├── .gitattributes ├── .github ├── CODEOWNERS ├── ISSUE_TEMPLATE │ ├── bug_report.md │ ├── feature_request.md │ └── help-wanted.md ├── PULL_REQUEST_TEMPLATE.md └── workflows │ ├── deployer.yml │ ├── master_cleaner.yml │ ├── monthly-tagger.yml │ ├── tester.yml │ └── tutorial_exporter.yml ├── .gitignore ├── .pylintrc ├── ANTITRUST.md ├── CHARTER.md ├── CITATION.cff ├── CODE_OF_CONDUCT.md ├── CONTRIBUTING.md ├── GOVERNANCE.md ├── LICENSE.rst ├── MAINTAINERS.md ├── README.md ├── SECURITY.md ├── STEERING-COMMITTEE.md ├── TRADEMARKS.md ├── code_formatter.sh ├── docs ├── Makefile ├── source │ ├── _LICENSE.rst │ ├── _cite.rst │ ├── _contributing.rst │ ├── _installation.rst │ ├── _rst │ │ ├── _code.rst │ │ ├── adaptive_function │ │ │ ├── AdaptiveActivationFunctionInterface.rst │ │ │ ├── AdaptiveCELU.rst │ │ │ ├── AdaptiveELU.rst │ │ │ ├── AdaptiveExp.rst │ │ │ ├── AdaptiveGELU.rst │ │ │ ├── AdaptiveMish.rst │ │ │ ├── AdaptiveReLU.rst │ │ │ ├── AdaptiveSIREN.rst │ │ │ ├── AdaptiveSiLU.rst │ │ │ ├── AdaptiveSigmoid.rst │ │ │ ├── AdaptiveSoftmax.rst │ │ │ ├── AdaptiveSoftmin.rst │ │ │ └── AdaptiveTanh.rst │ │ ├── callback │ │ │ ├── normalizer_data_callback.rst │ │ │ ├── optimizer_callback.rst │ │ │ ├── processing_callback.rst │ │ │ └── refinement │ │ │ │ ├── r3_refinement.rst │ │ │ │ └── refinement_interface.rst │ │ ├── condition │ │ │ ├── condition.rst │ │ │ ├── condition_interface.rst │ │ │ ├── data_condition.rst │ │ │ ├── domain_equation_condition.rst │ │ │ ├── input_equation_condition.rst │ │ │ └── input_target_condition.rst │ │ ├── data │ │ │ ├── data_module.rst │ │ │ └── dataset.rst │ │ ├── domain │ │ │ ├── cartesian.rst │ │ │ ├── difference_domain.rst │ │ │ ├── domain.rst │ │ │ ├── ellipsoid.rst │ │ │ ├── exclusion_domain.rst │ │ │ ├── intersection_domain.rst │ │ │ ├── operation_interface.rst │ │ │ ├── simplex.rst │ │ │ └── union_domain.rst │ │ ├── equation │ │ │ ├── equation.rst │ │ │ ├── equation_factory.rst │ │ │ ├── equation_interface.rst │ │ │ └── system_equation.rst │ │ ├── graph │ │ │ ├── graph.rst │ │ │ ├── graph_builder.rst │ │ │ ├── knn_graph.rst │ │ │ ├── label_batch.rst │ │ │ └── radius_graph.rst │ │ ├── label_tensor.rst │ │ ├── loss │ │ │ ├── linear_weighting.rst │ │ │ ├── loss_interface.rst │ │ │ ├── lploss.rst │ │ │ ├── ntk_weighting.rst │ │ │ ├── powerloss.rst │ │ │ ├── scalar_weighting.rst │ │ │ ├── self_adaptive_weighting.rst │ │ │ └── weighting_interface.rst │ │ ├── model │ │ │ ├── average_neural_operator.rst │ │ │ ├── block │ │ │ │ ├── average_neural_operator_block.rst │ │ │ │ ├── convolution.rst │ │ │ │ ├── convolution_interface.rst │ │ │ │ ├── enhanced_linear.rst │ │ │ │ ├── fourier_block.rst │ │ │ │ ├── fourier_embedding.rst │ │ │ │ ├── gno_block.rst │ │ │ │ ├── low_rank_block.rst │ │ │ │ ├── message_passing │ │ │ │ │ ├── deep_tensor_network_block.rst │ │ │ │ │ ├── en_equivariant_network_block.rst │ │ │ │ │ ├── equivariant_graph_neural_operator_block.rst │ │ │ │ │ ├── interaction_network_block.rst │ │ │ │ │ └── radial_field_network_block.rst │ │ │ │ ├── orthogonal.rst │ │ │ │ ├── pbc_embedding.rst │ │ │ │ ├── pirate_network_block.rst │ │ │ │ ├── pod_block.rst │ │ │ │ ├── rbf_block.rst │ │ │ │ ├── residual.rst │ │ │ │ └── spectral.rst │ │ │ ├── deeponet.rst │ │ │ ├── equivariant_graph_neural_operator.rst │ │ │ ├── feed_forward.rst │ │ │ ├── fourier_integral_kernel.rst │ │ │ ├── fourier_neural_operator.rst │ │ │ ├── graph_neural_operator.rst │ │ │ ├── graph_neural_operator_integral_kernel.rst │ │ │ ├── kernel_neural_operator.rst │ │ │ ├── low_rank_neural_operator.rst │ │ │ ├── mionet.rst │ │ │ ├── multi_feed_forward.rst │ │ │ ├── pirate_network.rst │ │ │ ├── residual_feed_forward.rst │ │ │ ├── sindy.rst │ │ │ ├── spline.rst │ │ │ └── spline_surface.rst │ │ ├── operator.rst │ │ ├── optim │ │ │ ├── optimizer_interface.rst │ │ │ ├── scheduler_interface.rst │ │ │ ├── torch_optimizer.rst │ │ │ └── torch_scheduler.rst │ │ ├── problem │ │ │ ├── abstract_problem.rst │ │ │ ├── inverse_problem.rst │ │ │ ├── parametric_problem.rst │ │ │ ├── spatial_problem.rst │ │ │ ├── time_dependent_problem.rst │ │ │ └── zoo │ │ │ │ ├── advection.rst │ │ │ │ ├── allen_cahn.rst │ │ │ │ ├── diffusion_reaction.rst │ │ │ │ ├── helmholtz.rst │ │ │ │ ├── inverse_poisson_2d_square.rst │ │ │ │ ├── poisson_2d_square.rst │ │ │ │ └── supervised_problem.rst │ │ ├── solver │ │ │ ├── ensemble_solver │ │ │ │ ├── ensemble_pinn.rst │ │ │ │ ├── ensemble_solver_interface.rst │ │ │ │ └── ensemble_supervised.rst │ │ │ ├── garom.rst │ │ │ ├── multi_solver_interface.rst │ │ │ ├── physics_informed_solver │ │ │ │ ├── causal_pinn.rst │ │ │ │ ├── competitive_pinn.rst │ │ │ │ ├── gradient_pinn.rst │ │ │ │ ├── pinn.rst │ │ │ │ ├── pinn_interface.rst │ │ │ │ ├── rba_pinn.rst │ │ │ │ └── self_adaptive_pinn.rst │ │ │ ├── single_solver_interface.rst │ │ │ ├── solver_interface.rst │ │ │ └── supervised_solver │ │ │ │ ├── reduced_order_model.rst │ │ │ │ ├── supervised.rst │ │ │ │ └── supervised_solver_interface.rst │ │ └── trainer.rst │ ├── _team.rst │ ├── _templates │ │ └── layout.html │ ├── _tutorial.rst │ ├── conf.py │ ├── index.rst │ ├── index_files │ │ ├── PINA_API.png │ │ ├── PINA_logo.png │ │ ├── fast_mathlab.png │ │ ├── foudings.png │ │ ├── output_21_0.png │ │ ├── output_8_0.png │ │ ├── tutorial_13_01.png │ │ ├── tutorial_13_3.png │ │ ├── tutorial_15_0.png │ │ ├── tutorial_32_0.png │ │ ├── tutorial_36_0.png │ │ ├── tutorial_5_0.png │ │ └── university_dev_pina.png │ └── tutorials │ │ ├── tutorial1 │ │ └── tutorial.html │ │ ├── tutorial10 │ │ └── tutorial.html │ │ ├── tutorial11 │ │ └── tutorial.html │ │ ├── tutorial12 │ │ └── tutorial.html │ │ ├── tutorial13 │ │ └── tutorial.html │ │ ├── tutorial14 │ │ └── tutorial.html │ │ ├── tutorial15 │ │ └── tutorial.html │ │ ├── tutorial16 │ │ └── tutorial.html │ │ ├── tutorial17 │ │ └── tutorial.html │ │ ├── tutorial18 │ │ └── tutorial.html │ │ ├── tutorial19 │ │ └── tutorial.html │ │ ├── tutorial2 │ │ └── tutorial.html │ │ ├── tutorial20 │ │ └── tutorial.html │ │ ├── tutorial21 │ │ └── tutorial.html │ │ ├── tutorial22 │ │ └── tutorial.html │ │ ├── tutorial23 │ │ └── tutorial.html │ │ ├── tutorial3 │ │ └── tutorial.html │ │ ├── tutorial4 │ │ └── tutorial.html │ │ ├── tutorial5 │ │ └── tutorial.html │ │ ├── tutorial6 │ │ └── tutorial.html │ │ ├── tutorial7 │ │ └── tutorial.html │ │ ├── tutorial8 │ │ └── tutorial.html │ │ └── tutorial9 │ │ └── tutorial.html └── sphinx_extensions │ └── paramref_extension.py ├── joss ├── paper.bib ├── paper.md ├── pina_logo.png ├── pinn_base.pdf ├── pinn_feat.pdf └── pinn_learn.pdf ├── pina ├── __init__.py ├── adaptive_function │ ├── __init__.py │ ├── adaptive_function.py │ └── adaptive_function_interface.py ├── callback │ ├── __init__.py │ ├── normalizer_data_callback.py │ ├── optimizer_callback.py │ ├── processing_callback.py │ └── refinement │ │ ├── __init__.py │ │ ├── r3_refinement.py │ │ └── refinement_interface.py ├── condition │ ├── __init__.py │ ├── condition.py │ ├── condition_interface.py │ ├── data_condition.py │ ├── domain_equation_condition.py │ ├── input_equation_condition.py │ └── input_target_condition.py ├── data │ ├── __init__.py │ ├── data_module.py │ └── dataset.py ├── domain │ ├── __init__.py │ ├── cartesian.py │ ├── difference_domain.py │ ├── domain_interface.py │ ├── ellipsoid.py │ ├── exclusion_domain.py │ ├── intersection_domain.py │ ├── operation_interface.py │ ├── simplex.py │ └── union_domain.py ├── equation │ ├── __init__.py │ ├── equation.py │ ├── equation_factory.py │ ├── equation_interface.py │ └── system_equation.py ├── graph.py ├── label_tensor.py ├── loss │ ├── __init__.py │ ├── linear_weighting.py │ ├── loss_interface.py │ ├── lp_loss.py │ ├── ntk_weighting.py │ ├── power_loss.py │ ├── scalar_weighting.py │ ├── self_adaptive_weighting.py │ └── weighting_interface.py ├── model │ ├── __init__.py │ ├── average_neural_operator.py │ ├── block │ │ ├── __init__.py │ │ ├── average_neural_operator_block.py │ │ ├── convolution.py │ │ ├── convolution_2d.py │ │ ├── embedding.py │ │ ├── fourier_block.py │ │ ├── gno_block.py │ │ ├── integral.py │ │ ├── low_rank_block.py │ │ ├── message_passing │ │ │ ├── __init__.py │ │ │ ├── deep_tensor_network_block.py │ │ │ ├── en_equivariant_network_block.py │ │ │ ├── equivariant_graph_neural_operator_block.py │ │ │ ├── interaction_network_block.py │ │ │ └── radial_field_network_block.py │ │ ├── orthogonal.py │ │ ├── pirate_network_block.py │ │ ├── pod_block.py │ │ ├── rbf_block.py │ │ ├── residual.py │ │ ├── spectral.py │ │ ├── stride.py │ │ └── utils_convolution.py │ ├── deeponet.py │ ├── equivariant_graph_neural_operator.py │ ├── feed_forward.py │ ├── fourier_neural_operator.py │ ├── graph_neural_operator.py │ ├── kernel_neural_operator.py │ ├── low_rank_neural_operator.py │ ├── multi_feed_forward.py │ ├── pirate_network.py │ ├── sindy.py │ ├── spline.py │ └── spline_surface.py ├── operator.py ├── optim │ ├── __init__.py │ ├── optimizer_interface.py │ ├── scheduler_interface.py │ ├── torch_optimizer.py │ └── torch_scheduler.py ├── problem │ ├── __init__.py │ ├── abstract_problem.py │ ├── inverse_problem.py │ ├── parametric_problem.py │ ├── spatial_problem.py │ ├── time_dependent_problem.py │ └── zoo │ │ ├── __init__.py │ │ ├── advection.py │ │ ├── allen_cahn.py │ │ ├── diffusion_reaction.py │ │ ├── helmholtz.py │ │ ├── inverse_poisson_2d_square.py │ │ ├── poisson_2d_square.py │ │ └── supervised_problem.py ├── solver │ ├── __init__.py │ ├── ensemble_solver │ │ ├── __init__.py │ │ ├── ensemble_pinn.py │ │ ├── ensemble_solver_interface.py │ │ └── ensemble_supervised.py │ ├── garom.py │ ├── physics_informed_solver │ │ ├── __init__.py │ │ ├── causal_pinn.py │ │ ├── competitive_pinn.py │ │ ├── gradient_pinn.py │ │ ├── pinn.py │ │ ├── pinn_interface.py │ │ ├── rba_pinn.py │ │ └── self_adaptive_pinn.py │ ├── solver.py │ └── supervised_solver │ │ ├── __init__.py │ │ ├── reduced_order_model.py │ │ ├── supervised.py │ │ └── supervised_solver_interface.py ├── trainer.py ├── type_checker.py └── utils.py ├── pyproject.toml ├── readme ├── PINA_API.png └── pina_logo.png ├── tests ├── test_adaptive_function.py ├── test_block │ ├── test_convolution.py │ ├── test_embedding.py │ ├── test_fourier.py │ ├── test_low_rank_block.py │ ├── test_orthogonal.py │ ├── test_pirate_network_block.py │ ├── test_pod.py │ ├── test_rbf.py │ ├── test_residual.py │ └── test_spectral_convolution.py ├── test_callback │ ├── test_adaptive_refinement_callback.py │ ├── test_metric_tracker.py │ ├── test_normalizer_data_callback.py │ ├── test_optimizer_callback.py │ └── test_progress_bar.py ├── test_condition.py ├── test_data │ ├── test_data_module.py │ ├── test_graph_dataset.py │ └── test_tensor_dataset.py ├── test_domain │ ├── test_cartesian.py │ ├── test_difference.py │ ├── test_ellipsoid.py │ ├── test_exclusion.py │ ├── test_intersection.py │ ├── test_simplex.py │ └── test_union.py ├── test_equation │ ├── test_equation.py │ ├── test_equation_factory.py │ └── test_system_equation.py ├── test_graph.py ├── test_label_tensor │ ├── test_label_tensor.py │ └── test_label_tensor_01.py ├── test_loss │ ├── test_lp_loss.py │ └── test_power_loss.py ├── test_messagepassing │ ├── test_deep_tensor_network_block.py │ ├── test_equivariant_network_block.py │ ├── test_equivariant_operator_block.py │ ├── test_interaction_network_block.py │ └── test_radial_field_network_block.py ├── test_model │ ├── test_average_neural_operator.py │ ├── test_deeponet.py │ ├── test_equivariant_graph_neural_operator.py │ ├── test_feed_forward.py │ ├── test_fourier_neural_operator.py │ ├── test_graph_neural_operator.py │ ├── test_kernel_neural_operator.py │ ├── test_low_rank_neural_operator.py │ ├── test_mionet.py │ ├── test_pirate_network.py │ ├── test_residual_feed_forward.py │ ├── test_sindy.py │ ├── test_spline.py │ └── test_spline_surface.py ├── test_operator.py ├── test_optimizer.py ├── test_package.py ├── test_problem.py ├── test_problem_zoo │ ├── test_advection.py │ ├── test_allen_cahn.py │ ├── test_diffusion_reaction.py │ ├── test_helmholtz.py │ ├── test_inverse_poisson_2d_square.py │ ├── test_poisson_2d_square.py │ └── test_supervised_problem.py ├── test_scheduler.py ├── test_solver │ ├── test_causal_pinn.py │ ├── test_competitive_pinn.py │ ├── test_ensemble_pinn.py │ ├── test_ensemble_supervised_solver.py │ ├── test_garom.py │ ├── test_gradient_pinn.py │ ├── test_pinn.py │ ├── test_rba_pinn.py │ ├── test_reduced_order_model_solver.py │ ├── test_self_adaptive_pinn.py │ └── test_supervised_solver.py ├── test_type_checker.py ├── test_utils.py └── test_weighting │ ├── test_linear_weighting.py │ ├── test_ntk_weighting.py │ ├── test_scalar_weighting.py │ └── test_self_adaptive_weighting.py ├── tutorials ├── README.md ├── TUTORIAL_GUIDELINES.md ├── static │ ├── API_color.png │ ├── deep_ensemble.png │ ├── gca_off_on_3_pina.png │ ├── logging.png │ ├── neural_operator.png │ ├── pina_logo.png │ └── pina_workflow.png ├── tutorial1 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial10 │ ├── data │ │ ├── Data_KS.mat │ │ └── Data_KS2.mat │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial11 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial12 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial13 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial14 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial15 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial16 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial17 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial18 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial19 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial2 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial20 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial21 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial22 │ ├── holed_poisson.pt │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial23 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial3 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial4 │ ├── tutorial.ipynb │ └── tutorial.py ├── tutorial5 │ ├── 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