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pdSpecEst (version 1.2.6)

An Analysis Toolbox for Hermitian Positive Definite Matrices

Description

An implementation of data analysis tools for samples of symmetric or Hermitian positive definite matrices, such as collections of covariance matrices or spectral density matrices. The tools in this package can be used to perform: (i) intrinsic wavelet transforms for curves (1D) or surfaces (2D) of Hermitian positive definite matrices with applications to dimension reduction, denoising and clustering in the space of Hermitian positive definite matrices; and (ii) exploratory data analysis and inference for samples of positive definite matrices by means of intrinsic data depth functions and rank-based hypothesis tests in the space of Hermitian positive definite matrices.

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Install

install.packages('pdSpecEst')

Monthly Downloads

280

Version

1.2.6

License

GPL-2

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Maintainer

Joris Chau

Last Published

September 30th, 2025

Functions in pdSpecEst (1.2.6)

pdRankTests

Rank-based hypothesis tests for HPD matrices
pdMean

Weighted Karcher mean of HPD matrices
pdDist

Compute distance between two HPD matrices
pdNeville

Polynomial interpolation of curves (1D) or surfaces (2D) of HPD matrices
pdParTrans

Riemannian HPD parallel transport
pdPgram

Multitaper HPD periodogram matrix
pdMedian

Weighted intrinsic median of HPD matrices
pdPgram2D

Multitaper HPD time-varying periodogram matrix
pdSpecClust1D

Intrinsic wavelet HPD spectral matrix clustering
pdPolynomial

Generate intrinsic HPD polynomial curves
rExamples2D

Several example surfaces of HPD matrices
pdSplineReg

Cubic smoothing spline regression for HPD matrices
pdSpecClust2D

Intrinsic wavelet HPD time-varying spectral clustering
pdSpecEst1D

Intrinsic wavelet HPD spectral estimation
pdkMeans

K-means clustering for HPD matrices
pdSpecEst-package

pdSpecEst: An Analysis Toolbox for Hermitian Positive Definite Matrices
pdSpecEst2D

Intrinsic wavelet HPD time-varying spectral estimation
rARMA

Simulate vARMA(2,2) time series
rExamples1D

Several example curves of HPD matrices
WavTransf1D

Forward AI wavelet transform for curve of HPD matrices
WavTransf2D

Forward AI wavelet transform for surface of HPD matrices
Logm

Riemannian HPD logarithmic map
Expm

Riemannian HPD exponential map
InvWavTransf1D

Inverse AI wavelet transform for curve of HPD matrices
InvWavTransf2D

Inverse AI wavelet transform for surface of HPD matrices
pdDepth

Data depth for HPD matrices
Mid

Geodesic midpoint between HPD matrices
H.coeff

Orthonormal basis expansion of a Hermitian matrix
pdCART

Tree-structured trace thresholding of wavelet coefficients