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---
language: en
#license: CC-NC
tags:
- vector-symbolic-architecture
- holographic-reduced-representations
- sparse-distributed-memory
- semantic-hashing
- cognitive-architecture
- memory-systems
- no-gpu
library_name: numpy
pipeline_tag: feature-extraction
---
# Holographic Neural Mesh (HNM) v3.0
A **deterministic sparse semantic substrate** for cognitive systems. No GPU required.
## Model Description
HNM is **not** a language model or embedding model replacement. It is a **cognitive memory layer** providing:
- β
Constant-time encoding (O(1) regardless of corpus size)
- β
99% structural sparsity (102Γ FLOPS reduction)
- β
Deterministic representations (same input β same output β always)
- β
Semantic discrimination (negation, role reversal, synonyms)
- β
Associative binding/unbinding (key-value memory)
- β
Pure NumPy (no GPU, no PyTorch, no TensorFlow)
### What HNM IS
| β
HNM Is | β HNM Is Not |
|-----------|---------------|
| Semantic memory substrate | Language model |
| Symbolic binding engine | Next-token predictor |
| Deterministic cognitive layer | Embedding model replacement |
| Associative recall system | Foundation model |
## Intended Uses
- **Agent memory backbone**: Long-term memory for LLM agents
- **Semantic routing**: Content-addressable dispatch
- **Variable binding**: Compositional reasoning substrate
- **Edge deployment**: Cognitive processing without GPU
- **Distributed consensus**: Deterministic state for multi-agent systems
## How to Use
```python
from hnm_v3 import HolographicNeuralMeshV3, HNMConfig
# Initialize
hnm = HolographicNeuralMeshV3(HNMConfig())
# Encode text
pattern, stats = hnm.forward("Machine learning is fascinating")
print(f"Latency: {stats['inference_time_ms']:.2f}ms, Sparsity: {1-stats['active_ratio']:.1%}")
# Semantic similarity
sim = hnm.similarity("I am happy", "I feel joyful") # ~0.87
sim = hnm.similarity("dog bites man", "man bites dog") # ~0.52 (role reversal detected)
# Memory storage and retrieval
hnm.encode_and_store("Deep learning uses neural networks")
hnm.encode_and_store("The stock market crashed today")
results = hnm.search("Tell me about neural networks", top_k=3)
# Associative binding
bound = hnm.bind("capital of France", "Paris")
recovered = hnm.unbind(bound, "capital of France") # β Paris vector
```
## Benchmarks
### Semantic Discrimination (7/7 Pass)
| Test | Pair | Score | Target | Status |
|------|------|-------|--------|--------|
| Negation | "alive" / "not alive" | 0.48 | < 0.50 | β
|
| Role Reversal | "dog bites man" / "man bites dog" | 0.52 | < 0.70 | β
|
| Paraphrase | "happy" / "joyful" | 0.87 | > 0.70 | β
|
| Unrelated | "neural networks" / "fishing" | 0.01 | < 0.30 | β
|
### Scaling (Constant Time)
| Corpus Size | TF-IDF | BM25 | HNM |
|-------------|--------|------|-----|
| 20 docs | 0.03ms | 0.04ms | 1.78ms |
| 2,000 docs | 2.45ms | 3.60ms | **1.62ms** |
| **100Γ growth** | **78Γ slower** | **98Γ slower** | **0.9Γ slower** |
### Resource Efficiency
| Metric | Value |
|--------|-------|
| Sparsity | 99% |
| FLOPS reduction | 102Γ |
| Inference latency | ~3.5ms |
| GPU required | **No** |
## Architecture
```
Input β Semantic Encoder β Holographic Projection β Interference Layers (Γ8) β Memory
β β β β
Word vectors + Complex pattern FFT + Phase mixing Cleanup memory +
Negation handling Phase = semantics 99% sparsification Iterative decoding
```
**Key Components:**
- **Dual-channel encoding**: Semantic (meaning) + Structural (order)
- **Circular convolution binding**: `bind(key, value)` β `unbind(bound, key) β value`
- **Cleanup memory**: Iterative extraction from superposition
- **Hierarchical storage**: 16 slots with saturation monitoring
## Limitations
1. **Semantic priors are hand-crafted**: ~40 word clusters cover common vocabulary but not open-domain language
2. **Similarity is ordinal, not metric**: Scores are internally consistent but not calibrated to SBERT
3. **This is a substrate, not a system**: Provides memory/binding, not language generation
## Citation
```bibtex
@software{stone2024hnm,
author = {Stone, Kent},
title = {Holographic Neural Mesh: A Deterministic Sparse Semantic Substrate},
year = {2024},
publisher = {JARVIS Cognitive Systems},
url = {https://huggingface.co/jarvis-cognitive/hnm-v3}
}
```
## Lineage
HNM builds on established cognitive architecture research:
- **Holographic Reduced Representations** (Plate, 1995)
- **Sparse Distributed Memory** (Kanerva, 1988)
- **Hyperdimensional Computing** (Kanerva, 2009)
- **Vector Symbolic Architectures** (Kleyko et al., 2023)
## Contact
Kent Stone - JARVIS Cognitive Systems |