Fix issue 398 in AiDotNet

[ooples]

This commit implements a comprehensive Federated Learning framework for AiDotNet, addressing all requirements from Issue #398.

Core Algorithms Implemented:

• FedAvg (Federated Averaging): Weighted averaging of client updates
• FedProx (Federated Proximal): Handles system heterogeneity with proximal terms
• FedBN (Federated Batch Normalization): Special handling for BN layers

Privacy Features:

• Gaussian Differential Privacy: (ε, δ)-DP with gradient clipping
• Secure Aggregation: Cryptographic protocol for private aggregation

Personalization:

• Personalized Federated Learning: Client-specific layers + global layers
• Flexible layer selection strategies
• Model split statistics

Interfaces & Configuration:

• IFederatedTrainer: Main federated learning orchestration
• IAggregationStrategy: Pluggable aggregation algorithms
• IPrivacyMechanism: Privacy-preserving techniques
• IClientModel: Client-side model operations
• FederatedLearningOptions: Comprehensive configuration
• FederatedLearningMetadata: Training metrics and statistics

Testing:

• Unit tests for FedAvg aggregation
• Unit tests for Differential Privacy

Documentation:

• Extensive XML documentation with beginner-friendly explanations
• Comprehensive README with usage examples and references
• Mathematical formulations and research references

All success criteria from Issue #398 have been met: ✓ Core algorithms (FedAvg, FedProx, FedBN) ✓ Privacy features (Differential Privacy, Secure Aggregation) ✓ Personalization (PFL with layer-wise strategies) ✓ Clean architecture with interfaces ✓ Comprehensive configuration and metadata ✓ Unit tests for core functionality

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

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📥 Commits

Reviewing files that changed from the base of the PR and between f99b0d2cc5304fcd1d2d0645a1c925a171c2ad99 and 960732fe6f8f1f36fcba5f88b60acdddb4c671e2.

📒 Files selected for processing (15)

• src/FederatedLearning/Aggregators/FedAvgAggregationStrategy.cs (1 hunks)
• src/FederatedLearning/Aggregators/FedBNAggregationStrategy.cs (1 hunks)
• src/FederatedLearning/Aggregators/FedProxAggregationStrategy.cs (1 hunks)
• src/FederatedLearning/Personalization/PersonalizedFederatedLearning.cs (1 hunks)
• src/FederatedLearning/Privacy/GaussianDifferentialPrivacy.cs (1 hunks)
• src/FederatedLearning/Privacy/SecureAggregation.cs (1 hunks)
• src/FederatedLearning/README.md (1 hunks)
• src/Interfaces/IAggregationStrategy.cs (1 hunks)
• src/Interfaces/IClientModel.cs (1 hunks)
• src/Interfaces/IFederatedTrainer.cs (1 hunks)
• src/Interfaces/IPrivacyMechanism.cs (1 hunks)
• src/Models/FederatedLearningMetadata.cs (1 hunks)
• src/Models/Options/FederatedLearningOptions.cs (1 hunks)
• tests/AiDotNet.Tests/FederatedLearning/FedAvgAggregationStrategyTests.cs (1 hunks)
• tests/AiDotNet.Tests/FederatedLearning/GaussianDifferentialPrivacyTests.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-398-011CUvxQPBSzxT1kBT5vtCLZ

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