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Operator learning

Learn an operator between infinite dimensional Hilbert spaces or Banach spaces

Papers

Showing 301347 of 347 papers

TitleStatusHype
Sobolev Training for Operator Learning0
Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited Data0
Solving Partial Differential Equations in Different Domains by Operator Learning method Based on Boundary Integral Equations0
Solving PDE-constrained Control Problems Using Operator Learning0
DeepSeek vs. ChatGPT: A Comparative Study for Scientific Computing and Scientific Machine Learning Tasks0
DeepOSets: Non-Autoregressive In-Context Learning of Supervised Learning Operators0
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis0
Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator0
Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations0
Deep Operator Learning Lessens the Curse of Dimensionality for PDEs0
Dilated convolution neural operator for multiscale partial differential equations0
Dimension reduction for derivative-informed operator learning: An analysis of approximation errors0
DimOL: Dimensional Awareness as A New 'Dimension' in Operator Learning0
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains0
Discretization Error of Fourier Neural Operators0
Discriminative Nonlinear Analysis Operator Learning: When Cosparse Model Meets Image Classification0
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO)0
Domain Adaptive Safety Filters via Deep Operator Learning0
DPA-WNO: A gray box model for a class of stochastic mechanics problem0
Solving the Electrical Impedance Tomography Problem with a DeepONet Type Neural Network: Theory and Application0
Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems0
Derivative-informed neural operator acceleration of geometric MCMC for infinite-dimensional Bayesian inverse problems0
Efficient Token Mixing for Transformers via Adaptive Fourier Neural Operators0
ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines0
Wavelet neural operator: a neural operator for parametric partial differential equations0
Energy-Dissipative Evolutionary Deep Operator Neural Networks0
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid0
Ensemble models outperform single model uncertainties and predictions for operator-learning of hypersonic flows0
Spectral operator learning for parametric PDEs without data reliance0
Deep Operator Learning-based Surrogate Models with Uncertainty Quantification for Optimizing Internal Cooling Channel Rib Profiles0
DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training0
A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains0
Controlling Statistical, Discretization, and Truncation Errors in Learning Fourier Linear Operators0
Error-in-variables modelling for operator learning0
Fast and Accurate Reduced-Order Modeling of a MOOSE-based Additive Manufacturing Model with Operator Learning0
DeepONet Augmented by Randomized Neural Networks for Efficient Operator Learning in PDEs0
Neural Operator: Is data all you need to model the world? An insight into the impact of Physics Informed Machine Learning0
DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning0
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition0
DeepOFormer: Deep Operator Learning with Domain-informed Features for Fatigue Life Prediction0
FLRONet: Deep Operator Learning for High-Fidelity Fluid Flow Field Reconstruction from Sparse Sensor Measurements0
Forecasting subcritical cylinder wakes with Fourier Neural Operators0
Fourier-RNNs for Modelling Noisy Physics Data0
Fredholm Integral Equations Neural Operator (FIE-NO) for Data-Driven Boundary Value Problems0
Functional SDE approximation inspired by a deep operator network architecture0
FUSE: Fast Unified Simulation and Estimation for PDEs0
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning0
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