Research map / Learning theory and algorithms / Prediction and decision losses
An algorithm for L1 nearest neighbor search via monotonic embedding
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace Cauchy random projection LSH with ERP (l1 to l2^2 embedding + Gaussian projection) LSH | LSH for l1 NN search · Corel uci, Corel hist, Cade, ImageNet | average query cost | Mixed |
| ERP-LSH vs Cauchy LSH (CRP-LSH) | Cade dataset (d=120) · Cade | average query cost: 218 vs 292 | Helped |
| ERP-LSH vs Cauchy LSH (CRP-LSH) | ImageNet dataset (d=100) · ImageNet | average query cost: 346 vs 548 | Helped |
| ERP-LSH vs metric tree for exact search | LSH-based l1 NN search · Corel uci, Corel hist, Cade, ImageNet | average query cost: ERP-LSH well below metric tree on Cade (218 vs 9184) and ImageNet (346 vs 12375); metric tree is better on Corel uci (25 | Helped |
| Gaussian random projection of l1-embedded data (ERP) vs linear scan | LSH for l1 NN search · all four datasets | average query cost: e.g. 218 vs 11715 on Cade | Helped |
Closest papers by meaning
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- Weighted distance nearest neighbor condensing (ICML 2024 · similarity 0.87)
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