Synchronizing sample curves nonparametrically

DOI10.1214/aos/1018031202zbMath0942.62043OpenAlexW1964716164MaRDI QIDQ1970473

Theo Gasser, Kongming Wang

Publication date: 24 August 2000

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1018031202

zbMATH Keywords

kernel estimationcurvesstructural analysisdynamic time warpingwarping functions

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

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Pairwise dynamic time warping for event data, Amplitude and phase variation of point processes, Self Modeling with Flexible, Random Time Transformations, Estimation of the structural expectation of a stochastic function, Warped functional analysis of variance, Clustering multivariate functional data with phase variation, Nonparametric registration to low-dimensional function spaces, Functional density synchronization, Estimation of the distribution of random shifts deformation, Nonlinear manifold representations for functional data, Statistics of time warpings and phase variations, Time-warped growth processes, with applications to the modeling of boom-bust cycles in house prices, Simultaneous curve registration and clustering for functional data, Core shape modelling of a set of curves, Non parametric estimation of the structural expectation of a stochastic increasing function, A scale-space approach with wavelets to singularity estimation, Bayesian Analysis of Curves Shape Variation Through Registration and Regression, Functional registration and local variations: identifiability, rank, and tuning, Integral representation of local and global diffeomorphisms

Uses Software

• fda (R)

Cites Work

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