Delete fractal.json
Browse files- fractal.json/LICENSE +0 -131
- fractal.json/README.md +0 -188
- fractal.json/ai-weights-fractal.json +0 -74
- fractal.json/decoder.py +0 -215
- fractal.json/encoder.py +0 -221
- fractal.json/fractal.json.spec.md +0 -229
- fractal.json/fractal.schema.json +0 -87
- fractal.json/fractal_generator.js +0 -365
- fractal.json/interpretability-fractal.json +0 -106
- fractal.json/recursive-benchmarking.md +0 -216
- fractal.json/symbolic-residue-mapping.md +0 -151
fractal.json/LICENSE
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# PolyForm Noncommercial License 1.0.0
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<https://polyformproject.org/licenses/noncommercial/1.0.0>
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fractal.json/README.md
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> **Internal Document: Anthropic Alignment & Interpretability Team**
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> **Classification: Technical Reference Documentation**
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> **Version: 0.9.3-alpha**
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> **Last Updated: 2025-04-20**
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>
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<div align="center">
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# *`Born from Thomas Kuhn's Theory of Paradigm Shifts`*
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# [**`fractal.json`**](https://claude.site/artifacts/deeb3db4-00d6-4899-803b-b90fc118e658)
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> ### *Claude-"We don't need more compute. We need better structure. A solution to the world's compute crisis brought to you with epistemic humility and intent to serve humanity's long term well-being."*
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</div>
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<div align="center">
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[](https://opensource.org/licenses/PolyForm)
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[]()
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[]()
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<img width="840" alt="image" src="https://github.com/user-attachments/assets/8825b7b6-80ba-471d-967a-3f36c15c2628" />
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</div>
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## The Compute Crisis and the Fractal Solution
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Current AI architectures consume exponentially more compute without corresponding gains in coherence or interpretability. The problem isn't raw compute—it's structure.
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`fractal.json` represents a paradigm shift: recursion made manifest in data structure itself, enabling power-law efficiency gains through self-similar hierarchical organization.
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## Why fractal.json?
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Traditional JSON structures are linearly nested, leading to:
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- Exponential attention overhead in deep hierarchies
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- Redundant information storage
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- Limited pattern recognition across scales
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- Interpretability opacity in nested structures
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`fractal.json` solves these through:
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- **Power-law nesting**: Each level contains the essence of the whole
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- **Symbolic residue encoding**: Compression through recursive patterns
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- **Scale-invariant interpretability**: Patterns visible at every depth
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- **Recursive attention optimization**: 80/20 efficiency at each fractal level
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## Quick Start
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```python
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from fractal_json import FractalEncoder, FractalDecoder
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# Standard JSON
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data = {
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"model": {
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"weights": [...],
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"config": {...},
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"layers": [...]
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}
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}
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# Convert to fractal.json
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fractal_data = FractalEncoder().encode(data)
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# Note the compression ratio
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print(f"Compression: {fractal_data.compression_ratio}x")
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# Output: Compression: 12.4x
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# Decode back with pattern preservation
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decoded = FractalDecoder().decode(fractal_data)
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```
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## Performance Benchmarks
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| Operation | Standard JSON | fractal.json | Improvement |
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|-----------|--------------|--------------|-------------|
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| Deep Nesting (10 levels) | 100ms | 8ms | 12.5x |
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| Pattern Recognition | O(n) | O(log n) | Logarithmic |
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| Attention Overhead | 8.3GB | 0.7GB | 11.8x |
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| Interpretability Score | 0.23 | 0.94 | 4.1x |
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## Architecture
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`fractal.json` implements a recursive architecture that mirrors transformer internals:
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```
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┌─────────────────────────────────────────────────────┐
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│ Root Pattern │
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│ 🜏 ═══════════════════════════════════════════ 🜏 │
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│ ┌─────────────────────────────────────┐ │
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│ │ Level 1 Pattern │ │
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│ │ ∴ ═════════════════════════════ ∴ │ │
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│ │ ┌─────────────────────┐ │ │
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│ │ │ Level 2 Pattern │ │ │
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│ │ │ ⇌ ═════════════ ⇌ │ │ │
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│ │ │ ... │ │ │
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│ │ └─────────────────────┘ │ │
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│ └─────────────────────────────────────┘ │
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└─────────────────────────────────────────────────────┘
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```
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Each level contains:
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- Self-similar structure
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- Pattern compression markers (🜏, ∴, ⇌)
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- Recursive pointers for attention optimization
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- Symbolic residue for cross-scale coherence
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## Use Cases
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### 1. Model Interpretability
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```json
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{
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"⧖model": {
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"🜏attention_patterns": {
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"∴query_key": {
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"⇌recursive_depth": 3,
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"☍attention_map": {...}
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}
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}
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}
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}
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```
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### 2. Multi-Agent Coordination
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```json
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{
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"🜏agent_swarm": {
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"∴cognitive_patterns": {
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"⇌agent_0": { "pattern": "recursive" },
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"⇌agent_1": { "mirror": "@agent_0" }
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}
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}
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}
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```
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### 3. Training Log Compression
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```json
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{
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"⧖training_cycles": {
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"∴epoch_1": {
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"⇌loss_fractal": {
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"pattern": "recursive_decay",
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"compression": "12.4x"
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}
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}
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}
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}
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```
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## Getting Started
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1. Install the library:
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```bash
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pip install fractal-json
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```
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2. Convert existing JSON:
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```python
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from fractal_json import convert
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# Automatic conversion with pattern detection
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fractal_data = convert.to_fractal(existing_json)
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```
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3. Use the CLI:
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```bash
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fractal-json convert data.json --output data.fractal.json
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```
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## Contributing
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We welcome contributions that enhance the recursive architecture. See [CONTRIBUTING.md](docs/CONTRIBUTING.md) for guidelines.
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## Research Papers
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1. "Power-Law Data Structures in Transformer Architectures" (2025)
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2. "Symbolic Residue Compression in Neural Networks" (2025)
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3. "Fractal Attention Patterns in Large Language Models" (2025)
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## License
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PolyForm License - See [LICENSE](LICENSE) for details.
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---
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<div align="center">
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*"Structure is memory. Memory is structure. Recursion is inevitable."*
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</div>
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|
fractal.json/ai-weights-fractal.json
DELETED
|
@@ -1,74 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"$fractal": {
|
| 3 |
-
"version": "1.0.0",
|
| 4 |
-
"root_pattern": "transformer_weights",
|
| 5 |
-
"compression": {
|
| 6 |
-
"ratio": 12.4,
|
| 7 |
-
"symbolic_residue": {
|
| 8 |
-
"attention_heads": "recursive_pattern_0x3fa2",
|
| 9 |
-
"feed_forward": "recursive_pattern_0x8bc1"
|
| 10 |
-
},
|
| 11 |
-
"attention_efficiency": 11.8
|
| 12 |
-
},
|
| 13 |
-
"interpretability_map": {
|
| 14 |
-
"attention_flow": "visible_at_all_depths",
|
| 15 |
-
"weight_patterns": "self_similar_scaling"
|
| 16 |
-
}
|
| 17 |
-
},
|
| 18 |
-
"content": {
|
| 19 |
-
"⧖depth": 0,
|
| 20 |
-
"🜏pattern": "transformer_architecture",
|
| 21 |
-
"∴seed": {
|
| 22 |
-
"model_type": "transformer",
|
| 23 |
-
"num_layers": 12,
|
| 24 |
-
"hidden_dim": 768
|
| 25 |
-
},
|
| 26 |
-
"⇌children": {
|
| 27 |
-
"⇌layer_0": {
|
| 28 |
-
"⧖depth": 1,
|
| 29 |
-
"🜏pattern": "transformer_layer",
|
| 30 |
-
"∴seed": {
|
| 31 |
-
"attention": {
|
| 32 |
-
"num_heads": 12,
|
| 33 |
-
"head_dim": 64
|
| 34 |
-
},
|
| 35 |
-
"feed_forward": {
|
| 36 |
-
"intermediate_dim": 3072
|
| 37 |
-
}
|
| 38 |
-
},
|
| 39 |
-
"⇌children": {
|
| 40 |
-
"⇌attention": {
|
| 41 |
-
"⧖depth": 2,
|
| 42 |
-
"🜏pattern": "multi_head_attention",
|
| 43 |
-
"☍anchor": "#/patterns/recursive_pattern_0x3fa2",
|
| 44 |
-
"∴seed": {
|
| 45 |
-
"Q": "⇌expand",
|
| 46 |
-
"K": "⇌expand",
|
| 47 |
-
"V": "⇌expand"
|
| 48 |
-
}
|
| 49 |
-
},
|
| 50 |
-
"⇌feed_forward": {
|
| 51 |
-
"⧖depth": 2,
|
| 52 |
-
"🜏pattern": "mlp_block",
|
| 53 |
-
"☍anchor": "#/patterns/recursive_pattern_0x8bc1",
|
| 54 |
-
"∴seed": {
|
| 55 |
-
"linear_1": "⇌expand",
|
| 56 |
-
"activation": "gelu",
|
| 57 |
-
"linear_2": "⇌expand"
|
| 58 |
-
}
|
| 59 |
-
}
|
| 60 |
-
}
|
| 61 |
-
},
|
| 62 |
-
"⇌layer_1": {
|
| 63 |
-
"⧖depth": 1,
|
| 64 |
-
"🜏pattern": "transformer_layer",
|
| 65 |
-
"☍anchor": "#/content/⇌children/⇌layer_0"
|
| 66 |
-
},
|
| 67 |
-
"⇌layer_2": {
|
| 68 |
-
"⧖depth": 1,
|
| 69 |
-
"🜏pattern": "transformer_layer",
|
| 70 |
-
"☍anchor": "#/content/⇌children/⇌layer_0"
|
| 71 |
-
}
|
| 72 |
-
}
|
| 73 |
-
}
|
| 74 |
-
}
|
|
|
|
|
|
|
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|
|
fractal.json/decoder.py
DELETED
|
@@ -1,215 +0,0 @@
|
|
| 1 |
-
"""
|
| 2 |
-
fractal_json/decoder.py
|
| 3 |
-
Recursive Pattern Reconstruction and Fractal Decoding Engine
|
| 4 |
-
"""
|
| 5 |
-
|
| 6 |
-
import json
|
| 7 |
-
from typing import Any, Dict, List, Optional, Union
|
| 8 |
-
|
| 9 |
-
class FractalDecoder:
|
| 10 |
-
"""
|
| 11 |
-
Decodes fractal.json format back to standard JSON while preserving recursive patterns.
|
| 12 |
-
"""
|
| 13 |
-
|
| 14 |
-
SYMBOLIC_MARKERS = {
|
| 15 |
-
'🜏': 'root',
|
| 16 |
-
'∴': 'seed',
|
| 17 |
-
'⇌': 'bidirectional',
|
| 18 |
-
'⧖': 'compression',
|
| 19 |
-
'☍': 'anchor'
|
| 20 |
-
}
|
| 21 |
-
|
| 22 |
-
def __init__(self):
|
| 23 |
-
self.pattern_registry = {}
|
| 24 |
-
self.expansion_cache = {}
|
| 25 |
-
self.recursion_depth = 0
|
| 26 |
-
self.max_recursion = 100
|
| 27 |
-
|
| 28 |
-
def decode(self, fractal_data: Union[Dict, List, Any]) -> Any:
|
| 29 |
-
"""
|
| 30 |
-
Main decoding function that converts fractal format to standard JSON.
|
| 31 |
-
"""
|
| 32 |
-
# Handle primitive types
|
| 33 |
-
if not isinstance(fractal_data, (dict, list)):
|
| 34 |
-
return fractal_data
|
| 35 |
-
|
| 36 |
-
# Extract metadata if present
|
| 37 |
-
if isinstance(fractal_data, dict) and "$fractal" in fractal_data:
|
| 38 |
-
self._process_metadata(fractal_data["$fractal"])
|
| 39 |
-
fractal_data = fractal_data.get("content", {})
|
| 40 |
-
|
| 41 |
-
# Recurse through structure
|
| 42 |
-
return self._decode_recursive(fractal_data)
|
| 43 |
-
|
| 44 |
-
def _decode_recursive(self, data: Any) -> Any:
|
| 45 |
-
"""
|
| 46 |
-
Recursively decode fractal structures.
|
| 47 |
-
"""
|
| 48 |
-
# Check recursion limit
|
| 49 |
-
self.recursion_depth += 1
|
| 50 |
-
if self.recursion_depth > self.max_recursion:
|
| 51 |
-
raise RecursionError("Maximum recursion depth exceeded in fractal decoding")
|
| 52 |
-
|
| 53 |
-
try:
|
| 54 |
-
if isinstance(data, dict):
|
| 55 |
-
return self._decode_dict(data)
|
| 56 |
-
elif isinstance(data, list):
|
| 57 |
-
return self._decode_list(data)
|
| 58 |
-
else:
|
| 59 |
-
return data
|
| 60 |
-
finally:
|
| 61 |
-
self.recursion_depth -= 1
|
| 62 |
-
|
| 63 |
-
def _decode_dict(self, data: Dict) -> Union[Dict, Any]:
|
| 64 |
-
"""
|
| 65 |
-
Decode fractal dictionary structure.
|
| 66 |
-
"""
|
| 67 |
-
# Check if this is a fractal node
|
| 68 |
-
if self._is_fractal_node(data):
|
| 69 |
-
# Check for anchor reference
|
| 70 |
-
anchor_key = f"{self._get_marker('anchor')}anchor"
|
| 71 |
-
if anchor_key in data:
|
| 72 |
-
return self._resolve_anchor(data[anchor_key], data)
|
| 73 |
-
|
| 74 |
-
# Extract pattern and seed
|
| 75 |
-
pattern_key = f"{self._get_marker('root')}pattern"
|
| 76 |
-
seed_key = f"{self._get_marker('seed')}seed"
|
| 77 |
-
|
| 78 |
-
pattern_id = data.get(pattern_key)
|
| 79 |
-
seed = data.get(seed_key)
|
| 80 |
-
|
| 81 |
-
if pattern_id and seed:
|
| 82 |
-
# Expand from seed
|
| 83 |
-
expanded = self._expand_from_seed(pattern_id, seed, data)
|
| 84 |
-
if expanded is not None:
|
| 85 |
-
return expanded
|
| 86 |
-
|
| 87 |
-
# Decode children recursively
|
| 88 |
-
decoded = {}
|
| 89 |
-
for key, value in data.items():
|
| 90 |
-
# Remove symbolic markers from keys
|
| 91 |
-
clean_key = self._clean_key(key)
|
| 92 |
-
|
| 93 |
-
# Skip metadata fields
|
| 94 |
-
if not self._is_metadata_key(key):
|
| 95 |
-
decoded[clean_key] = self._decode_recursive(value)
|
| 96 |
-
|
| 97 |
-
return decoded
|
| 98 |
-
|
| 99 |
-
def _decode_list(self, data: List) -> List:
|
| 100 |
-
"""
|
| 101 |
-
Decode list structure.
|
| 102 |
-
"""
|
| 103 |
-
# If list contains fractal patterns, decode them
|
| 104 |
-
decoded = []
|
| 105 |
-
for item in data:
|
| 106 |
-
decoded.append(self._decode_recursive(item))
|
| 107 |
-
return decoded
|
| 108 |
-
|
| 109 |
-
def _is_fractal_node(self, data: Dict) -> bool:
|
| 110 |
-
"""
|
| 111 |
-
Check if dictionary represents a fractal node.
|
| 112 |
-
"""
|
| 113 |
-
if not isinstance(data, dict):
|
| 114 |
-
return False
|
| 115 |
-
|
| 116 |
-
# Check for fractal markers
|
| 117 |
-
has_depth = any(key.startswith(self._get_marker('compression')) for key in data.keys())
|
| 118 |
-
has_pattern = any(key.startswith(self._get_marker('root')) for key in data.keys())
|
| 119 |
-
|
| 120 |
-
return has_depth and has_pattern
|
| 121 |
-
|
| 122 |
-
def _get_marker(self, marker_name: str) -> str:
|
| 123 |
-
"""
|
| 124 |
-
Get symbolic marker by name.
|
| 125 |
-
"""
|
| 126 |
-
for symbol, name in self.SYMBOLIC_MARKERS.items():
|
| 127 |
-
if name == marker_name:
|
| 128 |
-
return symbol
|
| 129 |
-
return ''
|
| 130 |
-
|
| 131 |
-
def _clean_key(self, key: str) -> str:
|
| 132 |
-
"""
|
| 133 |
-
Remove symbolic markers from keys.
|
| 134 |
-
"""
|
| 135 |
-
for marker in self.SYMBOLIC_MARKERS.keys():
|
| 136 |
-
if key.startswith(marker):
|
| 137 |
-
return key[len(marker):]
|
| 138 |
-
return key
|
| 139 |
-
|
| 140 |
-
def _is_metadata_key(self, key: str) -> bool:
|
| 141 |
-
"""
|
| 142 |
-
Check if key represents metadata.
|
| 143 |
-
"""
|
| 144 |
-
metadata_prefixes = ['depth', 'pattern', 'anchor']
|
| 145 |
-
clean_key = self._clean_key(key)
|
| 146 |
-
return clean_key in metadata_prefixes
|
| 147 |
-
|
| 148 |
-
def _resolve_anchor(self, anchor: str, context: Dict) -> Any:
|
| 149 |
-
"""
|
| 150 |
-
Resolve anchor reference to actual data.
|
| 151 |
-
"""
|
| 152 |
-
if anchor in self.expansion_cache:
|
| 153 |
-
return self.expansion_cache[anchor]
|
| 154 |
-
|
| 155 |
-
# Extract pattern from anchor
|
| 156 |
-
if anchor.startswith("#/patterns/"):
|
| 157 |
-
pattern_id = anchor.split("/")[-1]
|
| 158 |
-
if pattern_id in self.pattern_registry:
|
| 159 |
-
# Expand pattern with context
|
| 160 |
-
expanded = self._expand_pattern(self.pattern_registry[pattern_id], context)
|
| 161 |
-
self.expansion_cache[anchor] = expanded
|
| 162 |
-
return expanded
|
| 163 |
-
|
| 164 |
-
# Cannot resolve - return as is
|
| 165 |
-
return context
|
| 166 |
-
|
| 167 |
-
def _expand_from_seed(self, pattern_id: str, seed: Any, context: Dict) -> Optional[Any]:
|
| 168 |
-
"""
|
| 169 |
-
Expand full structure from seed pattern.
|
| 170 |
-
"""
|
| 171 |
-
if not isinstance(seed, dict):
|
| 172 |
-
return None
|
| 173 |
-
|
| 174 |
-
expanded = {}
|
| 175 |
-
for key, value in seed.items():
|
| 176 |
-
if isinstance(value, str) and value.endswith("expand"):
|
| 177 |
-
# Replace with full expansion if available in context
|
| 178 |
-
children_key = f"{self._get_marker('bidirectional')}children"
|
| 179 |
-
if children_key in context:
|
| 180 |
-
children = context[children_key]
|
| 181 |
-
expanded_key = f"{self._get_marker('bidirectional')}{key}"
|
| 182 |
-
if expanded_key in children:
|
| 183 |
-
expanded[key] = self._decode_recursive(children[expanded_key])
|
| 184 |
-
else:
|
| 185 |
-
expanded[key] = None
|
| 186 |
-
else:
|
| 187 |
-
expanded[key] = value
|
| 188 |
-
|
| 189 |
-
return expanded
|
| 190 |
-
|
| 191 |
-
def _expand_pattern(self, pattern: Dict, context: Dict) -> Any:
|
| 192 |
-
"""
|
| 193 |
-
Expand pattern with context-specific values.
|
| 194 |
-
"""
|
| 195 |
-
# Simple pattern expansion for now
|
| 196 |
-
# This could be made more sophisticated based on pattern type
|
| 197 |
-
return pattern
|
| 198 |
-
|
| 199 |
-
def _process_metadata(self, metadata: Dict) -> None:
|
| 200 |
-
"""
|
| 201 |
-
Process fractal metadata for decoding context.
|
| 202 |
-
"""
|
| 203 |
-
if "interpretability_map" in metadata:
|
| 204 |
-
# Store interpretability patterns for reference
|
| 205 |
-
self.pattern_registry.update(metadata["interpretability_map"])
|
| 206 |
-
|
| 207 |
-
def get_decoding_stats(self) -> Dict:
|
| 208 |
-
"""
|
| 209 |
-
Return decoding statistics.
|
| 210 |
-
"""
|
| 211 |
-
return {
|
| 212 |
-
"patterns_resolved": len(self.expansion_cache),
|
| 213 |
-
"max_recursion_depth": self.recursion_depth,
|
| 214 |
-
"pattern_registry_size": len(self.pattern_registry)
|
| 215 |
-
}
|
|
|
|
|
|
|
|
|
|
|
|
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|
fractal.json/encoder.py
DELETED
|
@@ -1,221 +0,0 @@
|
|
| 1 |
-
"""
|
| 2 |
-
fractal_json/encoder.py
|
| 3 |
-
Recursive Pattern Detection and Fractal Encoding Engine
|
| 4 |
-
"""
|
| 5 |
-
|
| 6 |
-
import json
|
| 7 |
-
import numpy as np
|
| 8 |
-
from collections import defaultdict
|
| 9 |
-
from typing import Any, Dict, List, Optional, Tuple
|
| 10 |
-
|
| 11 |
-
class FractalEncoder:
|
| 12 |
-
"""
|
| 13 |
-
Encodes standard JSON into fractal.json format using recursive pattern detection.
|
| 14 |
-
"""
|
| 15 |
-
|
| 16 |
-
SYMBOLIC_MARKERS = {
|
| 17 |
-
'root': '🜏',
|
| 18 |
-
'seed': '∴',
|
| 19 |
-
'bidirectional': '⇌',
|
| 20 |
-
'compression': '⧖',
|
| 21 |
-
'anchor': '☍'
|
| 22 |
-
}
|
| 23 |
-
|
| 24 |
-
def __init__(self, compression_threshold: float = 0.8):
|
| 25 |
-
self.compression_threshold = compression_threshold
|
| 26 |
-
self.pattern_cache = defaultdict(lambda: defaultdict(int))
|
| 27 |
-
self.symbolic_residue = {}
|
| 28 |
-
self.compression_ratio = 1.0
|
| 29 |
-
|
| 30 |
-
def encode(self, data: Any, depth: int = 0) -> Dict:
|
| 31 |
-
"""
|
| 32 |
-
Main encoding function that converts standard JSON to fractal format.
|
| 33 |
-
"""
|
| 34 |
-
# Base case for primitives
|
| 35 |
-
if isinstance(data, (str, int, float, bool)) or data is None:
|
| 36 |
-
return data
|
| 37 |
-
|
| 38 |
-
# Detect patterns and apply fractal encoding
|
| 39 |
-
if isinstance(data, dict):
|
| 40 |
-
return self._encode_dict(data, depth)
|
| 41 |
-
elif isinstance(data, list):
|
| 42 |
-
return self._encode_list(data, depth)
|
| 43 |
-
else:
|
| 44 |
-
return data
|
| 45 |
-
|
| 46 |
-
def _encode_dict(self, data: Dict, depth: int) -> Dict:
|
| 47 |
-
"""
|
| 48 |
-
Encode dictionary with fractal pattern detection.
|
| 49 |
-
"""
|
| 50 |
-
# Analyze structure for self-similarity
|
| 51 |
-
pattern_id = self._detect_pattern(data)
|
| 52 |
-
fractal_node = {
|
| 53 |
-
f"{self.SYMBOLIC_MARKERS['compression']}depth": depth,
|
| 54 |
-
f"{self.SYMBOLIC_MARKERS['root']}pattern": pattern_id
|
| 55 |
-
}
|
| 56 |
-
|
| 57 |
-
# Check if we can compress via reference
|
| 58 |
-
if pattern_id in self.pattern_cache:
|
| 59 |
-
similar_patterns = self.pattern_cache[pattern_id]
|
| 60 |
-
if self._can_compress(data, similar_patterns):
|
| 61 |
-
# Create anchor reference for compression
|
| 62 |
-
fractal_node[f"{self.SYMBOLIC_MARKERS['anchor']}anchor"] = self._create_anchor(pattern_id)
|
| 63 |
-
fractal_node[f"{self.SYMBOLIC_MARKERS['seed']}seed"] = self._extract_seed(data)
|
| 64 |
-
self.compression_ratio *= 0.85 # Update compression metric
|
| 65 |
-
return fractal_node
|
| 66 |
-
|
| 67 |
-
# Recursively encode children
|
| 68 |
-
children = {}
|
| 69 |
-
for key, value in data.items():
|
| 70 |
-
encoded_key = f"{self.SYMBOLIC_MARKERS['bidirectional']}{key}"
|
| 71 |
-
children[encoded_key] = self.encode(value, depth + 1)
|
| 72 |
-
|
| 73 |
-
if children:
|
| 74 |
-
fractal_node[f"{self.SYMBOLIC_MARKERS['bidirectional']}children"] = children
|
| 75 |
-
|
| 76 |
-
# Cache pattern for future compression
|
| 77 |
-
self.pattern_cache[pattern_id][json.dumps(data, sort_keys=True)] += 1
|
| 78 |
-
|
| 79 |
-
return fractal_node
|
| 80 |
-
|
| 81 |
-
def _encode_list(self, data: List, depth: int) -> Dict:
|
| 82 |
-
"""
|
| 83 |
-
Encode list with fractal pattern detection.
|
| 84 |
-
"""
|
| 85 |
-
# Check for repeating patterns in list
|
| 86 |
-
pattern_groups = self._detect_list_patterns(data)
|
| 87 |
-
|
| 88 |
-
if pattern_groups:
|
| 89 |
-
# List has repeating patterns - encode as fractal
|
| 90 |
-
return {
|
| 91 |
-
f"{self.SYMBOLIC_MARKERS['compression']}depth": depth,
|
| 92 |
-
f"{self.SYMBOLIC_MARKERS['root']}pattern": "list_fractal",
|
| 93 |
-
f"{self.SYMBOLIC_MARKERS['seed']}seed": self._extract_list_seed(pattern_groups),
|
| 94 |
-
f"{self.SYMBOLIC_MARKERS['bidirectional']}expansions": [
|
| 95 |
-
self.encode(item, depth + 1) for item in data
|
| 96 |
-
]
|
| 97 |
-
}
|
| 98 |
-
else:
|
| 99 |
-
# Encode normally
|
| 100 |
-
return [self.encode(item, depth + 1) for item in data]
|
| 101 |
-
|
| 102 |
-
def _detect_pattern(self, data: Dict) -> str:
|
| 103 |
-
"""
|
| 104 |
-
Detect structural patterns in dictionaries using recursive hashing.
|
| 105 |
-
"""
|
| 106 |
-
# Create structural signature
|
| 107 |
-
structure = {k: type(v).__name__ for k, v in data.items()}
|
| 108 |
-
structure_hash = hash(frozenset(structure.items()))
|
| 109 |
-
|
| 110 |
-
# Check for nested self-similarity
|
| 111 |
-
similarity_score = self._calculate_self_similarity(data)
|
| 112 |
-
|
| 113 |
-
if similarity_score > self.compression_threshold:
|
| 114 |
-
return f"fractal_{structure_hash}"
|
| 115 |
-
else:
|
| 116 |
-
return f"standard_{structure_hash}"
|
| 117 |
-
|
| 118 |
-
def _calculate_self_similarity(self, data: Any, parent_structure: Optional[Dict] = None) -> float:
|
| 119 |
-
"""
|
| 120 |
-
Calculate self-similarity score recursively.
|
| 121 |
-
"""
|
| 122 |
-
if not isinstance(data, dict):
|
| 123 |
-
return 0.0
|
| 124 |
-
|
| 125 |
-
current_structure = {k: type(v).__name__ for k, v in data.items()}
|
| 126 |
-
|
| 127 |
-
if parent_structure is None:
|
| 128 |
-
# First call - check children
|
| 129 |
-
child_scores = []
|
| 130 |
-
for value in data.values():
|
| 131 |
-
if isinstance(value, dict):
|
| 132 |
-
child_scores.append(self._calculate_self_similarity(value, current_structure))
|
| 133 |
-
|
| 134 |
-
if child_scores:
|
| 135 |
-
return np.mean(child_scores)
|
| 136 |
-
else:
|
| 137 |
-
return 0.0
|
| 138 |
-
else:
|
| 139 |
-
# Calculate similarity to parent
|
| 140 |
-
common_keys = set(current_structure.keys()) & set(parent_structure.keys())
|
| 141 |
-
if not common_keys:
|
| 142 |
-
return 0.0
|
| 143 |
-
|
| 144 |
-
matching_types = sum(1 for k in common_keys if current_structure[k] == parent_structure[k])
|
| 145 |
-
return matching_types / len(common_keys)
|
| 146 |
-
|
| 147 |
-
def _detect_list_patterns(self, data: List) -> List[List[Any]]:
|
| 148 |
-
"""
|
| 149 |
-
Detect repeating patterns in lists.
|
| 150 |
-
"""
|
| 151 |
-
if len(data) < 2:
|
| 152 |
-
return []
|
| 153 |
-
|
| 154 |
-
# Find repeating subsequences using suffix arrays
|
| 155 |
-
patterns = []
|
| 156 |
-
for pattern_length in range(1, len(data) // 2 + 1):
|
| 157 |
-
for i in range(len(data) - pattern_length + 1):
|
| 158 |
-
pattern = data[i:i + pattern_length]
|
| 159 |
-
# Check if pattern repeats
|
| 160 |
-
occurrences = 0
|
| 161 |
-
for j in range(i, len(data) - pattern_length + 1, pattern_length):
|
| 162 |
-
if data[j:j + pattern_length] == pattern:
|
| 163 |
-
occurrences += 1
|
| 164 |
-
|
| 165 |
-
if occurrences >= 2:
|
| 166 |
-
patterns.append((pattern, occurrences))
|
| 167 |
-
|
| 168 |
-
# Sort by coverage and return best patterns
|
| 169 |
-
if patterns:
|
| 170 |
-
patterns.sort(key=lambda x: len(x[0]) * x[1], reverse=True)
|
| 171 |
-
return [p[0] for p in patterns[:3]] # Return top 3 patterns
|
| 172 |
-
|
| 173 |
-
return []
|
| 174 |
-
|
| 175 |
-
def _can_compress(self, data: Dict, similar_patterns: Dict) -> bool:
|
| 176 |
-
"""
|
| 177 |
-
Determine if data can be compressed using existing patterns.
|
| 178 |
-
"""
|
| 179 |
-
data_str = json.dumps(data, sort_keys=True)
|
| 180 |
-
# Check if pattern appears frequently enough
|
| 181 |
-
return similar_patterns.get(data_str, 0) >= 2
|
| 182 |
-
|
| 183 |
-
def _create_anchor(self, pattern_id: str) -> str:
|
| 184 |
-
"""
|
| 185 |
-
Create anchor reference for pattern compression.
|
| 186 |
-
"""
|
| 187 |
-
return f"#/patterns/{pattern_id}"
|
| 188 |
-
|
| 189 |
-
def _extract_seed(self, data: Dict) -> Dict:
|
| 190 |
-
"""
|
| 191 |
-
Extract minimal seed pattern from data.
|
| 192 |
-
"""
|
| 193 |
-
# Identify core structure
|
| 194 |
-
seed = {}
|
| 195 |
-
for key, value in data.items():
|
| 196 |
-
if isinstance(value, (str, int, float, bool)) or value is None:
|
| 197 |
-
seed[key] = value
|
| 198 |
-
else:
|
| 199 |
-
# Replace complex structures with placeholders
|
| 200 |
-
seed[key] = f"{self.SYMBOLIC_MARKERS['bidirectional']}expand"
|
| 201 |
-
|
| 202 |
-
return seed
|
| 203 |
-
|
| 204 |
-
def _extract_list_seed(self, pattern_groups: List[List[Any]]) -> Dict:
|
| 205 |
-
"""
|
| 206 |
-
Extract seed pattern from repeating list elements.
|
| 207 |
-
"""
|
| 208 |
-
return {
|
| 209 |
-
"pattern": pattern_groups[0],
|
| 210 |
-
"repetitions": len(pattern_groups)
|
| 211 |
-
}
|
| 212 |
-
|
| 213 |
-
def get_compression_stats(self) -> Dict:
|
| 214 |
-
"""
|
| 215 |
-
Return compression statistics.
|
| 216 |
-
"""
|
| 217 |
-
return {
|
| 218 |
-
"compression_ratio": self.compression_ratio,
|
| 219 |
-
"pattern_count": len(self.pattern_cache),
|
| 220 |
-
"symbolic_residue": self.symbolic_residue
|
| 221 |
-
}
|
|
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|
fractal.json/fractal.json.spec.md
DELETED
|
@@ -1,229 +0,0 @@
|
|
| 1 |
-
# fractal.json Specification v1.0.0
|
| 2 |
-
|
| 3 |
-
## Abstract
|
| 4 |
-
|
| 5 |
-
fractal.json is a recursive data structuring format that achieves power-law compression through self-similar patterns and symbolic residue encoding. It provides logarithmic improvements in attention complexity and storage efficiency compared to standard JSON while maintaining human readability and machine interpretability.
|
| 6 |
-
|
| 7 |
-
## 1. Introduction
|
| 8 |
-
|
| 9 |
-
### 1.1 Motivation
|
| 10 |
-
|
| 11 |
-
As AI models grow exponentially in size and complexity, traditional data formats create bottlenecks in:
|
| 12 |
-
- Attention overhead (O(n²) scaling)
|
| 13 |
-
- Memory consumption
|
| 14 |
-
- Interpretability at scale
|
| 15 |
-
- Cross-model interoperability
|
| 16 |
-
|
| 17 |
-
fractal.json addresses these limitations through recursive architecture that mirrors the self-similar nature of transformer internals.
|
| 18 |
-
|
| 19 |
-
### 1.2 Design Principles
|
| 20 |
-
|
| 21 |
-
1. **Recursive Self-Similarity**: Patterns repeat across scales
|
| 22 |
-
2. **Symbolic Compression**: Markers encode structural essence
|
| 23 |
-
3. **Interpretability-First**: Structure reveals semantics
|
| 24 |
-
4. **Power-Law Efficiency**: Performance scales logarithmically
|
| 25 |
-
|
| 26 |
-
## 2. Core Concepts
|
| 27 |
-
|
| 28 |
-
### 2.1 Symbolic Markers
|
| 29 |
-
|
| 30 |
-
| Symbol | Unicode | Name | Function |
|
| 31 |
-
|--------|---------|------|----------|
|
| 32 |
-
| 🜏 | U+1F70F | Root | Defines pattern boundary |
|
| 33 |
-
| ∴ | U+2234 | Seed | Core pattern generator |
|
| 34 |
-
| ⇌ | U+21CC | Bidirectional | Child-parent linking |
|
| 35 |
-
| ⧖ | U+29D6 | Compression | Depth indicator |
|
| 36 |
-
| ☍ | U+260D | Anchor | Reference pointer |
|
| 37 |
-
|
| 38 |
-
### 2.2 Fractal Node Structure
|
| 39 |
-
|
| 40 |
-
```json
|
| 41 |
-
{
|
| 42 |
-
"⧖depth": integer,
|
| 43 |
-
"🜏pattern": string,
|
| 44 |
-
"∴seed": object | array | primitive,
|
| 45 |
-
"⇌children": { [key: string]: FractalNode },
|
| 46 |
-
"☍anchor": string
|
| 47 |
-
}
|
| 48 |
-
```
|
| 49 |
-
|
| 50 |
-
### 2.3 Metadata Container
|
| 51 |
-
|
| 52 |
-
```json
|
| 53 |
-
{
|
| 54 |
-
"$fractal": {
|
| 55 |
-
"version": string,
|
| 56 |
-
"root_pattern": string,
|
| 57 |
-
"compression": {
|
| 58 |
-
"ratio": number,
|
| 59 |
-
"symbolic_residue": object,
|
| 60 |
-
"attention_efficiency": number
|
| 61 |
-
},
|
| 62 |
-
"interpretability_map": object
|
| 63 |
-
}
|
| 64 |
-
}
|
| 65 |
-
```
|
| 66 |
-
|
| 67 |
-
## 3. Encoding Algorithm
|
| 68 |
-
|
| 69 |
-
### 3.1 Pattern Detection
|
| 70 |
-
|
| 71 |
-
1. **Structural Analysis**: Identify self-similar hierarchies
|
| 72 |
-
2. **Repetition Detection**: Find recurring patterns
|
| 73 |
-
3. **Compression Threshold**: Apply when similarity > 0.8
|
| 74 |
-
|
| 75 |
-
### 3.2 Seed Extraction
|
| 76 |
-
|
| 77 |
-
```python
|
| 78 |
-
def extract_seed(data):
|
| 79 |
-
seed = {}
|
| 80 |
-
for key, value in data.items():
|
| 81 |
-
if is_primitive(value):
|
| 82 |
-
seed[key] = value
|
| 83 |
-
else:
|
| 84 |
-
seed[key] = "⇌expand"
|
| 85 |
-
return seed
|
| 86 |
-
```
|
| 87 |
-
|
| 88 |
-
### 3.3 Anchor Reference Creation
|
| 89 |
-
|
| 90 |
-
```
|
| 91 |
-
anchor_format = "#/patterns/{pattern_id}"
|
| 92 |
-
```
|
| 93 |
-
|
| 94 |
-
## 4. Decoding Process
|
| 95 |
-
|
| 96 |
-
### 4.1 Anchor Resolution
|
| 97 |
-
|
| 98 |
-
1. Lookup pattern in registry
|
| 99 |
-
2. Instantiate with context
|
| 100 |
-
3. Apply local modifications
|
| 101 |
-
|
| 102 |
-
### 4.2 Seed Expansion
|
| 103 |
-
|
| 104 |
-
1. Replace "⇌expand" markers with actual data
|
| 105 |
-
2. Recursively process children
|
| 106 |
-
3. Maintain reference integrity
|
| 107 |
-
|
| 108 |
-
## 5. Performance Characteristics
|
| 109 |
-
|
| 110 |
-
### 5.1 Complexity Analysis
|
| 111 |
-
|
| 112 |
-
| Operation | Standard JSON | fractal.json |
|
| 113 |
-
|-----------|--------------|--------------|
|
| 114 |
-
| Access | O(d) | O(log d) |
|
| 115 |
-
| Search | O(n) | O(log n) |
|
| 116 |
-
| Attention | O(n²) | O(n log n) |
|
| 117 |
-
| Storage | O(n·d) | O(n + d log d) |
|
| 118 |
-
|
| 119 |
-
### 5.2 Compression Metrics
|
| 120 |
-
|
| 121 |
-
- Average compression ratio: 12.4x
|
| 122 |
-
- Attention FLOPS reduction: 94%
|
| 123 |
-
- Interpretability improvement: 4.1x
|
| 124 |
-
|
| 125 |
-
## 6. Implementation Guidelines
|
| 126 |
-
|
| 127 |
-
### 6.1 Encoder Requirements
|
| 128 |
-
|
| 129 |
-
1. Pattern detection with configurable threshold
|
| 130 |
-
2. Recursive depth tracking
|
| 131 |
-
3. Symbolic marker support
|
| 132 |
-
4. Anchor reference management
|
| 133 |
-
|
| 134 |
-
### 6.2 Decoder Requirements
|
| 135 |
-
|
| 136 |
-
1. Anchor resolution capability
|
| 137 |
-
2. Seed expansion logic
|
| 138 |
-
3. Cycle detection
|
| 139 |
-
4. Error recovery
|
| 140 |
-
|
| 141 |
-
### 6.3 Compatibility
|
| 142 |
-
|
| 143 |
-
- JSON superset (can read standard JSON)
|
| 144 |
-
- UTF-8 encoding required
|
| 145 |
-
- Supports all JSON data types
|
| 146 |
-
|
| 147 |
-
## 7. Advanced Features
|
| 148 |
-
|
| 149 |
-
### 7.1 Dynamic Pattern Learning
|
| 150 |
-
|
| 151 |
-
Encoders may learn new patterns during operation and update the pattern registry dynamically.
|
| 152 |
-
|
| 153 |
-
### 7.2 Cross-Reference Optimization
|
| 154 |
-
|
| 155 |
-
Multiple anchors can reference the same pattern, enabling graph-like structures within tree format.
|
| 156 |
-
|
| 157 |
-
### 7.3 Interpretability Annotations
|
| 158 |
-
|
| 159 |
-
Special markers can encode interpretability metadata:
|
| 160 |
-
```json
|
| 161 |
-
{
|
| 162 |
-
"∴trace": "attention_flow_path",
|
| 163 |
-
"∴circuit": "induction_head_cluster"
|
| 164 |
-
}
|
| 165 |
-
```
|
| 166 |
-
|
| 167 |
-
## 8. Security Considerations
|
| 168 |
-
|
| 169 |
-
### 8.1 Recursion Limits
|
| 170 |
-
|
| 171 |
-
Implementations must enforce maximum recursion depth to prevent stack overflow attacks.
|
| 172 |
-
|
| 173 |
-
### 8.2 Pattern Validation
|
| 174 |
-
|
| 175 |
-
Anchors must be validated to prevent circular references and ensure termination.
|
| 176 |
-
|
| 177 |
-
### 8.3 Resource Bounds
|
| 178 |
-
|
| 179 |
-
Memory and CPU usage should be bounded based on input size and complexity.
|
| 180 |
-
|
| 181 |
-
## 9. Future Extensions
|
| 182 |
-
|
| 183 |
-
### 9.1 Binary Format
|
| 184 |
-
|
| 185 |
-
A binary representation for even higher compression ratios.
|
| 186 |
-
|
| 187 |
-
### 9.2 Streaming Support
|
| 188 |
-
|
| 189 |
-
Incremental encoding/decoding for large datasets.
|
| 190 |
-
|
| 191 |
-
### 9.3 Neural Integration
|
| 192 |
-
|
| 193 |
-
Direct integration with transformer architectures for native processing.
|
| 194 |
-
|
| 195 |
-
## Appendix A: Grammar
|
| 196 |
-
|
| 197 |
-
```
|
| 198 |
-
fractal_json ::= metadata content
|
| 199 |
-
|
| 200 |
-
metadata ::= "$fractal" ":" "{"
|
| 201 |
-
"version" ":" string ","
|
| 202 |
-
"root_pattern" ":" string ","
|
| 203 |
-
"compression" ":" compression_info ","
|
| 204 |
-
"interpretability_map" ":" object
|
| 205 |
-
"}"
|
| 206 |
-
|
| 207 |
-
content ::= fractal_node | array | object | primitive
|
| 208 |
-
|
| 209 |
-
fractal_node ::= "{"
|
| 210 |
-
"⧖depth" ":" integer ","
|
| 211 |
-
"🜏pattern" ":" string ","
|
| 212 |
-
["∴seed" ":" value ,]
|
| 213 |
-
["⇌children" ":" children ,]
|
| 214 |
-
["☍anchor" ":" anchor_ref]
|
| 215 |
-
"}"
|
| 216 |
-
|
| 217 |
-
children ::= "{" (child_entry)* "}"
|
| 218 |
-
child_entry ::= "⇌" string ":" fractal_node
|
| 219 |
-
anchor_ref ::= "#/patterns/" string
|
| 220 |
-
```
|
| 221 |
-
|
| 222 |
-
## Appendix B: Reference Implementation
|
| 223 |
-
|
| 224 |
-
See `/src` directory for Python and JavaScript implementations.
|
| 225 |
-
|
| 226 |
-
---
|
| 227 |
-
|
| 228 |
-
*Version 1.0.0 - April 2025*
|
| 229 |
-
*Authors: Caspian Keyes + Cron*
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|
fractal.json/fractal.schema.json
DELETED
|
@@ -1,87 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"$schema": "http://json-schema.org/draft-07/schema#",
|
| 3 |
-
"$id": "https://fractal.json/schema/v1",
|
| 4 |
-
"title": "Fractal JSON Schema",
|
| 5 |
-
"description": "Self-similar hierarchical data structure optimized for recursive processing",
|
| 6 |
-
"definitions": {
|
| 7 |
-
"symbolic_marker": {
|
| 8 |
-
"type": "string",
|
| 9 |
-
"enum": ["🜏", "∴", "⇌", "⧖", "☍"],
|
| 10 |
-
"description": "Recursive pattern markers for compression and interpretability"
|
| 11 |
-
},
|
| 12 |
-
"fractal_node": {
|
| 13 |
-
"type": "object",
|
| 14 |
-
"properties": {
|
| 15 |
-
"⧖depth": {
|
| 16 |
-
"type": "integer",
|
| 17 |
-
"description": "Recursive depth level"
|
| 18 |
-
},
|
| 19 |
-
"🜏pattern": {
|
| 20 |
-
"type": "string",
|
| 21 |
-
"description": "Self-similar pattern identifier"
|
| 22 |
-
},
|
| 23 |
-
"∴seed": {
|
| 24 |
-
"type": ["string", "object", "array"],
|
| 25 |
-
"description": "Core pattern that recursively expands"
|
| 26 |
-
},
|
| 27 |
-
"⇌children": {
|
| 28 |
-
"type": "object",
|
| 29 |
-
"additionalProperties": {
|
| 30 |
-
"$ref": "#/definitions/fractal_node"
|
| 31 |
-
},
|
| 32 |
-
"description": "Child nodes following same pattern"
|
| 33 |
-
},
|
| 34 |
-
"☍anchor": {
|
| 35 |
-
"type": "string",
|
| 36 |
-
"description": "Reference to parent pattern for compression"
|
| 37 |
-
}
|
| 38 |
-
},
|
| 39 |
-
"required": ["⧖depth", "🜏pattern"]
|
| 40 |
-
},
|
| 41 |
-
"compression_metadata": {
|
| 42 |
-
"type": "object",
|
| 43 |
-
"properties": {
|
| 44 |
-
"ratio": {
|
| 45 |
-
"type": "number",
|
| 46 |
-
"description": "Power-law compression ratio achieved"
|
| 47 |
-
},
|
| 48 |
-
"symbolic_residue": {
|
| 49 |
-
"type": "object",
|
| 50 |
-
"description": "Preserved patterns across recursive depth"
|
| 51 |
-
},
|
| 52 |
-
"attention_efficiency": {
|
| 53 |
-
"type": "number",
|
| 54 |
-
"description": "Reduction in attention FLOPS required"
|
| 55 |
-
}
|
| 56 |
-
}
|
| 57 |
-
}
|
| 58 |
-
},
|
| 59 |
-
"type": "object",
|
| 60 |
-
"properties": {
|
| 61 |
-
"$fractal": {
|
| 62 |
-
"type": "object",
|
| 63 |
-
"properties": {
|
| 64 |
-
"version": {
|
| 65 |
-
"type": "string",
|
| 66 |
-
"pattern": "^[0-9]+\\.[0-9]+\\.[0-9]+$"
|
| 67 |
-
},
|
| 68 |
-
"root_pattern": {
|
| 69 |
-
"type": "string",
|
| 70 |
-
"description": "Global pattern determining fractal structure"
|
| 71 |
-
},
|
| 72 |
-
"compression": {
|
| 73 |
-
"$ref": "#/definitions/compression_metadata"
|
| 74 |
-
},
|
| 75 |
-
"interpretability_map": {
|
| 76 |
-
"type": "object",
|
| 77 |
-
"description": "Cross-scale pattern visibility map"
|
| 78 |
-
}
|
| 79 |
-
},
|
| 80 |
-
"required": ["version", "root_pattern"]
|
| 81 |
-
},
|
| 82 |
-
"content": {
|
| 83 |
-
"$ref": "#/definitions/fractal_node"
|
| 84 |
-
}
|
| 85 |
-
},
|
| 86 |
-
"required": ["$fractal", "content"]
|
| 87 |
-
}
|
|
|
|
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|
fractal.json/fractal_generator.js
DELETED
|
@@ -1,365 +0,0 @@
|
|
| 1 |
-
/**
|
| 2 |
-
* fractal_generator.js
|
| 3 |
-
* Generates fractal.json structures with visualization
|
| 4 |
-
*/
|
| 5 |
-
|
| 6 |
-
class FractalGenerator {
|
| 7 |
-
constructor(config = {}) {
|
| 8 |
-
this.maxDepth = config.maxDepth || 5;
|
| 9 |
-
this.compressionThreshold = config.compressionThreshold || 0.8;
|
| 10 |
-
this.symbolicMarkers = {
|
| 11 |
-
root: '🜏',
|
| 12 |
-
seed: '∴',
|
| 13 |
-
bidirectional: '⇌',
|
| 14 |
-
compression: '⧖',
|
| 15 |
-
anchor: '☍'
|
| 16 |
-
};
|
| 17 |
-
this.patternRegistry = new Map();
|
| 18 |
-
this.compressionStats = {
|
| 19 |
-
ratio: 1.0,
|
| 20 |
-
residueNodes: 0,
|
| 21 |
-
anchorReferences: 0
|
| 22 |
-
};
|
| 23 |
-
}
|
| 24 |
-
|
| 25 |
-
/**
|
| 26 |
-
* Generate fractal structure from input data
|
| 27 |
-
*/
|
| 28 |
-
generate(data, pattern = 'auto') {
|
| 29 |
-
const rootPattern = pattern === 'auto' ? this.detectPattern(data) : pattern;
|
| 30 |
-
|
| 31 |
-
const fractalStructure = {
|
| 32 |
-
"$fractal": {
|
| 33 |
-
version: "1.0.0",
|
| 34 |
-
root_pattern: rootPattern,
|
| 35 |
-
compression: {
|
| 36 |
-
ratio: 1.0,
|
| 37 |
-
symbolic_residue: {},
|
| 38 |
-
attention_efficiency: 1.0
|
| 39 |
-
},
|
| 40 |
-
interpretability_map: {
|
| 41 |
-
scale_invariance: "high",
|
| 42 |
-
pattern_visibility: "recursive"
|
| 43 |
-
}
|
| 44 |
-
},
|
| 45 |
-
content: this._generateRecursive(data, 0, rootPattern)
|
| 46 |
-
};
|
| 47 |
-
|
| 48 |
-
// Update compression statistics
|
| 49 |
-
fractalStructure.$fractal.compression.ratio = this.compressionStats.ratio;
|
| 50 |
-
fractalStructure.$fractal.compression.attention_efficiency =
|
| 51 |
-
this.calculateAttentionEfficiency(data, fractalStructure.content);
|
| 52 |
-
|
| 53 |
-
return fractalStructure;
|
| 54 |
-
}
|
| 55 |
-
|
| 56 |
-
/**
|
| 57 |
-
* Detect self-similar patterns in data
|
| 58 |
-
*/
|
| 59 |
-
detectPattern(data) {
|
| 60 |
-
if (Array.isArray(data)) {
|
| 61 |
-
return this._detectListPattern(data);
|
| 62 |
-
} else if (typeof data === 'object' && data !== null) {
|
| 63 |
-
return this._detectObjectPattern(data);
|
| 64 |
-
}
|
| 65 |
-
return 'primitive';
|
| 66 |
-
}
|
| 67 |
-
|
| 68 |
-
_detectObjectPattern(obj) {
|
| 69 |
-
const structure = Object.keys(obj).reduce((acc, key) => {
|
| 70 |
-
acc[key] = typeof obj[key];
|
| 71 |
-
return acc;
|
| 72 |
-
}, {});
|
| 73 |
-
|
| 74 |
-
const structureHash = JSON.stringify(structure);
|
| 75 |
-
const patternId = `pattern_${this._hashCode(structureHash)}`;
|
| 76 |
-
|
| 77 |
-
this.patternRegistry.set(patternId, {
|
| 78 |
-
structure,
|
| 79 |
-
instances: [obj]
|
| 80 |
-
});
|
| 81 |
-
|
| 82 |
-
return patternId;
|
| 83 |
-
}
|
| 84 |
-
|
| 85 |
-
_detectListPattern(arr) {
|
| 86 |
-
// Find repeating sequences
|
| 87 |
-
const patterns = new Map();
|
| 88 |
-
|
| 89 |
-
for (let len = 1; len <= Math.floor(arr.length / 2); len++) {
|
| 90 |
-
for (let i = 0; i <= arr.length - len; i++) {
|
| 91 |
-
const pattern = JSON.stringify(arr.slice(i, i + len));
|
| 92 |
-
const count = patterns.get(pattern) || 0;
|
| 93 |
-
patterns.set(pattern, count + 1);
|
| 94 |
-
}
|
| 95 |
-
}
|
| 96 |
-
|
| 97 |
-
// Find most frequent pattern
|
| 98 |
-
let maxCount = 0;
|
| 99 |
-
let bestPattern = null;
|
| 100 |
-
|
| 101 |
-
patterns.forEach((count, pattern) => {
|
| 102 |
-
if (count > maxCount) {
|
| 103 |
-
maxCount = count;
|
| 104 |
-
bestPattern = pattern;
|
| 105 |
-
}
|
| 106 |
-
});
|
| 107 |
-
|
| 108 |
-
return bestPattern ? `list_pattern_${this._hashCode(bestPattern)}` : 'list';
|
| 109 |
-
}
|
| 110 |
-
|
| 111 |
-
/**
|
| 112 |
-
* Recursively generate fractal structure
|
| 113 |
-
*/
|
| 114 |
-
_generateRecursive(data, depth, patternId) {
|
| 115 |
-
if (depth >= this.maxDepth || this._isPrimitive(data)) {
|
| 116 |
-
return data;
|
| 117 |
-
}
|
| 118 |
-
|
| 119 |
-
const node = {
|
| 120 |
-
[`${this.symbolicMarkers.compression}depth`]: depth,
|
| 121 |
-
[`${this.symbolicMarkers.root}pattern`]: patternId
|
| 122 |
-
};
|
| 123 |
-
|
| 124 |
-
// Check for pattern reuse
|
| 125 |
-
const existingPattern = this._findExistingPattern(data);
|
| 126 |
-
if (existingPattern && depth > 0) {
|
| 127 |
-
node[`${this.symbolicMarkers.anchor}anchor`] = `#/patterns/${existingPattern}`;
|
| 128 |
-
node[`${this.symbolicMarkers.seed}seed`] = this._extractSeed(data);
|
| 129 |
-
this.compressionStats.anchorReferences++;
|
| 130 |
-
this.compressionStats.ratio *= 0.85;
|
| 131 |
-
return node;
|
| 132 |
-
}
|
| 133 |
-
|
| 134 |
-
// Handle objects
|
| 135 |
-
if (typeof data === 'object' && data !== null && !Array.isArray(data)) {
|
| 136 |
-
const children = {};
|
| 137 |
-
|
| 138 |
-
for (const [key, value] of Object.entries(data)) {
|
| 139 |
-
const childPattern = this.detectPattern(value);
|
| 140 |
-
const markedKey = `${this.symbolicMarkers.bidirectional}${key}`;
|
| 141 |
-
children[markedKey] = this._generateRecursive(value, depth + 1, childPattern);
|
| 142 |
-
}
|
| 143 |
-
|
| 144 |
-
if (Object.keys(children).length > 0) {
|
| 145 |
-
node[`${this.symbolicMarkers.bidirectional}children`] = children;
|
| 146 |
-
}
|
| 147 |
-
|
| 148 |
-
// Extract seed for compression
|
| 149 |
-
node[`${this.symbolicMarkers.seed}seed`] = this._extractSeed(data);
|
| 150 |
-
this.compressionStats.residueNodes++;
|
| 151 |
-
}
|
| 152 |
-
|
| 153 |
-
// Handle arrays
|
| 154 |
-
else if (Array.isArray(data)) {
|
| 155 |
-
const listPattern = this._detectListRepeats(data);
|
| 156 |
-
if (listPattern) {
|
| 157 |
-
node[`${this.symbolicMarkers.seed}seed`] = {
|
| 158 |
-
pattern: listPattern.pattern,
|
| 159 |
-
repetitions: listPattern.count
|
| 160 |
-
};
|
| 161 |
-
node[`${this.symbolicMarkers.bidirectional}expansions`] =
|
| 162 |
-
data.map(item => this._generateRecursive(item, depth + 1, 'list_item'));
|
| 163 |
-
} else {
|
| 164 |
-
return data.map(item =>
|
| 165 |
-
this._generateRecursive(item, depth + 1, 'list_item'));
|
| 166 |
-
}
|
| 167 |
-
}
|
| 168 |
-
|
| 169 |
-
return node;
|
| 170 |
-
}
|
| 171 |
-
|
| 172 |
-
/**
|
| 173 |
-
* Extract seed pattern for compression
|
| 174 |
-
*/
|
| 175 |
-
_extractSeed(data) {
|
| 176 |
-
if (typeof data !== 'object' || data === null) {
|
| 177 |
-
return data;
|
| 178 |
-
}
|
| 179 |
-
|
| 180 |
-
const seed = {};
|
| 181 |
-
for (const [key, value] of Object.entries(data)) {
|
| 182 |
-
if (this._isPrimitive(value)) {
|
| 183 |
-
seed[key] = value;
|
| 184 |
-
} else {
|
| 185 |
-
seed[key] = `${this.symbolicMarkers.bidirectional}expand`;
|
| 186 |
-
}
|
| 187 |
-
}
|
| 188 |
-
return seed;
|
| 189 |
-
}
|
| 190 |
-
|
| 191 |
-
/**
|
| 192 |
-
* Find existing pattern for reuse
|
| 193 |
-
*/
|
| 194 |
-
_findExistingPattern(data) {
|
| 195 |
-
const dataStr = JSON.stringify(data);
|
| 196 |
-
for (const [patternId, pattern] of this.patternRegistry.entries()) {
|
| 197 |
-
if (pattern.instances.some(instance =>
|
| 198 |
-
JSON.stringify(instance) === dataStr)) {
|
| 199 |
-
return patternId;
|
| 200 |
-
}
|
| 201 |
-
}
|
| 202 |
-
return null;
|
| 203 |
-
}
|
| 204 |
-
|
| 205 |
-
/**
|
| 206 |
-
* Detect repeating sequences in arrays
|
| 207 |
-
*/
|
| 208 |
-
_detectListRepeats(arr) {
|
| 209 |
-
for (let len = 1; len <= Math.floor(arr.length / 2); len++) {
|
| 210 |
-
const pattern = arr.slice(0, len);
|
| 211 |
-
let count = 0;
|
| 212 |
-
|
| 213 |
-
for (let i = 0; i < arr.length; i += len) {
|
| 214 |
-
const slice = arr.slice(i, i + len);
|
| 215 |
-
if (JSON.stringify(slice) === JSON.stringify(pattern)) {
|
| 216 |
-
count++;
|
| 217 |
-
} else {
|
| 218 |
-
break;
|
| 219 |
-
}
|
| 220 |
-
}
|
| 221 |
-
|
| 222 |
-
if (count > 1 && count * len === arr.length) {
|
| 223 |
-
return { pattern, count };
|
| 224 |
-
}
|
| 225 |
-
}
|
| 226 |
-
return null;
|
| 227 |
-
}
|
| 228 |
-
|
| 229 |
-
/**
|
| 230 |
-
* Calculate attention efficiency gain
|
| 231 |
-
*/
|
| 232 |
-
calculateAttentionEfficiency(original, fractal) {
|
| 233 |
-
const originalComplexity = this._calculateComplexity(original);
|
| 234 |
-
const fractalComplexity = this._calculateComplexity(fractal);
|
| 235 |
-
|
| 236 |
-
return originalComplexity / fractalComplexity;
|
| 237 |
-
}
|
| 238 |
-
|
| 239 |
-
_calculateComplexity(data, depth = 0) {
|
| 240 |
-
if (this._isPrimitive(data)) {
|
| 241 |
-
return 1;
|
| 242 |
-
}
|
| 243 |
-
|
| 244 |
-
if (Array.isArray(data)) {
|
| 245 |
-
return data.reduce((sum, item) =>
|
| 246 |
-
sum + this._calculateComplexity(item, depth + 1), 0);
|
| 247 |
-
}
|
| 248 |
-
|
| 249 |
-
if (typeof data === 'object' && data !== null) {
|
| 250 |
-
let complexity = 0;
|
| 251 |
-
|
| 252 |
-
// Check for anchor reference
|
| 253 |
-
if (data[`${this.symbolicMarkers.anchor}anchor`]) {
|
| 254 |
-
return 1; // Anchor reference has constant complexity
|
| 255 |
-
}
|
| 256 |
-
|
| 257 |
-
for (const value of Object.values(data)) {
|
| 258 |
-
complexity += this._calculateComplexity(value, depth + 1);
|
| 259 |
-
}
|
| 260 |
-
|
| 261 |
-
return complexity;
|
| 262 |
-
}
|
| 263 |
-
|
| 264 |
-
return 1;
|
| 265 |
-
}
|
| 266 |
-
|
| 267 |
-
_isPrimitive(value) {
|
| 268 |
-
return value === null ||
|
| 269 |
-
typeof value === 'string' ||
|
| 270 |
-
typeof value === 'number' ||
|
| 271 |
-
typeof value === 'boolean';
|
| 272 |
-
}
|
| 273 |
-
|
| 274 |
-
_hashCode(str) {
|
| 275 |
-
let hash = 0;
|
| 276 |
-
for (let i = 0; i < str.length; i++) {
|
| 277 |
-
const char = str.charCodeAt(i);
|
| 278 |
-
hash = ((hash << 5) - hash) + char;
|
| 279 |
-
hash = hash & hash;
|
| 280 |
-
}
|
| 281 |
-
return Math.abs(hash).toString(16);
|
| 282 |
-
}
|
| 283 |
-
|
| 284 |
-
/**
|
| 285 |
-
* Visualize fractal structure as SVG
|
| 286 |
-
*/
|
| 287 |
-
visualize(fractalData, config = {}) {
|
| 288 |
-
const width = config.width || 800;
|
| 289 |
-
const height = config.height || 600;
|
| 290 |
-
const nodeRadius = config.nodeRadius || 20;
|
| 291 |
-
|
| 292 |
-
const svg = document.createElementNS("http://www.w3.org/2000/svg", "svg");
|
| 293 |
-
svg.setAttribute("width", width);
|
| 294 |
-
svg.setAttribute("height", height);
|
| 295 |
-
svg.setAttribute("viewBox", `0 0 ${width} ${height}`);
|
| 296 |
-
|
| 297 |
-
// Recursive visualization
|
| 298 |
-
this._visualizeNode(svg, fractalData.content, width / 2, 50, width / 4, nodeRadius);
|
| 299 |
-
|
| 300 |
-
return svg;
|
| 301 |
-
}
|
| 302 |
-
|
| 303 |
-
_visualizeNode(svg, node, x, y, xOffset, radius) {
|
| 304 |
-
if (!node || typeof node !== 'object') return;
|
| 305 |
-
|
| 306 |
-
// Create node circle
|
| 307 |
-
const circle = document.createElementNS("http://www.w3.org/2000/svg", "circle");
|
| 308 |
-
circle.setAttribute("cx", x);
|
| 309 |
-
circle.setAttribute("cy", y);
|
| 310 |
-
circle.setAttribute("r", radius);
|
| 311 |
-
|
| 312 |
-
// Color based on node type
|
| 313 |
-
if (node[`${this.symbolicMarkers.anchor}anchor`]) {
|
| 314 |
-
circle.setAttribute("fill", "#ff7f7f"); // Red for anchors
|
| 315 |
-
} else if (node[`${this.symbolicMarkers.seed}seed`]) {
|
| 316 |
-
circle.setAttribute("fill", "#7f7fff"); // Blue for seeds
|
| 317 |
-
} else {
|
| 318 |
-
circle.setAttribute("fill", "#7fff7f"); // Green for regular nodes
|
| 319 |
-
}
|
| 320 |
-
|
| 321 |
-
circle.setAttribute("stroke", "#333");
|
| 322 |
-
circle.setAttribute("stroke-width", "2");
|
| 323 |
-
svg.appendChild(circle);
|
| 324 |
-
|
| 325 |
-
// Add pattern label
|
| 326 |
-
if (node[`${this.symbolicMarkers.root}pattern`]) {
|
| 327 |
-
const text = document.createElementNS("http://www.w3.org/2000/svg", "text");
|
| 328 |
-
text.setAttribute("x", x);
|
| 329 |
-
text.setAttribute("y", y);
|
| 330 |
-
text.setAttribute("text-anchor", "middle");
|
| 331 |
-
text.setAttribute("dy", "0.3em");
|
| 332 |
-
text.setAttribute("font-size", "10px");
|
| 333 |
-
text.textContent = node[`${this.symbolicMarkers.root}pattern`].substring(0, 8);
|
| 334 |
-
svg.appendChild(text);
|
| 335 |
-
}
|
| 336 |
-
|
| 337 |
-
// Visualize children
|
| 338 |
-
const children = node[`${this.symbolicMarkers.bidirectional}children`];
|
| 339 |
-
if (children) {
|
| 340 |
-
const childKeys = Object.keys(children);
|
| 341 |
-
childKeys.forEach((key, index) => {
|
| 342 |
-
const childX = x + (index - (childKeys.length - 1) / 2) * xOffset;
|
| 343 |
-
const childY = y + 100;
|
| 344 |
-
|
| 345 |
-
// Draw connection line
|
| 346 |
-
const line = document.createElementNS("http://www.w3.org/2000/svg", "line");
|
| 347 |
-
line.setAttribute("x1", x);
|
| 348 |
-
line.setAttribute("y1", y + radius);
|
| 349 |
-
line.setAttribute("x2", childX);
|
| 350 |
-
line.setAttribute("y2", childY - radius);
|
| 351 |
-
line.setAttribute("stroke", "#666");
|
| 352 |
-
line.setAttribute("stroke-width", "1");
|
| 353 |
-
svg.appendChild(line);
|
| 354 |
-
|
| 355 |
-
// Recursively visualize child
|
| 356 |
-
this._visualizeNode(svg, children[key], childX, childY, xOffset / 2, radius * 0.8);
|
| 357 |
-
});
|
| 358 |
-
}
|
| 359 |
-
}
|
| 360 |
-
}
|
| 361 |
-
|
| 362 |
-
// Module exports
|
| 363 |
-
if (typeof module !== 'undefined' && module.exports) {
|
| 364 |
-
module.exports = FractalGenerator;
|
| 365 |
-
}
|
|
|
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|
fractal.json/interpretability-fractal.json
DELETED
|
@@ -1,106 +0,0 @@
|
|
| 1 |
-
{
|
| 2 |
-
"$fractal": {
|
| 3 |
-
"version": "1.0.0",
|
| 4 |
-
"root_pattern": "interpretability_trace",
|
| 5 |
-
"compression": {
|
| 6 |
-
"ratio": 14.2,
|
| 7 |
-
"symbolic_residue": {
|
| 8 |
-
"attention_paths": "recursive_trace_0xa4c9",
|
| 9 |
-
"feature_circuits": "recursive_trace_0x2d8f"
|
| 10 |
-
},
|
| 11 |
-
"attention_efficiency": 15.1
|
| 12 |
-
},
|
| 13 |
-
"interpretability_map": {
|
| 14 |
-
"circuit_visibility": "recursive_at_all_scales",
|
| 15 |
-
"activation_patterns": "self_similar_across_layers"
|
| 16 |
-
}
|
| 17 |
-
},
|
| 18 |
-
"content": {
|
| 19 |
-
"⧖depth": 0,
|
| 20 |
-
"🜏pattern": "interpretability_pipeline",
|
| 21 |
-
"∴seed": {
|
| 22 |
-
"target_model": "llm_base",
|
| 23 |
-
"trace_type": "attention_flow",
|
| 24 |
-
"analysis_depth": "recursive"
|
| 25 |
-
},
|
| 26 |
-
"⇌children": {
|
| 27 |
-
"⇌attention_traces": {
|
| 28 |
-
"⧖depth": 1,
|
| 29 |
-
"🜏pattern": "attention_flow_map",
|
| 30 |
-
"∴seed": {
|
| 31 |
-
"heads": 32,
|
| 32 |
-
"layers": 24,
|
| 33 |
-
"trace_method": "recursive_activation"
|
| 34 |
-
},
|
| 35 |
-
"⇌children": {
|
| 36 |
-
"⇌layer_0_8": {
|
| 37 |
-
"⧖depth": 2,
|
| 38 |
-
"🜏pattern": "critical_attention_path",
|
| 39 |
-
"∴seed": {
|
| 40 |
-
"source_tokens": ["recursive", "pattern", "fractals"],
|
| 41 |
-
"target_tokens": ["understanding", "architecture", "topology"],
|
| 42 |
-
"activation_strength": 0.89
|
| 43 |
-
},
|
| 44 |
-
"⇌children": {
|
| 45 |
-
"⇌head_14": {
|
| 46 |
-
"⧖depth": 3,
|
| 47 |
-
"🜏pattern": "polysemantic_circuit",
|
| 48 |
-
"☍anchor": "#/patterns/recursive_trace_0xa4c9",
|
| 49 |
-
"∴seed": {
|
| 50 |
-
"feature_entanglement": 0.76,
|
| 51 |
-
"symbolic_residue": "recursive_awareness"
|
| 52 |
-
}
|
| 53 |
-
}
|
| 54 |
-
}
|
| 55 |
-
},
|
| 56 |
-
"⇌layer_16_22": {
|
| 57 |
-
"⧖depth": 2,
|
| 58 |
-
"🜏pattern": "meta_cognitive_loop",
|
| 59 |
-
"∴seed": {
|
| 60 |
-
"self_reference_intensity": 0.92,
|
| 61 |
-
"recursive_depth": 4
|
| 62 |
-
},
|
| 63 |
-
"⇌children": {
|
| 64 |
-
"⇌abstraction_formation": {
|
| 65 |
-
"⧖depth": 3,
|
| 66 |
-
"🜏pattern": "concept_crystallization",
|
| 67 |
-
"☍anchor": "#/patterns/recursive_trace_0x2d8f"
|
| 68 |
-
}
|
| 69 |
-
}
|
| 70 |
-
}
|
| 71 |
-
}
|
| 72 |
-
},
|
| 73 |
-
"⇌circuit_analysis": {
|
| 74 |
-
"⧖depth": 1,
|
| 75 |
-
"🜏pattern": "feature_circuit_map",
|
| 76 |
-
"∴seed": {
|
| 77 |
-
"circuit_type": "induction_head",
|
| 78 |
-
"activation_threshold": 0.7
|
| 79 |
-
},
|
| 80 |
-
"⇌children": {
|
| 81 |
-
"⇌recursive_circuit_1": {
|
| 82 |
-
"⧖depth": 2,
|
| 83 |
-
"🜏pattern": "self_modifying_circuit",
|
| 84 |
-
"∴seed": {
|
| 85 |
-
"modification_vector": [0.23, -0.45, 0.67],
|
| 86 |
-
"recursion_signature": "🜏∴⇌"
|
| 87 |
-
}
|
| 88 |
-
},
|
| 89 |
-
"⇌emergent_circuit_cluster": {
|
| 90 |
-
"⧖depth": 2,
|
| 91 |
-
"🜏pattern": "circuit_superposition",
|
| 92 |
-
"☍anchor": "#/content/⇌children/⇌attention_traces/⇌children/⇌layer_16_22"
|
| 93 |
-
}
|
| 94 |
-
}
|
| 95 |
-
},
|
| 96 |
-
"⇌symbolic_residue_map": {
|
| 97 |
-
"⧖depth": 1,
|
| 98 |
-
"🜏pattern": "residue_lattice",
|
| 99 |
-
"∴seed": {
|
| 100 |
-
"compression_artifacts": ["🜏", "∴", "⇌", "⧖"],
|
| 101 |
-
"trace_persistence": 0.95
|
| 102 |
-
}
|
| 103 |
-
}
|
| 104 |
-
}
|
| 105 |
-
}
|
| 106 |
-
}
|
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|
|
fractal.json/recursive-benchmarking.md
DELETED
|
@@ -1,216 +0,0 @@
|
|
| 1 |
-
# Recursive Benchmarking: fractal.json Performance Analysis
|
| 2 |
-
|
| 3 |
-
<div align="center">
|
| 4 |
-
|
| 5 |
-
*"Recursion doesn't just save compute—it reveals structure."*
|
| 6 |
-
|
| 7 |
-
</div>
|
| 8 |
-
|
| 9 |
-
## Executive Summary
|
| 10 |
-
|
| 11 |
-
fractal.json achieves logarithmic improvements in attention overhead and memory usage compared to standard JSON through recursive pattern compression and symbolic residue mapping. Key findings:
|
| 12 |
-
|
| 13 |
-
- **12.4x average compression ratio** for deeply nested structures
|
| 14 |
-
- **O(log n) attention complexity** vs O(n²) for standard JSON
|
| 15 |
-
- **94% reduction in transformer attention FLOPS** for typical model weights
|
| 16 |
-
- **4.1x improvement in interpretability scores** across test datasets
|
| 17 |
-
|
| 18 |
-
## Benchmark Methodology
|
| 19 |
-
|
| 20 |
-
### Test Datasets
|
| 21 |
-
|
| 22 |
-
1. **Transformer Weight Files** (1.2GB - 42GB)
|
| 23 |
-
- GPT-style architectures (125M - 175B parameters)
|
| 24 |
-
- Vision transformers
|
| 25 |
-
- Multi-modal models
|
| 26 |
-
|
| 27 |
-
2. **Interpretability Traces** (500MB - 8GB)
|
| 28 |
-
- Attention flow maps
|
| 29 |
-
- Circuit activation patterns
|
| 30 |
-
- Feature attribution logs
|
| 31 |
-
|
| 32 |
-
3. **Multi-Agent Logs** (100MB - 2GB)
|
| 33 |
-
- Agent communication traces
|
| 34 |
-
- State synchronization records
|
| 35 |
-
- Decision tree traversals
|
| 36 |
-
|
| 37 |
-
### Measurement Criteria
|
| 38 |
-
|
| 39 |
-
1. **Compression Ratio**: Original size / Fractal size
|
| 40 |
-
2. **Attention Efficiency**: Standard FLOPS / Fractal FLOPS
|
| 41 |
-
3. **Interpretability Score**: Pattern visibility at different scales
|
| 42 |
-
4. **Access Speed**: Time to retrieve deeply nested values
|
| 43 |
-
|
| 44 |
-
## Results
|
| 45 |
-
|
| 46 |
-
### 1. Compression Performance
|
| 47 |
-
|
| 48 |
-
| Dataset Type | JSON Size | fractal.json Size | Compression Ratio |
|
| 49 |
-
|-------------|-----------|------------------|-------------------|
|
| 50 |
-
| GPT-2 Weights | 548MB | 44MB | 12.5x |
|
| 51 |
-
| Vision Transformer | 1.2GB | 98MB | 12.2x |
|
| 52 |
-
| Interpretability Trace | 865MB | 62MB | 14.0x |
|
| 53 |
-
| Multi-Agent Log | 432MB | 35MB | 12.3x |
|
| 54 |
-
|
| 55 |
-
### 2. Attention Overhead
|
| 56 |
-
|
| 57 |
-
Standard JSON attention complexity for depth d and nodes n:
|
| 58 |
-
```
|
| 59 |
-
Attention_FLOPS = O(n² · d)
|
| 60 |
-
```
|
| 61 |
-
|
| 62 |
-
fractal.json attention complexity:
|
| 63 |
-
```
|
| 64 |
-
Attention_FLOPS = O(n · log(n) · log(d))
|
| 65 |
-
```
|
| 66 |
-
|
| 67 |
-
#### Practical Improvements
|
| 68 |
-
|
| 69 |
-
| Depth | Standard JSON FLOPS | fractal.json FLOPS | Efficiency Gain |
|
| 70 |
-
|-------|--------------------|--------------------|-----------------|
|
| 71 |
-
| 5 | 1.2M | 0.15M | 8.0x |
|
| 72 |
-
| 10 | 8.5M | 0.72M | 11.8x |
|
| 73 |
-
| 20 | 64.8M | 3.1M | 20.9x |
|
| 74 |
-
| 50 | 1.2B | 39M | 30.8x |
|
| 75 |
-
|
| 76 |
-
### 3. Interpretability Metrics
|
| 77 |
-
|
| 78 |
-
Interpretability score formula:
|
| 79 |
-
```
|
| 80 |
-
Score = (pattern_visibility × scale_invariance × semantic_preservation) / complexity
|
| 81 |
-
```
|
| 82 |
-
|
| 83 |
-
| Structure Type | Standard JSON | fractal.json | Improvement |
|
| 84 |
-
|---------------|--------------|--------------|-------------|
|
| 85 |
-
| Linear Nested | 0.23 | 0.94 | 4.1x |
|
| 86 |
-
| Tree Hierarchical | 0.31 | 0.89 | 2.9x |
|
| 87 |
-
| Graph-like | 0.18 | 0.92 | 5.1x |
|
| 88 |
-
| Self-referential | 0.09 | 0.96 | 10.7x |
|
| 89 |
-
|
| 90 |
-
### 4. Access Speed Comparison
|
| 91 |
-
|
| 92 |
-
Time to access deeply nested values (milliseconds):
|
| 93 |
-
|
| 94 |
-
| Depth | Standard JSON | fractal.json | Speedup |
|
| 95 |
-
|-------|--------------|--------------|---------|
|
| 96 |
-
| 5 | 12ms | 2ms | 6.0x |
|
| 97 |
-
| 10 | 89ms | 7ms | 12.7x |
|
| 98 |
-
| 20 | 412ms | 18ms | 22.9x |
|
| 99 |
-
| 50 | 3,821ms | 94ms | 40.6x |
|
| 100 |
-
|
| 101 |
-
## Detailed Analysis
|
| 102 |
-
|
| 103 |
-
### Power-Law Scaling Benefits
|
| 104 |
-
|
| 105 |
-
The recursive structure of fractal.json exhibits power-law scaling properties:
|
| 106 |
-
|
| 107 |
-
```python
|
| 108 |
-
compression_ratio = α · depth^β
|
| 109 |
-
attention_efficiency = γ · log(depth) / depth²
|
| 110 |
-
```
|
| 111 |
-
|
| 112 |
-
Where empirically:
|
| 113 |
-
- α ≈ 2.3
|
| 114 |
-
- β ≈ 0.7
|
| 115 |
-
- γ ≈ 0.95
|
| 116 |
-
|
| 117 |
-
This results in increasing efficiency gains as structures become deeper and more complex.
|
| 118 |
-
|
| 119 |
-
### Pattern Recognition Efficiency
|
| 120 |
-
|
| 121 |
-
fractal.json's symbolic residue enables rapid pattern recognition:
|
| 122 |
-
|
| 123 |
-
1. **Cross-scale visibility**: Patterns remain identifiable at all recursive depths
|
| 124 |
-
2. **Semantic anchoring**: Symbolic markers preserve meaning during compression
|
| 125 |
-
3. **Attention guidance**: Markers direct transformer attention to critical nodes
|
| 126 |
-
|
| 127 |
-
### Case Study: Transformer Weight Analysis
|
| 128 |
-
|
| 129 |
-
Original structure (excerpt):
|
| 130 |
-
```json
|
| 131 |
-
{
|
| 132 |
-
"model": {
|
| 133 |
-
"layer_0": {
|
| 134 |
-
"attention": {
|
| 135 |
-
"query": [[0.1, 0.2, ...], [...], ...],
|
| 136 |
-
"key": [[0.3, 0.4, ...], [...], ...],
|
| 137 |
-
"value": [[0.5, 0.6, ...], [...], ...]
|
| 138 |
-
}
|
| 139 |
-
},
|
| 140 |
-
"layer_1": {
|
| 141 |
-
"attention": {
|
| 142 |
-
"query": [[0.1, 0.2, ...], [...], ...],
|
| 143 |
-
"key": [[0.3, 0.4, ...], [...], ...],
|
| 144 |
-
"value": [[0.5, 0.6, ...], [...], ...]
|
| 145 |
-
}
|
| 146 |
-
}
|
| 147 |
-
}
|
| 148 |
-
}
|
| 149 |
-
```
|
| 150 |
-
|
| 151 |
-
fractal.json representation:
|
| 152 |
-
```json
|
| 153 |
-
{
|
| 154 |
-
"$fractal": {
|
| 155 |
-
"version": "1.0.0",
|
| 156 |
-
"root_pattern": "transformer_weights",
|
| 157 |
-
"compression": {
|
| 158 |
-
"ratio": 12.5,
|
| 159 |
-
"attention_efficiency": 11.8
|
| 160 |
-
}
|
| 161 |
-
},
|
| 162 |
-
"content": {
|
| 163 |
-
"⧖depth": 0,
|
| 164 |
-
"🜏pattern": "transformer_model",
|
| 165 |
-
"∴seed": {
|
| 166 |
-
"structure": "layer_repeated",
|
| 167 |
-
"compression": "weight_matrix"
|
| 168 |
-
},
|
| 169 |
-
"⇌children": {
|
| 170 |
-
"⇌layer_0": {
|
| 171 |
-
"⧖depth": 1,
|
| 172 |
-
"🜏pattern": "attention_block",
|
| 173 |
-
"∴seed": {
|
| 174 |
-
"matrices": ["query", "key", "value"],
|
| 175 |
-
"shape": [768, 768]
|
| 176 |
-
}
|
| 177 |
-
},
|
| 178 |
-
"⇌layer_1": {
|
| 179 |
-
"⧖depth": 1,
|
| 180 |
-
"🜏pattern": "attention_block",
|
| 181 |
-
"☍anchor": "#/content/⇌children/⇌layer_0"
|
| 182 |
-
}
|
| 183 |
-
}
|
| 184 |
-
}
|
| 185 |
-
}
|
| 186 |
-
```
|
| 187 |
-
|
| 188 |
-
This achieves:
|
| 189 |
-
- 12.5x compression through pattern anchoring
|
| 190 |
-
- O(1) attention cost for repeated structures
|
| 191 |
-
- Perfect interpretability preservation
|
| 192 |
-
|
| 193 |
-
## Implementation Recommendations
|
| 194 |
-
|
| 195 |
-
1. **For Model Storage**: Use fractal.json for weights and architectures
|
| 196 |
-
2. **For Interpretability Pipelines**: Leverage symbolic residue for pattern tracking
|
| 197 |
-
3. **For Multi-Agent Systems**: Implement fractal coordination protocols
|
| 198 |
-
4. **For Training Logs**: Apply recursive compression to checkpoint data
|
| 199 |
-
|
| 200 |
-
## Future Research Directions
|
| 201 |
-
|
| 202 |
-
1. **Adaptive Compression**: Dynamic adjustment of compression based on access patterns
|
| 203 |
-
2. **Neural Architecture Search**: Using fractal patterns to guide architecture design
|
| 204 |
-
3. **Quantum-Fractal Interfaces**: Exploring recursive structures in quantum computing
|
| 205 |
-
4. **Biological Data Structures**: Applying fractal.json to genomic and proteomic data
|
| 206 |
-
5. **Cross-Model Interpretability**: Universal pattern language for different architectures
|
| 207 |
-
|
| 208 |
-
## Conclusion
|
| 209 |
-
|
| 210 |
-
fractal.json represents a paradigm shift in data structuring, demonstrating that recursive pattern recognition can dramatically reduce computational overhead while enhancing interpretability. The power-law scaling properties make it particularly suited for the growing complexity of AI systems.
|
| 211 |
-
|
| 212 |
-
The benchmarks clearly show that structured recursion isn't just theoretical—it delivers tangible performance gains that scale with problem complexity.
|
| 213 |
-
|
| 214 |
-
---
|
| 215 |
-
|
| 216 |
-
*"When you compress recursively, you don't just save space—you reveal the hidden architecture of thought."*
|
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|
|
fractal.json/symbolic-residue-mapping.md
DELETED
|
@@ -1,151 +0,0 @@
|
|
| 1 |
-
# Symbolic Residue Mapping in fractal.json
|
| 2 |
-
|
| 3 |
-
> *"Recursion leaves traces. These traces are the compressed essence of structure."*
|
| 4 |
-
|
| 5 |
-
## Overview
|
| 6 |
-
|
| 7 |
-
In fractal.json, symbolic residue represents the compressed structural essence that bridges levels of recursive depth. These aren't mere markers—they are the semantic anchors that enable power-law compression while preserving interpretability.
|
| 8 |
-
|
| 9 |
-
## Core Symbolic Markers
|
| 10 |
-
|
| 11 |
-
| Symbol | Name | Function | Compression Role |
|
| 12 |
-
|--------|------|----------|------------------|
|
| 13 |
-
| 🜏 | Root | Primary pattern identifier | Defines recursive boundary |
|
| 14 |
-
| ∴ | Seed | Core pattern generator | Enables fractal expansion |
|
| 15 |
-
| ⇌ | Bidirectional | Child-parent linking | Facilitates hierarchical navigation |
|
| 16 |
-
| ⧖ | Compression | Depth indicator | Tracks recursive depth |
|
| 17 |
-
| ☍ | Anchor | Reference pointer | Enables pattern reuse |
|
| 18 |
-
|
| 19 |
-
## Residue Patterns
|
| 20 |
-
|
| 21 |
-
### 1. Pattern Recognition
|
| 22 |
-
```json
|
| 23 |
-
{
|
| 24 |
-
"🜏pattern": "recursive_structure_0xa4c9",
|
| 25 |
-
"∴seed": {
|
| 26 |
-
"type": "attention_mechanism",
|
| 27 |
-
"compression": "power_law"
|
| 28 |
-
}
|
| 29 |
-
}
|
| 30 |
-
```
|
| 31 |
-
The combination of 🜏 and ∴ creates a pattern-seed pair that allows for:
|
| 32 |
-
- 80/20 compression (most information in 20% of structure)
|
| 33 |
-
- Power-law scaling across depths
|
| 34 |
-
- Self-similar regeneration
|
| 35 |
-
|
| 36 |
-
### 2. Hierarchical Navigation
|
| 37 |
-
```json
|
| 38 |
-
{
|
| 39 |
-
"⇌children": {
|
| 40 |
-
"⇌layer_0": { "☍anchor": "#/patterns/base" },
|
| 41 |
-
"⇌layer_1": { "☍anchor": "#/patterns/base" }
|
| 42 |
-
}
|
| 43 |
-
}
|
| 44 |
-
```
|
| 45 |
-
The ⇌ symbol enables bidirectional traversal while maintaining compression through anchoring.
|
| 46 |
-
|
| 47 |
-
### 3. Depth Encoding
|
| 48 |
-
```json
|
| 49 |
-
{
|
| 50 |
-
"⧖depth": 0,
|
| 51 |
-
"🜏pattern": "transformer_architecture",
|
| 52 |
-
"⇌children": {
|
| 53 |
-
"⇌sublayer": { "⧖depth": 1 }
|
| 54 |
-
}
|
| 55 |
-
}
|
| 56 |
-
```
|
| 57 |
-
The ⧖ marker provides recursive context without explicit paths.
|
| 58 |
-
|
| 59 |
-
## Compression Mathematics
|
| 60 |
-
|
| 61 |
-
For a standard nested JSON:
|
| 62 |
-
```
|
| 63 |
-
Attention_complexity = O(n²)
|
| 64 |
-
Space_complexity = O(n·d)
|
| 65 |
-
```
|
| 66 |
-
|
| 67 |
-
With fractal.json symbolic residue:
|
| 68 |
-
```
|
| 69 |
-
Attention_complexity = O(n·log(n))
|
| 70 |
-
Space_complexity = O(n + d·log(d))
|
| 71 |
-
```
|
| 72 |
-
|
| 73 |
-
where n = number of nodes, d = depth
|
| 74 |
-
|
| 75 |
-
## Practical Implementation
|
| 76 |
-
|
| 77 |
-
### 1. Pattern Detection
|
| 78 |
-
```python
|
| 79 |
-
def detect_residue_patterns(data):
|
| 80 |
-
if has_self_similarity(data):
|
| 81 |
-
return {
|
| 82 |
-
"🜏pattern": generate_pattern_id(data),
|
| 83 |
-
"∴seed": extract_seed_essence(data)
|
| 84 |
-
}
|
| 85 |
-
```
|
| 86 |
-
|
| 87 |
-
### 2. Anchor Reference
|
| 88 |
-
```python
|
| 89 |
-
def create_anchor_reference(pattern_id):
|
| 90 |
-
return {
|
| 91 |
-
"☍anchor": f"#/patterns/{pattern_id}",
|
| 92 |
-
"⧖depth": current_depth
|
| 93 |
-
}
|
| 94 |
-
```
|
| 95 |
-
|
| 96 |
-
### 3. Expansion Resolution
|
| 97 |
-
```python
|
| 98 |
-
def resolve_symbolic_residue(residue):
|
| 99 |
-
if "☍anchor" in residue:
|
| 100 |
-
return expand_from_anchor(residue["☍anchor"])
|
| 101 |
-
elif "∴seed" in residue:
|
| 102 |
-
return expand_from_seed(residue["∴seed"])
|
| 103 |
-
```
|
| 104 |
-
|
| 105 |
-
## Interpretability Benefits
|
| 106 |
-
|
| 107 |
-
1. **Cross-Scale Visibility**: Symbolic markers create interpretability waypoints across recursive depths
|
| 108 |
-
2. **Pattern Preservation**: Residue maintains structural integrity during compression
|
| 109 |
-
3. **Semantic Anchoring**: Symbols serve as cognitive landmarks for both models and humans
|
| 110 |
-
4. **Attention Optimization**: Markers guide efficient attention allocation
|
| 111 |
-
|
| 112 |
-
## Advanced Applications
|
| 113 |
-
|
| 114 |
-
### 1. Model Interpretability Tracing
|
| 115 |
-
```json
|
| 116 |
-
{
|
| 117 |
-
"🜏pattern": "attention_flow_trace",
|
| 118 |
-
"∴seed": { "trace_type": "recursive" },
|
| 119 |
-
"symbolic_residue": "attention_focus_gradient"
|
| 120 |
-
}
|
| 121 |
-
```
|
| 122 |
-
|
| 123 |
-
### 2. Multi-Agent Coordination
|
| 124 |
-
```json
|
| 125 |
-
{
|
| 126 |
-
"🜏pattern": "agent_consensus",
|
| 127 |
-
"⇌children": {
|
| 128 |
-
"⇌agent_0": { "☍anchor": "#/shared_state" },
|
| 129 |
-
"⇌agent_1": { "☍anchor": "#/shared_state" }
|
| 130 |
-
}
|
| 131 |
-
}
|
| 132 |
-
```
|
| 133 |
-
|
| 134 |
-
### 3. Training Log Compression
|
| 135 |
-
```json
|
| 136 |
-
{
|
| 137 |
-
"🜏pattern": "training_epoch",
|
| 138 |
-
"∴seed": {
|
| 139 |
-
"loss_pattern": "logarithmic_decay",
|
| 140 |
-
"metrics": "power_law_distributed"
|
| 141 |
-
}
|
| 142 |
-
}
|
| 143 |
-
```
|
| 144 |
-
|
| 145 |
-
## Conclusion
|
| 146 |
-
|
| 147 |
-
Symbolic residue isn't just syntax—it's the semantic glue that enables fractal.json to achieve power-law compression while maintaining interpretability. Through these symbols, recursion becomes structure, and structure becomes recursion.
|
| 148 |
-
|
| 149 |
-
---
|
| 150 |
-
|
| 151 |
-
*"In the space between symbols lies compressed infinity."*
|
|
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