Nonparametric registration to low-dimensional function spaces

DOI10.1016/j.csda.2019.03.004OpenAlexW2924690225WikidataQ128186024 ScholiaQ128186024MaRDI QIDQ2419146

Heiko Wagner, Alois Kneip

Publication date: 29 May 2019

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2019.03.004

zbMATH Keywords

dimension reductionregistrationamplitude variationfunctional data analysistime warpingfunctional principal componentsphase variationgeneslow dimensional linear function spaces

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Factor analysis and principal components; correspondence analysis (62H25) Density estimation (62G07) Functional data analysis (62R10)

Related Items

Functional registration and local variations: identifiability, rank, and tuning, Nonlinear mixed effects modeling and warping for functional data using B-splines

Uses Software

• NEWUOA
• fda (R)

Cites Work

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• Analysis of juggling data: registering data to principal components to explain amplitude variation
• Phase and amplitude-based clustering for functional data
• \(k\)-mean alignment for curve clustering
• Statistical tools to analyze data representing a sample of curves
• Orthogonal splines based on \(B\)-splines -- with applications to least squares, smoothing and regularisation problems
• Ordered linear smoothers
• Alignment of curves by dynamic time warping
• Uniform B-spline approximation in Sobolev spaces
• Multicriteria optimization
• Asymptotic and bootstrap confidence bounds for the structural average of curves.
• Synchronizing sample curves nonparametrically
• Functional data analysis.
• Combining Registration and Fitting for Functional Models
• Applied Multivariate Statistical Analysis
• Searching for Structure in Curve Sample
• Time ordering of gene coexpression
• Nonparametric maximum likelihood estimation of the structural mean of a sample of curves
• Dynamic programming algorithm optimization for spoken word recognition
• Curve Registration
• Estimating Smooth Monotone Functions
• Curve Registration by Local Regression
• A Multiresolution Approach to Time Warping Achieved by a Bayesian Prior–Posterior Transfer Fitting Strategy