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Operator learning

Learn an operator between infinite dimensional Hilbert spaces or Banach spaces

Papers

Showing 101150 of 347 papers

TitleStatusHype
Latent Neural Operator Pretraining for Solving Time-Dependent PDEs0
ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines0
Energy-Dissipative Evolutionary Deep Operator Neural Networks0
TANTE: Time-Adaptive Operator Learning via Neural Taylor Expansion0
Ensemble models outperform single model uncertainties and predictions for operator-learning of hypersonic flows0
Component Fourier Neural Operator for Singularly Perturbed Differential Equations0
Learning Flame Evolution Operator under Hybrid Darrieus Landau and Diffusive Thermal Instability0
Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO)0
Nonparametric Sparse Online Learning of the Koopman Operator0
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
Discriminative Nonlinear Analysis Operator Learning: When Cosparse Model Meets Image Classification0
Neural Operator: Is data all you need to model the world? An insight into the impact of Physics Informed Machine Learning0
Discretization Error of Fourier Neural Operators0
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains0
Accelerated parallel MRI using memory efficient and robust monotone operator learning (MOL)0
FLRONet: Deep Operator Learning for High-Fidelity Fluid Flow Field Reconstruction from Sparse Sensor Measurements0
DimOL: Dimensional Awareness as A New 'Dimension' in Operator Learning0
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
Dimension reduction for derivative-informed operator learning: An analysis of approximation errors0
Beyond Accuracy: EcoL2 Metric for Sustainable Neural PDE Solvers0
Dilated convolution neural operator for multiscale partial differential equations0
Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems0
Adaptive operator learning for infinite-dimensional Bayesian inverse problems0
Alpha-VI DeepONet: A prior-robust variational Bayesian approach for enhancing DeepONets with uncertainty quantification0
Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations0
A Kernel Approach for PDE Discovery and Operator Learning0
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis0
Artificial intelligence for partial differential equations in computational mechanics: A review0
AI Foundation Models for Weather and Climate: Applications, Design, and Implementation0
DeepSeek vs. ChatGPT: A Comparative Study for Scientific Computing and Scientific Machine Learning Tasks0
DeepOSets: Non-Autoregressive In-Context Learning of Supervised Learning Operators0
A Resolution Independent Neural Operator0
Deep Operator Learning Lessens the Curse of Dimensionality for PDEs0
Deep Operator Learning-based Surrogate Models with Uncertainty Quantification for Optimizing Internal Cooling Channel Rib Profiles0
Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning0
Joint MR sequence optimization beats pure neural network approaches for spin-echo MRI super-resolution0
DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training0
DeepONet Augmented by Randomized Neural Networks for Efficient Operator Learning in PDEs0
Approximation Rates in Fréchet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers0
DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning0
A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains0
Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone0
Improved Model based Deep Learning using Monotone Operator Learning (MOL)0
DeepOFormer: Deep Operator Learning with Domain-informed Features for Fatigue Life Prediction0
Insights into analysis operator learning: From patch-based sparse models to higher-order MRFs0
Image operator learning coupled with CNN classification and its application to staff line removal0
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