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Neural Operators for Accelerating Scientific Simulations and Design

Nature Reviews Physics (Nat. Rev. Phys.), 2023

27 September 2023

Kamyar Azzizadenesheli

Nikola B. Kovachki

Zong-Yi Li

Miguel Liu-Schiaffini

Papers citing "Neural Operators for Accelerating Scientific Simulations and Design"

50 / 62 papers shown

Title
Method of Manufactured Learning for Solver-free Training of Neural Operators Arth Sojitra Omer San AI4CE 126 0 0 17 Nov 2025
When is a System Discoverable from Data? Discovery Requires Chaos Zakhar Shumaylov Peter Zaika Philipp Scholl Gitta Kutyniok Lior Horesh Carola-Bibiane Schönlieb 95 0 0 12 Nov 2025
Mixture-of-Experts Operator Transformer for Large-Scale PDE Pre-Training Hong Wang Haiyang Xin Jie Wang Xuanze Yang Fei Zha Huanshuo Dong Yan Jiang MoE AI4CE 519 0 0 29 Oct 2025
A Physics-informed Multi-resolution Neural Operator Sumanta Roy B. Bahmani Ioannis G. Kevrekidis Michael D. Shields AI4CE 68 1 0 27 Oct 2025
Simultaneously Solving Infinitely Many LQ Mean Field Games In Hilbert Spaces: The Power of Neural Operators Dena Firoozi Anastasis Kratsios Xuwei Yang 80 2 0 22 Oct 2025
Deep Neural ODE Operator Networks for PDEs Ziqian Li Kang Liu Yongcun Song Hangrui Yue Enrique Zuazua AI4CE 97 0 0 17 Oct 2025
Principled Operator Learning in Ocean Dynamics: The Role of Temporal Structure Vahidreza Jahanmard Ali Ramezani-Kebrya Robinson Hordoir AI4CE 60 0 0 10 Oct 2025
Operator Learning for Power Systems Simulation Matthew Schlegel Matthew E. Taylor Mostafa Farrokhabadi 64 0 0 09 Oct 2025
HSNet: Heterogeneous Subgraph Network for Single Image Super-resolution Qiongyang Hu Wenyang Liu Wenbin Zou Yuejiao Su Lap-Pui Chau Yi Wang 108 1 0 08 Oct 2025
Physics-informed Neural-operator Predictive Control for Drag Reduction in Turbulent Flows Zelin Zhao Zongyi Li Kimia Hassibi Kamyar Azizzadenesheli Junchi Yan H. J. Bae Di Zhou Anima Anandkumar AI4CE 89 0 0 03 Oct 2025
RheOFormer: A generative transformer model for simulation of complex fluids and flows Maedeh Saberi Amir Barati Farimani Safa Jamali AI4CE 93 0 0 01 Oct 2025
F-Adapter: Frequency-Adaptive Parameter-Efficient Fine-Tuning in Scientific Machine Learning H. Zhang Chun Kang Yan Wang Difan Zou 173 0 0 27 Sep 2025
Learning Singularity-Encoded Green's Functions with Application to Iterative Methods Qi Sun Shengyan Li Bowen Zheng Lili Ju Xuejun Xu 88 1 0 15 Sep 2025
Sparse Autoencoder Neural Operators: Model Recovery in Function Spaces Bahareh Tolooshams Ailsa Shen A. Anandkumar 61 0 0 03 Sep 2025
Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements Xuyang Li Mahdi Masmoudi Rami Gharbi N. Lajnef Vishnu Boddeti AI4CE 115 0 0 29 Aug 2025
Neural Spline Operators for Risk Quantification in Stochastic Systems Zhuoyuan Wang Raffaele Romagnoli Kamyar Azizzadenesheli Yorie Nakahira 64 0 0 27 Aug 2025
Machine Learning Time Propagators for Time-Dependent Density Functional Theory Simulations Karan Shah A. Cangi AI4CE 104 1 0 22 Aug 2025
Generative Neural Operators of Log-Complexity Can Simultaneously Solve Infinitely Many Convex Programs Anastasis Kratsios Ariel Neufeld Philipp Schmocker 68 2 0 20 Aug 2025
Nested Operator Inference for Adaptive Data-Driven Learning of Reduced-order Models Nicole Aretz Karen Willcox AI4CE 56 0 0 15 Aug 2025
Next Generation Equation-Free Multiscale Modelling of Crowd Dynamics via Machine Learning Hector Vargas Alvarez Dimitrios G. Patsatzis Lucia Russo Ioannis G. Kevrekidis Constantinos Siettos AI4CE 78 1 0 05 Aug 2025
A Reward-Directed Diffusion Framework for Generative Design Optimization Hadi Keramati Patrick Kirchen Mohammed Hannan Rajeev K. Jaiman 112 0 0 02 Aug 2025
Scale-Consistent Learning for Partial Differential Equations Zongyi Li S. Lanthaler Catherine Deng Michael Chen Yixuan Wang Kamyar Azizzadenesheli Anima Anandkumar AI4CE 111 0 0 24 Jul 2025
Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterization Yuheng Chen Alexander Montes McNeil Taehyuk Park Blake A. Wilson Vaishnavi Iyer ... Vladimir M. Shalaev Michael Moebius Wenshan Cai Yongmin Liu A. Boltasseva 113 2 0 24 Jun 2025
Mesh-Informed Neural Operator : A Transformer Generative Approach Yaozhong Shi Zachary E. Ross D. Asimaki Kamyar Azizzadenesheli AI4CE 357 2 0 20 Jun 2025
An Attention-based Spatio-Temporal Neural Operator for Evolving Physics V. Karkaria Doksoo Lee Yi-Ping Chen Yue Yu Wei Chen AI4CE 135 0 0 12 Jun 2025
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning Julius Berner Miguel Liu-Schiaffini Jean Kossaifi Valentin Duruisseaux Boris Bonev Kamyar Azizzadenesheli A. Anandkumar AI4CE 324 2 0 12 Jun 2025
OmniFluids: Physics Pre-trained Modeling of Fluid Dynamics Rui Zhang Qi Meng Han Wan Yang Liu Zhi-Ming Ma Hao Sun AI4CE 291 0 0 12 Jun 2025
An Agentic Framework for Autonomous Metamaterial Modeling and Inverse DesignACS Photonics (ACS Photonics), 2025 Darui Lu Jordan M. Malof Willie J. Padilla AI4CE 152 3 0 07 Jun 2025
NOBLE -- Neural Operator with Biologically-informed Latent Embeddings to Capture Experimental Variability in Biological Neuron Models Luca Ghafourpour Valentin Duruisseaux Bahareh Tolooshams Philip H. Wong Costas A. Anastassiou A. Anandkumar 240 2 0 05 Jun 2025
SIFBench: An Extensive Benchmark for Fatigue Analysis Tushar Gautam R. Kirby Jacob Hochhalter Shandian Zhe AI4CE 92 0 0 01 Jun 2025
Neuro-Symbolic Operator for Interpretable and Generalizable Characterization of Complex Piezoelectric Systems Abhishek Chandra Taniya Kapoor M. Curti K. Tiels E. Lomonova 156 0 0 30 May 2025
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Han Wan Rui Zhang Hao Sun AI4CE 295 0 0 27 May 2025
Operator Learning for Schrödinger Equation: Unitarity, Error Bounds, and Time Generalization Yash Patel Unique Subedi Ambuj Tewari 188 0 0 23 May 2025
Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Luca Pellegrini Massimiliano Ghiotto Edoardo Centofanti Luca Franco Pavarino 255 0 0 20 May 2025
Mollifier Layers: Enabling Efficient High-Order Derivatives in Inverse PDE Learning Ananyae Kumar Bhartari Vinayak Vinayak Vivek B Shenoy AI4CE 425 1 0 16 May 2025
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning Yuanzhao Zhang William Gilpin AI4TS 171 1 0 16 May 2025
PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient SimulationsIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2025 Md Rakibul Hasan Pouria Behnoudfar Dan MacKinlay Thomas Poulet GAN 296 2 0 10 May 2025
Predicting The Evolution of Interfaces with Fourier Neural Operators Paolo Guida William L. Roberts AI4CE 231 0 0 05 May 2025
HJRNO: Hamilton-Jacobi Reachability with Neural Operators Yankai Li Mo Chen 188 0 0 28 Apr 2025
Geometry aware inference of steady state PDEs using Equivariant Neural Fields representations Giovanni Catalani Michaël Bauerheim Frédéric Tost Xavier Bertrand Joseph Morlier AI4CE 294 3 0 24 Apr 2025
Equilibrium Conserving Neural Operators for Super-Resolution Learning Vivek Oommen Andreas E. Robertson Daniel Diaz Coleman Alleman Zhen Zhang Anthony D. Rollett George Karniadakis Rémi Dingreville 221 3 0 18 Apr 2025
Enabling Automatic Differentiation with Mollified Graph Neural Operators Ryan Y. Lin Julius Berner Valentin Duruisseaux David Pitt Daniel Leibovici Jean Kossaifi Kamyar Azizzadenesheli Julius Berner AI4CE 241 3 0 11 Apr 2025
Fourier Neural Operator based surrogates for $CO_2$ storage in realistic geologies Anirban Chandra Marius Koch Suraj Pawar Aniruddha Panda Kamyar Azizzadenesheli ... Farah Hariri Clement Etienam Pandu Devarakota Julius Berner Detlef Hohl AI4CE 317 6 0 14 Mar 2025
FuncGenFoil: Airfoil Generation and Editing Model in Function Space Jinouwen Zhang Junjie Ren A. Yang Yan Lu Lu Chen ... Miao Zhang W. Ouyang Weizhen He Wanli Ouyang Shixiang Tang 1.2K 0 0 15 Feb 2025
Stochastic Process Learning via Operator Flow Matching Yaozhong Shi Zachary E. Ross D. Asimaki Kamyar Azizzadenesheli 474 5 0 07 Jan 2025
Radial Basis Operator Networks Jason Kurz Sean Oughton Shitao Liu 262 0 0 06 Oct 2024
Scientific Machine Learning SeismologyZisin (Journal of the Seismological Society of Japan 2nd ser ) (Zisin), 2024 Tomohisa Okazaki PINN AI4CE 391 1 0 27 Sep 2024
Zero-shot forecasting of chaotic systemsInternational Conference on Learning Representations (ICLR), 2024 Yuanzhao Zhang William Gilpin AI4TS 539 15 0 24 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition Milad Ramezankhani Rishi Parekh A. Deodhar Dagnachew Birru AI4CE 98 0 0 13 Sep 2024
Liquid Fourier Latent Dynamics Networks for fast GPU-based numerical simulations in computational cardiology Matteo Salvador Alison L. Marsden AI4CE 234 3 0 19 Aug 2024