Riemannian Metrics for Symmetric Positive Definite Matrices


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Documentation for package ‘riemtan’ version 0.1.0

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airm Pre-configured Riemannian metrics for SPD matrices
airm_exp Compute the AIRM Exponential
airm_log Compute the AIRM Logarithm
airm_unvec Compute the Inverse Vectorization (AIRM)
airm_vec Compute the AIRM Vectorization of Tangent Space
bures_wasserstein Pre-configured Riemannian metrics for SPD matrices
bures_wasserstein_exp Compute the Bures-Wasserstein Exponential
bures_wasserstein_log Compute the Bures-Wasserstein Logarithm
bures_wasserstein_unvec Compute the Bures-Wasserstein Inverse Vectorization
bures_wasserstein_vec Compute the Bures-Wasserstein Vectorization
compute_frechet_mean Compute the Frechet Mean
CSample CSample Class
default_ref_pt Default reference point
dexp Differential of Matrix Exponential Map
dlog Differential of Matrix Logarithm Map
euclidean Pre-configured Riemannian metrics for SPD matrices
euclidean_exp Compute the Euclidean Exponential
euclidean_log Compute the Euclidean Logarithm
euclidean_unvec Compute the Inverse Vectorization (Euclidean)
euclidean_vec Vectorize at Identity Matrix (Euclidean)
half_underscore Half-underscore operation for use in the log-Cholesky metric
id_matr Create an Identity Matrix
log_cholesky Pre-configured Riemannian metrics for SPD matrices
log_cholesky_exp Compute the Log-Cholesky Exponential
log_cholesky_log Compute the Log-Cholesky Logarithm
log_cholesky_unvec Compute the Log-Cholesky Inverse Vectorization
log_cholesky_vec Compute the Log-Cholesky Vectorization
log_euclidean Pre-configured Riemannian metrics for SPD matrices
log_euclidean_exp Compute the Log-Euclidean Exponential
log_euclidean_log Compute the Log-Euclidean Logarithm
log_euclidean_unvec Compute the Inverse Vectorization (Euclidean)
log_euclidean_vec Vectorize at Identity Matrix (Euclidean)
metric Metric Object Constructor
metrics Pre-configured Riemannian metrics for SPD matrices
relocate Relocate Tangent Representations to a New Reference Point
rspdnorm Generate Random Samples from a Riemannian Normal Distribution
safe_logm Wrapper for the matrix logarithm
spd_isometry_from_identity Reverse isometry from tangent space at identity to tangent space at P
spd_isometry_to_identity Isometry from tangent space at P to tangent space at identity
TangentImageHandler TangentImageHandler Class
validate_conns Validate Connections
validate_exp_args Validate arguments for Riemannian logarithms
validate_log_args Validate arguments for Riemannian logarithms
validate_metric Validate Metric
validate_tan_imgs Validate Tangent Images
validate_unvec_args Validate arguments for inverse vectorization
validate_vec_args Validate arguments for vectorization
validate_vec_imgs Validate Vector Images
vec_at_id Vectorize at Identity Matrix