Measure estimation on manifolds: an optimal transport approach
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Publication:2140007
DOI10.1007/s00440-022-01118-zOpenAlexW4220840750MaRDI QIDQ2140007
Publication date: 20 May 2022
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07595
Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20) Optimal transportation (49Q22)
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Cites Work
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- Computational Optimal Transport: With Applications to Data Science
- Constructive quantization: approximation by empirical measures
- A robust and efficient estimation method for single index models
- On the rate of convergence in Wasserstein distance of the empirical measure
- Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions
- Strong uniform convergence of density estimators on compact Euclidean manifolds
- Stability and minimax optimality of tangential Delaunay complexes for manifold reconstruction
- Density estimation on manifolds with boundary
- Nonasymptotic rates for manifold, tangent space and curvature estimation
- Construction of the Green function on a Riemannian manifold using harmonic coordinates
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Density estimation on an unknown submanifold
- Minimax adaptive estimation in manifold inference
- Estimating the reach of a manifold via its convexity defect function
- Kernel and wavelet density estimators on manifolds and more general metric spaces
- Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace-Beltrami operator
- Convergence and concentration of empirical measures under Wasserstein distance in unbounded functional spaces
- Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Estimating the reach of a manifold
- Poincaré inequality on complete Riemannian manifolds with Ricci curvature bounded below
- Finding the homology of submanifolds with high confidence from random samples
- Kernel density estimation on Riemannian manifolds
- On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
- Fourier Integrals in Classical Analysis
- Shapes and Geometries
- Curvature Measures
- Mathematical Foundations of Infinite-Dimensional Statistical Models
- The Geometry of Algorithms with Orthogonality Constraints
- Monte Carlo on Manifolds: Sampling Densities and Integrating Functions
- Minimax Rates for Estimating the Dimension of a Manifold
- Interpolation Theory
- Riemannian Stochastic Variance Reduced Gradient Algorithm with Retraction and Vector Transport
- Shape dimension and intrinsic metric from samples of manifolds with high co-dimension
- Comparison between W2 distance and Ḣ−1 norm, and Localization of Wasserstein distance
- Upper and Lower Bounds for Stochastic Processes
- Minimax Manifold Estimation
- Sampling from a Manifold
- The Speed of Mean Glivenko-Cantelli Convergence
- Optimal Transport
- Introduction to nonparametric estimation
- Congested traffic dynamics, weak flows and very degenerate elliptic equations
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