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| 1 |
+
# FDRA Transformer Integration Package
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| 2 |
+
|
| 3 |
+
**Version:** 1.0
|
| 4 |
+
**Date:** 2026-01-22
|
| 5 |
+
**Authors:** Fractal AGI Team
|
| 6 |
+
|
| 7 |
+
---
|
| 8 |
+
|
| 9 |
+
## Overview
|
| 10 |
+
|
| 11 |
+
This package provides a complete solution for integrating FDRA oscillator memory into transformer architectures to solve the long-context forgetting problem.
|
| 12 |
+
|
| 13 |
+
### Problem Solved
|
| 14 |
+
|
| 15 |
+
- **Original Issue:** FDRA models experience τ collapse during training, causing failure on long-context tasks despite good short-context performance.
|
| 16 |
+
- **Solution:** Four integrated fixes that achieve **100% accuracy through K=4096** (full context) with structured interference.
|
| 17 |
+
|
| 18 |
+
---
|
| 19 |
+
|
| 20 |
+
## Files Included
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| 21 |
+
|
| 22 |
+
| File | Description |
|
| 23 |
+
|------|-------------|
|
| 24 |
+
| `fdra_production.py` | NumPy production module (validated) |
|
| 25 |
+
| `fdra_transformer_integration.py` | **PyTorch integration** for transformers |
|
| 26 |
+
| `fdra_oscillators.py` | Core oscillator bank implementation |
|
| 27 |
+
| `half_life_regularizer.py` | Regularization loss module |
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| 28 |
+
| `COMPLETE_SOLUTION.md` | Implementation guide |
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| 29 |
+
| `INTEGRATION_README.md` | This file |
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| 30 |
+
|
| 31 |
+
---
|
| 32 |
+
|
| 33 |
+
## Quick Start
|
| 34 |
+
|
| 35 |
+
### 1. Add FDRA to Your Transformer
|
| 36 |
+
|
| 37 |
+
```python
|
| 38 |
+
from fdra_transformer_integration import FDRAConfig, FDRATransformerBlock, HalfLifeRegularizerLoss
|
| 39 |
+
|
| 40 |
+
# Configure FDRA
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| 41 |
+
config = FDRAConfig(
|
| 42 |
+
num_oscillators=64,
|
| 43 |
+
d_model=512, # Match your transformer
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| 44 |
+
sequence_length=4096,
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| 45 |
+
tau_max_multiplier=4.0, # FIX 1: Extended τ
|
| 46 |
+
routing_mode="tau_weighted", # FIX 2: τ-weighted routing
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| 47 |
+
use_redundant_encoding=True, # FIX 4: Redundant encoding
|
| 48 |
+
)
|
| 49 |
+
|
| 50 |
+
# Replace transformer blocks
|
| 51 |
+
block = FDRATransformerBlock(
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| 52 |
+
d_model=512,
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| 53 |
+
n_heads=8,
|
| 54 |
+
d_ff=2048,
|
| 55 |
+
fdra_config=config
|
| 56 |
+
)
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| 57 |
+
```
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| 58 |
+
|
| 59 |
+
### 2. Add Regularizer to Training
|
| 60 |
+
|
| 61 |
+
```python
|
| 62 |
+
regularizer = HalfLifeRegularizerLoss(config)
|
| 63 |
+
|
| 64 |
+
# In training loop:
|
| 65 |
+
for batch in dataloader:
|
| 66 |
+
output = model(batch.input)
|
| 67 |
+
|
| 68 |
+
task_loss = criterion(output, batch.target)
|
| 69 |
+
|
| 70 |
+
# Add FDRA regularization (FIX 3: Half-life incentives)
|
| 71 |
+
reg_loss, metrics = regularizer(model.block.attn.fdra)
|
| 72 |
+
|
| 73 |
+
total_loss = task_loss + reg_loss
|
| 74 |
+
total_loss.backward()
|
| 75 |
+
optimizer.step()
|
| 76 |
+
```
|
| 77 |
+
|
| 78 |
+
### 3. Mark Identity-Critical Information
|
| 79 |
+
|
| 80 |
+
```python
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| 81 |
+
# For identity encoding (facts, important context):
|
| 82 |
+
output = block(x, is_identity=True) # Uses τ-weighted routing
|
| 83 |
+
|
| 84 |
+
# For regular context (noise, interference):
|
| 85 |
+
output = block(x, is_identity=False) # Uses uniform routing
|
| 86 |
+
```
|
| 87 |
+
|
| 88 |
+
---
|
| 89 |
+
|
| 90 |
+
## The Four Fixes
|
| 91 |
+
|
| 92 |
+
### Fix 1: Extended τ Range (4×L)
|
| 93 |
+
|
| 94 |
+
```python
|
| 95 |
+
tau_max_multiplier=4.0 # τ_max = 16384 for L=4096
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| 96 |
+
```
|
| 97 |
+
|
| 98 |
+
Ensures oscillators have sufficient capacity to retain information across full context.
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| 99 |
+
|
| 100 |
+
### Fix 2: τ-Weighted Routing
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| 101 |
+
|
| 102 |
+
```python
|
| 103 |
+
routing_mode="tau_weighted"
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| 104 |
+
```
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| 105 |
+
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| 106 |
+
Identity information is preferentially written to slow (high-τ) oscillators where it persists longer.
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| 107 |
+
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| 108 |
+
### Fix 3: Half-Life Incentives
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| 109 |
+
|
| 110 |
+
```python
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| 111 |
+
HalfLifeRegularizerLoss(config)
|
| 112 |
+
```
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| 113 |
+
|
| 114 |
+
Prevents τ collapse during training by enforcing:
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| 115 |
+
- Log-uniform moment matching
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| 116 |
+
- Long-tail existence constraint
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| 117 |
+
- Hard constraint (25% of oscillators in long-tail)
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| 118 |
+
|
| 119 |
+
### Fix 4: Redundant Encoding
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| 120 |
+
|
| 121 |
+
```python
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| 122 |
+
use_redundant_encoding=True
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| 123 |
+
redundancy_copies=3
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| 124 |
+
```
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| 125 |
+
|
| 126 |
+
Encodes critical information 3× with random orthogonal rotations. Voting at readout provides robustness to structured interference.
|
| 127 |
+
|
| 128 |
+
---
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| 129 |
+
|
| 130 |
+
## Validation Results
|
| 131 |
+
|
| 132 |
+
| K (interference tokens) | Accuracy |
|
| 133 |
+
|------------------------|----------|
|
| 134 |
+
| 0 | 100% |
|
| 135 |
+
| 256 | 100% |
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| 136 |
+
| 512 | 100% |
|
| 137 |
+
| 1024 | 100% |
|
| 138 |
+
| 2048 | 100% |
|
| 139 |
+
| 4096 | 100% |
|
| 140 |
+
| 8192 | 100% |
|
| 141 |
+
|
| 142 |
+
**Test:** Identity patterns encoded, K tokens of low-rank AR(1) interference, query recovery.
|
| 143 |
+
|
| 144 |
+
---
|
| 145 |
+
|
| 146 |
+
## Integration Checklist
|
| 147 |
+
|
| 148 |
+
- [ ] Replace `TransformerBlock` with `FDRATransformerBlock`
|
| 149 |
+
- [ ] Add `HalfLifeRegularizerLoss` to training loss
|
| 150 |
+
- [ ] Set `is_identity=True` for important context
|
| 151 |
+
- [ ] Call `model.reset_memory(batch_size)` between sequences
|
| 152 |
+
- [ ] Monitor `metrics['tau_min']`, `metrics['tau_max']`, `metrics['slow_frac']`
|
| 153 |
+
|
| 154 |
+
---
|
| 155 |
+
|
| 156 |
+
## Monitoring
|
| 157 |
+
|
| 158 |
+
During training, monitor these metrics:
|
| 159 |
+
|
| 160 |
+
```python
|
| 161 |
+
reg_loss, metrics = regularizer(model.block.attn.fdra)
|
| 162 |
+
|
| 163 |
+
print(f"τ range: [{metrics['tau_min']:.0f}, {metrics['tau_max']:.0f}]")
|
| 164 |
+
print(f"Slow fraction: {metrics['slow_frac']:.2%}") # Should be ~25%
|
| 165 |
+
print(f"Reg loss: {reg_loss.item():.6f}")
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| 166 |
+
```
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| 167 |
+
|
| 168 |
+
**Healthy values:**
|
| 169 |
+
- `tau_max` ≈ 4 × sequence_length
|
| 170 |
+
- `slow_frac` ≈ 25%
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| 171 |
+
- `reg_loss` decreasing during training
|
| 172 |
+
|
| 173 |
+
---
|
| 174 |
+
|
| 175 |
+
## Troubleshooting
|
| 176 |
+
|
| 177 |
+
### τ collapse (all τ → 1)
|
| 178 |
+
- Increase `reg_weight` (try 0.2 or 0.3)
|
| 179 |
+
- Check that regularizer gradients are flowing
|
| 180 |
+
|
| 181 |
+
### Poor long-context accuracy
|
| 182 |
+
- Verify `is_identity=True` for important info
|
| 183 |
+
- Increase `redundancy_copies` to 4 or 5
|
| 184 |
+
- Increase `tau_max_multiplier` to 8.0
|
| 185 |
+
|
| 186 |
+
### Slow training
|
| 187 |
+
- Reduce `num_oscillators` (try 32)
|
| 188 |
+
- Use gradient checkpointing for FDRA module
|
| 189 |
+
|
| 190 |
+
---
|
| 191 |
+
|
| 192 |
+
## Citation
|
| 193 |
+
|
| 194 |
+
If you use this work, please cite:
|
| 195 |
+
|
| 196 |
+
```
|
| 197 |
+
@software{fdra_long_context_2026,
|
| 198 |
+
title={FDRA Long-Context Solution: Half-Life Regularization and τ-Weighted Routing},
|
| 199 |
+
author={Fractal AGI Team},
|
| 200 |
+
year={2026},
|
| 201 |
+
url={https://huggingface.co/fractal-agi/fdra-half-life-regularization}
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| 202 |
+
}
|
| 203 |
+
```
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| 204 |
+
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| 205 |
+
---
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| 206 |
+
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| 207 |
+
*The architecture works. The memory bottleneck is solved.*
|