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Spherical coordinate knowledge representation — fast semantic search, visualization, and analysis

Project description

SphereQL

Project high-dimensional embeddings onto a 3D sphere for fast semantic search, interactive visualization, and knowledge structure analysis. Built in Rust, exposed to Python via PyO3.

Install

pip install sphereql

For Qdrant vector database support:

pip install sphereql[qdrant]

Quick Start: Semantic Search

import sphereql

categories = ["science", "science", "cooking", "cooking"]
embeddings = [
    [0.1, 0.9, 0.3, 0.0],
    [0.2, 0.8, 0.4, 0.1],
    [0.9, 0.1, 0.0, 0.5],
    [0.8, 0.2, 0.1, 0.4],
]

pipeline = sphereql.Pipeline(categories, embeddings)

query = [0.15, 0.85, 0.35, 0.05]
results = pipeline.nearest(query, k=3)

for hit in results:
    print(f"{hit.id}  {hit.category}  distance={hit.distance:.4f}")

Quick Start: Visualization

import sphereql

sphereql.visualize(categories, embeddings, title="My Embeddings")
# Opens an interactive 3D sphere in your browser

Quick Start: Vector DB Bridge

import sphereql

store = sphereql.InMemoryStore("my-collection", dimension=384)
store.upsert([
    {"id": "doc-1", "vector": embedding_1, "metadata": {"category": "science"}},
    {"id": "doc-2", "vector": embedding_2, "metadata": {"category": "cooking"}},
    # ...
])

bridge = sphereql.VectorStoreBridge(store)
bridge.build_pipeline(category_key="category")

results = bridge.hybrid_search(query_vec, final_k=5, recall_k=20)

How It Works

SphereQL fits a projection to reduce embeddings to 3 dimensions, then maps them onto spherical coordinates (r, theta, phi). The radial component encodes magnitude/confidence, while angular position preserves semantic similarity. This enables angular-distance queries, cluster detection, concept paths, and interactive 3D visualization — all in projected space.

Four projection families are exposed: PcaProjection, KernelPcaProjection, LaplacianEigenmap (connectivity-preserving spectral projection over a k-NN similarity graph), and RandomProjection. The full auto-tuning and meta-learning framework is available too — auto_tune, NearestNeighborMetaModel, DistanceWeightedMetaModel, and FeedbackAggregator.

# Non-default projection via config dict
pipeline = sphereql.Pipeline(
    categories, embeddings,
    config={"projection_kind": "LaplacianEigenmap"},
)

# Auto-tune over the search space
tuned, report = sphereql.auto_tune(categories, embeddings, budget=16)

API Reference

Type stubs (python/sphereql/__init__.pyi) are auto-generated via pyo3-stub-gen and ship with the wheel — IDEs, mypy, and pyright pick them up automatically. Regenerate after binding changes with:

cd sphereql-python && cargo run --bin gen-stubs

License

MIT

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