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Non-Asymptotic Rates for Manifold, Tangent Space, and Curvature Estimation

2 May 2017

Papers citing "Non-Asymptotic Rates for Manifold, Tangent Space, and Curvature Estimation"

50 / 52 papers shown

Title
Token embeddings violate the manifold hypothesis Michael Robinson Sourya Dey Tony Chiang 129 2 0 01 Apr 2025
Beyond Fixed Horizons: A Theoretical Framework for Adaptive Denoising Diffusions Soren Christensen Claudia Strauch Lukas Trottner DiffM 141 0 0 31 Jan 2025
Subspace-Constrained Quadratic Matrix Factorization: Algorithm and Applications Zheng Zhai Xiaohui Li 63 0 0 07 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
A Likelihood Based Approach to Distribution Regression Using Conditional Deep Generative Models Shivam Kumar Yun Yang Lizhen Lin 55 0 0 02 Oct 2024
Nonparametric regression on random geometric graphs sampled from submanifolds Paul Rosa Judith Rousseau 126 1 0 31 May 2024
A theory of stratification learning Eddie Aamari Clément Berenfeld 97 0 0 30 May 2024
Persistence Diagram Estimation of Multivariate Piecewise Hölder-continuous Signals Hugo Henneuse 43 3 0 28 Mar 2024
Manifold learning: what, how, and why M. Meilă Hanyu Zhang 88 59 0 07 Nov 2023
CA-PCA: Manifold Dimension Estimation, Adapted for Curvature Anna C. Gilbert Kevin OÑeill 44 1 0 23 Sep 2023
Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds Nicolas García Trillos Melanie Weber 129 4 0 05 Jul 2023
First Order Methods with Markovian Noise: from Acceleration to Variational Inequalities Aleksandr Beznosikov S. Samsonov Marina Sheshukova Alexander Gasnikov A. Naumov Eric Moulines 90 15 0 25 May 2023
Geodesically convex $M$ -estimation in metric spaces Victor-Emmanuel Brunel 127 1 0 05 May 2023
Support and distribution inference from noisy data Jérémie Capitao-Miniconi Elisabeth Gassiat Luc Lehéricy 61 1 0 19 Apr 2023
Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness Hao Liu Alex Havrilla Rongjie Lai Wenjing Liao 68 6 0 17 Mar 2023
Statistical learning on measures: an application to persistence diagrams Olympio Hacquard Gilles Blanchard Clément Levrard 134 3 0 15 Mar 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
Quadratic Matrix Factorization with Applications to Manifold Learning Zheng Zhai Hengchao Chen Qiang Sun 62 4 0 30 Jan 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
Optimal Reach Estimation and Metric Learning Eddie Aamari Clément Berenfeld Clément Levrard 57 9 0 13 Jul 2022
The Manifold Hypothesis for Gradient-Based Explanations Sebastian Bordt Uddeshya Upadhyay Zeynep Akata U. V. Luxburg FAtt AAML 50 14 0 15 Jun 2022
Estimating a density near an unknown manifold: a Bayesian nonparametric approach Clément Berenfeld Paul Rosa Judith Rousseau 106 10 0 31 May 2022
Spherical Rotation Dimension Reduction with Geometric Loss Functions Hengrui Luo Jeremy E. Purvis Didong Li 48 4 0 23 Apr 2022
Deconvolution of spherical data corrupted with unknown noise Jérémie Capitao-Miniconi Elisabeth Gassiat 42 2 0 01 Mar 2022
Rates of convergence for nonparametric estimation of singular distributions using generative adversarial networks Minwoo Chae GAN 81 5 0 07 Feb 2022
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications Jeff Calder Sangmin Park D. Slepčev 3DPC 74 10 0 05 Nov 2021
Universally consistent estimation of the reach A. Cholaquidis R. Fraiman L. Moreno 56 8 0 23 Oct 2021
Inferring Manifolds From Noisy Data Using Gaussian Processes David B. Dunson Nan Wu 91 18 0 14 Oct 2021
Tangent Space and Dimension Estimation with the Wasserstein Distance Uzu Lim Harald Oberhauser Vidit Nanda 93 8 0 12 Oct 2021
Minimax Boundary Estimation and Estimation with Boundary Eddie Aamari C. Aaron Clément Levrard 82 10 0 06 Aug 2021
Convergence rates of vector-valued local polynomial regression Yariv Aizenbud B. Sober 52 3 0 13 Jul 2021
Non-Parametric Estimation of Manifolds from Noisy Data Yariv Aizenbud B. Sober 71 19 0 11 May 2021
A likelihood approach to nonparametric estimation of a singular distribution using deep generative models Minwoo Chae Dongha Kim Yongdai Kim Lizhen Lin 76 17 0 09 May 2021
Measure estimation on manifolds: an optimal transport approach Vincent Divol OT 168 21 0 15 Feb 2021
Manifold-based time series forecasting Nikita Puchkin A. Timofeev V. Spokoiny AI4TS 50 0 0 15 Dec 2020
Solution manifold and Its Statistical Applications Swee Hong Chan 92 7 0 13 Feb 2020
Optimal quantization of the mean measure and applications to statistical learning Frédéric Chazal Clément Levrard Martin Royer 49 5 0 04 Feb 2020
Estimating the reach of a manifold via its convexity defect function Clément Berenfeld John Harvey M. Hoffmann K. Shankar 117 25 0 22 Jan 2020
Minimax adaptive estimation in manifold inference Vincent Divol 65 18 0 14 Jan 2020
Adaptive Manifold Clustering Franz Besold V. Spokoiny 42 2 0 10 Dec 2019
Estimation via length-constrained generalized empirical principal curves under small noise S. Delattre A. Fischer 111 1 0 15 Nov 2019
Density estimation on an unknown submanifold Clément Berenfeld M. Hoffmann 64 24 0 18 Oct 2019
Fitting a manifold of large reach to noisy data Charles Fefferman Sergei Ivanov Matti Lassas Hariharan Narayanan 66 24 0 11 Oct 2019
Manifold Fitting under Unbounded Noise Zhigang Yao Yuqing Xia 142 12 0 23 Sep 2019
Structure-adaptive manifold estimation Nikita Puchkin V. Spokoiny 31 15 0 12 Jun 2019
Efficient Weingarten Map and Curvature Estimation on Manifolds Yueqi Cao Didong Li Huafei Sun A. Assadi Shiqiang Zhang 49 11 0 26 May 2019
Local Regularization of Noisy Point Clouds: Improved Global Geometric Estimates and Data Analysis Nicolas García Trillos D. Sanz-Alonso Ruiyi Yang 3DPC 62 17 0 06 Apr 2019
Manifold Coordinates with Physical Meaning Samson Koelle Hanyu Zhang M. Meilă Yu-Chia Chen 76 8 0 29 Nov 2018
Data analysis from empirical moments and the Christoffel function Edouard Pauwels M. Putinar J. Lasserre 51 27 0 19 Oct 2018
Efficient Manifold and Subspace Approximations with Spherelets Didong Li Minerva Mukhopadhyay David B. Dunson 50 21 0 26 Jun 2017