topologist 0.1.8

A production-hardened hyperdimensional neuro-symbolic topology system.

Topologist

A production-hardened hyperdimensional neuro-symbolic topology system in Python.

Topologist combines:

• Hyperdimensional Computing / Vector Symbolic Architecture for robust distributed representations.
• Neuro-symbolic graph topology using NetworkX.
• Rule-based inference over symbolic relations.
• Topology analytics including PageRank centrality, communities, shortest paths, drift, and anomaly scoring.
• Persistence and export to JSON, GraphML, and Mermaid.
• CLI tooling for demos and inspection.

---

Why this exists

Most symbolic graph systems are explainable but brittle. Most neural/vector systems are robust but opaque.

Topologist sits between the two:

Symbolic entities and relations
        ↓
Hyperdimensional encoding
        ↓
Topology graph
        ↓
Reasoning + analytics + anomaly detection

Each node and relation is stored symbolically, but also encoded into a high-dimensional bipolar hypervector. This gives you a graph that is queryable and explainable while also having a distributed topology-level memory state.

---

Install

pip install topologist

For development without installing, ensure the package is in the Python path:

pip install -e .
python examples/demo.py

---

Quick start

from topologist import Topologist
from topologist.models import ReasoningRule

system = Topologist()

system.add_edge("Neuron", "connects_to", "Synapse", confidence=0.95)
system.add_edge("Synapse", "supports", "Memory", confidence=0.90)
system.add_edge("HDC", "models", "Memory", confidence=0.85)

created = system.apply_rule(
    ReasoningRule(
        relation_a="connects_to",
        relation_b="supports",
        inferred_relation="indirectly_supports",
        min_confidence=0.5,
    )
)

system.update_global_state(take_snapshot=True)

print("Created inferred edges:", created)
print("Centrality:", system.centrality())
print("Communities:", system.communities())
print("Nearest nodes:", system.nearest_nodes("Memory"))
print("Path:", system.shortest_path("Neuron", "Memory"))

system.save("topology.json")

Streaming example

# Run the streaming demo which ingests events, applies inference,
# snapshots state, computes drift, and scores anomalies.
python examples/streaming_topology.py

---

CLI

Create a demo topology:

topologist demo --output topology.json

Inspect it:

topologist inspect topology.json

Export Mermaid:

topologist mermaid topology.json --output topology.mmd

---

Main features

1. Hyperdimensional item memory

Stable symbols are encoded into bipolar vectors:

symbol → {-1, +1}^D

The engine supports:

• Binding: elementwise multiplication
• Bundling: majority superposition
• Permutation: cyclic shifts for order/role encoding
• Similarity: cosine similarity

2. Symbolic topology graph

The graph is a networkx.MultiDiGraph, so it supports multiple relation types between the same source and target.

Example:

HDC --models--> Memory
HDC --enhances--> KnowledgeGraph
KnowledgeGraph --supports--> Reasoning

3. Rule-based inference

Rules operate over two-hop motifs:

A --relation_a--> B
B --relation_b--> C
----------------------
A --inferred_relation--> C

4. Drift detection

The global graph state is bundled into a single hypervector snapshot.

system.update_global_state(take_snapshot=True)
drift = system.topology_drift()

This lets you measure how much the topology has changed over time.

5. Anomaly scoring

Candidate relations can be compared against the global topology state:

score = system.relation_anomaly_score("A", "unexpected_relation", "B")

Higher scores mean the relation is less aligned with the current topology memory.

6. Confidence decay

Knowledge that is not reinforced can gradually lose confidence:

system.decay_confidence()

This is useful for agent memory, dynamic knowledge graphs, cybersecurity events, medical evidence tracking, and live topology streams.

---

Project structure

topologist/
├── topologist/
│   ├── __init__.py
│   ├── cli.py
│   ├── config.py
│   ├── engine.py
│   ├── exceptions.py
│   ├── hdc.py
│   ├── io.py
│   ├── models.py
│   └── visualization.py
├── examples/
│   ├── demo.py
│   └── streaming_topology.py
├── tests/
│   ├── test_engine.py
│   └── test_hdc.py
├── pyproject.toml
└── README.md

---

Run tests

pytest -q

---

Production hardening included

This package includes:

• Typed modules
• Pydantic validation
• Custom exceptions
• Save/load roundtrip support
• CLI entrypoint
• Config object
• Test suite
• Export helpers
• No notebook-only assumptions
• No hidden API dependency
• Deterministic seed support
• Dimension validation
• Confidence decay
• Snapshot capping

---

License

MIT