Corpus ID: 236493468

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

  title={Amplitude Mean of Functional Data on \$\mathbb\{S\}^2\$},
  author={Zhengwu Zhang and B. Saparbayeva},
  • Zhengwu Zhang, B. Saparbayeva
  • Published 2021
  • Computer Science, Mathematics
  • ArXiv
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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  • H. Müller
  • Computer Science
  • International Encyclopedia of Statistical Science
  • 2011
An overview of FDA is provided, starting with simple statistical notions such as mean and covariance functions, then covering some core techniques, the most popular of which is Functional Principal Component Analysis (FPCA), an important dimension reduction tool and in sparse data situations can be used to impute functional data that are sparsely observed. Expand
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  • Alice Le Brigant
  • Mathematics, Computer Science
  • Journal of Mathematical Imaging and Vision
  • 2018
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