OPT-SNG introduces a martingale model for SNG pruning in ANNS, proves O(n^{2/3+ε}) max out-degree and O(log n) expected path length, and gives a closed-form optimal truncation parameter that yields 5.9× average construction speedup.
Concise formulas for the area and volume of a hyperspherical cap.Asian Journal of Mathematics & Statistics, 4(1):66–70
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Sparse Neighborhood Graph-Based Approximate Nearest Neighbor Search Revisited: Theoretical Analysis and Optimization
OPT-SNG introduces a martingale model for SNG pruning in ANNS, proves O(n^{2/3+ε}) max out-degree and O(log n) expected path length, and gives a closed-form optimal truncation parameter that yields 5.9× average construction speedup.