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Chart Auto-Encoders for Manifold Structured Data

Chart Auto-Encoders for Manifold Structured Data

20 December 2019
Stefan C. Schonsheck
Jie Chen
Rongjie Lai
    DRL
    GNN
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Papers citing "Chart Auto-Encoders for Manifold Structured Data"

5 / 5 papers shown
Title
Pulling back symmetric Riemannian geometry for data analysis
Pulling back symmetric Riemannian geometry for data analysis
W. Diepeveen
32
2
0
11 Mar 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model
  Reduction for Operator Learning
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning
Hao Liu
Biraj Dahal
Rongjie Lai
Wenjing Liao
AI4CE
39
5
0
19 Jan 2024
Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow
Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow
Carlos E. Pérez De Jesús
Alec J. Linot
Michael D. Graham
AI4CE
40
1
0
15 Dec 2023
Deep Nonparametric Estimation of Intrinsic Data Structures by Chart
  Autoencoders: Generalization Error and Robustness
Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness
Hao Liu
Alex Havrilla
Rongjie Lai
Wenjing Liao
39
6
0
17 Mar 2023
Partition of unity networks: deep hp-approximation
Partition of unity networks: deep hp-approximation
Kookjin Lee
N. Trask
Ravi G. Patel
Mamikon A. Gulian
E. Cyr
22
30
0
27 Jan 2021
1