Functional Data Analysis of Amplitude and Phase Variation

  title={Functional Data Analysis of Amplitude and Phase Variation},
  author={J. S. Marron and James O. Ramsay and Laura M. Sangalli and Anuj Srivastava},
  journal={arXiv: Methodology},
The abundance of functional observations in scientific endeavors has led to a significant development in tools for functional data analysis (FDA). This kind of data comes with several challenges: infinite-dimensionality of function spaces, observation noise, and so on. However, there is another interesting phenomena that creates problems in FDA. The functional data often comes with lateral displacements/deformations in curves, a phenomenon which is different from the height or amplitude… 
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