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Fix critical compilation errors and integrate Modified GD optimizer
This commit resolves CS0115/CS0534 errors and integrates ModifiedGradientDescentOptimizer as specified in the Nested Learning research paper. ## Compilation Fixes (HopeNetwork.cs) 1. **Forward/Backward Methods**: - Changed from `override` to public methods (matching FeedForwardNeuralNetwork pattern) - Forward and Backward are NOT virtual in NeuralNetworkBase - These are regular public methods that iterate through layers - Predict calls Forward; Train calls Forward and Backward 2. **Implemented Missing Abstract Methods**: - SerializeNetworkSpecificData(BinaryWriter): Persists Hope-specific state - DeserializeNetworkSpecificData(BinaryReader): Restores Hope-specific state - CreateNewInstance(): Creates new HopeNetwork with same architecture ## Modified GD Integration (ContinuumMemorySystemLayer.cs) **Research Paper (line 461)**: "we use this optimizer as the internal optimizer of our HOPE architecture" 1. **Added Input Storage**: - New field: `_storedInputs` array to store input to each MLP block - Forward pass now stores inputs before processing each level 2. **Integrated Modified GD in UpdateLevelParameters**: - Uses ModifiedGradientDescentOptimizer when input data available - Implements Equations 27-29: Wt+1 = Wt * (I - xt*xt^T) - η * ∇ytL ⊗ xt - Falls back to standard GD if no input stored 3. **Architecture Changes**: - Added `using AiDotNet.NestedLearning` for ModifiedGD - Modified GD requires: parameters, input data, gradients - Now properly integrated at CMS layer level ## Documentation - Created MODIFIED_GD_INTEGRATION_PLAN.md with: - Current status and problem analysis - Why Modified GD wasn't integrated before - Implementation approach and rationale - Future performance comparison notes ## Impact - ✅ Code now compiles (CS0115/CS0534 resolved) - ✅ ModifiedGradientDescentOptimizer actually used (paper-compliant) - ✅ Serialization/deserialization works - ✅ Proper OOP: follows same pattern as other neural networks - ✅ Multi-timescale optimization with Modified GD at CMS level ## Testing Notes - CMS layer stores inputs during forward pass (minimal memory overhead) - Modified GD applied when chunk size reached - Each CMS level uses its own stored input for parameter updates - Backward compatibility: falls back to standard GD if no input stored Resolves: CS0115 (Forward/Backward not virtual) Resolves: CS0534 (Missing abstract methods) Resolves: ModifiedGradientDescentOptimizer never used
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MODIFIED_GD_INTEGRATION_PLAN.md

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# Modified Gradient Descent Integration Plan
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## Current Status
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### What's Implemented
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-`ModifiedGradientDescentOptimizer.cs` - Implements Equations 27-29 from paper
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- ✅ Correct mathematical formulation: `Wt+1 = Wt * (I - xt*xt^T) - η * ∇ytL(Wt; xt) ⊗ xt`
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- ✅ Both matrix and vector update methods
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- ✅ Unit tests validating the optimizer
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### The Problem
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**Modified GD is NOT actually used anywhere in the code.**
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From the research paper (line 461): *"we use this optimizer as the internal optimizer of our HOPE architecture"*
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Current implementation:
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- HopeNetwork uses standard gradient descent (hardcoded 0.001 learning rate)
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- CMS layer uses standard gradient descent in `UpdateLevelParameters`
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- The `optimizer` parameter in HopeNetwork constructor is never used
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## Why It's Not Integrated
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Modified GD requires **three** pieces of information:
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1. Current parameters (Wt)
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2. **Input data (xt)** ← This is the problem
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3. Output gradients (∇ytL)
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Current architecture:
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- Backward pass only propagates gradients
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- Input data is NOT passed through backward pass
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- Layers only expose `UpdateParameters(learningRate)` interface
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- No access to original input data during parameter updates
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## Solution: Store Input Data During Forward Pass
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### Changes Needed in ContinuumMemorySystemLayer.cs
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1. **Add field to store inputs:**
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```csharp
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private readonly Tensor<T>[] _storedInputs; // Store input for each MLP block
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```
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2. **Store inputs during Forward:**
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```csharp
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public override Tensor<T> Forward(Tensor<T> input)
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{
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var current = input;
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for (int level = 0; level < _mlpBlocks.Length; level++)
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{
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_storedInputs[level] = current.Clone(); // Store input before processing
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current = _mlpBlocks[level].Forward(current);
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}
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return current;
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}
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```
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3. **Use ModifiedGD in UpdateLevelParameters:**
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```csharp
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private void UpdateLevelParameters(int level)
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{
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if (_storedInputs[level] == null)
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{
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// Fallback to standard GD if no input stored
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// (standard GD code here)
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return;
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}
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var modifiedGD = new ModifiedGradientDescentOptimizer<T>(_learningRates[level]);
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var inputVec = _storedInputs[level].ToVector();
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var outputGradVec = _accumulatedGradients[level];
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var currentParams = _mlpBlocks[level].Parameters;
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var updatedParams = modifiedGD.UpdateVector(currentParams, inputVec, outputGradVec);
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_mlpBlocks[level].SetParameters(updatedParams);
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}
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```
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## Alternative: Integrate at Hope Network Level
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Instead of CMS layer, integrate at HopeNetwork.Train method:
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```csharp
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public override void Train(Tensor<T> input, Tensor<T> expectedOutput)
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{
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// Store input
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var storedInput = input.Clone();
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// Forward pass
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var prediction = Forward(input);
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// Compute loss and gradients
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var lossGradient = LossFunction.ComputeGradient(prediction, expectedOutput);
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// Backward pass
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Backward(lossGradient);
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// Use Modified GD for CMS blocks
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foreach (var cmsBlock in _cmsBlocks)
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{
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var modifiedGD = new ModifiedGradientDescentOptimizer<T>(_numOps.FromDouble(0.001));
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// Apply modified GD updates...
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}
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// Standard updates for other layers
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foreach (var recurrentLayer in _recurrentLayers)
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{
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recurrentLayer.UpdateParameters(_numOps.FromDouble(0.001));
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}
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}
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```
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## Recommendation
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**Implement at CMS layer level** because:
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1. Paper specifically describes Modified GD for memory update equations (Eq 27-29)
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2. CMS is where multi-timescale updates happen
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3. More modular and contained
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4. Each CMS block can use its stored input
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5. Aligns with paper's description of "internal optimizer"
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## Impact
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- **Performance**: Modified GD adds computational overhead (matrix operations)
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- **Memory**: Need to store input tensors for each CMS block
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- **Correctness**: Matches paper specification exactly
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- **Architecture**: Clean separation of concerns
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## Next Steps
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1. Add `_storedInputs` field to CMS layer
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2. Store inputs during Forward pass
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3. Integrate ModifiedGD in UpdateLevelParameters
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4. Add tests to verify Modified GD is being used
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5. Compare training performance: Standard GD vs Modified GD
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6. Update documentation
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## References
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- Equations 27-29: Modified Gradient Descent formulation
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- Equation 30: CMS sequential chain
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- Equation 31: CMS update rule with chunk sizes
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- Paper line 461: "we use this optimizer as the internal optimizer of our HOPE architecture"

src/NestedLearning/HopeNetwork.cs

Lines changed: 109 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -90,7 +90,11 @@ protected override void InitializeLayers()
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_metaState = new Vector<T>(_hiddenDim);
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}
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public override Tensor<T> Forward(Tensor<T> input)
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/// <summary>
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/// Performs a forward pass through the Hope architecture.
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/// Processes input through CMS blocks, context flow, and recurrent layers.
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/// </summary>
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public Tensor<T> Forward(Tensor<T> input)
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{
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var current = input;
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return current;
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}
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public override Tensor<T> Backward(Tensor<T> outputGradient)
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/// <summary>
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/// Performs a backward pass through the Hope architecture.
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/// Propagates gradients through recurrent layers, context flow, and CMS blocks.
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/// </summary>
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public Tensor<T> Backward(Tensor<T> outputGradient)
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{
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var gradient = outputGradient;
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ResetMemory();
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ResetRecurrentState();
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}
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/// <summary>
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/// Serializes Hope-specific data for model persistence.
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/// </summary>
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protected override void SerializeNetworkSpecificData(BinaryWriter writer)
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{
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if (writer == null)
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throw new ArgumentNullException(nameof(writer));
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// Write Hope-specific architecture parameters
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writer.Write(_hiddenDim);
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writer.Write(_numCMSLevels);
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writer.Write(_numRecurrentLayers);
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writer.Write(_inContextLearningLevels);
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writer.Write(_adaptationStep);
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writer.Write(Convert.ToDouble(_selfModificationRate));
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// Write meta-state
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if (_metaState != null)
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{
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writer.Write(true); // Has meta-state
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writer.Write(_metaState.Length);
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for (int i = 0; i < _metaState.Length; i++)
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{
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writer.Write(Convert.ToDouble(_metaState[i]));
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}
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}
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else
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{
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writer.Write(false); // No meta-state
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}
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// Context flow and associative memory will be reinitialized on load
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// Their state is ephemeral and doesn't need persistence
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}
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/// <summary>
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/// Deserializes Hope-specific data for model restoration.
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/// </summary>
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protected override void DeserializeNetworkSpecificData(BinaryReader reader)
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{
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if (reader == null)
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throw new ArgumentNullException(nameof(reader));
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// Read Hope-specific architecture parameters
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// Note: These were already set in constructor, but we verify they match
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int loadedHiddenDim = reader.ReadInt32();
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int loadedNumCMSLevels = reader.ReadInt32();
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int loadedNumRecurrentLayers = reader.ReadInt32();
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int loadedInContextLearningLevels = reader.ReadInt32();
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_adaptationStep = reader.ReadInt32();
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_selfModificationRate = _numOps.FromDouble(reader.ReadDouble());
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// Read meta-state
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bool hasMetaState = reader.ReadBoolean();
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if (hasMetaState)
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{
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int metaStateLength = reader.ReadInt32();
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_metaState = new Vector<T>(metaStateLength);
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for (int i = 0; i < metaStateLength; i++)
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{
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_metaState[i] = _numOps.FromDouble(reader.ReadDouble());
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}
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}
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else
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{
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_metaState = new Vector<T>(_hiddenDim);
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}
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// Verify architecture matches
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if (loadedHiddenDim != _hiddenDim ||
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loadedNumCMSLevels != _numCMSLevels ||
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loadedNumRecurrentLayers != _numRecurrentLayers ||
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loadedInContextLearningLevels != _inContextLearningLevels)
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{
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throw new InvalidOperationException(
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$"Model architecture mismatch. Expected ({_hiddenDim}, {_numCMSLevels}, " +
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$"{_numRecurrentLayers}, {_inContextLearningLevels}) but loaded " +
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$"({loadedHiddenDim}, {loadedNumCMSLevels}, {loadedNumRecurrentLayers}, {loadedInContextLearningLevels})");
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}
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}
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/// <summary>
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/// Creates a new instance of HopeNetwork with the same architecture.
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/// </summary>
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protected override IFullModel<T, Tensor<T>, Tensor<T>> CreateNewInstance()
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{
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// Create new Hope network with same architecture
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var newHope = new HopeNetwork<T>(
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architecture: Architecture,
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optimizer: null, // Will be set separately if needed
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lossFunction: LossFunction,
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hiddenDim: _hiddenDim,
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numCMSLevels: _numCMSLevels,
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numRecurrentLayers: _numRecurrentLayers,
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inContextLearningLevels: _inContextLearningLevels);
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return newHope;
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}
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}

src/NeuralNetworks/Layers/ContinuumMemorySystemLayer.cs

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using AiDotNet.Helpers;
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using AiDotNet.Interfaces;
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using AiDotNet.LinearAlgebra;
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using AiDotNet.NestedLearning;
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namespace AiDotNet.NeuralNetworks.Layers;
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private readonly T[] _learningRates;
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private readonly Vector<T>[] _accumulatedGradients;
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private readonly int[] _stepCounters;
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private readonly Vector<T>[] _storedInputs; // Store input to each MLP block for Modified GD
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private int _globalStep;
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private static readonly INumericOperations<T> _numOps = MathHelper.GetNumericOperations<T>();
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_stepCounters[i] = 0;
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}
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// Initialize stored inputs for Modified GD
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_storedInputs = new Vector<T>[numFrequencyLevels];
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_globalStep = 0;
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Parameters = new Vector<T>(0); // CMS manages its own MLP parameters
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}
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if (_mlpBlocks[level] == null)
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throw new InvalidOperationException($"MLP block at level {level} is null");
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// Store input for Modified GD optimizer
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_storedInputs[level] = current.ToVector();
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current = _mlpBlocks[level].Forward(current);
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166174
if (current == null)
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$"Parameter count mismatch at level {level}: params={currentParams.Length}, gradients={_accumulatedGradients[level].Length}");
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}
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var updated = new Vector<T>(currentParams.Length);
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T learningRate = _learningRates[level];
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246-
for (int i = 0; i < currentParams.Length; i++)
253+
// Use Modified Gradient Descent if input data is available (Equations 27-29)
254+
if (_storedInputs[level] != null)
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{
248-
// θ^(fℓ)_{i+1} = θ^(fℓ)_i - η^(ℓ) * Σ gradients
249-
T update = _numOps.Multiply(_accumulatedGradients[level][i], learningRate);
250-
updated[i] = _numOps.Subtract(currentParams[i], update);
256+
var modifiedGD = new ModifiedGradientDescentOptimizer<T>(learningRate);
257+
var inputVec = _storedInputs[level];
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var outputGradVec = _accumulatedGradients[level];
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260+
// Apply modified GD: Wt+1 = Wt * (I - xt*xt^T) - η * ∇ytL(Wt; xt) ⊗ xt
261+
var updated = modifiedGD.UpdateVector(currentParams, inputVec, outputGradVec);
262+
_mlpBlocks[level].SetParameters(updated);
251263
}
264+
else
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{
266+
// Fallback to standard gradient descent
267+
var updated = new Vector<T>(currentParams.Length);
252268

253-
_mlpBlocks[level].SetParameters(updated);
269+
for (int i = 0; i < currentParams.Length; i++)
270+
{
271+
// θ^(fℓ)_{i+1} = θ^(fℓ)_i - η^(ℓ) * Σ gradients
272+
T update = _numOps.Multiply(_accumulatedGradients[level][i], learningRate);
273+
updated[i] = _numOps.Subtract(currentParams[i], update);
274+
}
275+
276+
_mlpBlocks[level].SetParameters(updated);
277+
}
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}
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/// <summary>

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