| Physics-Informed Latent Neural Operator for Real-time Predictions of Complex Physical Systems | Jan 14, 2025 | GPUOperator learning | —Unverified | 0 |
| Orthogonal greedy algorithm for linear operator learning with shallow neural network | Jan 6, 2025 | Operator learning | —Unverified | 0 |
| Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach | Jan 2, 2025 | GeophysicsGPU | —Unverified | 0 |
| Approximation Rates in Fréchet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers | Dec 27, 2024 | Operator learning | —Unverified | 0 |
| Point-DeepONet: A Deep Operator Network Integrating PointNet for Nonlinear Analysis of Non-Parametric 3D Geometries and Load Conditions | Dec 24, 2024 | Operator learningUncertainty Quantification | CodeCode Available | 1 |
| KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics | Dec 21, 2024 | Kolmogorov-Arnold NetworksOperator learning | —Unverified | 0 |
| A Library for Learning Neural Operators | Dec 13, 2024 | Operator learning | CodeCode Available | 7 |
| Conformal Prediction on Quantifying Uncertainty of Dynamic Systems | Dec 12, 2024 | Conformal PredictionOperator learning | —Unverified | 0 |
| Operator Learning for Robust Stabilization of Linear Markov-Jumping Hyperbolic PDEs | Dec 12, 2024 | Computational EfficiencyOperator learning | —Unverified | 0 |
| A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems | Dec 12, 2024 | Operator learning | CodeCode Available | 1 |
| FLRONet: Deep Operator Learning for High-Fidelity Fluid Flow Field Reconstruction from Sparse Sensor Measurements | Dec 11, 2024 | Computational EfficiencyOperator learning | —Unverified | 0 |
| Adversarial Autoencoders in Operator Learning | Dec 10, 2024 | Operator learning | CodeCode Available | 0 |
| Some Best Practices in Operator Learning | Dec 9, 2024 | Operator learning | CodeCode Available | 0 |
| Loss Terms and Operator Forms of Koopman Autoencoders | Dec 5, 2024 | FormOperator learning | CodeCode Available | 0 |
| Nonlinear Operator Learning Using Energy Minimization and MLPs | Dec 5, 2024 | Operator learning | —Unverified | 0 |
| Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems | Dec 4, 2024 | Operator learning | —Unverified | 0 |
| Operator learning regularization for macroscopic permeability prediction in dual-scale flow problem | Nov 30, 2024 | Operator learning | —Unverified | 0 |
| Neural Operators for Predictor Feedback Control of Nonlinear Delay Systems | Nov 28, 2024 | Operator learning | —Unverified | 0 |
| Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations | Nov 27, 2024 | Operator learning | —Unverified | 0 |
| U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation | Nov 25, 2024 | Decision MakingDecoder | —Unverified | 0 |
| VICON: Vision In-Context Operator Networks for Multi-Physics Fluid Dynamics Prediction | Nov 25, 2024 | Computational EfficiencyIn-Context Learning | CodeCode Available | 1 |
| DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning | Nov 11, 2024 | Operator learningTransfer Learning | —Unverified | 0 |
| Mitigating Stop-and-Go Traffic Congestion with Operator Learning | Nov 7, 2024 | Computational EfficiencyOperator learning | —Unverified | 0 |
| PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices | Nov 5, 2024 | Operator learning | CodeCode Available | 1 |
| The Sample Complexity of Learning Lipschitz Operators with respect to Gaussian Measures | Oct 30, 2024 | Operator learning | —Unverified | 0 |
| Neural Hamilton: Can A.I. Understand Hamiltonian Mechanics? | Oct 28, 2024 | Computational EfficiencyMamba | CodeCode Available | 1 |
| Latent Neural Operator Pretraining for Solving Time-Dependent PDEs | Oct 26, 2024 | Operator learning | —Unverified | 0 |
| On the Benefits of Active Data Collection in Operator Learning | Oct 25, 2024 | Operator learning | CodeCode Available | 0 |
| Artificial intelligence for partial differential equations in computational mechanics: A review | Oct 21, 2024 | Operator learning | —Unverified | 0 |
| Domain Adaptive Safety Filters via Deep Operator Learning | Oct 18, 2024 | Operator learning | —Unverified | 0 |
| Holistic Physics Solver: Learning PDEs in a Unified Spectral-Physical Space | Oct 15, 2024 | Computational EfficiencyOperator learning | —Unverified | 0 |
| DeepOSets: Non-Autoregressive In-Context Learning of Supervised Learning Operators | Oct 11, 2024 | In-Context LearningOperator learning | —Unverified | 0 |
| Super Resolution Based on Deep Operator Networks | Oct 11, 2024 | Operator learningSuper-Resolution | —Unverified | 0 |
| DimOL: Dimensional Awareness as A New 'Dimension' in Operator Learning | Oct 8, 2024 | Operator learning | —Unverified | 0 |
| Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers | Oct 8, 2024 | Operator learningUnity | —Unverified | 0 |
| DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training | Oct 6, 2024 | Operator learningPhysics-informed machine learning | —Unverified | 0 |
| Leray-Schauder Mappings for Operator Learning | Oct 2, 2024 | Operator learning | CodeCode Available | 0 |
| Neural Scaling Laws of Deep ReLU and Deep Operator Network: A Theoretical Study | Oct 1, 2024 | Operator learning | —Unverified | 0 |
| Structure-Preserving Operator Learning | Oct 1, 2024 | Operator learning | CodeCode Available | 0 |
| Basis-to-Basis Operator Learning Using Function Encoders | Sep 30, 2024 | Operator learning | CodeCode Available | 1 |
| Scientific Machine Learning Seismology | Sep 27, 2024 | Deep LearningOperator learning | —Unverified | 0 |
| Generative AI for fast and accurate statistical computation of fluids | Sep 27, 2024 | Operator learning | CodeCode Available | 1 |
| In-Context Learning of Linear Systems: Generalization Theory and Applications to Operator Learning | Sep 18, 2024 | DiversityDomain Generalization | CodeCode Available | 0 |
| Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model | Sep 17, 2024 | Knowledge DistillationOperator learning | CodeCode Available | 0 |
| Towards Gaussian Process for operator learning: an uncertainty aware resolution independent operator learning algorithm for computational mechanics | Sep 17, 2024 | Computational EfficiencyOperator learning | —Unverified | 0 |
| PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics | Sep 15, 2024 | Operator learningPrediction | CodeCode Available | 1 |
| FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition | Sep 13, 2024 | Operator learningSuper-Resolution | —Unverified | 0 |
| Stratospheric aerosol source inversion: Noise, variability, and uncertainty quantification | Sep 10, 2024 | Dimensionality ReductionOperator learning | —Unverified | 0 |
| Component Fourier Neural Operator for Singularly Perturbed Differential Equations | Sep 7, 2024 | Operator learning | —Unverified | 0 |
| Operator Learning with Gaussian Processes | Sep 6, 2024 | Gaussian ProcessesOperator learning | CodeCode Available | 1 |