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Vector Diffusion Maps and the Connection Laplacian

Vector Diffusion Maps and the Connection Laplacian

1 February 2011
A. Singer
Hau-Tieng Wu
ArXiv (abs)PDFHTML

Papers citing "Vector Diffusion Maps and the Connection Laplacian"

50 / 106 papers shown
Title
Curvature Enhanced Data Augmentation for Regression
Curvature Enhanced Data Augmentation for Regression
Ilya Kaufman Sirot
Omri Azencot
18
0
0
07 Jun 2025
Higher-Order Group Synchronization
Higher-Order Group Synchronization
Adriana L. Duncan
Joe Kileel
64
0
0
28 May 2025
Copresheaf Topological Neural Networks: A Generalized Deep Learning Framework
Copresheaf Topological Neural Networks: A Generalized Deep Learning Framework
Mustafa Hajij
Lennart Bastian
Sarah Osentoski
Hardik Kabaria
John L. Davenport
...
Joseph G. Kocheemoolayil
Nastaran Shahmansouri
Adrian Lew
Theodore Papamarkou
Tolga Birdal
45
0
0
27 May 2025
Supervised Manifold Learning for Functional Data
Supervised Manifold Learning for Functional Data
Ruoxu Tan
Yiming Zang
132
0
0
23 Mar 2025
A Survey on Computational Solutions for Reconstructing Complete Objects by Reassembling Their Fractured Parts
A Survey on Computational Solutions for Reconstructing Complete Objects by Reassembling Their Fractured Parts
Jiaxin Lu
Yongqing Liang
Huijun Han
Jiacheng Hua
Junfeng Jiang
Xin Li
Qixing Huang
3DV
137
3
0
18 Oct 2024
SRIF: Semantic Shape Registration Empowered by Diffusion-based Image
  Morphing and Flow Estimation
SRIF: Semantic Shape Registration Empowered by Diffusion-based Image Morphing and Flow Estimation
Mingze Sun
Chen Guo
Puhua Jiang
Shiwei Mao
Yurun Chen
Ruqi Huang
95
4
0
18 Sep 2024
Boundary Detection Algorithm Inspired by Locally Linear Embedding
Boundary Detection Algorithm Inspired by Locally Linear Embedding
Pei-Cheng Kuo
Nan Wu
55
0
0
26 Jun 2024
First-Order Manifold Data Augmentation for Regression Learning
First-Order Manifold Data Augmentation for Regression Learning
Ilya Kaufman
Omri Azencot
52
4
0
16 Jun 2024
Bundle Neural Networks for message diffusion on graphs
Bundle Neural Networks for message diffusion on graphs
Jacob Bamberger
Federico Barbero
Xiaowen Dong
Michael M. Bronstein
118
3
0
24 May 2024
Random Multi-Type Spanning Forests for Synchronization on Sparse Graphs
Random Multi-Type Spanning Forests for Synchronization on Sparse Graphs
Hugo Jaquard
P. Amblard
Simon Barthelmé
Nicolas M Tremblay
62
1
0
28 Mar 2024
Path Signatures and Graph Neural Networks for Slow Earthquake Analysis:
  Better Together?
Path Signatures and Graph Neural Networks for Slow Earthquake Analysis: Better Together?
Hans Riess
M. Veveakis
Michael M. Zavlanos
135
2
0
05 Feb 2024
Convergence analysis of t-SNE as a gradient flow for point cloud on a
  manifold
Convergence analysis of t-SNE as a gradient flow for point cloud on a manifold
Seonghyeon Jeong
Hau-tieng Wu
49
3
0
31 Jan 2024
Multi-Irreducible Spectral Synchronization for Robust Rotation Averaging
Multi-Irreducible Spectral Synchronization for Robust Rotation Averaging
Owen Howell
Haoen Huang
David Rosen
64
0
0
28 Nov 2023
Manifold learning: what, how, and why
Manifold learning: what, how, and why
M. Meilă
Hanyu Zhang
88
59
0
07 Nov 2023
Implicit Gaussian process representation of vector fields over arbitrary
  latent manifolds
Implicit Gaussian process representation of vector fields over arbitrary latent manifolds
Robert L. Peach
M. Vinao-Carl
Nir Grossman
Michael David
Emma-Jane Mallas
David Sharp
Paresh A. Malhotra
P. Vandergheynst
Adam Gosztolai
90
5
0
28 Sep 2023
Principal subbundles for dimension reduction
Principal subbundles for dimension reduction
M. Akhøj
J. Benn
E. Grong
Stefan Sommer
Xavier Pennec
80
1
0
06 Jul 2023
Structural Balance and Random Walks on Complex Networks with Complex
  Weights
Structural Balance and Random Walks on Complex Networks with Complex Weights
Yu Tian
R. Lambiotte
50
11
0
04 Jul 2023
Data Representations' Study of Latent Image Manifolds
Data Representations' Study of Latent Image Manifolds
Ilya Kaufman
Omri Azencot
69
8
0
31 May 2023
Zoo Guide to Network Embedding
Zoo Guide to Network Embedding
Anthony Baptista
Rubén J. Sánchez-García
A. Baudot
Ginestra Bianconi
GNN
87
7
0
05 May 2023
Interpretable statistical representations of neural population dynamics
  and geometry
Interpretable statistical representations of neural population dynamics and geometry
Adam Gosztolai
Robert L. Peach
Alexis Arnaudon
Mauricio Barahona
P. Vandergheynst
78
10
0
06 Apr 2023
The G-invariant graph Laplacian
The G-invariant graph Laplacian
E. Rosen
Paulina Hoyos
Xiuyuan Cheng
Joe Kileel
Y. Shkolnisky
52
1
0
29 Mar 2023
Tangent Bundle Convolutional Learning: from Manifolds to Cellular
  Sheaves and Back
Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back
Claudio Battiloro
Zhiyang Wang
Hans Riess
Paolo Di Lorenzo
Alejandro Ribeiro
72
11
0
20 Mar 2023
Dictionary-based Manifold Learning
Dictionary-based Manifold Learning
Hanyu Zhang
Samson Koelle
M. Meilă
140
1
0
01 Feb 2023
Interpretable Dimensionality Reduction by Feature Preserving Manifold
  Approximation and Projection
Interpretable Dimensionality Reduction by Feature Preserving Manifold Approximation and Projection
Yang Yang
Hongjian Sun
Jialei Gong
Di Yu
FAtt
58
2
0
17 Nov 2022
Augmentation Invariant Manifold Learning
Augmentation Invariant Manifold Learning
Shulei Wang
244
1
0
01 Nov 2022
Tangent Bundle Filters and Neural Networks: from Manifolds to Cellular
  Sheaves and Back
Tangent Bundle Filters and Neural Networks: from Manifolds to Cellular Sheaves and Back
Claudio Battiloro
Zhiyang Wang
Hans Riess
P. Lorenzo
Alejandro Ribeiro
96
14
0
26 Oct 2022
Smoothing complex-valued signals on Graphs with Monte-Carlo
Smoothing complex-valued signals on Graphs with Monte-Carlo
Hugo Jaquard
Michaël Fanuel
P. Amblard
Rémi Bardenet
Simon Barthelmé
Nicolas M Tremblay
98
3
0
15 Oct 2022
Graph Convolutional Networks from the Perspective of Sheaves and the
  Neural Tangent Kernel
Graph Convolutional Networks from the Perspective of Sheaves and the Neural Tangent Kernel
Thomas Gebhart
GNN
58
1
0
19 Aug 2022
Geometric Scattering on Measure Spaces
Geometric Scattering on Measure Spaces
Joyce A. Chew
M. Hirn
Smita Krishnaswamy
Deanna Needell
Michael Perlmutter
H. Steach
Siddharth Viswanath
Hau‐Tieng Wu
GNN
230
19
0
17 Aug 2022
Probabilistic PolarGMM: Unsupervised Cluster Learning of Very Noisy
  Projection Images of Unknown Pose
Probabilistic PolarGMM: Unsupervised Cluster Learning of Very Noisy Projection Images of Unknown Pose
Supawit Chockchowwat
Minh Nguyen
45
0
0
26 Jun 2022
Robust Group Synchronization via Quadratic Programming
Robust Group Synchronization via Quadratic Programming
Yunpeng Shi
Cole Wyeth
Gilad Lerman
44
8
0
17 Jun 2022
Sheaf Neural Networks with Connection Laplacians
Sheaf Neural Networks with Connection Laplacians
Federico Barbero
Cristian Bodnar
Haitz Sáez de Ocáriz Borde
Michael M. Bronstein
Petar Velivcković
Pietro Lio
70
43
0
17 Jun 2022
Learning Effective SDEs from Brownian Dynamics Simulations of Colloidal
  Particles
Learning Effective SDEs from Brownian Dynamics Simulations of Colloidal Particles
N. Evangelou
Felix Dietrich
J. M. Bello-Rivas
Alex J Yeh
Rachel Stein
M. Bevan
Ioannis G. Kevekidis
DiffM
68
5
0
30 Apr 2022
Diffusion of Information on Networked Lattices by Gossip
Diffusion of Information on Networked Lattices by Gossip
Hans Riess
Robert Ghrist
71
10
0
01 Apr 2022
Learning Low-Dimensional Nonlinear Structures from High-Dimensional
  Noisy Data: An Integral Operator Approach
Learning Low-Dimensional Nonlinear Structures from High-Dimensional Noisy Data: An Integral Operator Approach
Xiucai Ding
Rongkai Ma
95
9
0
28 Feb 2022
Neural Sheaf Diffusion: A Topological Perspective on Heterophily and
  Oversmoothing in GNNs
Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs
Cristian Bodnar
Francesco Di Giovanni
B. Chamberlain
Pietro Lio
Michael M. Bronstein
99
183
0
09 Feb 2022
A survey of unsupervised learning methods for high-dimensional
  uncertainty quantification in black-box-type problems
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems
Katiana Kontolati
Dimitrios Loukrezis
D. D. Giovanis
Lohit Vandanapu
Michael D. Shields
68
43
0
09 Feb 2022
Manifold learning via quantum dynamics
Manifold learning via quantum dynamics
Akshat Kumar
M. Sarovar
64
0
0
20 Dec 2021
Inferring Manifolds From Noisy Data Using Gaussian Processes
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
Tangent Space and Dimension Estimation with the Wasserstein Distance
Uzu Lim
Harald Oberhauser
Vidit Nanda
93
8
0
12 Oct 2021
Weisfeiler and Lehman Go Cellular: CW Networks
Weisfeiler and Lehman Go Cellular: CW Networks
Cristian Bodnar
Fabrizio Frasca
N. Otter
Yu Guang Wang
Pietro Lio
Guido Montúfar
M. Bronstein
GNN
133
237
0
23 Jun 2021
Laplacian-Based Dimensionality Reduction Including Spectral Clustering,
  Laplacian Eigenmap, Locality Preserving Projection, Graph Embedding, and
  Diffusion Map: Tutorial and Survey
Laplacian-Based Dimensionality Reduction Including Spectral Clustering, Laplacian Eigenmap, Locality Preserving Projection, Graph Embedding, and Diffusion Map: Tutorial and Survey
Benyamin Ghojogh
A. Ghodsi
Fakhri Karray
Mark Crowley
65
12
0
03 Jun 2021
Efficient $\mathbb{Z}_2$ synchronization on $\mathbb{Z}^d$ under
  symmetry-preserving side information
Efficient Z2\mathbb{Z}_2Z2​ synchronization on Zd\mathbb{Z}^dZd under symmetry-preserving side information
A. Alaoui
36
0
0
03 Jun 2021
Joint Community Detection and Rotational Synchronization via
  Semidefinite Programming
Joint Community Detection and Rotational Synchronization via Semidefinite Programming
Yifeng Fan
Y. Khoo
Zhizhen Zhao
58
6
0
13 May 2021
HodgeNet: Learning Spectral Geometry on Triangle Meshes
HodgeNet: Learning Spectral Geometry on Triangle Meshes
Dmitriy Smirnov
Justin Solomon
87
26
0
26 Apr 2021
Helmholtzian Eigenmap: Topological feature discovery & edge flow
  learning from point cloud data
Helmholtzian Eigenmap: Topological feature discovery & edge flow learning from point cloud data
Yu-Chia Chen
Weicheng Wu
M. Meilă
Ioannis G. Kevrekidis
59
12
0
13 Mar 2021
An extension of the angular synchronization problem to the heterogeneous
  setting
An extension of the angular synchronization problem to the heterogeneous setting
Ning Zhang
Hemant Tyagi
41
6
0
29 Dec 2020
Sheaf Neural Networks
Sheaf Neural Networks
J. Hansen
Thomas Gebhart
GNN
48
43
0
08 Dec 2020
Impact of signal-to-noise ratio and bandwidth on graph Laplacian
  spectrum from high-dimensional noisy point cloud
Impact of signal-to-noise ratio and bandwidth on graph Laplacian spectrum from high-dimensional noisy point cloud
Xiucai Ding
Hau‐Tieng Wu
119
13
0
21 Nov 2020
Grassmannian diffusion maps based dimension reduction and classification
  for high-dimensional data
Grassmannian diffusion maps based dimension reduction and classification for high-dimensional data
K. D. Santos
D. D. Giovanis
Michael D. Shields
DiffM
39
10
0
16 Sep 2020
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