Fix Issue 400

Open ooples opened this issue 2 months ago • 1 comments

This commit implements comprehensive physics-informed machine learning capabilities for solving PDEs and learning operators between function spaces.

Physics-Informed Neural Networks (PINNs):

Core PINN implementation for solving PDEs
Deep Ritz Method for variational problems
Variational PINNs (weak formulation)
PDE specification interfaces (IPDESpecification, IBoundaryCondition, IInitialCondition)
Standard PDE implementations (Heat, Burgers, Poisson, Wave equations)
Physics-informed loss function combining data, PDE, BC, and IC losses
Automatic differentiation helper for computing derivatives

Neural Operators:

Fourier Neural Operator (FNO) for learning operators on regular grids
DeepONet (Deep Operator Network) for operator learning with branch-trunk architecture
Graph Neural Operators for irregular, graph-structured domains

Scientific Machine Learning:

Hamiltonian Neural Networks for conservative systems
Lagrangian Neural Networks for mechanical systems
Universal Differential Equations (ODEs with neural network components)
Symbolic Physics Learner for discovering interpretable equations

Key Features:

Comprehensive educational documentation with "For Beginners" sections
Generic type support (T) for numerical flexibility
Follows existing AiDotNet patterns and conventions
Integration with existing neural network infrastructure
Support for various boundary and initial conditions
Collocation point sampling for PDE enforcement
Energy-conserving architectures for physical systems

Directory Structure:

src/PhysicsInformed/Interfaces/ - PDE and boundary condition interfaces
src/PhysicsInformed/PDEs/ - Standard PDE implementations
src/PhysicsInformed/PINNs/ - PINN variants
src/PhysicsInformed/NeuralOperators/ - FNO, DeepONet, Graph operators
src/PhysicsInformed/ScientificML/ - HNN, LNN, UDE, Symbolic learner

Fixes #400

User Story / Context

Reference: [US-XXX] (if applicable)
Base branch: merge-dev2-to-master

Summary

What changed and why (scoped strictly to the user story / PR intent)

Verification

[ ] Builds succeed (scoped to changed projects)
[ ] Unit tests pass locally
[ ] Code coverage >= 90% for touched code
[ ] Codecov upload succeeded (if token configured)
[ ] TFM verification (net46, net6.0, net8.0) passes (if packaging)
[ ] No unresolved Copilot comments on HEAD

Copilot Review Loop (Outcome-Based)

Record counts before/after your last push:

Comments on HEAD BEFORE: [N]
Comments on HEAD AFTER (60s): [M]
Final HEAD SHA: [sha]

Files Modified

[ ] List files changed (must align with scope)

Notes

Any follow-ups, caveats, or migration details

Nov 08 '25 20:11 ooples

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📥 Commits

Reviewing files that changed from the base of the PR and between f99b0d2cc5304fcd1d2d0645a1c925a171c2ad99 and 7a17024433a55a3730f53e1bc58a0ab0a66918a0.

📒 Files selected for processing (17)

src/PhysicsInformed/AutomaticDifferentiation.cs (1 hunks)

src/PhysicsInformed/Interfaces/IPDESpecification.cs (1 hunks)

src/PhysicsInformed/NeuralOperators/DeepOperatorNetwork.cs (1 hunks)

src/PhysicsInformed/NeuralOperators/FourierNeuralOperator.cs (1 hunks)

src/PhysicsInformed/NeuralOperators/GraphNeuralOperator.cs (1 hunks)

src/PhysicsInformed/PDEs/BurgersEquation.cs (1 hunks)

src/PhysicsInformed/PDEs/HeatEquation.cs (1 hunks)

src/PhysicsInformed/PDEs/PoissonEquation.cs (1 hunks)

src/PhysicsInformed/PDEs/WaveEquation.cs (1 hunks)

src/PhysicsInformed/PINNs/DeepRitzMethod.cs (1 hunks)

src/PhysicsInformed/PINNs/PhysicsInformedNeuralNetwork.cs (1 hunks)

src/PhysicsInformed/PINNs/VariationalPINN.cs (1 hunks)

src/PhysicsInformed/PhysicsInformedLoss.cs (1 hunks)

src/PhysicsInformed/ScientificML/HamiltonianNeuralNetwork.cs (1 hunks)

src/PhysicsInformed/ScientificML/LagrangianNeuralNetwork.cs (1 hunks)

src/PhysicsInformed/ScientificML/SymbolicPhysicsLearner.cs (1 hunks)

src/PhysicsInformed/ScientificML/UniversalDifferentialEquations.cs (1 hunks)

✨ Finishing touches

[ ] 📝 Generate docstrings

🧪 Generate unit tests (beta)

[ ] Create PR with unit tests
[ ] Post copyable unit tests in a comment
[ ] Commit unit tests in branch claude/fix-issue-400-011CUw2ARApkikgUeGwqDRyo

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