d4ced3a7d7
* add RBF implementation in pytorch (in layers) * add POD-RBF example (baseline for nonintrusive closure) * Add POD only and POD+RBF implementation * add POD-RBF in tutorial 8
171 lines
4.9 KiB
ReStructuredText
171 lines
4.9 KiB
ReStructuredText
Code Documentation
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==================
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Welcome to PINA documentation! Here you can find the modules of the package divided in different sections.
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The high-level structure of the package is depicted in our API.
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.. figure:: ../index_files/API_color.png
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:alt: PINA application program interface
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:align: center
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:width: 400
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The pipeline to solve differential equations with PINA follows just five steps:
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1. Define the `Problem`_ the user aim to solve
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2. Generate data using built in `Geometries`_, or load high level simulation results as :doc:`LabelTensor <label_tensor>`
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3. Choose or build one or more `Models`_ to solve the problem
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4. Choose a solver across PINA available `Solvers`_, or build one using the :doc:`SolverInterface <solvers/solver_interface>`
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5. Train the model with the PINA :doc:`Trainer <solvers/solver_interface>`, enhance the train with `Callbacks_`
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PINA Features
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--------------
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.. toctree::
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:titlesonly:
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LabelTensor <label_tensor.rst>
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Condition <condition.rst>
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Trainer <trainer.rst>
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Plotter <plotter.rst>
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Solvers
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--------------
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.. toctree::
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:titlesonly:
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SolverInterface <solvers/solver_interface.rst>
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PINNInterface <solvers/basepinn.rst>
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PINN <solvers/pinn.rst>
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GPINN <solvers/gpinn.rst>
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CausalPINN <solvers/causalpinn.rst>
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CompetitivePINN <solvers/competitivepinn.rst>
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SAPINN <solvers/sapinn.rst>
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RBAPINN <solvers/rba_pinn.rst>
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Supervised solver <solvers/supervised.rst>
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ReducedOrderModelSolver <solvers/rom.rst>
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GAROM <solvers/garom.rst>
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Models
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------------
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.. toctree::
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:titlesonly:
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:maxdepth: 5
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Network <models/network.rst>
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KernelNeuralOperator <models/base_no.rst>
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FeedForward <models/fnn.rst>
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MultiFeedForward <models/multifeedforward.rst>
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ResidualFeedForward <models/fnn_residual.rst>
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DeepONet <models/deeponet.rst>
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MIONet <models/mionet.rst>
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FourierIntegralKernel <models/fourier_kernel.rst>
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FNO <models/fno.rst>
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AveragingNeuralOperator <models/avno.rst>
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LowRankNeuralOperator <models/lno.rst>
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Layers
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-------------
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.. toctree::
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:titlesonly:
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Residual layer <layers/residual.rst>
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EnhancedLinear layer <layers/enhanced_linear.rst>
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Spectral convolution <layers/spectral.rst>
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Fourier layers <layers/fourier.rst>
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Averaging layer <layers/avno_layer.rst>
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Low Rank layer <layers/lowrank_layer.rst>
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Continuous convolution <layers/convolution.rst>
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Proper Orthogonal Decomposition <layers/pod.rst>
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Periodic Boundary Condition Embedding <layers/pbc_embedding.rst>
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Fourier Feature Embedding <layers/fourier_embedding.rst>
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Radial Basis Function Interpolation <layers/rbf_layer.rst>
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Adaptive Activation Functions
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-------------------------------
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.. toctree::
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:titlesonly:
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Adaptive Function Interface <adaptive_functions/AdaptiveFunctionInterface.rst>
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Adaptive ReLU <adaptive_functions/AdaptiveReLU.rst>
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Adaptive Sigmoid <adaptive_functions/AdaptiveSigmoid.rst>
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Adaptive Tanh <adaptive_functions/AdaptiveTanh.rst>
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Adaptive SiLU <adaptive_functions/AdaptiveSiLU.rst>
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Adaptive Mish <adaptive_functions/AdaptiveMish.rst>
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Adaptive ELU <adaptive_functions/AdaptiveELU.rst>
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Adaptive CELU <adaptive_functions/AdaptiveCELU.rst>
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Adaptive GELU <adaptive_functions/AdaptiveGELU.rst>
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Adaptive Softmin <adaptive_functions/AdaptiveSoftmin.rst>
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Adaptive Softmax <adaptive_functions/AdaptiveSoftmax.rst>
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Adaptive SIREN <adaptive_functions/AdaptiveSIREN.rst>
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Adaptive Exp <adaptive_functions/AdaptiveExp.rst>
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Equations and Operators
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-------------------------
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.. toctree::
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:titlesonly:
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Equations <equations.rst>
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Differential Operators <operators.rst>
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Problem
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--------------
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.. toctree::
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:titlesonly:
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AbstractProblem <problem/abstractproblem.rst>
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SpatialProblem <problem/spatialproblem.rst>
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TimeDependentProblem <problem/timedepproblem.rst>
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ParametricProblem <problem/parametricproblem.rst>
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Geometries
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-----------------
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.. toctree::
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:titlesonly:
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Location <geometry/location.rst>
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CartesianDomain <geometry/cartesian.rst>
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EllipsoidDomain <geometry/ellipsoid.rst>
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SimplexDomain <geometry/simplex.rst>
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Geometry set operations
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------------------------
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.. toctree::
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:titlesonly:
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OperationInterface <geometry/operation_interface.rst>
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Union <geometry/union_domain.rst>
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Intersection <geometry/intersection_domain.rst>
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Difference <geometry/difference_domain.rst>
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Exclusion <geometry/exclusion_domain.rst>
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Callbacks
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--------------------
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.. toctree::
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:titlesonly:
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Metric tracking <callbacks/processing_callbacks.rst>
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Optimizer callbacks <callbacks/optimizer_callbacks.rst>
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Adaptive Refinments <callbacks/adaptive_refinment_callbacks.rst>
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Metrics and Losses
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--------------------
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.. toctree::
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:titlesonly:
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LossInterface <loss/loss_interface.rst>
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LpLoss <loss/lploss.rst>
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PowerLoss <loss/powerloss.rst>
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