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Improved nearest neighbor search using auxiliary information and priority functions

ICML 2018 · Learning theory and algorithms › Prediction and decision losses · approach: Approximate nearest neighbor indexing · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
store auxiliary information (c=500 candidate points, m=20 projections) at internal nodes of a single RPT for defeatist searchRPT (defeatist search) · six datasets, 1-NN1-NN accuracy: e.g. MNIST 12% -> 44%, SIFT 23% -> 47%Helped
priority function fpr2 (distance-ratio weighted) instead of fpr1 for guided prioritized search (ablation)guided leaf-visiting search on RPT · six datasets, 1-NN at 20 iterations1-NN accuracy: MNIST 61% vs 56%; SIFT 65% vs 61%Helped
priority-based guided search (fpr1 or fpr2) instead of guided DFSsingle RPT · six datasets, 1-NN at 20 iterations1-NN accuracy: MNIST fpr2 61% vs DFS 34%; SIFT 65% vs 40%Helped
priority-based guided search (fpr2) instead of virtual spill tree at matched budgetsingle RPT · MNIST and SIFT, 1-NN1-NN accuracy: MNIST 61% vs 42%; SIFT 65% vs 58%; at low budgets virtual spill tree is comparable (e.g. MNIST 15% vs 19% at 2 iter)Mixed
increasing number of leaf nodes visited (iterations) in prioritized searchfpr2 guided search · six datasets, 1-NN1-NN accuracy: gains diminish with more iterationsHelped
combine auxiliary-information defeatist search with priority-guided leaf search (single tree) vs fewer leavessingle RPT · six datasets, 10-NN budget of 20 leaves10-NN accuracy: MNIST 72% single tree at 20 iter; combined approach yields lower rank-error than normal RPTHelped
use 3 trees with ~7 iterations each (Multi-Combined) instead of 1 tree with 20 iterations (ablation)combined approach · six datasets, 10-NN budget of 20 leaves10-NN accuracy: MNIST 72% -> 89%; SIFT 55% -> 74%; SIAM07 19% -> 24%Helped
increase number of trees in Multi-Combined beyond three (ablation)Multi-Combined · six datasets, 10-NN10-NN accuracy: accuracy increases very slowly beyond three trees (e.g. MNIST 89% -> 91% -> 93% for 3/4/5 trees)No clear effect
Multi-Combined (3 trees) instead of normal RPT forest at matched iterations/treesforest of RPTs · six datasets, 10-NN accuracy vs retrieved ratio10-NN accuracy: higher accuracy with less space than normal RPT (Figure 4 only, no numeric values)Helped

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