# Amplitude Mean of Functional Data on $\mathbb{S}^2$

@article{Zhang2021AmplitudeMO, title={Amplitude Mean of Functional Data on \$\mathbb\{S\}^2\$}, author={Zhengwu Zhang and B. Saparbayeva}, journal={ArXiv}, year={2021}, volume={abs/2107.13721} }

Mainfold-valued functional data analysis (FDA) recently becomes an active area of research motivated by the raising availability of trajectories or longitudinal data observed on non-linear manifolds. The challenges of analyzing such data comes from many aspects, including infinite dimensionality and nonlinearity, as well as time domain or phase variability. In this paper, we study the amplitude part of manifold-valued functions on S2, which is invariant to random time warping or re… Expand

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