Pairwise curve synchronization for functional data

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Functional Data Analysis (2016, background): “To break the non-identiﬁability, which is a characteristic of time warping models as already mentioned, Tang & M¨uller (2008) make the assumptions that the overall curve variation is (at least asymptotically) dominated by time variation, i.e., X i ( t ) = µ ( t ) + δZ i ( t ) , where δ vanishes for…”
Distances and inference for covariance operators (2014, methodology): “The recordings of people speaking different Romance languages are registered using the procedure of Tang & Müller (2008), with words pronounced in each language.”
Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles (2010, methodology): “On the other hand, more flexible methods such as warping (e.g., Gervini and Gasser 2004; Tang and Müller 2008) are inappropriate since nonrigid alignment will alter the second-order properties that are of principal interest.”