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Keyword

neural operators

Description: Neural operators are machine-learning models that learn mappings between function spaces, often to approximate solutions of differential equations.
Wikidata ID: wiki/Q123501640
OpenAlex ID: keywords/neural-operators
How to Construct Deep Recurrent Neural Networks
2014 · Razvan Pascanu, Çaǧlar Gülçehre, et al. · International Conference on Learning Representations · 561
A comprehensive and fair comparison of two neural operators (with practical extensions) based on $\mathrm{FAIR}$ data
2021 · Lu, Lu, Meng, Xuhui, et al. · arXiv (Cornell University) · 514
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Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons
2023 · Apostolos F. Psaros, Xuhui Meng, et al. · Journal of Computational Physics · 455
Deep learning methods for flood mapping: a review of existing applications and future research directions
2022 · Roberto Bentivoglio, Elvin Isufi, et al. · Hydrology and earth system sciences · 453
Neural operators for accelerating scientific simulations and design
2024 · Kamyar Azizzadenesheli, Nikola Kovachki, et al. · Nature Reviews Physics · 316
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks and Operators in Scientific Computing: Fluid and Solid Mechanics
2024 · Salah A. Faroughi, Nikhil M. Pawar, et al. · Journal of Computing and Information Science in Engineering · 257
How to Construct Deep Recurrent Neural Networks
2013 · Pascanu, Razvan, Gulcehre, Caglar, et al. · arXiv (Cornell University) · 228
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MIONet: Learning Multiple-Input Operators via Tensor Product
2022 · Pengzhan Jin, Shuai Meng, et al. · SIAM Journal on Scientific Computing · 226
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Fourier Neural Operator for Parametric Partial Differential Equations
2021 · Zongyi Li, Nikola B. Kovachki, et al. · CaltechAUTHORS (California Institute of Technology) · 214
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Residual-based attention in physics-informed neural networks
2024 · Sokratis J. Anagnostopoulos, Juan Diego Toscano, et al. · Computer Methods in Applied Mechanics and Engineering · 192
Multipole Graph Neural Operator for Parametric Partial Differential Equations
2020 · Li, Zongyi, Kovachki, Nikola, et al. · arXiv (Cornell University) · 160
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Laplace neural operator for solving differential equations
2024 · Qianying Cao, Somdatta Goswami, et al. · Nature Machine Intelligence · 153
Neural Operator: Graph Kernel Network for Partial Differential Equations
2020 · Li, Zongyi, Kovachki, Nikola, et al. · arXiv (Cornell University) · 148
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DeepOKAN: Deep operator network based on Kolmogorov Arnold networks for mechanics problems
2025 · Diab W. Abueidda, Panos Pantidis, et al. · Computer Methods in Applied Mechanics and Engineering · 138
Surrogate modeling of pantograph-catenary system interactions
2024 · Yao Cheng, JingKe Yan, et al. · Mechanical Systems and Signal Processing · 136
Learning deep Implicit Fourier Neural Operators (IFNOs) with applications to heterogeneous material modeling
2022 · Huaiqian You, Quinn Zhang, et al. · Computer Methods in Applied Mechanics and Engineering · 126
Learning nonlinear operators in latent spaces for real-time predictions of complex dynamics in physical systems
2024 · Katiana Kontolati, Somdatta Goswami, et al. · Nature Communications · 117
Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems
2022 · Minglang Yin, Enrui Zhang, et al. · Computer Methods in Applied Mechanics and Engineering · 111
Adaptive Frequency Filters As Efficient Global Token Mixers
2023 · Zhipeng Huang, Zhizheng Zhang, et al. · IEEE/CVF International Conference on Computer Vision (ICCV) · 109
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Beta Embeddings for Multi-Hop Logical Reasoning in Knowledge Graphs
2020 · Ren, Hongyu, Leskovec, Jure · arXiv (Cornell University) · 93
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Seismic Wave Propagation and Inversion with Neural Operators
2021 · Yan Yang, Angela F. Gao, et al. · The Seismic Record · 90
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Super-Resolution Neural Operator
2023 · Min Wei, Xuesong Zhang · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · 82
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Neural Operator: Learning Maps Between Function Spaces
2021 · Kovachki, Nikola, Li, Zongyi, et al. · arXiv (Cornell University) · 74
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Discovering and forecasting extreme events via active learning in neural operators
2022 · Ethan Pickering, Stephen Guth, et al. · Nature Computational Science · 73
Neural operator prediction of linear instability waves in high-speed boundary layers
2022 · Patricio Clark Di Leoni, Lu Lu, et al. · Journal of Computational Physics · 73
Works count: 2,347
Citation count: 10,110
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