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Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendible geodesics

7 June 2018

Papers citing "Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendible geodesics"

32 / 32 papers shown

Title
How should we aggregate ratings? Accounting for personal rating scales via Wasserstein barycenters Daniel Raban 26 0 0 01 Oct 2024
A Lower Bound for Estimating Fréchet Means Shayan Hundrieser B. Eltzner S. Huckemann 46 2 0 19 Feb 2024
Convex generalized Fréchet means in a metric tree Gabriel Romon Victor-Emmanuel Brunel 49 4 0 26 Oct 2023
Variance Inequalities for Transformed Fréchet Means in Hadamard Spaces Christof Schötz 122 2 0 20 Oct 2023
Robust Signal Recovery in Hadamard Spaces Georg Kostenberger Thomas Stark 47 2 0 12 Jul 2023
Geodesic Mixed Effects Models for Repeatedly Observed/Longitudinal Random Objects S. Bhattacharjee Hans-Georg Müller 14 4 0 11 Jul 2023
Transportation of Measure Regression in Higher Dimensions Laya Ghodrati V. Panaretos OT 100 2 0 27 May 2023
Errors-in-variables Fréchet Regression with Low-rank Covariate Approximation Kyunghee Han Dogyoon Song 43 0 0 16 May 2023
Scalable Optimal Transport Methods in Machine Learning: A Contemporary Survey Abdelwahed Khamis Russell Tsuchida Mohamed Tarek V. Rolland Lars Petersson OT 136 14 0 08 May 2023
Geodesically convex $M$ -estimation in metric spaces Victor-Emmanuel Brunel 132 1 0 05 May 2023
On the Concentration of the Minimizers of Empirical Risks Paul Escande 71 3 0 03 Apr 2023
Doubly Regularized Entropic Wasserstein Barycenters Lénaïc Chizat 77 14 0 21 Mar 2023
Concentration of empirical barycenters in metric spaces Victor-Emmanuel Brunel Jordan Serres 118 5 0 02 Mar 2023
Exponential Concentration for Geometric-Median-of-Means in Non-Positive Curvature Spaces H. Yun B. Park 74 4 0 30 Nov 2022
Statistical properties of approximate geometric quantiles in infinite-dimensional Banach spaces Gabriel Romon 39 2 0 31 Oct 2022
Quantitative Stability of Barycenters in the Wasserstein Space G. Carlier Alex Delalande Q. Mérigot 47 11 0 21 Sep 2022
Wasserstein Distributionally Robust Optimization with Wasserstein Barycenters Tim Tsz-Kit Lau Han Liu OOD 91 2 0 23 Mar 2022
An entropic generalization of Caffarelli's contraction theorem via covariance inequalities Sinho Chewi Aram-Alexandre Pooladian 60 39 0 09 Mar 2022
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent Jason M. Altschuler Sinho Chewi P. Gerber Austin J. Stromme 87 37 0 16 Jun 2021
Sampling From the Wasserstein Barycenter Chiheb Daaloul Thibaut Le Gouic J. Liandrat M. I. O. Technology 41 6 0 04 May 2021
Online learning with exponential weights in metric spaces Q. Paris 92 4 0 26 Mar 2021
Statistical Inference on the Hilbert Sphere with Application to Random Densities Xiongtao Dai 18 12 0 02 Jan 2021
Nonparametric Regression in Nonstandard Spaces Christof Schötz 40 7 0 24 Dec 2020
Limit Theorems for Fréchet Mean Sets S. Evans Adam Quinn Jaffe 75 5 0 23 Dec 2020
Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees F. Heinemann Axel Munk Y. Zemel 55 17 0 11 Dec 2020
Projection to Fairness in Statistical Learning Thibaut Le Gouic Jean-Michel Loubes Philippe Rigollet 74 3 0 24 May 2020
The exponentially weighted average forecaster in geodesic spaces of non-positive curvature Q. Paris 42 2 0 03 Feb 2020
Gradient descent algorithms for Bures-Wasserstein barycenters Sinho Chewi Tyler Maunu Philippe Rigollet Austin J. Stromme 58 87 0 06 Jan 2020
Fréchet Change Point Detection Paromita Dubey Hans-Georg Müller 50 25 0 26 Nov 2019
Estimation of Wasserstein distances in the Spiked Transport Model Jonathan Niles-Weed Philippe Rigollet 80 103 0 16 Sep 2019
Statistical data analysis in the Wasserstein space Jérémie Bigot 69 32 0 19 Jul 2019
Convergence Rates for the Generalized Fréchet Mean via the Quadruple Inequality Christof Schötz 57 42 0 19 Dec 2018