Cross validation for estimating the classification rate
Cross validation for estimating the classification rate
Circular correlations between one and many circular variables
Circular correlations between two circular variables
Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions
Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions
Density of the spherical ESAG and Kent distributions
Density of the spherical ESAG and Kent distributions
The k-nearest neighbours using the cosinus distance
The k-nearest neighbours using the cosinus distance
Density of some circular distributions
Density of some circular distributions
MLE of the ESAG distribution
MLE of the ESAG distribution
Spherical regression using the ESAG distribution
Spherical regression using the ESAG distribution
Density of some (hyper-)spherical distributions
Density of some (hyper-)spherical distributions
Density of the Wood bimodal distribution on the sphere
Density of the Wood bimodal distribution on the sphere
k-NN algorithm using the arc cosinus distance
k-NN algorithm using the arc cosinus distance
Density of the SESPC distribution
Density of the SESPC distribution
Saddlepoint approximations of the Fisher-Bingham distributions
Saddlepoint approximations of the Fisher-Bingham distributions
Column-wise uniformity Watson test for circular data
Column-wise uniformity tests for circular data
Tuning of the k-NN algorithm using the arc cosinus distance
k-NN algorithm using the arc cosinus distance. Tuning the k neigbours
Circular distance correlation between two circular variables
Circular distance correlation between two circular variables
Hypothesis test for von Mises-Fisher distribution over Kent distribution
Hypothesis test for von Mises-Fisher distribution over Kent distribution
Density of a mixture of von Mises-Fisher distributions
Density of a mixture of von Mises-Fisher distributions
Prediction in discriminant analysis based on ESAG distribution
Prediction of a new observation using discriminant analysis based on ESAG distribution
Test of equality of the concentration parameters for circular data
A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data
Rotation matrix on SO(3) from three Euler angles
Construct a rotation matrix on SO(3) from the Euler angles.
Permutation based 2-sample mean test for circular data
Permutation based 2-sample mean test for circular data
Conversion of cosines to azimuth and plunge
Conversion of cosines to azimuth and plunge
Euclidean transformation
Inverse of the Euclidean transformation
Inverse of the Euclidean transformation
Simulation of random values from a Bingham distribution
Simulating from a Bingham distribution
Contour plot (on the plane) of the ESAG and Kent distributions without any data
Contour plot (on the plane) of the ESAG and Kent and ESAG distributions without any data
Transform unit vectors to angular data
Transform unit vectors to angular data
Anova for (hyper-)spherical data
Analysis of variance for (hyper-)spherical data
Cross validation with ESAG discrminant analysis
Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming an ESAG distribution
Bootstrap ANOVA for circular data
Bootstrap ANOVA for circular data
Spherical regression using rotationally symmetric distributions
Spherical regression using rotationally symmetric distributions
Goodness of fit test for grouped data
Goodness of fit test for grouped data
Bootstrap 2-sample mean test for (hyper-)spherical data
Bootstrap 2-sample mean test for (hyper-)spherical data
Habeck's rotation matrix generation
Generation of three-dimensional random rotations using Habeck's algorithm.
Hypothesis test for IAG distribution over the ESAG distribution
Hypothesis test for IAG distribution over the ESAG distribution
Analysis of variance for circular data
Permutation based 2-sample mean test for (hyper-)spherical data
Permutation based 2-sample mean test for (hyper-)spherical data
Summary statistics for grouped circular data
Summary statistics for grouped circular data
Test for a given mean direction
Test for a given mean direction
MLE of the Matrix Fisher distribution on SO(3)
MLE of the Matrix Fisher distribution on SO(3)
Uniformity test for circular data
Uniformity tests for circular data.
k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables
Tuning of the k-NN regression
Tuning of the k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables
Haversine distance matrix
Harvesine distance matrix
Hypothesis test for SIPC distribution over the SESPC distribution
Hypothesis test for SIPC distribution over the SESPC distribution
Prediction in discriminant analysis based on Purkayastha distribution
Prediction of a new observation using discriminant analysis based on Purkayastha distribution
Cumulative distribution function of circular distributions
Cumulative distribution function of circular distributions
Projections based test of uniformity
Projections based test of uniformity
Simulation from a Matrix Fisher distribution on SO(3)
Simulation from a Matrix Fisher distribution on SO(3)
Lambert's equal area projection
Lambert's equal area projection
Read a file as a Filebacked Big Matrix
Read a file as a Filebacked Big Matrix
Simulation of random values from the ESAG distribution
Simulation of random values from the ESAG distribution
Cross validation with Purkayastha discrminant analysis
Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming a Purkayastha distribution
Logarithm of the Kent distribution normalizing constant
Logarithm of the Kent distribution normalizing constant
Simulation of random values from a mixture of von Mises-Fisher distributions
Simulation of random values from a mixture of von Mises-Fisher distributions
MLE of the Purkayashta distribution
MLE of the Purkayashta distribution
Converting an unsigned unit quaternion to rotation matrix on SO(3)
Converting an unsigned unit quaternion to rotation matrix on SO(3)
Angular central Gaussian random values simulation
Angular central Gaussian random values simulation
MLE of the Kent distribution
MLe of the Kent distribution
Converting a rotation matrix on SO(3) to an unsigned unit quaternion
Converting a rotation matrix on SO(3) to an unsigned unit quaternion
Simulation of random values from the SESPC distribution
Simulation of random values from the SESPC distribution
Rotation matrix to rotate a spherical vector along the direction of another
Rotation matrix to rotate a spherical vector along the direction of another
Random sample of matrices in SO(p)
Random sample of matrices in SO(p)
Interactive 3D plot of spherical data
Interactive 3D plot of spherical data
Inverse of Lambert's equal area projection
Inverse of Lambert's equal area projection
Contour plot (on the sphere) of the ESAG and Kent distributions
Contour plot (on the sphere) of the ESAG and Kent distributions
Simulation of random values from rotationally symmetric distributions
Simulation of random values from rotationally symmetric distributions
Generate random folds for cross-validation
Generate random folds for cross-validation
Bootstrap ANOVA for (hyper-)spherical data
Bootstrap ANOVA for (hyper-)spherical data
Contour plot (on the sphere) of a mixture of von Mises-Fisher distributions
Contour plot (on the sphere) of a mixture of von Mises-Fisher distributions
Forward Backward Early Dropping selection for circular data using the SPML regression
Forward Backward Early Dropping selection for circular data using the SPML regression
Simulation of random values from some circular distributions
Simulation of random values from some circular distributions
Bootstrap 2-sample mean test for circular data
Bootstrap 2-sample mean test for circular data
Contour plot (on the sphere) of some spherical rotational symmetric distributions
Contour plot (on the sphere) of some spherical rotational symmetric distributions
Test for equality of concentration parameters for spherical data
Test for equality of concentration parameters for spherical data
MLE of some circular distributions
MLE of some circular distributions
Normalised spatial median for directional data
Normalised spatial median for directional data
Maps of the world and the continents
maps of the world and the continents
Many simple circular or angular regressions
Many simple circular or angular regressions
Circular or angular regression
Circular or angular regression
Rayleigh's test of uniformity
Rayleigh's test of uniformity
A test for testing the equality of the concentration parameters for ciruclar data
A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data
Spherical and hyperspherical median
Fast calculation of the spherical and hyperspherical median
Tuning of the bandwidth parameter in the von Mises-Fisher kernel
Tuning of the bandwidth parameter in the von Mises-Fisher kernel for (hyper-)spherical data
Contour plot of a mixture of von Mises-Fisher distributions model
Contour plot of a mixture of von Mises-Fisher distributions model for spherical data only.
Contour plots of some rotational symmetric distributions
Contour plots of some rotational symmetric distributions
Simulation from a Bingham distribution using any symmetric matrix A
Simulation from a Bingham distribution using any symmetric matrix A
Tuning of the bandwidth parameter in the von Mises kernel
Tuning of the bandwidth parameter in the von Mises kernel for circular data
Cross validation in von Mises-Fisher discrminant analysis
Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming a von Mises-Fisher distribution
Mixtures of Von Mises-Fisher distributions
Mixtures of Von Mises-Fisher distributions
von Mises-Fisher kernel density estimation for (hyper-)spherical data
Kernel density estimation for (hyper-)spherical data using a von Mises-Fisher kernel
MLE of some circular distributions with multiple samples
MLE of some circular distributions with multiple samples
Simulation of random values from a spherical Fisher-Bingham distribution
Simulation of random values from a spherical Fisher-Bingham distribution
Rotation matrix from a rotation axis and angle of rotation
Rotation matrix from a rotation axis and angle of rotation
Simulation of random values from a spherical Kent distribution
Simulation of random values from a spherical Kent distribution
Contour plot of spherical data using a von Mises-Fisher kernel density estimate
Contour plot of spherical data using a von Mises-Fisher kernel density estimate
Euler angles from a rotation matrix on SO(3)
Compute the Euler angles from a rotation matrix on SO(3).
Spherical-spherical regression
Spherical-Spherical regression
Contour plot (on the sphere) of the SESPC distribution
Contour plot (on the sphere) of the SESPC distribution
MLE of the SESPC distribution
MLE of the SESPC distribution
von Mises kernel density estimation
Kernel density estimation of circular data with a von Mises kernel
Spherical regression using the SESPC distribution
Spherical regression using the SESPC distribution
Spherical-spherical correlation
Spherical-spherical correlation
Naive Bayes classifiers for circular data
Naive Bayes classifiers for directional data
Spherical and hyper-spherical distance correlation
Spherical and hyper-spherical distance correlation
Check visually whether matrix Fisher samples is correctly generated or not
Check visually whether matrix Fisher samples is correctly generated or not.
Generation of unit vector(s) with a given angle
Generation of unit vector(s) with a given angle
Prediction with some naive Bayes classifiers for circular data
Prediction with some naive Bayes classifiers for circular data
MLE of the Wood bimodal distribution on the sphere
MLE of the Wood bimodal distribution on the sphere
MLE of (hyper-)spherical rotational symmetric distributions
MLE of (hyper-)spherical rotational symmetric distributions
Prediction in discriminant analysis based on von Mises-Fisher distribution
Prediction of a new observation using discriminant analysis based on von Mises-Fisher distribution
Summary statistics for circular data
Summary statistics for circular data
Circular-linear correlation
Circular-linear correlation
Circular correlations between two circular variables
Circular correlations between two circular variables
This is an R package that provides methods for the statistical analysis of directional data, including massive (very large scale) directional data.
Rotation axis and angle of rotation given a rotation matrix
Rotation axis and angle of rotation given a rotation matrix
BIC for the model based clustering using mixtures of von Mises-Fisher distributions
BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions