Cartesian Coordinates and Geographic Coordinates
sphere.geo2xyz	Convert between Cartesian Coordinates and Geographic Coordinates
sphere.runif	Generate Uniform Samples on Sphere
sphere.utest	Test of Uniformity on Sphere
sphere.xyz2geo	Convert between Cartesian Coordinates and Geographic Coordinates
splaplace	Spherical Laplace Distribution
spnorm	Spherical Normal Distribution
stiefel.optSA	Simulated Annealing on Stiefel Manifold
stiefel.runif	Generate Uniform Samples on Stiefel Manifold
stiefel.utest	Test of Uniformity on Stiefel Manifold
wrap.correlation	Prepare Data on Correlation Manifold
wrap.euclidean	Prepare Data on Euclidean Space
wrap.grassmann	Prepare Data on Grassmann Manifold
wrap.landmark	Wrap Landmark Data on Shape Space
wrap.multinomial	Prepare Data on Multinomial Manifold
wrap.rotation	Prepare Data on Rotation Group
wrap.spd	Prepare Data on Symmetric Positive-Definite (SPD) Manifold
wrap.spdk	Prepare Data on SPD Manifold of Fixed-Rank
wrap.sphere	Prepare Data on Sphere
wrap.stiefel	Prepare Data on (Compact) Stiefel Manifold