| Latent Neural Operator Pretraining for Solving Time-Dependent PDEs | Oct 26, 2024 | Operator learning | —Unverified | 0 |
| ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines | Jan 16, 2025 | Operator learning | —Unverified | 0 |
| Energy-Dissipative Evolutionary Deep Operator Neural Networks | Jun 9, 2023 | Operator learning | —Unverified | 0 |
| TANTE: Time-Adaptive Operator Learning via Neural Taylor Expansion | Feb 12, 2025 | Computational EfficiencyLanguage Modeling | —Unverified | 0 |
| Ensemble models outperform single model uncertainties and predictions for operator-learning of hypersonic flows | Oct 31, 2023 | Operator learningUncertainty Quantification | —Unverified | 0 |
| Component Fourier Neural Operator for Singularly Perturbed Differential Equations | Sep 7, 2024 | Operator learning | —Unverified | 0 |
| Learning Flame Evolution Operator under Hybrid Darrieus Landau and Diffusive Thermal Instability | May 11, 2024 | Operator learning | —Unverified | 0 |
| Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO) | Jul 18, 2023 | Operator learningSuper-Resolution | —Unverified | 0 |
| Nonparametric Sparse Online Learning of the Koopman Operator | May 13, 2024 | Operator learningSparse Learning | —Unverified | 0 |
| Controlling Statistical, Discretization, and Truncation Errors in Learning Fourier Linear Operators | Aug 16, 2024 | Operator learning | —Unverified | 0 |
| Error-in-variables modelling for operator learning | Apr 22, 2022 | Model DiscoveryOperator learning | —Unverified | 0 |
| Fast and Accurate Reduced-Order Modeling of a MOOSE-based Additive Manufacturing Model with Operator Learning | Aug 4, 2023 | Dimensionality ReductionOperator learning | —Unverified | 0 |
| Discriminative Nonlinear Analysis Operator Learning: When Cosparse Model Meets Image Classification | Apr 30, 2017 | ClassificationDictionary Learning | —Unverified | 0 |
| Neural Operator: Is data all you need to model the world? An insight into the impact of Physics Informed Machine Learning | Jan 30, 2023 | AllOperator learning | —Unverified | 0 |
| Discretization Error of Fourier Neural Operators | May 3, 2024 | Operator learning | —Unverified | 0 |
| DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains | Feb 11, 2024 | Operator learning | —Unverified | 0 |
| Accelerated parallel MRI using memory efficient and robust monotone operator learning (MOL) | Apr 3, 2023 | Compressive SensingOperator learning | —Unverified | 0 |
| FLRONet: Deep Operator Learning for High-Fidelity Fluid Flow Field Reconstruction from Sparse Sensor Measurements | Dec 11, 2024 | Computational EfficiencyOperator learning | —Unverified | 0 |
| DimOL: Dimensional Awareness as A New 'Dimension' in Operator Learning | Oct 8, 2024 | Operator learning | —Unverified | 0 |
| Fourier-RNNs for Modelling Noisy Physics Data | Feb 13, 2023 | Operator learningTime Series | —Unverified | 0 |
| Fredholm Integral Equations Neural Operator (FIE-NO) for Data-Driven Boundary Value Problems | Aug 20, 2024 | Operator learning | —Unverified | 0 |
| Functional SDE approximation inspired by a deep operator network architecture | Feb 5, 2024 | Operator learningUncertainty Quantification | —Unverified | 0 |
| Dimension reduction for derivative-informed operator learning: An analysis of approximation errors | Apr 11, 2025 | Dimensionality ReductionExperimental Design | —Unverified | 0 |
| Beyond Accuracy: EcoL2 Metric for Sustainable Neural PDE Solvers | May 18, 2025 | Operator learningPhysics-informed machine learning | —Unverified | 0 |
| Dilated convolution neural operator for multiscale partial differential equations | Jul 16, 2024 | Operator learning | —Unverified | 0 |
| Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse Problems | Nov 22, 2022 | Operator learning | —Unverified | 0 |
| Adaptive operator learning for infinite-dimensional Bayesian inverse problems | Oct 27, 2023 | Operator learning | —Unverified | 0 |
| Alpha-VI DeepONet: A prior-robust variational Bayesian approach for enhancing DeepONets with uncertainty quantification | Aug 1, 2024 | Operator learningUncertainty Quantification | —Unverified | 0 |
| Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations | Nov 27, 2024 | Operator learning | —Unverified | 0 |
| A Kernel Approach for PDE Discovery and Operator Learning | Oct 14, 2022 | Operator learning | —Unverified | 0 |
| Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis | Oct 24, 2022 | Operator learningvalid | —Unverified | 0 |
| Artificial intelligence for partial differential equations in computational mechanics: A review | Oct 21, 2024 | Operator learning | —Unverified | 0 |
| AI Foundation Models for Weather and Climate: Applications, Design, and Implementation | Sep 19, 2023 | Language ModelingLanguage Modelling | —Unverified | 0 |
| DeepSeek vs. ChatGPT: A Comparative Study for Scientific Computing and Scientific Machine Learning Tasks | Feb 25, 2025 | Operator learning | —Unverified | 0 |
| DeepOSets: Non-Autoregressive In-Context Learning of Supervised Learning Operators | Oct 11, 2024 | In-Context LearningOperator learning | —Unverified | 0 |
| A Resolution Independent Neural Operator | Jul 17, 2024 | Dictionary LearningOperator learning | —Unverified | 0 |
| Deep Operator Learning Lessens the Curse of Dimensionality for PDEs | Jan 28, 2023 | Operator learning | —Unverified | 0 |
| Deep Operator Learning-based Surrogate Models with Uncertainty Quantification for Optimizing Internal Cooling Channel Rib Profiles | Jun 1, 2023 | Operator learningUncertainty Quantification | —Unverified | 0 |
| Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning | May 31, 2023 | Operator learning | —Unverified | 0 |
| Joint MR sequence optimization beats pure neural network approaches for spin-echo MRI super-resolution | May 12, 2023 | Operator learningSuper-Resolution | —Unverified | 0 |
| DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training | Oct 6, 2024 | Operator learningPhysics-informed machine learning | —Unverified | 0 |
| DeepONet Augmented by Randomized Neural Networks for Efficient Operator Learning in PDEs | Mar 1, 2025 | Operator learning | —Unverified | 0 |
| Approximation Rates in Fréchet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers | Dec 27, 2024 | Operator learning | —Unverified | 0 |
| DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning | Nov 11, 2024 | Operator learningTransfer Learning | —Unverified | 0 |
| A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains | Apr 23, 2024 | Deep LearningOperator learning | —Unverified | 0 |
| Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone | Jun 24, 2024 | Operator learning | —Unverified | 0 |
| Improved Model based Deep Learning using Monotone Operator Learning (MOL) | Nov 22, 2021 | Deep LearningOperator learning | —Unverified | 0 |
| DeepOFormer: Deep Operator Learning with Domain-informed Features for Fatigue Life Prediction | Mar 28, 2025 | Operator learningPrediction | —Unverified | 0 |
| Insights into analysis operator learning: From patch-based sparse models to higher-order MRFs | Jan 13, 2014 | DenoisingImage Denoising | —Unverified | 0 |
| Image operator learning coupled with CNN classification and its application to staff line removal | Sep 19, 2017 | General ClassificationOperator learning | —Unverified | 0 |