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:

  • βœ… Constant-time encoding (O(1) regardless of corpus size)
  • βœ… 99% structural sparsity (102Γ— FLOPS reduction)
  • βœ… Deterministic representations (same input β†’ same output β†’ always)
  • βœ… Semantic discrimination (negation, role reversal, synonyms)
  • βœ… Associative binding/unbinding (key-value memory)
  • βœ… Pure NumPy (no GPU, no PyTorch, no TensorFlow)

What HNM IS

βœ… HNM Is ❌ 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

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‰ˆ Paris vector

Benchmarks

Semantic Discrimination (7/7 Pass)

Test Pair Score Target Status
Negation "alive" / "not alive" 0.48 < 0.50 βœ…
Role Reversal "dog bites man" / "man bites dog" 0.52 < 0.70 βœ…
Paraphrase "happy" / "joyful" 0.87 > 0.70 βœ…
Unrelated "neural networks" / "fishing" 0.01 < 0.30 βœ…

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 (Γ—8) β†’ Memory
            ↓                      ↓                        ↓                    ↓
      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‰ˆ 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

@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

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