CConcentric Vector Chord

Benchmarks

Simulation results

Curated top-k similarity measurements from the Concentric Vector Chord prototype paper. Configurations A/B/C use seed 42 on Apple Silicon.

Run setup

Nodes
16
Vectors
256
Dimension
32
Metric
Cosine LSH
KLSH
off
Query key
25921
Route hops
0
Init + query
< 100 ms

Top-8 similarity decay (self-query)

KLSH tightens neighborhoods

Config B (RBF + KLSH) clusters top-8 neighbors above 0.94 similarity, versus a sparser cosine LSH decay in Config A.

Concentric clustering needs overflow

Without Chord successor overflow, bucket saturation failed near 300 vectors on 24 nodes. Overflow stabilized insertion to 512 vectors.

Sub-100 ms simulation queries

In-process init and k-NN query for 256–512 vectors completed in under 100 ms on Apple Silicon (seed 42).

Vulkan validates placement

Interactive visualization confirmed shell guides, ring topology, vector projections, and routing hop paths during development.