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Rates of convergence for robust 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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Assouad, Fano, and Le Cam
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On the rate of convergence in Wasserstein distance of the empirical measure
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Finding the Homology of Submanifolds with High Confidence from Random Samples
inferredcites →https://doi.org/10.1007/s10208-011-9098-0openalex-snapshot
Geometric Inference for Probability Measures
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.comgeo.2008.12.002openalex-snapshot
Normal cone approximation and offset shape isotopy
inferredcites →https://doi.org/10.1090/memo/1259openalex-snapshot
One-dimensional empirical measures, order statistics, and Kantorovich transport distances
inferredcites →https://doi.org/10.1111/j.1467-8659.2009.01525.xopenalex-snapshot
Stability of Curvature Measures
inferredcites →https://doi.org/10.1137/0138038openalex-snapshot
Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
inferredcites →https://doi.org/10.1137/1.9781611973730.13openalex-snapshot
Efficient and Robust Persistent Homology for Measures
inferredcites →https://doi.org/10.1145/2093973.2094007openalex-snapshot
Data-driven trajectory smoothing
inferredcites →https://doi.org/10.1145/2535927openalex-snapshot
Persistence-Based Clustering in Riemannian Manifolds
inferredcites →https://doi.org/10.1214/009053605000000787openalex-snapshot
Adaptive multiscale detection of filamentary structures in a background of uniform random points
inferredcites →https://doi.org/10.1214/08-aos661openalex-snapshot
Adaptive Hausdorff estimation of density level sets
inferredcites →https://doi.org/10.1214/11-ejs606openalex-snapshot
A weighted k-nearest neighbor density estimate for geometric inference
inferredcites →https://doi.org/10.1214/11-ejs646openalex-snapshot
Deconvolution for the Wasserstein metric and geometric inference
inferredcites →https://doi.org/10.1214/12-aihp489openalex-snapshot
Constructive quantization: Approximation by empirical measures
inferredcites →https://doi.org/10.1214/aoms/1177728174openalex-snapshot
Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
inferredcites →https://doi.org/10.1214/aop/1176990746openalex-snapshot
The Tight Constant in the Dvoretzky-Kiefer-Wolfowitz Inequality
inferredcites →https://doi.org/10.4230/lipics.socg.2015.857openalex-snapshot
Geometric Inference on Kernel Density Estimates
inferredcites →https://doi.org/10.48550/arxiv.1412.7197openalex-snapshot
Robust Topological Inference: Distance To a Measure and Kernel Distance
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Convergence Rates for Persistence Diagram Estimation in Topological Data Analysis
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Unsupervised space–time clustering using persistent homology
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Analyzing the Squared Distance-to-Measure Gradient Flow System with k-Order Voronoi Diagrams
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/10.1080/10485252.2025.2591341openalex-snapshot
On standardness: estimation of the standardness constant and decidability aspects
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Topological Data Analysis
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A statistical test of isomorphism between metric-measure spaces using the distance-to-a-measure signature
inferred← citeshttps://doi.org/10.1214/21-ejs1974openalex-snapshot
Reweighting samples under covariate shift using a Wasserstein distance criterion
inferred← citeshttps://doi.org/10.1515/demo-2020-0016openalex-snapshot
Detecting and modeling critical dependence structures between random inputs of computer models
inferred← citeshttps://doi.org/10.3150/20-bej1214openalex-snapshot
A $k$-points-based distance for robust geometric inference
inferred← citeshttps://doi.org/10.3389/frai.2021.667963openalex-snapshot
An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists
inferred← citeshttps://doi.org/10.48550/arxiv.1702.02838openalex-snapshot
The DTM-signature for a geometric comparison of metric-measure spaces from samples
inferred← citeshttps://doi.org/10.48550/arxiv.1706.00204openalex-snapshot
Statistical Analysis and Parameter Selection for Mapper
inferred← citeshttps://doi.org/10.48550/arxiv.2002.02778openalex-snapshot
PLLay: Efficient Topological Layer based on Persistence Landscapes
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Vers une vision robuste de l'inférence géométrique
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Treatment of dependency in sensitivity analysis for industrial reliability
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