Amplitude and phase variation of point processes

DOI10.1214/15-AOS1387zbMath1381.62261arXiv1603.08691OpenAlexW2297520515MaRDI QIDQ282475

Victor M. Panaretos, Yoav Zemel

Publication date: 12 May 2016

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

Full work available at URL: https://arxiv.org/abs/1603.08691

zbMATH Keywords

Wasserstein metricoptimal transportationregistrationwarpinglength spacegeodesic variationFréchet meandoubly stochastic Poisson processMonge problem

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Nonparametric estimation (62G05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (24)

Amplitude and phase variation of point processes ⋮ Bayesian semiparametric modelling of phase-varying point processes ⋮ Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees ⋮ Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line ⋮ Wasserstein \(F\)-tests and confidence bands for the Fréchet regression of density response curves ⋮ A fast solver for generalized optimal transport problems based on dynamical system and algebraic multigrid ⋮ Point process models for COVID-19 cases and deaths ⋮ Wasserstein Regression ⋮ On quantum optimal transport ⋮ Nonparametric Estimation of Repeated Densities with Heterogeneous Sample Sizes ⋮ Fréchet single index models for object response regression ⋮ Statistical Analysis of Functions on Surfaces, With an Application to Medical Imaging ⋮ Additive Functional Regression for Densities as Responses ⋮ Wasserstein autoregressive models for density time series ⋮ Wasserstein gradients for the temporal evolution of probability distributions ⋮ Fréchet means and Procrustes analysis in Wasserstein space ⋮ Spatial prediction and spatial dependence monitoring on georeferenced data streams ⋮ Multimodal Bayesian registration of noisy functions using Hamiltonian Monte Carlo ⋮ Empirical optimal transport on countable metric spaces: distributional limits and statistical applications ⋮ Fréchet regression for random objects with Euclidean predictors ⋮ Functional registration and local variations: identifiability, rank, and tuning ⋮ Monitoring for a change point in a sequence of distributions ⋮ Penalization of Barycenters in the Wasserstein Space ⋮ Procrustes metrics on covariance operators and optimal transportation of Gaussian processes

Uses Software

• fda (R)
• fdasrvf

Cites Work

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