Convolutional Neural Operators for robust and accurate learning of PDEs

2 February 2023

Papers citing "Convolutional Neural Operators for robust and accurate learning of PDEs"

50 / 57 papers shown

Title
Integrating Locality-Aware Attention with Transformers for General Geometry PDEs Minsu Koh Beom-Chul Park Heejo Kong Seong-Whan Lee AI4CE 32 0 0 18 Apr 2025
Towards scientific machine learning for granular material simulations -- challenges and opportunities Marc Fransen Andreas Fürst D. Tunuguntla Daniel N. Wilke Benedikt Alkin ... Takayuki Shuku WaiChing Sun T. Weinhart Dongwei Ye Hongyang Cheng AI4CE 23 0 0 01 Apr 2025
New universal operator approximation theorem for encoder-decoder architectures (Preprint) Janek Gödeke Pascal Fernsel 27 0 0 31 Mar 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Y. Zhou Amir Barati Farimani DiffM AI4CE 65 0 0 28 Mar 2025
Enhancing Fourier Neural Operators with Local Spatial Features Chaoyu Liu Davide Murari Chris Budd Lihao Liu Carola-Bibiane Schönlieb AI4CE 36 0 0 22 Mar 2025
FLASHμ: Fast Localizing And Sizing of Holographic Microparticles Ayush Paliwal Oliver Schlenczek Birte Thiede Manuel Santos Pereira Katja Stieger Eberhard Bodenschatz Gholamhossein Bagheri Alexander Ecker 47 0 0 14 Mar 2025
No Forgetting Learning: Memory-free Continual Learning Mohammad Ali Vahedifar Qi Zhang 48 0 0 06 Mar 2025
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting Weiyan Wang Xingjian Shi Ruiqi Shu Yuan Gao Rui Chen ... Shuaipeng Li Yangyu Tao Di Wang Hao Wu Xiaomeng Huang 51 0 0 26 Feb 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning Ruben Ohana Michael McCabe Lucas Meyer Rudy Morel Fruzsina J. Agocs ... François Rozet Liam Parker M. Cranmer S. Ho Shirley Ho PINN AI4CE 59 6 1 30 Nov 2024
Gaussian Process Priors for Boundary Value Problems of Linear Partial Differential Equations Jianle iHuang Marc Härkönen Markus Lange-Hegermann Bogdan Raiță 65 0 0 25 Nov 2024
Neural Operators Can Play Dynamic Stackelberg Games Guillermo Alvarez Ibrahim Ekren Anastasis Kratsios Xuwei Yang 28 0 0 14 Nov 2024
PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices Hanqing Zhu Wenyan Cong Guojin Chen Shupeng Ning Ray T. Chen Jiaqi Gu D. Pan 16 1 0 05 Nov 2024
Simultaneously Solving FBSDEs with Neural Operators of Logarithmic Depth, Constant Width, and Sub-Linear Rank Takashi Furuya Anastasis Kratsios 23 1 0 18 Oct 2024
Model Balancing Helps Low-data Training and Fine-tuning Zihang Liu Y. Hu Tianyu Pang Yefan Zhou Pu Ren Yaoqing Yang 29 2 0 16 Oct 2024
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods Lise Le Boudec Emmanuel de Bezenac Louis Serrano Ramon Daniel Regueiro-Espino Yuan Yin Patrick Gallinari AI4CE 23 2 0 09 Oct 2024
$M$^{2}$M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need$ M $^{2}$ M: Learning controllable Multi of experts and multi-scale operators are the Partial Differential Equations need Aoming Liang Zhaoyang Mu Pengxiao Lin Cong Wang Mingming Ge Ling Shao Dixia Fan Hao Tang AI4CE 23 0 0 01 Oct 2024
Embed and Emulate: Contrastive representations for simulation-based inference Ruoxi Jiang Peter Y. Lu Rebecca Willett 22 0 0 27 Sep 2024
FlowBench: A Large Scale Benchmark for Flow Simulation over Complex Geometries Ronak Tali Ali Rabeh Cheng-Hau Yang Mehdi Shadkhah Samundra Karki ... Soumik Sarkar Adarsh Krishnamurthy Chinmay Hegde Aditya Balu Baskar Ganapathysubramanian AI4CE OOD 29 4 0 26 Sep 2024
Towards Gaussian Process for operator learning: an uncertainty aware resolution independent operator learning algorithm for computational mechanics Sawan Kumar R. Nayek Souvik Chakraborty 16 1 0 17 Sep 2024
Separable Operator Networks Xinling Yu S. Hooten Z. Liu Yequan Zhao M. Fiorentino T. Van Vaerenbergh Zheng-Wei Zhang 35 0 0 15 Jul 2024
Physics-embedded Fourier Neural Network for Partial Differential Equations Qingsong Xu Nils Thuerey Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 23 0 0 15 Jul 2024
Magnetic Hysteresis Modeling with Neural Operators Abhishek Chandra B. Daniels M. Curti K. Tiels E. Lomonova AI4CE 33 2 0 03 Jul 2024
Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone Christophe Bonneville N. Bieberdorf Arun Hegde Mark Asta H. Najm Laurent Capolungo C. Safta AI4CE 23 2 0 24 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 34 0 0 14 Jun 2024
Invariant multiscale neural networks for data-scarce scientific applications I. Schurov D. Alforov M. Katsnelson A. Bagrov A. Itin AI4CE 20 0 0 12 Jun 2024
Neural Green's Operators for Parametric Partial Differential Equations Hugo Melchers Joost Prins Michael Abdelmalik 41 3 0 04 Jun 2024
Solving partial differential equations with sampled neural networks Chinmay Datar Taniya Kapoor Abhishek Chandra Qing Sun Iryna Burak Erik Lien Bolager Anna Veselovska Massimo Fornasier Felix Dietrich 28 1 0 31 May 2024
From Structured to Unstructured:A Comparative Analysis of Computer Vision and Graph Models in solving Mesh-based PDEs J. Decke Olaf Wünsch Bernhard Sick Christian Gruhl 24 0 0 31 May 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 18 3 0 29 May 2024
BeamVQ: Aligning Space-Time Forecasting Model via Self-training on Physics-aware Metrics Hao Wu Xingjian Shi Ziyue Huang Penghao Zhao Wei Xiong Jinbao Xue Yangyu Tao Xiaomeng Huang Weiyan Wang AI4TS 28 1 0 27 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 25 0 0 27 May 2024
Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers Vladislav Trifonov Alexander Rudikov Oleg Iliev Ivan V. Oseledets Ekaterina A. Muravleva Ekaterina Muravleva 32 2 0 24 May 2024
FUSE: Fast Unified Simulation and Estimation for PDEs Levi E. Lingsch Dana Grund Siddhartha Mishra Georgios Kissas AI4CE 26 0 0 23 May 2024
Hierarchical Neural Operator Transformer with Learnable Frequency-aware Loss Prior for Arbitrary-scale Super-resolution Xihaier Luo Xiaoning Qian Byung-Jun Yoon 29 3 0 20 May 2024
Discretization Error of Fourier Neural Operators S. Lanthaler Andrew M. Stuart Margaret Trautner 30 4 0 03 May 2024
Mixture of Experts Soften the Curse of Dimensionality in Operator Learning Anastasis Kratsios Takashi Furuya Jose Antonio Lara Benitez Matti Lassas Maarten V. de Hoop 31 13 0 13 Apr 2024
Operator Learning: Algorithms and Analysis Nikola B. Kovachki S. Lanthaler Andrew M. Stuart 33 22 0 24 Feb 2024
Learning on manifolds without manifold learning H. Mhaskar Ryan O'Dowd 21 1 0 20 Feb 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems Da Long Zhitong Xu Qiwei Yuan Yin Yang Shandian Zhe AI4CE 64 5 0 18 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction Qilong Ma Haixu Wu Lanxiang Xing Jianmin Wang Mingsheng Long AI4CE 13 0 0 04 Feb 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 31 1 0 26 Jan 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 37 7 0 04 Jan 2024
An operator preconditioning perspective on training in physics-informed machine learning Tim De Ryck Florent Bonnet Siddhartha Mishra Emmanuel de Bezenac AI4CE 26 14 0 09 Oct 2023
AI Foundation Models for Weather and Climate: Applications, Design, and Implementation S. K. Mukkavilli Daniel Salles Civitarese J. Schmude Johannes Jakubik Anne Jones ... R. Ganti Hendrik Hamann U. Nair Rahul Ramachandran Kommy Weldemariam AI4Cl AI4CE 15 11 0 19 Sep 2023
Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning Francesca Bartolucci Emmanuel de Bezenac Bogdan Raonić Roberto Molinaro Siddhartha Mishra Rima Alaifari 16 13 0 31 May 2023
Koopman neural operator as a mesh-free solver of non-linear partial differential equations Wei Xiong Xiaomeng Huang Ziyang Zhang Ruixuan Deng Pei Sun Yang Tian AI4CE 11 30 0 24 Jan 2023
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 37 23 0 03 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 105 243 0 11 Jul 2022