MAD-NG: Meta-Auto-Decoder Neural Galerkin Method for Solving Parametric Partial Differential Equations
Fuente:
arXiv
Saved in:
| Main Authors: | Li, Qiuqi, Liu, Yiting, Zhao, Jin, Zhu, Wencan |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
LordNet: An Efficient Neural Network for Learning to Solve Parametric Partial Differential Equations without Simulated Data
by: Huang, Xinquan, et al.
Published: (2022)
by: Huang, Xinquan, et al.
Published: (2022)
Disentangled Representation Learning for Parametric Partial Differential Equations
by: Liu, Ning, et al.
Published: (2024)
by: Liu, Ning, et al.
Published: (2024)
WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations
by: Abid, Muhammad, et al.
Published: (2026)
by: Abid, Muhammad, et al.
Published: (2026)
Physics-Informed Laplace Neural Operator for Solving Partial Differential Equations
by: Kim, Heechang, et al.
Published: (2026)
by: Kim, Heechang, et al.
Published: (2026)
Meta-learning Loss Functions of Parametric Partial Differential Equations Using Physics-Informed Neural Networks
by: Koumpanakis, Michail, et al.
Published: (2024)
by: Koumpanakis, Michail, et al.
Published: (2024)
A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains
by: Ling, Shuo, et al.
Published: (2024)
by: Ling, Shuo, et al.
Published: (2024)
Finite Expression Method for Solving High-Dimensional Partial Differential Equations
by: Liang, Senwei, et al.
Published: (2022)
by: Liang, Senwei, et al.
Published: (2022)
A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
by: Liu, Shu, et al.
Published: (2024)
by: Liu, Shu, et al.
Published: (2024)
Physics-Informed Chebyshev Polynomial Neural Operator for Parametric Partial Differential Equations
by: Chen, Biao, et al.
Published: (2026)
by: Chen, Biao, et al.
Published: (2026)
Chebyshev Spectral Neural Networks for Solving Partial Differential Equations
by: Yin, Pengsong, et al.
Published: (2024)
by: Yin, Pengsong, et al.
Published: (2024)
Neural Green's Operators for Parametric Partial Differential Equations
by: Melchers, Hugo, et al.
Published: (2024)
by: Melchers, Hugo, et al.
Published: (2024)
Meta-Auto-Decoder: A Meta-Learning Based Reduced Order Model for Solving Parametric Partial Differential Equations
by: Ye, Zhanhong, et al.
Published: (2023)
by: Ye, Zhanhong, et al.
Published: (2023)
Parametric Encoding with Attention and Convolution Mitigate Spectral Bias of Neural Partial Differential Equation Solvers
by: Shishehbor, Mehdi, et al.
Published: (2024)
by: Shishehbor, Mehdi, et al.
Published: (2024)
Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network
by: Lin, Zhongshuo, et al.
Published: (2025)
by: Lin, Zhongshuo, et al.
Published: (2025)
A Novel Tensor Product-Based Neural Network for Solving Partial Differential Equations
by: Yang, Qihong, et al.
Published: (2026)
by: Yang, Qihong, et al.
Published: (2026)
Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method
by: Hardwick, Gareth, et al.
Published: (2024)
by: Hardwick, Gareth, et al.
Published: (2024)
Neural Quantum Spectral Operator Learning for Solving Partial Differential Equations
by: Kim, Chanyoung, et al.
Published: (2026)
by: Kim, Chanyoung, et al.
Published: (2026)
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations
by: Hagnberger, Jan, et al.
Published: (2024)
by: Hagnberger, Jan, et al.
Published: (2024)
Physics Informed Token Transformer for Solving Partial Differential Equations
by: Lorsung, Cooper, et al.
Published: (2023)
by: Lorsung, Cooper, et al.
Published: (2023)
Solving Partial Differential Equations with Equivariant Extreme Learning Machines
by: Harder, Hans, et al.
Published: (2024)
by: Harder, Hans, et al.
Published: (2024)
Solving Partial Differential Equations with Random Feature Models
by: Liao, Chunyang
Published: (2024)
by: Liao, Chunyang
Published: (2024)
Deep Parallel Spectral Neural Operators for Solving Partial Differential Equations with Enhanced Low-Frequency Learning Capability
by: Ma, Qinglong, et al.
Published: (2024)
by: Ma, Qinglong, et al.
Published: (2024)
Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equations
by: Farea, Afrah, et al.
Published: (2024)
by: Farea, Afrah, et al.
Published: (2024)
Learning to Solve Optimization Problems Constrained with Partial Differential Equations
by: Guven, Yusuf, et al.
Published: (2025)
by: Guven, Yusuf, et al.
Published: (2025)
Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations
by: Zhou, Wei, et al.
Published: (2024)
by: Zhou, Wei, et al.
Published: (2024)
Muti-Fidelity Prediction and Uncertainty Quantification with Laplace Neural Operators for Parametric Partial Differential Equations
by: Zheng, Haoyang, et al.
Published: (2025)
by: Zheng, Haoyang, et al.
Published: (2025)
Quantum Recurrent Neural Networks with Encoder-Decoder for Time-Dependent Partial Differential Equations
by: Chen, Yuan, et al.
Published: (2025)
by: Chen, Yuan, et al.
Published: (2025)
AE-ViT: Stable Long-Horizon Parametric Partial Differential Equations Modeling
by: Mikuš, Iva, et al.
Published: (2026)
by: Mikuš, Iva, et al.
Published: (2026)
Physics-embedded Fourier Neural Network for Partial Differential Equations
by: Xu, Qingsong, et al.
Published: (2024)
by: Xu, Qingsong, et al.
Published: (2024)
Decoding Partial Differential Equations: Cross-Modal Adaptation of Decoder-only Models to PDEs
by: García-de-Herreros, Paloma, et al.
Published: (2025)
by: García-de-Herreros, Paloma, et al.
Published: (2025)
Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations
by: Xiao, Xiongye, et al.
Published: (2023)
by: Xiao, Xiongye, et al.
Published: (2023)
Discovering Physics-Informed Neural Networks Model for Solving Partial Differential Equations through Evolutionary Computation
by: Zhang, Bo, et al.
Published: (2024)
by: Zhang, Bo, et al.
Published: (2024)
Quantum Neural Physics: Solving Partial Differential Equations on Quantum Simulators using Quantum Convolutional Neural Networks
by: Zhai, Jucai, et al.
Published: (2026)
by: Zhai, Jucai, et al.
Published: (2026)
Expanding the Chaos: Neural Operator for Stochastic (Partial) Differential Equations
by: Shi, Dai, et al.
Published: (2026)
by: Shi, Dai, et al.
Published: (2026)
AL-PINN: Active Learning-Driven Physics-Informed Neural Networks for Efficient Sample Selection in Solving Partial Differential Equations
by: Park, Keon Vin
Published: (2025)
by: Park, Keon Vin
Published: (2025)
Weak-Form Evolutionary Kolmogorov-Arnold Networks for Solving Partial Differential Equations
by: Kim, Bongseok, et al.
Published: (2026)
by: Kim, Bongseok, et al.
Published: (2026)
DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training
by: Yang, Yahong
Published: (2024)
by: Yang, Yahong
Published: (2024)
Automatic Differentiation is Essential in Training Neural Networks for Solving Differential Equations
by: Chen, Chuqi, et al.
Published: (2024)
by: Chen, Chuqi, et al.
Published: (2024)
Particle-Guided Diffusion Models for Partial Differential Equations
by: Millard, Andrew, et al.
Published: (2026)
by: Millard, Andrew, et al.
Published: (2026)
Applications and Manipulations of Physics-Informed Neural Networks in Solving Differential Equations
by: Gupta, Aarush, et al.
Published: (2025)
by: Gupta, Aarush, et al.
Published: (2025)
Similar Items
-
LordNet: An Efficient Neural Network for Learning to Solve Parametric Partial Differential Equations without Simulated Data
by: Huang, Xinquan, et al.
Published: (2022) -
Disentangled Representation Learning for Parametric Partial Differential Equations
by: Liu, Ning, et al.
Published: (2024) -
WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations
by: Abid, Muhammad, et al.
Published: (2026) -
Physics-Informed Laplace Neural Operator for Solving Partial Differential Equations
by: Kim, Heechang, et al.
Published: (2026) -
Meta-learning Loss Functions of Parametric Partial Differential Equations Using Physics-Informed Neural Networks
by: Koumpanakis, Michail, et al.
Published: (2024)