# Elastic Functional Data Analysis

## Documentation for package ‘fdasrvf’ version 2.4.0

- DESCRIPTION file.
- Package NEWS.

## 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