arxivcs.LGcs.AI2026-07-01
Scaling Laws for Grid-Based Approximate Nearest Neighbor Search in High Dimensions
Matthew J Liu, Wei Hang Zheng, Vidhan Purohit, Siqi Xie, Chieh-En Li, Jerry Li, et al.
Grid-based approaches to approximate nearest neighbor (ANN) search have been absent from modern scaling analyses. We present a systematic characterization of a multiprobe grid algorithm with respect to dataset size $N$ and dimensionality $d$. Our experiments reveal a previously u…