% Key papers for Neural operators for general geometries (scime atlas, https://atlas.scime.ai). Authors are not included: add them from the paper pages. @inproceedings{iclr2021_fourier_30463, title = {{Fourier Neural Operator for Parametric Partial Differential Equations}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2021}, url = {https://iclr.cc/virtual/2021/poster/3281}, } @inproceedings{neurips2020_implicit_60047, title = {{Implicit Neural Representations with Periodic Activation Functions}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2020}, url = {https://nips.cc/virtual/2020/poster/16958}, } @inproceedings{neurips2024_fourier_70851, title = {{Fourier Neural Operator with Learned Deformations for PDEs on General Geometries}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/98327}, } @inproceedings{neurips2021_multiwavelet_61973, title = {{Multiwavelet-based Operator Learning for Differential Equations}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2021}, url = {https://nips.cc/virtual/2021/poster/26769}, } @inproceedings{aaai2023_transfer_4872, title = {{Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2023}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/26262}, } @inproceedings{aaai2022_solving_2759, title = {{Solving PDE-Constrained Control Problems Using Operator Learning}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2022}, url = {https://aaai.org/papers/04504-solving-pde-constrained-control-problems-using-operator-learning/}, } @inproceedings{neurips2023_operator_66798, title = {{Operator Learning with Neural Fields: Tackling PDEs on General Geometries}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2023}, url = {https://nips.cc/virtual/2023/poster/72838}, } @inproceedings{neurips2024_latent_72450, title = {{Latent Neural Operator for Solving Forward and Inverse PDE Problems}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/94908}, } @inproceedings{neurips2021_ntopo_62654, title = {{NTopo: Mesh-free Topology Optimization using Implicit Neural Representations}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2021}, url = {https://nips.cc/virtual/2021/poster/27173}, } @inproceedings{neurips2022_neurolight_64542, title = {{NeurOLight: A Physics-Agnostic Neural Operator Enabling Parametric Photonic Device Simulation}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2022}, url = {https://nips.cc/virtual/2022/poster/55267}, } @inproceedings{icml2024_neural_45679, title = {{Neural Operators with Localized Integral and Differential Kernels}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/32773}, } @inproceedings{iclr2023_factorized_33308, title = {{Factorized Fourier Neural Operators}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2023}, url = {https://iclr.cc/virtual/2023/poster/10680}, } @inproceedings{icml2023_neural_42289, title = {{Neural Inverse Operators for Solving PDE Inverse Problems}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2023}, url = {https://icml.cc/virtual/2023/poster/24713}, } @inproceedings{iclr2022_steerable_31197, title = {{Steerable Partial Differential Operators for Equivariant Neural Networks}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2022}, url = {https://iclr.cc/virtual/2022/poster/6313}, } @inproceedings{icml2023_group_42820, title = {{Group Equivariant Fourier Neural Operators for Partial Differential Equations}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2023}, url = {https://icml.cc/virtual/2023/poster/23875}, } @inproceedings{neurips2023_steik_67823, title = {{StEik: Stabilizing the Optimization of Neural Signed Distance Functions and Finer Shape Representation}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2023}, url = {https://nips.cc/virtual/2023/poster/71936}, } @inproceedings{neurips2023_domain_69802, title = {{Domain Agnostic Fourier Neural Operators}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2023}, url = {https://nips.cc/virtual/2023/poster/70145}, } @inproceedings{neurips2024_derivative_72514, title = {{Derivative-enhanced Deep Operator Network}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/94851}, } @inproceedings{neurips2024_amortized_72811, title = {{Amortized Fourier Neural Operators}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/94587}, } @inproceedings{neurips2024_data_71814, title = {{Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/95483}, } @inproceedings{neurips2024_pretraining_74416, title = {{Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/93155}, } @inproceedings{aaai2024_component_5444, title = {{Component Fourier Neural Operator for Singularly Perturbed Differential Equations}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2024}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/29274}, } @inproceedings{cvpr2025_accurate_25420, title = {{Accurate Differential Operators for Hybrid Neural Fields}}, booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)}, year = {2025}, url = {https://cvpr.thecvf.com/virtual/2025/poster/33708}, } @inproceedings{iclr2024_neural_33518, title = {{Neural Spectral Methods: Self-supervised learning in the spectral domain}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2024}, url = {https://iclr.cc/virtual/2024/poster/19557}, } @inproceedings{icml2025_linearization_46085, title = {{Linearization Turns Neural Operators into Function-Valued Gaussian Processes}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2025}, url = {https://icml.cc/virtual/2025/poster/46474}, } @inproceedings{neurips2024_stochastic_71522, title = {{Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/95741}, } @inproceedings{neurips2024_alias_73304, title = {{Alias-Free Mamba Neural Operator}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/94139}, } @inproceedings{neurips2024_pace_74288, title = {{PACE: Pacing Operator Learning to Accurate Optical Field Simulation for Complicated Photonic Devices}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/93270}, } @inproceedings{neurips2025_learning_77314, title = {{Learning to Insert for Constructive Neural Vehicle Routing Solver}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2025}, url = {https://openreview.net/forum?id=SXr3Dynctm}, } @inproceedings{icml2024_reference_43782, title = {{Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/34670}, } @inproceedings{icml2024_neural_44046, title = {{Neural operators meet conjugate gradients: The FCG-NO method for efficient PDE solving}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/34406}, } @inproceedings{icml2024_beyond_44768, title = {{Beyond Regular Grids: Fourier-Based Neural Operators on Arbitrary Domains}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/33684}, } @inproceedings{iclr2025_spectral_81844, title = {{Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2025}, url = {https://iclr.cc/virtual/2025/poster/29939}, } @inproceedings{aaai2026_cross_107535, title = {{Cross-Field Interface-Aware Neural Operators for Multiphase Flow Simulation}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2026}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/39887}, }