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1306.1587
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Spectral Convergence of the connection Laplacian from random samples
7 June 2013
A. Singer
Hau‐Tieng Wu
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Papers citing
"Spectral Convergence of the connection Laplacian from random samples"
50 / 53 papers shown
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Spectral Self-supervised Feature Selection
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Ofir Lindenbaum
Ariel Jaffe
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Landmark Alternating Diffusion
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Ronen Talmon
Mao-Pei Tsui
137
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Implicit Gaussian process representation of vector fields over arbitrary latent manifolds
International Conference on Learning Representations (ICLR), 2023
Robert L. Peach
M. Vinao-Carl
Nir Grossman
Michael David
Emma-Jane Mallas
David Sharp
Paresh A. Malhotra
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Adam Gosztolai
249
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28 Sep 2023
Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back
IEEE Transactions on Signal Processing (IEEE TSP), 2023
Claudio Battiloro
Zhiyang Wang
Hans Riess
Paolo Di Lorenzo
Alejandro Ribeiro
221
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20 Mar 2023
Consistency of Fractional Graph-Laplacian Regularization in Semi-Supervised Learning with Finite Labels
SIAM Journal on Mathematical Analysis (SIAM J. Math. Anal.), 2023
Adrien Weihs
Matthew Thorpe
285
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0
14 Mar 2023
Tangent Bundle Filters and Neural Networks: from Manifolds to Cellular Sheaves and Back
IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2022
Claudio Battiloro
Zhiyang Wang
Hans Riess
P. Lorenzo
Alejandro Ribeiro
283
15
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26 Oct 2022
Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise
Information and Inference A Journal of the IMA (JIII), 2022
Xiuyuan Cheng
Boris Landa
361
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0
22 Jun 2022
SpecNet2: Orthogonalization-free spectral embedding by neural networks
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Ziyu Chen
Yingzhou Li
Xiuyuan Cheng
151
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0
14 Jun 2022
Understanding the Generalization Performance of Spectral Clustering Algorithms
AAAI Conference on Artificial Intelligence (AAAI), 2022
Shaojie Li
Shengqi Ouyang
Yong Liu
255
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0
30 Apr 2022
Learning Low-Dimensional Nonlinear Structures from High-Dimensional Noisy Data: An Integral Operator Approach
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Xiucai Ding
Rongkai Ma
385
13
0
28 Feb 2022
Minimax Optimal Regression over Sobolev Spaces via Laplacian Eigenmaps on Neighborhood Graphs
Information and Inference A Journal of the IMA (JIII), 2021
Alden Green
Sivaraman Balakrishnan
Robert Tibshirani
265
12
0
14 Nov 2021
Large sample spectral analysis of graph-based multi-manifold clustering
Journal of machine learning research (JMLR), 2021
Nicolas García Trillos
Pengfei He
Chenghui Li
272
11
0
28 Jul 2021
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation
Applied and Computational Harmonic Analysis (ACHA), 2021
Xiuyuan Cheng
Nan Wu
353
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0
25 Jan 2021
Parzen Window Approximation on Riemannian Manifold
Pattern Recognition (Pattern Recognit.), 2020
A. Abhishek
S. Verma
107
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0
29 Dec 2020
Convergence of Graph Laplacian with kNN Self-tuned Kernels
Xiuyuan Cheng
Hau‐Tieng Wu
306
27
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03 Nov 2020
Lipschitz regularity of graph Laplacians on random data clouds
SIAM Journal on Mathematical Analysis (SIAM J. Math. Anal.), 2020
Jeff Calder
Nicolas García Trillos
M. Lewicka
314
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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
293
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0
25 Jun 2020
Consistency of Anchor-based Spectral Clustering
Information and Inference A Journal of the IMA (JIII), 2020
Henry-Louis de Kergorlay
D. Higham
205
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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
266
3
0
17 Jun 2020
Data-driven Efficient Solvers for Langevin Dynamics on Manifold in High Dimensions
Yuan Gao
Jiang Liu
Nan Wu
380
13
0
22 May 2020
The SPDE Approach to Matérn Fields: Graph Representations
Statistical Science (Statist. Sci.), 2020
D. Sanz-Alonso
Ruiyi Yang
368
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0
16 Apr 2020
The Spectral Underpinning of word2vec
Frontiers in Applied Mathematics and Statistics (FAMS), 2020
Ariel Jaffe
Y. Kluger
Ofir Lindenbaum
J. Patsenker
Erez Peterfreund
Stefan Steinerberger
282
8
0
27 Feb 2020
Scalability and robustness of spectral embedding: landmark diffusion is all you need
Information and Inference A Journal of the IMA (JIII), 2020
Chao Shen
Hau‐Tieng Wu
409
31
0
03 Jan 2020
Spectral Convergence of Graph Laplacian and Heat Kernel Reconstruction in
L
∞
L^\infty
L
∞
from Random Samples
David B. Dunson
Hau‐Tieng Wu
Nan Wu
489
72
0
11 Dec 2019
Improved spectral convergence rates for graph Laplacians on epsilon-graphs and k-NN graphs
Jeff Calder
Nicolas García Trillos
315
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
181
2
0
23 Sep 2019
Unsupervised Co-Learning on
G
\mathcal{G}
G
-Manifolds Across Irreducible Representations
Neural Information Processing Systems (NeurIPS), 2019
Yifeng Fan
Tingran Gao
Zhizhen Zhao
281
7
0
06 Jun 2019
When Locally Linear Embedding Hits Boundary
Hau‐Tieng Wu
Nan Wu
236
10
0
11 Nov 2018
Learning by Unsupervised Nonlinear Diffusion
Mauro Maggioni
James M. Murphy
DiffM
254
42
0
15 Oct 2018
Certifying Global Optimality of Graph Cuts via Semidefinite Relaxation: A Performance Guarantee for Spectral Clustering
Foundations of Computational Mathematics (FoCM), 2018
Shuyang Ling
Thomas Strohmer
238
20
0
29 Jun 2018
On Nonlinear Dimensionality Reduction, Linear Smoothing and Autoencoding
Daniel Ting
Sai Li
144
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
193
192
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
223
23
0
20 Oct 2017
Analysis of
p
p
p
-Laplacian Regularization in Semi-Supervised Learning
D. Slepčev
Matthew Thorpe
208
125
0
19 Jul 2017
Think globally, fit locally under the Manifold Setup: Asymptotic Analysis of Locally Linear Embedding
Hau‐Tieng Wu
Nan Wu
198
40
0
12 Mar 2017
Efficient fetal-maternal ECG signal separation from two channel maternal abdominal ECG via diffusion-based channel selection
Frontiers in Physiology (Front. Physiol.), 2017
Ruilin Li
Martin G Frasch
Hau‐Tieng Wu
190
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
149
4
0
13 Jan 2017
The Geometry of Synchronization Problems and Learning Group Actions
Tingran Gao
J. Brodzki
S. Mukherjee
395
39
0
28 Oct 2016
Variational limits of k-NN graph based functionals on data clouds
SIAM Journal on Mathematics of Data Science (SIMODS), 2016
Nicolas García Trillos
302
9
0
03 Jul 2016
A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets
SIAM Journal of Imaging Sciences (SIAM J. Imaging Sci.), 2016
Rujie Yin
Tingran Gao
Yue M. Lu
Ingrid Daubechies
247
53
0
04 Jun 2016
Consistency of modularity clustering on random geometric graphs
Erik Davis
S. Sethuraman
174
19
0
13 Apr 2016
The Diffusion Geometry of Fibre Bundles: Horizontal Diffusion Maps
Tingran Gao
395
21
0
07 Feb 2016
Latent common manifold learning with alternating diffusion: analysis and applications
Ronen Talmon
Hau‐Tieng Wu
MedIm
288
45
0
30 Jan 2016
Spectral Convergence Rate of Graph Laplacian
Xu Wang
120
26
0
27 Oct 2015
Harmonic Extension
Zuoqiang Shi
Jian Sun
Minghao Tian
135
4
0
22 Sep 2015
A variational approach to the consistency of spectral clustering
Applied and Computational Harmonic Analysis (ACHA), 2015
Nicolas García Trillos
D. Slepčev
207
137
0
08 Aug 2015
Hypoelliptic Diffusion Maps I: Tangent Bundles
Tingran Gao
97
0
0
17 Mar 2015
Ricci Curvature and the Manifold Learning Problem
Advances in Mathematics (Adv. Math.), 2014
Antonio G. Ache
M. Warren
323
12
0
13 Oct 2014
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