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Statistical Analysis of Nearest Neighbor Methods for Anomaly Detection

NeurIPS 2019 · Learning theory and algorithms › Prediction and decision losses · approach: Approximate nearest neighbor indexing · 60 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use IForest rather than kNNUnsupervised anomaly detection on synthetic benchmarks · Synthetic benchmark corpusEither-metric failure rate: 0.6960 -> 0.6741Helped
Use kNN rather than IForestHigh-dimensional anomaly detection · gisette, isolet, letterAUC: 0.5023 -> 0.5696; 0.5485 -> 0.6810; 0.5600 -> 0.7162Helped
Use LOF rather than IForestHigh-dimensional anomaly detection · gisette, isolet, letterAUC: 0.5023 -> 0.6753; 0.5485 -> 0.7330; 0.5600 -> 0.7846Helped
Use kNN rather than LOFAnomaly detection on moderately lower-dimensional datasets · cancer, ionosphereAUC: 0.8097 -> 0.9780; 0.9450 -> 0.9832Helped
Compare the methods on 23 ODDS datasetsIForest, LODA, LOF, DTM₂, kNN, and kᵗʰNN · ODDS libraryAUC and APNo clear effect
Replace global NN scoring with LOF-style local scoringAnomaly detection for locally isolated anomalies · Illustrative local-anomaly exampleAnomaly detection performanceHelped
Use LOF rather than NN methods for clustered global anomaliesAnomaly detection for clustered anomalies · Illustrative clustered-anomaly exampleAnomaly detection performanceHurt
Reduce separation between anomalies and normal observationsDTM₂ anomaly scoring · Illustrative separation exampleMisclassification rateHurt

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