Module elastic_fpca 

Vertical, horizontal, and joint FPCA for elastic functional data.

These FPCA variants decompose amplitude vs phase variability after elastic alignment. They correspond to vert.fpca, horiz.fpca, and jointFPCA from the R fdasrvf package.

Key capabilities:

• vert_fpca — Amplitude FPCA in augmented SRSF space
• horiz_fpca — Phase FPCA via shooting vectors on the Hilbert sphere
• joint_fpca — Combined amplitude + phase FPCA

Structs

HorizFpcaResult

Result of horizontal (phase) FPCA.

JointFpcaResult

Result of joint (amplitude + phase) FPCA.

VertFpcaResult

Result of vertical (amplitude) FPCA.

Functions

horiz_fpca

Perform horizontal (phase) FPCA on warping functions.

joint_fpca

Perform joint (amplitude + phase) FPCA.

vert_fpca

Perform vertical (amplitude) FPCA on elastically aligned curves.