Wavelet neural operator: a neural operator for parametric partial differential equations

4 May 2022

Papers citing "Wavelet neural operator: a neural operator for parametric partial differential equations"

41 / 41 papers shown

Title
SetONet: A Deep Set-based Operator Network for Solving PDEs with permutation invariant variable input sampling Stepan Tretiakov Xingjian Li Krishna Kumar 37 0 0 07 May 2025
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study Prajwal Chauhan Salah Eddine Choutri Mohamed Ghattassi Nader Masmoudi Saif Eddin Jabari 39 0 0 25 Apr 2025
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 46 4 0 02 Aug 2024
An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study Milad Ramezankhani A. Deodhar Rishi Parekh Dagnachew Birru AI4CE 50 3 0 20 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 39 3 0 29 May 2024
High Energy Density Radiative Transfer in the Diffusion Regime with Fourier Neural Operators Joseph Farmer Ethan Smith William Bennett Ryan McClarren 19 1 0 07 May 2024
MD-NOMAD: Mixture density nonlinear manifold decoder for emulating stochastic differential equations and uncertainty propagation Akshay Thakur Souvik Chakraborty 42 1 0 24 Apr 2024
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response Ravi G. Patel C. Safta Reese E. Jones AI4CE 43 1 0 05 Apr 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations Andrey Bryutkin Jiahao Huang Zhongying Deng Guang Yang Carola-Bibiane Schönlieb Angelica E. Avilés-Rivero 46 6 0 05 Feb 2024
RiemannONets: Interpretable Neural Operators for Riemann Problems Ahmad Peyvan Vivek Oommen Ameya Dilip Jagtap George Karniadakis AI4CE 44 22 0 16 Jan 2024
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 37 38 0 22 Dec 2023
Can Physics Informed Neural Operators Self Improve? Ritam Majumdar Amey Varhade Shirish S. Karande L. Vig AI4CE 30 0 0 23 Nov 2023
Interpretable Neural PDE Solvers using Symbolic Frameworks Yolanne Yi Ran Lee AI4CE 32 0 0 31 Oct 2023
Electrical Impedance Tomography: A Fair Comparative Study on Deep Learning and Analytic-based Approaches Derick Nganyu Tanyu Jianfeng Ning Andreas Hauptmann Bangti Jin Peter Maass 29 7 0 28 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 20 10 0 08 Oct 2023
Waveformer for modelling dynamical systems N. Navaneeth Souvik Chakraborty 18 2 0 08 Oct 2023
CoNO: Complex Neural Operator for Continuous Dynamical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 30 1 0 03 Oct 2023
CoDBench: A Critical Evaluation of Data-driven Models for Continuous Dynamical Systems Priyanshu Burark Prathosh A P Karn Tiwari Meer Mehran Rashid Anoop Krishnan AI4CE 21 3 0 02 Oct 2023
Evaluation of Deep Neural Operator Models toward Ocean Forecasting Ellery Rajagopal Anantha N.S. Babu Tony Ryu P. Haley C. Mirabito Pierre FJ Lermusiaux AI4Cl AI4CE 22 1 0 22 Aug 2023
Size Lowerbounds for Deep Operator Networks Anirbit Mukherjee Amartya Roy AI4CE 30 3 0 11 Aug 2023
Hyena Neural Operator for Partial Differential Equations Saurabh Patil Zijie Li Amir Barati Farimani AI4CE 29 4 0 28 Jun 2023
An enrichment approach for enhancing the expressivity of neural operators with applications to seismology E. Haghighat U. Waheed George Karniadakis 27 0 0 07 Jun 2023
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 31 23 0 30 Apr 2023
A Direct Sampling-Based Deep Learning Approach for Inverse Medium Scattering Problems Jianfeng Ning Fuqun Han Jun Zou 26 11 0 29 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 31 0 0 25 Apr 2023
Multiscale Attention via Wavelet Neural Operators for Vision Transformers Anahita Nekoozadeh M. Ahmadzadeh Zahra Mardani ViT 38 2 0 22 Mar 2023
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation Jose Antonio Lara Benitez Takashi Furuya F. Faucher Anastasis Kratsios X. Tricoche Maarten V. de Hoop 42 16 0 27 Jan 2023
Random Grid Neural Processes for Parametric Partial Differential Equations Arnaud Vadeboncoeur Ieva Kazlauskaite Y. Papandreou F. Cirak Mark Girolami Ömer Deniz Akyildiz AI4CE 28 11 0 26 Jan 2023
Improved generalization with deep neural operators for engineering systems: Path towards digital twin Kazuma Kobayashi James Daniell S. B. Alam AI4CE 36 20 0 17 Jan 2023
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 23 34 0 06 Dec 2022
Model-agnostic stochastic model predictive control Tapas Tripura S. Chakraborty 26 5 0 23 Nov 2022
Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications Zhongkai Hao Songming Liu Yichi Zhang Chengyang Ying Yao Feng Hang Su Jun Zhu PINN AI4CE 39 91 0 15 Nov 2022
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis Luca Galimberti Anastasis Kratsios Giulia Livieri OOD 28 14 0 24 Oct 2022
Deep Physics Corrector: A physics enhanced deep learning architecture for solving stochastic differential equations Tushar S. Chakraborty 41 6 0 20 Sep 2022
Multi-fidelity wavelet neural operator with application to uncertainty quantification A. Thakur Tapas Tripura S. Chakraborty 35 12 0 11 Aug 2022
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 31 99 0 08 Jul 2022
Variational Bayes Deep Operator Network: A data-driven Bayesian solver for parametric differential equations Shailesh Garg S. Chakraborty 32 6 0 12 Jun 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 42 144 0 26 May 2022
Deep transfer operator learning for partial differential equations under conditional shift S. Goswami Katiana Kontolati Michael D. Shields George Karniadakis 38 97 0 20 Apr 2022
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 126 202 0 28 Sep 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 256 2,298 0 18 Oct 2020