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Estimating the Reach of a Manifold

12 May 2017

Larry Wasserman LM-Orsay

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Papers citing "Estimating the Reach of a Manifold"

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Title
Fast, Accurate Manifold Denoising by Tunneling Riemannian Optimization Shiyu Wang Mariam Avagyan Yihan Shen Arnaud Lamy Tingran Wang S. Márka Z. Márka John N. Wright 64 0 0 24 Feb 2025
Understanding Scaling Laws with Statistical and Approximation Theory for Transformer Neural Networks on Intrinsically Low-dimensional Data Alex Havrilla Wenjing Liao 87 12 0 11 Nov 2024
Measure estimation on a manifold explored by a diffusion process Vincent Divol Hélene Guérin Dinh-Toan Nguyen Viet Tran OT 104 0 0 15 Oct 2024
Hardness of Learning Neural Networks under the Manifold Hypothesis B. Kiani Jason Wang Melanie Weber 77 4 0 03 Jun 2024
A theory of stratification learning Eddie Aamari Clément Berenfeld 102 0 0 30 May 2024
Persistence Diagram Estimation of Multivariate Piecewise Hölder-continuous Signals Hugo Henneuse 55 3 0 28 Mar 2024
LFS-Aware Surface Reconstruction from Unoriented 3D Point Clouds Rao Fu Kai Hormann Pierre Alliez 90 2 0 20 Mar 2024
Sample Complexity of Preference-Based Nonparametric Off-Policy Evaluation with Deep Networks Zihao Li Xiang Ji Minshuo Chen Mengdi Wang OffRL 73 0 0 16 Oct 2023
Why should autoencoders work? Matthew D. Kvalheim E.D. Sontag 106 2 0 03 Oct 2023
On the perimeter estimation of pixelated excursion sets of 2D anisotropic random fields Ryan Cotsakis Elena Di Bernardino Thomas Opitz 24 4 0 28 Jul 2023
A Closest Point Method for Surface PDEs with Interior Boundary Conditions for Geometry Processing Nathan D. King Haozhe Su Mridul Aanjaneya Steven J. Ruuth Christopher Peter Batty 3DPC 102 2 0 08 May 2023
One Neuron Saved Is One Neuron Earned: On Parametric Efficiency of Quadratic Networks Fenglei Fan Hangcheng Dong Zhongming Wu Lecheng Ruan T. Zeng Yiming Cui Jing-Xiao Liao 88 8 0 11 Mar 2023
Estimating the Convex Hull of the Image of a Set with Smooth Boundary: Error Bounds and Applications T. Lew Riccardo Bonalli Lucas Janson Marco Pavone 94 4 0 27 Feb 2023
On Deep Generative Models for Approximation and Estimation of Distributions on Manifolds Biraj Dahal Alex Havrilla Minshuo Chen Tuo Zhao Wenjing Liao GAN 54 10 0 25 Feb 2023
$Computable bounds for the reach and $r$-convexity of subsets of $\mathbb{R}^d$$ Computable bounds for the reach and $r$ -convexity of subsets of $\mathbb{R}^d$ Ryan Cotsakis 90 2 0 02 Dec 2022
Manifold Free Riemannian Optimization B. Shustin H. Avron B. Sober 65 2 0 07 Sep 2022
Semi-Supervised Manifold Learning with Complexity Decoupled Chart Autoencoders Stefan C. Schonsheck Scott Mahan T. Klock A. Cloninger Rongjie Lai DRL 64 5 0 22 Aug 2022
IAN: Iterated Adaptive Neighborhoods for manifold learning and dimensionality estimation Luciano Dyballa Steven W. Zucker 72 10 0 19 Aug 2022
Optimal Reach Estimation and Metric Learning Eddie Aamari Clément Berenfeld Clément Levrard 59 9 0 13 Jul 2022
FibeRed: Fiberwise Dimensionality Reduction of Topologically Complex Data with Vector Bundles Luis Scoccola Jose A. Perea 43 8 0 13 Jun 2022
Is an encoder within reach? Helene Hauschultz Rasmus Berg Palm. Pablo Moreno-Munos N. Detlefsen A. Plessis Søren Hauberg 50 0 0 03 Jun 2022
Minimax Optimal Regression over Sobolev Spaces via Laplacian Eigenmaps on Neighborhood Graphs Alden Green Sivaraman Balakrishnan Robert Tibshirani 120 12 0 14 Nov 2021
Universally consistent estimation of the reach A. Cholaquidis R. Fraiman L. Moreno 56 8 0 23 Oct 2021
Tangent Space and Dimension Estimation with the Wasserstein Distance Uzu Lim Harald Oberhauser Vidit Nanda 93 8 0 12 Oct 2021
$On Fast Johnson-Lindenstrauss Embeddings of Compact Submanifolds of $\mathbb{R}^N$ with Boundary$ On Fast Johnson-Lindenstrauss Embeddings of Compact Submanifolds of $\mathbb{R}^N$ with Boundary M. Iwen B. Schmidt Arman Tavakoli 131 12 0 08 Oct 2021
Turing approximations, toric isometric embeddings & manifold convolutions P. Suárez-Serrato 57 1 0 05 Oct 2021
Minimax Boundary Estimation and Estimation with Boundary Eddie Aamari C. Aaron Clément Levrard 89 10 0 06 Aug 2021
Manifold Hypothesis in Data Analysis: Double Geometrically-Probabilistic Approach to Manifold Dimension Estimation A. Ivanov G. Nosovskiy A. Chekunov D. Fedoseev V. Kibkalo M. Nikulin Fedor Popelenskiy Stepan Alekseevich Komkov I. Mazurenko Aleksandr Petiushko 57 2 0 08 Jul 2021
Intrinsic Dimension Estimation Using Wasserstein Distances Adam Block Zeyu Jia Yury Polyanskiy Alexander Rakhlin 73 21 0 08 Jun 2021
Deep Nonparametric Regression on Approximate Manifolds: Non-Asymptotic Error Bounds with Polynomial Prefactors Yuling Jiao Guohao Shen Yuanyuan Lin Jian Huang 121 52 0 14 Apr 2021
Measure estimation on manifolds: an optimal transport approach Vincent Divol OT 175 21 0 15 Feb 2021
A deep network construction that adapts to intrinsic dimensionality beyond the domain A. Cloninger T. Klock AI4CE 91 14 0 06 Aug 2020
Sampling-Based Motion Planning on Sequenced Manifolds Péter Englert Isabel M. Rayas Fernández R. Ramachandran Gaurav Sukhatme 53 16 0 03 Jun 2020
Asymptotic Confidence Regions for Density Ridges Wanli Qiao 105 4 0 23 Apr 2020
Solution manifold and Its Statistical Applications Swee Hong Chan 99 7 0 13 Feb 2020
Estimating the reach of a manifold via its convexity defect function Clément Berenfeld John Harvey M. Hoffmann K. Shankar 122 25 0 22 Jan 2020
Minimax adaptive estimation in manifold inference Vincent Divol 74 18 0 14 Jan 2020
Adaptive Manifold Clustering Franz Besold V. Spokoiny 53 2 0 10 Dec 2019
Density estimation on an unknown submanifold Clément Berenfeld M. Hoffmann 64 24 0 18 Oct 2019
Learning a manifold from a teacher's demonstrations Pei Wang A. Givchi Patrick Shafto 40 1 0 10 Oct 2019
Classification Logit Two-sample Testing by Neural Networks Xiuyuan Cheng A. Cloninger 81 33 0 25 Sep 2019
Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU Networks : Function Approximation and Statistical Recovery Minshuo Chen Haoming Jiang Wenjing Liao T. Zhao 154 92 0 05 Aug 2019
Minimax Hausdorff estimation of density level sets Alberto Rodríguez-Casal P. Saavedra-Nieves 35 4 0 07 May 2019
Local Regularization of Noisy Point Clouds: Improved Global Geometric Estimates and Data Analysis Nicolas García Trillos D. Sanz-Alonso Ruiyi Yang 3DPC 73 17 0 06 Apr 2019
An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists Frédéric Chazal Bertrand Michel 107 598 0 11 Oct 2017
Minimax Rates for Estimating the Dimension of a Manifold Jisu Kim Alessandro Rinaldo Larry A. Wasserman 208 24 0 03 May 2016