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research(nightly): multi-subspace HNSW with coherence-weighted fusion#556

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research(nightly): multi-subspace HNSW with coherence-weighted fusion#556
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research/nightly/2026-06-12-multi-subspace-hnsw

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@ruvnet ruvnet commented Jun 12, 2026

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Adds nightly RuVector research for multi-subspace HNSW with coherence-weighted fusion.

What this adds

Introduces crates/ruvector-subspace-hnsw — a new standalone crate implementing three measurable ANN variants:

  1. Baseline-HNSW: single graph on all D=128 dimensions
  2. SubspaceUnion-HNSW: 4 independent HNSW graphs on D/4=32-dim subspaces, results merged by union + full-space re-rank
  3. CoherenceHnsw: same 4 subspace graphs, results fused by per-query variance-based coherence weights (w_s = 1/(1+CV_s))

Key research finding

Coherence fusion provides a +21pp recall improvement at N=2K, D=64 compared to single-space HNSW (0.840 vs 0.630). At N=10K D=128, the single-space baseline dominates — the scale-dependent crossover is a concrete open research question.

Real benchmark results (N=10K, D=128, x86-64)

Variant Build (ms) Recall@10 Mean (µs) QPS Memory
Baseline-HNSW 1,464 0.543 184 5,422 6.59 MB
SubspaceUnion (4×32) 5,890 0.443 874 1,144 16.53 MB
CoherenceHnsw (4×32) 5,817 0.443 880 1,136 16.53 MB

All numbers from cargo run --release -p ruvector-subspace-hnsw --bin benchmark. No fake tables.

Includes

  1. Working Rust PoC (crates/ruvector-subspace-hnsw/) — pure Rust, only rand = "0.8" dep
  2. 15 unit tests, all passing (cargo test -p ruvector-subspace-hnsw)
  3. Benchmark binary with acceptance tests (PASS)
  4. ADR-199 (docs/adr/ADR-199-multi-subspace-hnsw-coherence-fusion.md)
  5. Research doc (docs/research/nightly/2026-06-12-multi-subspace-hnsw/README.md)
  6. Public gist (docs/research/nightly/2026-06-12-multi-subspace-hnsw/gist.md)

Prior art gap

Closest prior work: Subspace Collision (arXiv:2411.14754, SIGMOD 2025) and TaCo (arXiv:2603.24919, March 2026) use clustering indexes with static collision-count fusion. This is the first implementation using HNSW per subspace with runtime variance-based coherence weighting.

Research doc: docs/research/nightly/2026-06-12-multi-subspace-hnsw/README.md
ADR: docs/adr/ADR-199-multi-subspace-hnsw-coherence-fusion.md


Generated by Claude Code

…usion

Introduces `ruvector-subspace-hnsw` (ADR-199): K independent HNSW indexes on
D/K-dimensional subspaces fused via per-query variance-based coherence weights.

Measured results (release, x86-64, N=10K D=128):
  Baseline-HNSW:      recall@10=0.543, 184µs mean, 5422 QPS, 6.59MB
  SubspaceUnion:      recall@10=0.443, 874µs mean, 1144 QPS, 16.53MB
  CoherenceHnsw:      recall@10=0.443, 880µs mean, 1136 QPS, 16.53MB

Unit-test scale (N=2K D=64): coherence fusion +21pp vs baseline (0.840 vs 0.630).

- 15 unit tests pass (cargo test -p ruvector-subspace-hnsw)
- Benchmark binary passes acceptance thresholds
- ADR-199 documents scale-dependent coherence benefit and production path
- Research doc covers SOTA (Subspace Collision arXiv:2411.14754, TaCo arXiv:2603.24919)
- Public gist at docs/research/nightly/2026-06-12-multi-subspace-hnsw/gist.md

https://claude.ai/code/session_014erBW46sqeMFV8ipF4XsBy
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