Fréchet means of curves for signal averaging and application to ECG data analysis

DOI10.1214/13-AOAS676zbMath1283.62203arXiv1111.1855OpenAlexW1972066465MaRDI QIDQ2441869

Jérémie Bigot

Publication date: 28 March 2014

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

Full work available at URL: https://arxiv.org/abs/1111.1855

zbMATH Keywords

curve registrationdeformable modelsFréchet meansmean shapesignal averaginggeometric variability

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inference from stochastic processes (62M99)

Related Items (7)

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Uses Software

• PhysioToolkit
• reccv

Cites Work

• Minimax properties of Fréchet means of discretely sampled curves
• Intrinsic inference on the mean geodesic of planar shapes and tree discrimination by leaf growth
• Functional data analytic approach of modeling ECG T-wave shape to measure cardiovascular behavior
• Efficient estimation for a subclass of shape invariant models
• A deconvolution approach to estimation of a common shape in a shifted curves model
• Statistical M-estimation and consistency in large deformable models for image warping
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Alignment of curves by dynamic time warping
• On the consistency of Fréchet means in deformable models for curve and image analysis
• Convergence and consistency results for self-modeling nonlinear regression
• Minimal penalties for Gaussian model selection
• Semi-parametric estimation of shifts
• Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
• Searching for Structure in Curve Sample
• Semiparametric Curve Alignment and Shift Density Estimation for Biological Data
• Some Comments on C P
• Functional Convex Averaging and Synchronization for Time-Warped Random Curves
• Shapes and diffeomorphisms
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• Unnamed Item

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