Elastic Functional Data Analysis

Documentation for package ‘fdasrvf’ version 2.4.0

Help Pages

A B C D E F G H I J K L M O P Q R S T V W

fdasrvf-package

Elastic Functional Data Analysis

-- A --

align_fPCA

Group-wise function alignment and PCA Extractions

-- B --

beta	MPEG7 Curve Dataset
bootTB	Tolerance Bound Calculation using Bootstrap Sampling
boxplot.ampbox	Functional Boxplot
boxplot.curvebox	Functional Boxplot
boxplot.fdawarp	Functional Boxplot
boxplot.phbox	Functional Boxplot

-- C --

calc_shape_dist	Elastic Shape Distance
curve2srvf	Converts a curve to its SRVF representation
curve_boxplot	Curve Boxplot
curve_depth	Calculates elastic depth for a set of curves
curve_dist	Distance Matrix Computation
curve_geodesic	Form geodesic between two curves
curve_pair_align	Pairwise align two curves
curve_to_q	Curve to SRVF Space

-- D --

discrete2curve	Converts a curve from matrix to functional data object
discrete2warping	Converts a warping function from vector to functional data object

-- E --

elastic.depth	Calculates elastic depth
elastic.distance	Calculates two elastic distance
elastic.logistic	Elastic Logistic Regression
elastic.lpcr.regression	Elastic logistic Principal Component Regression
elastic.mlogistic	Elastic Multinomial Logistic Regression
elastic.mlpcr.regression	Elastic Multinomial logistic Principal Component Regression
elastic.pcr.regression	Elastic Linear Principal Component Regression
elastic.prediction	Elastic Prediction from Regression Models
elastic.regression	Elastic Linear Regression
elastic_amp_change_ff	Elastic Amplitude Changepoint Detection
elastic_change_fpca	Elastic Changepoint Detection
elastic_ph_change_ff	Elastic Phase Changepoint Detection

-- F --

fdasrvf	Elastic Functional Data Analysis
function_group_warp_bayes	Bayesian Group Warping
function_mean_bayes	Bayesian Karcher Mean Calculation
f_plot	Plot functional data
f_to_srvf	Transformation to SRVF Space

-- G --

gam_to_h	map warping function to tangent space at identity
gam_to_psi	map warping function to Hilbert Sphere
gam_to_v	map warping function to tangent space at identity
gauss_model	Gaussian model of functional data
get_curve_centroid	Computes the centroid of a curve
get_distance_matrix	Computes the distance matrix between a set of shapes.
get_hilbert_sphere_distance	Computes the geodesic distance between two SRVFs on the Hilbert sphere
get_identity_warping	Computes the identity warping function
get_l2_distance	Computes the L^2 distance between two SRVFs
get_l2_inner_product	Computes the L^2 inner product between two SRVFs
get_l2_norm	Computes the L^2 norm of an SRVF
get_shape_distance	Computes the distance between two shapes
get_warping_distance	Computes the distance between two warping functions
gradient	Gradient using finite differences
growth_vel	Berkeley Growth Velocity Dataset

-- H --

horizFPCA	Horizontal Functional Principal Component Analysis
h_to_gam	map shooting vector to warping function at identity

-- I --

im	Example Image Data set
invertGamma	Invert Warping Function
inv_exp_map	map square root of warping function to tangent space

-- J --

jointFPCA	Joint Vertical and Horizontal Functional Principal Component Analysis
jointFPCAh	Joint Vertical and Horizontal Functional Principal Component Analysis
joint_gauss_model	Gaussian model of functional data using joint Model

-- K --

kmeans_align

K-Means Clustering and Alignment

-- L --

LongRunCovMatrix

Long Run Covariance Matrix Estimation for Multivariate Time Series

-- M --

multiple_align_functions	Group-wise function alignment to specified mean
multiple_align_multivariate	Group-wise multivariate function alignment to specified mean
multivariate_karcher_cov	Curve Karcher Covariance
multivariate_karcher_mean	Karcher Mean of Multivariate Functional Data
multivariate_pca	Curve PCA

-- O --

optimum.reparam	Align two functions
outlier.detection	Outlier Detection

-- P --

pair_align_functions	Align two functions
pair_align_functions_bayes	Align two functions
pair_align_functions_expomap	Align two functions using geometric properties of warping functions
pair_align_image	Pairwise align two images This function aligns to images using the q-map framework
pcaTB	Tolerance Bound Calculation using Elastic Functional PCA
plot_curve	Plot Curve
predict.curve_pca	Elastic Prediction for curve PCA
predict.hfpca	Elastic Prediction for functional PCA
predict.jfpca	Elastic Prediction for functional PCA
predict.jfpcah	Elastic Prediction for functional PCA
predict.lpcr	Elastic Prediction for functional logistic PCR Model
predict.mlpcr	Elastic Prediction for functional multinomial logistic PCR Model
predict.pcr	Elastic Prediction for functional PCR Model
predict.vfpca	Elastic Prediction for functional PCA
psi_to_gam	map Hilbert sphere to warping function

-- Q --

q_to_curve

Convert to curve space

-- R --

reparam_curve	Align two curves
reparam_image	Find optimum reparameterization between two images
resamplecurve	Resample Curve
rgam	Random Warping
rotation_pca	Rotation Principal Component Analysis

-- S --

sample_shapes	Sample shapes from model
shape_CI	Shape Confidence Interval Calculation using Bootstrap Sampling
simu_data	Simulated two Gaussian Dataset
simu_warp	Aligned Simulated two Gaussian Dataset
simu_warp_median	Aligned Simulated two Gaussian Dataset using Median
smooth.data	Smooth Functions
SqrtMean	SRVF transform of warping functions
SqrtMeanInverse	SRVF transform of warping functions
SqrtMedian	SRVF transform of warping functions
srvf2curve	Converts from SRVF to curve representation
srvf_to_f	Transformation from SRSF Space

-- T --

time_warping	Alignment of univariate functional data
toy_data	Distributed Gaussian Peak Dataset
toy_warp	Aligned Distributed Gaussian Peak Dataset
to_hilbert_sphere	Projects an SRVF onto the Hilbert sphere

-- V --

vertFPCA	Vertical Functional Principal Component Analysis
v_to_curve	map shooting vector to curve at mean
v_to_gam	map shooting vector to warping function at identity

-- W --

warp_curve	Applies a warping function to a given curve
warp_f_gamma	Warp Function
warp_q_gamma	Warp SRSF
warp_srvf	Applies a warping function to a given SRVF