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S2JSD-LSH: A Locality-Sensitive Hashing Schema for Probability Distributions

AAAI 2017 · Learning theory and algorithms › Optimal transport · approach: Wasserstein barycenters and GW · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use S2JSD-LSH instead of Super-bit LSHLSH for probability distributions · Y AnsmAP (256 bits): 0.8963 -> 0.9323Helped
use S2JSD-LSH instead of Super-bit LSHLSH for probability distributions · CIFAR10mAP (256 bits): 0.1413 -> 0.1430Helped
use S2JSD-LSH instead of Super-bit LSHLSH for probability distributions · CIFAR100-100mAP (256 bits): 0.0228 -> 0.0232Helped
use S2JSD-LSH instead of Super-bit LSH at low bitsLSH for probability distributions · MNISTmAP: 16 bits: 0.1818 -> 0.1654; 8 bits: 0.1125 -> 0.1429Mixed
use S2JSD-LSH instead of Super-bit LSHLSH for probability distributions · Local-PatchmAP: 256 bits: 0.3804 -> 0.3825; 128 bits: 0.3786 -> 0.3755Mixed
use S2JSD-LSH instead of p-stable l2 LSHLSH for probability distributions · eight datasetsmAP: MNIST 256 bits: 0.1004 -> 0.3710Helped
use information-theoretic metrics (JSD/S2JSD) instead of l2 for KNNbrute-force search · CIFAR10p@5: 0.478 -> 0.528Helped
use new symmetric first-order approximation instead of Endres approximation of S2JSD (ablation)S2JSD approximation · Dir(1) simulation, 100 dimscloseness to S2JSD: 98.455% of pairs closerHelped
increase partition width W from 0.1 to 1.0 (ablation)S2JSD-LSH · CIFAR100-100 and MNISTmAPHurt

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