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Deconvolution for the Wasserstein metric and geometric inference
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators
inferredcites →https://doi.org/10.1007/978-3-540-71050-9openalex-snapshot
Optimal Transport: Old and New
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Deconvolution Problems in Nonparametric Statistics
inferredcites →https://doi.org/10.1007/bf02591503openalex-snapshot
On some expansions of stable distribution functions
inferredcites →https://doi.org/10.1007/s00454-009-9144-8openalex-snapshot
A Sampling Theory for Compact Sets in Euclidean Space
inferredcites →https://doi.org/10.1007/s10208-011-9098-0openalex-snapshot
Geometric Inference for Probability Measures
inferredcites →https://doi.org/10.1016/0377-0427(94)90033-7openalex-snapshot
Mean rates of convergence of empirical measures in the Wasserstein metric
inferredcites →https://doi.org/10.1016/j.comgeo.2007.07.001openalex-snapshot
Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees
inferredcites →https://doi.org/10.1016/j.jmva.2005.04.004openalex-snapshot
Estimating the support of multivariate densities under measurement error
inferredcites →https://doi.org/10.1016/j.jmva.2008.02.021openalex-snapshot
Exact rates in density support estimation
inferredcites →https://doi.org/10.1016/j.spl.2006.04.016openalex-snapshot
On optimal kernel choice for deconvolution
inferredcites →https://doi.org/10.1016/j.spl.2009.10.012openalex-snapshot
Consistent density deconvolution under partially known error distribution
inferredcites →https://doi.org/10.1080/01621459.1988.10478718openalex-snapshot
Optimal Rates of Convergence for Deconvolving a Density
inferredcites →https://doi.org/10.1080/01621459.2012.682527openalex-snapshot
The Geometry of Nonparametric Filament Estimation
inferredcites →https://doi.org/10.1080/02331880600723101openalex-snapshot
Support estimation via moment estimation in presence of noise
inferredcites →https://doi.org/10.1080/02331889008802238openalex-snapshot
Deconvolving kernel density estimators
inferredcites →https://doi.org/10.1080/10485259708832708openalex-snapshot
On the effect of estimating the error density in nonparametric deconvolution
inferredcites →https://doi.org/10.1111/j.1467-9868.2011.00775.xopenalex-snapshot
Data-Driven Density Estimation in the Presence of Additive Noise with unknown Distribution
inferredcites →https://doi.org/10.1137/090762932openalex-snapshot
A Topological View of Unsupervised Learning from Noisy Data
inferredcites →https://doi.org/10.1198/016214502760047050openalex-snapshot
Estimating a Changepoint, Boundary, or Frontier in the Presence of Observation Error
inferredcites →https://doi.org/10.1214/009053606000001532openalex-snapshot
A nonparametric approach to the estimation of lengths and surface areas
inferredcites →https://doi.org/10.1214/08-aos671openalex-snapshot
On the path density of a gradient field
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Empirical geometry of multivariate data: a deconvolution approach
inferredcites →https://doi.org/10.2307/2583297openalex-snapshot
Probability Metrics and the Stability of Stochastic Models
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Mass Transportation Problems: Vol. I: Theory
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Consistent deconvolution in density estimation
inferredcites →https://doi.org/10.2307/3316026openalex-snapshot
On the effect of misspecifying the error density in a deconvolution problem
inferredcites →https://doi.org/10.3103/s106653070701005xopenalex-snapshot
Deconvolving compactly supported densities
inferredcites →https://doi.org/10.3150/bj/1116340297openalex-snapshot
Minimax estimation of the noise level and of the deconvolution density in a semiparametric convolution model
inferredcites →https://doi.org/10.4310/sdg.2006.v11.n1.a6openalex-snapshot
Semiconcave Functions in Alexandrov’s Geometry
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-031-64447-4_90openalex-snapshot
Minimax Rates for Wasserstein Deconvolution of Regular Distributions with Known Ordinary Smooth Errors
inferred← citeshttps://doi.org/10.1007/978-3-642-40020-9_62openalex-snapshot
Deconvolution for the Wasserstein Metric and Geometric Inference
inferred← citeshttps://doi.org/10.1007/s10208-014-9201-4openalex-snapshot
Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces
inferred← citeshttps://doi.org/10.1007/s10260-025-00795-zopenalex-snapshot
Minimax rates for Wasserstein deconvolution of regular distributions with ordinary smooth errors
inferred← citeshttps://doi.org/10.1007/s10260-026-00858-9openalex-snapshot
Minimax rates for Wasserstein–Kantorovich distribution deconvolution under known ordinary smooth errors and dependent signal processes
inferred← citeshttps://doi.org/10.1007/s10589-015-9758-0openalex-snapshot
Dynamic generation of scenario trees
inferred← citeshttps://doi.org/10.1007/s12541-024-01161-xopenalex-snapshot
Adaptive Sampling Technique for Free-Form Surface of Aero-Engine Blades Based on Discrete Curvature
inferred← citeshttps://doi.org/10.1016/j.crma.2018.10.010openalex-snapshot
Entropic optimal transport is maximum-likelihood deconvolution
inferred← citeshttps://doi.org/10.1016/j.jmva.2013.08.009openalex-snapshot
Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimension
inferred← citeshttps://doi.org/10.1016/j.jmva.2014.12.005openalex-snapshot
A parametric registration model for warped distributions with Wasserstein’s distance
inferred← citeshttps://doi.org/10.1017/9781108297806openalex-snapshot
Geometric and Topological Inference
inferred← citeshttps://doi.org/10.1017/9781108297806.008openalex-snapshot
Triangulation of Submanifolds
inferred← citeshttps://doi.org/10.1017/9781108297806.009openalex-snapshot
Reconstruction of Submanifolds
inferred← citeshttps://doi.org/10.1017/9781108297806.010openalex-snapshot
Stability of Distance Functions
inferred← citeshttps://doi.org/10.1017/9781108297806.011openalex-snapshot
Distance to Probability Measures
inferred← citeshttps://doi.org/10.1093/imaiai/iaz006openalex-snapshot
Uncoupled isotonic regression via minimum Wasserstein deconvolution
inferred← citeshttps://doi.org/10.1137/15m1043376openalex-snapshot
From Empirical Observations to Tree Models for Stochastic Optimization: Convergence Properties
inferred← citeshttps://doi.org/10.1214/12-aos994openalex-snapshot
Manifold estimation and singular deconvolution under Hausdorff loss
inferred← citeshttps://doi.org/10.1214/15-ejs997openalex-snapshot
Improved rates for Wasserstein deconvolution with ordinary smooth error in dimension one
inferred← citeshttps://doi.org/10.1214/16-aos1444openalex-snapshot
Convergence rates of parameter estimation for some weakly identifiable finite mixtures
inferred← citeshttps://doi.org/10.1214/16-ejs1161openalex-snapshot
Rates of convergence for robust geometric inference
inferred← citeshttps://doi.org/10.1214/20-aos1997openalex-snapshot
Minimax estimation of smooth optimal transport maps
inferred← citeshttps://doi.org/10.1214/23-aos2291openalex-snapshot
Minimax rate of distribution estimation on unknown submanifolds under adversarial losses
inferred← citeshttps://doi.org/10.1214/24-aos2413openalex-snapshot
Wasserstein convergence in Bayesian and frequentist deconvolution models
inferred← citeshttps://doi.org/10.18452/3073openalex-snapshot
Convergence of the Smoothed Empirical Process in Nested Distance
inferred← citeshttps://doi.org/10.48550/arxiv.1305.6239openalex-snapshot
Optimal rates of convergence for persistence diagrams in Topological Data Analysis
inferred← citeshttps://doi.org/10.48550/arxiv.1412.7197openalex-snapshot
Robust Topological Inference: Distance To a Measure and Kernel Distance
inferred← citeshttps://doi.org/10.48550/arxiv.1501.02497openalex-snapshot
Identifiability and optimal rates of convergence for parameters of multiple types in finite mixtures
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Frank-Wolfe Methods in Probability Space
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Convergence Rates for Persistence Diagram Estimation in Topological Data Analysis
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Topological analysis of noisy data
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