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Spectral Convergence of the connection Laplacian from random samples

7 June 2013

Papers citing "Spectral Convergence of the connection Laplacian from random samples"

50 / 53 papers shown

Title
Higher-Order Regularization Learning on Hypergraphs Adrien Weihs Andrea Bertozzi Matthew Thorpe 131 1 0 30 Oct 2025
Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization Dhruv Kohli Sawyer Robertson Gal Mishne A. Cloninger 115 0 0 02 Oct 2025
Spectral Self-supervised Feature Selection Daniel Segal Ofir Lindenbaum Ariel Jaffe 356 0 0 12 Jul 2024
Landmark Alternating Diffusion Sing-Yuan Yeh Hau-tieng Wu Ronen Talmon Mao-Pei Tsui 109 1 0 29 Apr 2024
Implicit Gaussian process representation of vector fields over arbitrary latent manifoldsInternational Conference on Learning Representations (ICLR), 2023 Robert L. Peach M. Vinao-Carl Nir Grossman Michael David Emma-Jane Mallas David Sharp Paresh A. Malhotra P. Vandergheynst Adam Gosztolai 230 7 0 28 Sep 2023
Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and BackIEEE Transactions on Signal Processing (IEEE TSP), 2023 Claudio Battiloro Zhiyang Wang Hans Riess Paolo Di Lorenzo Alejandro Ribeiro 214 16 0 20 Mar 2023
Consistency of Fractional Graph-Laplacian Regularization in Semi-Supervised Learning with Finite LabelsSIAM Journal on Mathematical Analysis (SIAM J. Math. Anal.), 2023 Adrien Weihs Matthew Thorpe 257 5 0 14 Mar 2023
Tangent Bundle Filters and Neural Networks: from Manifolds to Cellular Sheaves and BackIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2022 Claudio Battiloro Zhiyang Wang Hans Riess P. Lorenzo Alejandro Ribeiro 249 15 0 26 Oct 2022
Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noiseInformation and Inference A Journal of the IMA (JIII), 2022 Xiuyuan Cheng Boris Landa 335 6 0 22 Jun 2022
SpecNet2: Orthogonalization-free spectral embedding by neural networksMathematical and Scientific Machine Learning (MSML), 2022 Ziyu Chen Yingzhou Li Xiuyuan Cheng 137 7 0 14 Jun 2022
Understanding the Generalization Performance of Spectral Clustering AlgorithmsAAAI Conference on Artificial Intelligence (AAAI), 2022 Shaojie Li Shengqi Ouyang Yong Liu 233 6 0 30 Apr 2022
Learning Low-Dimensional Nonlinear Structures from High-Dimensional Noisy Data: An Integral Operator ApproachAnnals of Statistics (Ann. Stat.), 2022 Xiucai Ding Rongkai Ma 368 13 0 28 Feb 2022
Minimax Optimal Regression over Sobolev Spaces via Laplacian Eigenmaps on Neighborhood GraphsInformation and Inference A Journal of the IMA (JIII), 2021 Alden Green Sivaraman Balakrishnan Robert Tibshirani 237 12 0 14 Nov 2021
Large sample spectral analysis of graph-based multi-manifold clusteringJournal of machine learning research (JMLR), 2021 Nicolas García Trillos Pengfei He Chenghui Li 223 11 0 28 Jul 2021
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolationApplied and Computational Harmonic Analysis (ACHA), 2021 Xiuyuan Cheng Nan Wu 312 30 0 25 Jan 2021
Parzen Window Approximation on Riemannian ManifoldPattern Recognition (Pattern Recognit.), 2020 A. Abhishek S. Verma 106 2 0 29 Dec 2020
Convergence of Graph Laplacian with kNN Self-tuned Kernels Xiuyuan Cheng Hau‐Tieng Wu 279 27 0 03 Nov 2020
Lipschitz regularity of graph Laplacians on random data cloudsSIAM Journal on Mathematical Analysis (SIAM J. Math. Anal.), 2020 Jeff Calder Nicolas García Trillos M. Lewicka 283 39 0 13 Jul 2020
A metric on directed graphs and Markov chains based on hitting probabilities Z. Boyd Nicolas Fraiman J. Marzuola P. Mucha Braxton Osting Jonathan Weare 245 9 0 25 Jun 2020
Consistency of Anchor-based Spectral ClusteringInformation and Inference A Journal of the IMA (JIII), 2020 Henry-Louis de Kergorlay D. Higham 177 6 0 24 Jun 2020
Construction and Monte Carlo estimation of wavelet frames generated by a reproducing kernel Ernesto De Vito Ž. Kereta Valeriya Naumova Lorenzo Rosasco Stefano Vigogna 233 3 0 17 Jun 2020
Data-driven Efficient Solvers for Langevin Dynamics on Manifold in High Dimensions Yuan Gao Jiang Liu Nan Wu 346 13 0 22 May 2020
The SPDE Approach to Matérn Fields: Graph RepresentationsStatistical Science (Statist. Sci.), 2020 D. Sanz-Alonso Ruiyi Yang 320 21 0 16 Apr 2020
The Spectral Underpinning of word2vecFrontiers in Applied Mathematics and Statistics (FAMS), 2020 Ariel Jaffe Y. Kluger Ofir Lindenbaum J. Patsenker Erez Peterfreund Stefan Steinerberger 280 8 0 27 Feb 2020
Scalability and robustness of spectral embedding: landmark diffusion is all you needInformation and Inference A Journal of the IMA (JIII), 2020 Chao Shen Hau‐Tieng Wu 321 32 0 03 Jan 2020
$Spectral Convergence of Graph Laplacian and Heat Kernel Reconstruction in $L^\infty$ from Random Samples$ Spectral Convergence of Graph Laplacian and Heat Kernel Reconstruction in $L^\infty$ from Random Samples David B. Dunson Hau‐Tieng Wu Nan Wu 467 73 0 11 Dec 2019
Improved spectral convergence rates for graph Laplacians on epsilon-graphs and k-NN graphs Jeff Calder Nicolas García Trillos 285 40 0 29 Oct 2019
PDE-Inspired Algorithms for Semi-Supervised Learning on Point Clouds Oliver M. Crook Tim Hurst Carola-Bibiane Schönlieb Matthew Thorpe K. Zygalakis 3DPC 173 2 0 23 Sep 2019
$Unsupervised Co-Learning on $\mathcal{G}$-Manifolds Across Irreducible Representations$ Unsupervised Co-Learning on $\mathcal{G}$ -Manifolds Across Irreducible RepresentationsNeural Information Processing Systems (NeurIPS), 2019 Yifeng Fan Tingran Gao Zhizhen Zhao 249 7 0 06 Jun 2019
When Locally Linear Embedding Hits Boundary Hau‐Tieng Wu Nan Wu 223 11 0 11 Nov 2018
Learning by Unsupervised Nonlinear Diffusion Mauro Maggioni James M. Murphy DiffM 232 42 0 15 Oct 2018
Certifying Global Optimality of Graph Cuts via Semidefinite Relaxation: A Performance Guarantee for Spectral ClusteringFoundations of Computational Mathematics (FoCM), 2018 Shuyang Ling Thomas Strohmer 233 20 0 29 Jun 2018
On Nonlinear Dimensionality Reduction, Linear Smoothing and Autoencoding Daniel Ting Sai Li 136 8 0 06 Mar 2018
Error estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator Nicolas García Trillos Moritz Gerlach Matthias Hein D. Slepčev 183 191 0 30 Jan 2018
On the Consistency of Graph-based Bayesian Learning and the Scalability of Sampling Algorithms Nicolas García Trillos Zachary T. Kaplan Thabo Samakhoana D. Sanz-Alonso 219 22 0 20 Oct 2017
Analysis of $p$ -Laplacian Regularization in Semi-Supervised Learning D. Slepčev Matthew Thorpe 193 123 0 19 Jul 2017
Think globally, fit locally under the Manifold Setup: Asymptotic Analysis of Locally Linear Embedding Hau‐Tieng Wu Nan Wu 188 41 0 12 Mar 2017
Efficient fetal-maternal ECG signal separation from two channel maternal abdominal ECG via diffusion-based channel selectionFrontiers in Physiology (Front. Physiol.), 2017 Ruilin Li Martin G Frasch Hau‐Tieng Wu 189 48 0 07 Feb 2017
Diffusion-based nonlinear filtering for multimodal data fusion with application to sleep stage assessment Ori Katz Ronen Talmon Y. Lo Hau‐Tieng Wu 144 4 0 13 Jan 2017
The Geometry of Synchronization Problems and Learning Group Actions Tingran Gao J. Brodzki S. Mukherjee 343 38 0 28 Oct 2016
Variational limits of k-NN graph based functionals on data cloudsSIAM Journal on Mathematics of Data Science (SIMODS), 2016 Nicolas García Trillos 294 9 0 03 Jul 2016
A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution FrameletsSIAM Journal of Imaging Sciences (SIAM J. Imaging Sci.), 2016 Rujie Yin Tingran Gao Yue M. Lu Ingrid Daubechies 230 53 0 04 Jun 2016
Consistency of modularity clustering on random geometric graphs Erik Davis S. Sethuraman 162 19 0 13 Apr 2016
The Diffusion Geometry of Fibre Bundles: Horizontal Diffusion Maps Tingran Gao 364 21 0 07 Feb 2016
Latent common manifold learning with alternating diffusion: analysis and applications Ronen Talmon Hau‐Tieng Wu MedIm 271 45 0 30 Jan 2016
Spectral Convergence Rate of Graph Laplacian Xu Wang 117 26 0 27 Oct 2015
Harmonic Extension Zuoqiang Shi Jian Sun Minghao Tian 122 4 0 22 Sep 2015
A variational approach to the consistency of spectral clusteringApplied and Computational Harmonic Analysis (ACHA), 2015 Nicolas García Trillos D. Slepčev 186 134 0 08 Aug 2015
Hypoelliptic Diffusion Maps I: Tangent Bundles Tingran Gao 90 0 0 17 Mar 2015
Ricci Curvature and the Manifold Learning ProblemAdvances in Mathematics (Adv. Math.), 2014 Antonio G. Ache M. Warren 292 12 0 13 Oct 2014