Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations
Fuente:
arXiv
Saved in:
| Main Authors: | Cheng, Ze, Hao, Zhongkai, Wang, Xiaoqiang, Huang, Jianing, Wu, Youjia, Liu, Xudan, Zhao, Yiru, Liu, Songming, Su, Hang |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators
by: Cheng, Ze, et al.
Published: (2025)
by: Cheng, Ze, et al.
Published: (2025)
Preconditioning for Physics-Informed Neural Networks
by: Liu, Songming, et al.
Published: (2024)
by: Liu, Songming, et al.
Published: (2024)
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving
by: Huang, Jianing, et al.
Published: (2025)
by: Huang, Jianing, et al.
Published: (2025)
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
by: Hao, Zhongkai, et al.
Published: (2024)
by: Hao, Zhongkai, et al.
Published: (2024)
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
by: Li, Zongyi, et al.
Published: (2022)
by: Li, Zongyi, et al.
Published: (2022)
Task Aware Dreamer for Task Generalization in Reinforcement Learning
by: Ying, Chengyang, et al.
Published: (2023)
by: Ying, Chengyang, et al.
Published: (2023)
Helix: Evolutionary Reinforcement Learning for Open-Ended Scientific Problem Solving
by: Su, Chang, et al.
Published: (2026)
by: Su, Chang, et al.
Published: (2026)
Discrete Solution Operator Learning for Geometry-Dependent PDEs
by: Bai, Jinshuai, et al.
Published: (2026)
by: Bai, Jinshuai, et al.
Published: (2026)
Pretrain Finite Element Method: A Pretraining and Warm-start Framework for PDEs via Physics-Informed Neural Operators
by: Wang, Yizheng, et al.
Published: (2026)
by: Wang, Yizheng, et al.
Published: (2026)
Improved Operator Learning by Orthogonal Attention
by: Xiao, Zipeng, et al.
Published: (2023)
by: Xiao, Zipeng, et al.
Published: (2023)
Autoregression-Free Neural Operators for Time-Dependent PDEs
by: Zhang, Jiaquan, et al.
Published: (2026)
by: Zhang, Jiaquan, et al.
Published: (2026)
Latent Neural Operator Pretraining for Solving Time-Dependent PDEs
by: Wang, Tian, et al.
Published: (2024)
by: Wang, Tian, et al.
Published: (2024)
Neural Diffeomorphic-Neural Operator for Residual Stress-Induced Deformation Prediction
by: Liu, Changqing, et al.
Published: (2025)
by: Liu, Changqing, et al.
Published: (2025)
Enhancing Solutions for Complex PDEs: Introducing Complementary Convolution and Equivariant Attention in Fourier Neural Operators
by: Zhao, Xuanle, et al.
Published: (2023)
by: Zhao, Xuanle, et al.
Published: (2023)
Deep Neural ODE Operator Networks for PDEs
by: Li, Ziqian, et al.
Published: (2025)
by: Li, Ziqian, et al.
Published: (2025)
Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries
by: Zeng, Chenyu, et al.
Published: (2025)
by: Zeng, Chenyu, et al.
Published: (2025)
From Cheap Geometry to Expensive Physics: Elevating Neural Operators via Latent Shape Pretraining
by: Zhang, Zhizhou, et al.
Published: (2025)
by: Zhang, Zhizhou, et al.
Published: (2025)
A Boundary Integral-based Neural Operator for Mesh Deformation
by: Wu, Zhengyu, et al.
Published: (2026)
by: Wu, Zhengyu, et al.
Published: (2026)
Unsupervised Deformable Image Registration with Structural Nonparametric Smoothing
by: Zhang, Hang, et al.
Published: (2025)
by: Zhang, Hang, et al.
Published: (2025)
Localized PCA-Net Neural Operators for Scalable Solution Reconstruction of Elliptic PDEs
by: Dhingra, Mrigank, et al.
Published: (2025)
by: Dhingra, Mrigank, et al.
Published: (2025)
Geometric Laplace Neural Operator
by: Tang, Hao, et al.
Published: (2025)
by: Tang, Hao, et al.
Published: (2025)
Approximation of Solution Operators for High-dimensional PDEs
by: Gaby, Nathan, et al.
Published: (2024)
by: Gaby, Nathan, et al.
Published: (2024)
Accelerated Quasi-Static FEM for Real-Time Modeling of Continuum Robots with Multiple Contacts and Large Deformation
by: Chen, Hao, et al.
Published: (2025)
by: Chen, Hao, et al.
Published: (2025)
Physics-Informed Neural Networks and Neural Operators for Parametric PDEs
by: Zhang, Zhuo, et al.
Published: (2025)
by: Zhang, Zhuo, et al.
Published: (2025)
Finite Operator Learning: Bridging Neural Operators and Numerical Methods for Efficient Parametric Solution and Optimization of PDEs
by: Rezaei, Shahed, et al.
Published: (2024)
by: Rezaei, Shahed, et al.
Published: (2024)
BENO: Boundary-embedded Neural Operators for Elliptic PDEs
by: Wang, Haixin, et al.
Published: (2024)
by: Wang, Haixin, et al.
Published: (2024)
Sumudu Neural Operator for ODEs and PDEs
by: Zelenskiy, Ben, et al.
Published: (2025)
by: Zelenskiy, Ben, et al.
Published: (2025)
Accelerating Data Generation for Neural Operators via Krylov Subspace Recycling
by: Wang, Hong, et al.
Published: (2024)
by: Wang, Hong, et al.
Published: (2024)
Recent Advances in Numerical Solutions for Hamilton-Jacobi PDEs
by: Meng, Tingwei, et al.
Published: (2025)
by: Meng, Tingwei, et al.
Published: (2025)
OSCAR: Operating System Control via State-Aware Reasoning and Re-Planning
by: Wang, Xiaoqiang, et al.
Published: (2024)
by: Wang, Xiaoqiang, et al.
Published: (2024)
GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries
by: Fei, Fangzhi, et al.
Published: (2025)
by: Fei, Fangzhi, et al.
Published: (2025)
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs
by: Cheng, Chun-Wun, et al.
Published: (2024)
by: Cheng, Chun-Wun, et al.
Published: (2024)
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations
by: Hao, Wenrui, et al.
Published: (2024)
by: Hao, Wenrui, et al.
Published: (2024)
RDT2: Exploring the Scaling Limit of UMI Data Towards Zero-Shot Cross-Embodiment Generalization
by: Liu, Songming, et al.
Published: (2026)
by: Liu, Songming, et al.
Published: (2026)
From reactive to cognitive: brain-inspired spatial intelligence for embodied agents
by: Ruan, Shouwei, et al.
Published: (2025)
by: Ruan, Shouwei, et al.
Published: (2025)
Fourier Controller Networks for Real-Time Decision-Making in Embodied Learning
by: Tan, Hengkai, et al.
Published: (2024)
by: Tan, Hengkai, et al.
Published: (2024)
Paeoniflorin Alleviates Immune Inflammation in Submandibular Gland Epithelial Cells in Sjögren's Syndrome Through Multiple Signaling Pathways
by: Zou Xudan, et al.
Published: (2025)
by: Zou Xudan, et al.
Published: (2025)
AnyPos: Automated Task-Agnostic Actions for Bimanual Manipulation
by: Tan, Hengkai, et al.
Published: (2025)
by: Tan, Hengkai, et al.
Published: (2025)
Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies
by: Yu, Hang
Published: (2025)
by: Yu, Hang
Published: (2025)
Lotka-Sharpe Neural Operators for Control of Population PDEs
by: Krstic, Miroslav, et al.
Published: (2026)
by: Krstic, Miroslav, et al.
Published: (2026)
Similar Items
-
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators
by: Cheng, Ze, et al.
Published: (2025) -
Preconditioning for Physics-Informed Neural Networks
by: Liu, Songming, et al.
Published: (2024) -
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving
by: Huang, Jianing, et al.
Published: (2025) -
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
by: Hao, Zhongkai, et al.
Published: (2024) -
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
by: Li, Zongyi, et al.
Published: (2022)