Neural Operator: Learning Maps Between Function Spaces

19 August 2021

Nikola B. Kovachki

Zong-Yi Li

Burigede Liu

Kamyar Azizzadenesheli

Papers citing "Neural Operator: Learning Maps Between Function Spaces"

50 / 283 papers shown

Title
Attention on the Sphere Boris Bonev Max Rietmann Andrea Paris Alberto Carpentieri Thorsten Kurth 17 0 0 16 May 2025
Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric Differential Equations Abdolmehdi Behroozi Chaopeng Shen and Daniel Kifer AI4CE 25 0 0 13 May 2025
Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation Fauzan Nazranda Rizqan Matthew Hole Charles Gretton 43 0 0 29 Apr 2025
Uncertainty propagation in feed-forward neural network models Jeremy Diamzon Daniele Venturi 60 0 0 27 Mar 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations Hamidreza Eivazi Jendrik-Alexander Tröger Stefan H. A. Wittek Stefan Hartmann Andreas Rausch AI4CE 43 0 0 27 Mar 2025
Teaching Artificial Intelligence to Perform Rapid, Resolution-Invariant Grain Growth Modeling via Fourier Neural Operator Iman Peivaste Ahmed Makradi Salim Belouettar AI4CE 34 0 0 18 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 52 0 0 14 Mar 2025
Model-Agnostic Knowledge Guided Correction for Improved Neural Surrogate Rollout Bharat Srikishan Daniel O'Malley Mohamed Mehana Nicholas Lubbers Nikhil Muralidhar AI4CE 47 0 0 13 Mar 2025
Probability-Flow ODE in Infinite-Dimensional Function Spaces Kunwoo Na Junghyun Lee Se-Young Yun Sungbin Lim 47 0 0 13 Mar 2025
Symbolic Neural Ordinary Differential Equations Xin Li Chengli Zhao Xue Zhang Xiaojun Duan 37 0 0 11 Mar 2025
Riemann Tensor Neural Networks: Learning Conservative Systems with Physics-Constrained Networks Anas Jnini Lorenzo Breschi Flavio Vella AI4CE 49 0 0 02 Mar 2025
Finite Element Operator Network for Solving Elliptic-type parametric PDEs Jae Yong Lee Seungchan Ko Youngjoon Hong 105 5 0 20 Feb 2025
Graph Neural Preconditioners for Iterative Solutions of Sparse Linear Systems Jie Chen AI4CE 59 2 0 28 Jan 2025
NeurOp-Diff:Continuous Remote Sensing Image Super-Resolution via Neural Operator Diffusion Zihao Xu Yuzhi Tang Bowen Xu Qingquan Li DiffM 62 0 0 20 Jan 2025
Tensor-GaLore: Memory-Efficient Training via Gradient Tensor Decomposition Robert Joseph George David Pitt Jiawei Zhao Jean Kossaifi Cheng Luo Yuandong Tian Anima Anandkumar 35 1 0 04 Jan 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
Advancing Generalization in PINNs through Latent-Space Representations Honghui Wang Yifan Pu Shiji Song Gao Huang AI4CE PINN 69 0 0 28 Nov 2024
How Analysis Can Teach Us the Optimal Way to Design Neural Operators Vu-Anh Le Mehmet Dik 36 0 0 04 Nov 2024
A Mathematical Analysis of Neural Operator Behaviors Vu-Anh Le Mehmet Dik AI4CE 22 1 0 28 Oct 2024
On conditional diffusion models for PDE simulations Aliaksandra Shysheya Cristiana-Diana Diaconu Federico Bergamin P. Perdikaris José Miguel Hernández-Lobato Richard E. Turner Emile Mathieu DiffM 23 5 0 21 Oct 2024
Deep Optimal Sensor Placement for Black Box Stochastic Simulations Paula Cordero-Encinar Tobias Schröder P. Yatsyshin Andrew Duncan 45 0 0 15 Oct 2024
Score Neural Operator: A Generative Model for Learning and Generalizing Across Multiple Probability Distributions Xinyu Liao Aoyang Qin Jacob H. Seidman Junqi Wang Wei Wang P. Perdikaris DiffM 23 0 0 11 Oct 2024
Identification of Mean-Field Dynamics using Transformers Shiba Biswal Karthik Elamvazhuthi Rishi Sonthalia AI4CE 27 1 0 06 Oct 2024
A Unified Model for Compressed Sensing MRI Across Undersampling Patterns Armeet Singh Jatyani Jiayun Wang Zihui Wu Miguel Liu-Schiaffini Bahareh Tolooshams Anima Anandkumar Anima Anandkumar 29 1 0 05 Oct 2024
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 40 4 0 02 Aug 2024
Physics-embedded Fourier Neural Network for Partial Differential Equations Qingsong Xu Nils Thuerey Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 29 0 0 15 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 34 43 0 09 Jul 2024
AnySR: Realizing Image Super-Resolution as Any-Scale, Any-Resource Wengyi Zhan Mingbao Lin Chia-Wen Lin Rongrong Ji 52 2 0 05 Jul 2024
Self-supervised Pretraining for Partial Differential Equations Varun Madhavan Amal S Sebastian Bharath Ramsundar Venkatasubramanian Viswanathan AI4CE 33 0 0 03 Jul 2024
Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning Matthew Lowery John Turnage Zachary Morrow J. Jakeman Akil Narayan Shandian Zhe Varun Shankar 41 1 0 30 Jun 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 36 2 0 24 Jun 2024
Learning the boundary-to-domain mapping using Lifting Product Fourier Neural Operators for partial differential equations Aditya Kashi Arka Daw Muralikrishnan Gopalakrishnan Meena Hao Lu AI4CE 34 2 0 24 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 34 1 0 14 Jun 2024
Neural networks in non-metric spaces Luca Galimberti 48 1 0 13 Jun 2024
Space-Time Continuous PDE Forecasting using Equivariant Neural Fields David M. Knigge David R. Wessels Riccardo Valperga Samuele Papa J. Sonke E. Gavves Erik J. Bekkers AI4CE 36 4 0 10 Jun 2024
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations Jan Hagnberger Marimuthu Kalimuthu Daniel Musekamp Mathias Niepert AI4TS AI4CE 47 5 0 06 Jun 2024
Pi-fusion: Physics-informed diffusion model for learning fluid dynamics Jing Qiu Jiancheng Huang Xiangdong Zhang Zeng Lin Minglei Pan Zengding Liu F. Miao AI4CE 32 3 0 06 Jun 2024
MLIP: Efficient Multi-Perspective Language-Image Pretraining with Exhaustive Data Utilization Yu Zhang Qi Zhang Zixuan Gong Yiwei Shi Yepeng Liu ... Ke Liu Kun Yi Wei Fan Liang Hu Changwei Wang CLIP VLM 61 3 0 03 Jun 2024
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems Karn Tiwari N. M. A. Krishnan P. PrathoshA 26 0 0 01 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
Learning Flame Evolution Operator under Hybrid Darrieus Landau and Diffusive Thermal Instability Rixin Yu Erdzan Hodzic Karl-johan Nogenmyr AI4CE 23 1 0 11 May 2024
Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks R. Mattey Susanta Ghosh AI4CE 43 1 0 09 May 2024
Understanding the Difficulty of Solving Cauchy Problems with PINNs Tao Wang Bo-Lu Zhao Sicun Gao Rose Yu 41 1 0 04 May 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024
Neural Operators Learn the Local Physics of Magnetohydrodynamics Taeyoung Kim Youngsoo Ha Myungjoo Kang AI4CE 29 0 0 24 Apr 2024
Learning S-Matrix Phases with Neural Operators V. Niarchos C. Papageorgakis 19 3 0 22 Apr 2024
End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver Shaocong Ma James Diffenderfer B. Kailkhura Yi Zhou AI4CE 40 0 0 17 Apr 2024
Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators Blaine Quackenbush P. Atzberger AI4CE 33 0 0 16 Apr 2024
Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective Shaoxiang Qin Fuyuan Lyu Wenhui Peng Dingyang Geng Ju Wang Naiping Gao Xue Liu L. Wang AI4CE 34 0 0 10 Apr 2024
Dynamic Conditional Optimal Transport through Simulation-Free Flows Gavin Kerrigan Giosue Migliorini Padhraic Smyth OT 38 10 0 05 Apr 2024