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We consider the problem of detecting anomalies in a large dataset. We propose a framework called Partial Identification which captures the intuition that anomalies are easy to distinguish from the overwhelming majority of points by relatively few attribute values. Formalizing this intuition, we propose a geometric anomaly measure for a point that we call PIDScore, which measures the minimum density of data points over all subcubes containing the point. We present PIDForest: a random forest based algorithm that finds anomalies based on this definition. We show that it performs favorably in comparison to several popular anomaly detection methods, across a broad range of benchmarks. PIDForest also provides a succinct explanation for why a point is labelled anomalous, by providing a set of features and ranges for them which are relatively uncommon in the dataset.
Author Information
Parikshit Gopalan (VMware Research)
Vatsal Sharan (Stanford University)
Udi Wieder (VMware Research)
Related Events (a corresponding poster, oral, or spotlight)
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2019 Spotlight: PIDForest: Anomaly Detection via Partial Identification »
Wed. Dec 11th 06:40 -- 06:45 PM Room West Ballroom A + B
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2019 : Vatsal Sharan, "Sample Amplification: Increasing Dataset Size even when Learning is Impossible" »
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2019 : Poster Session »
Eduard Gorbunov · Alexandre d'Aspremont · Lingxiao Wang · Liwei Wang · Boris Ginsburg · Alessio Quaglino · Camille Castera · Saurabh Adya · Diego Granziol · Rudrajit Das · Raghu Bollapragada · Fabian Pedregosa · Martin Takac · Majid Jahani · Sai Praneeth Karimireddy · Hilal Asi · Balint Daroczy · Leonard Adolphs · Aditya Rawal · Nicolas Brandt · Minhan Li · Giuseppe Ughi · Orlando Romero · Ivan Skorokhodov · Damien Scieur · Kiwook Bae · Konstantin Mishchenko · Rohan Anil · Vatsal Sharan · Aditya Balu · Chao Chen · Zhewei Yao · Tolga Ergen · Paul Grigas · Chris Junchi Li · Jimmy Ba · Stephen J Roberts · Sharan Vaswani · Armin Eftekhari · Chhavi Sharma -
2018 Poster: Efficient Anomaly Detection via Matrix Sketching »
Vatsal Sharan · Parikshit Gopalan · Udi Wieder -
2018 Poster: A Spectral View of Adversarially Robust Features »
Shivam Garg · Vatsal Sharan · Brian Zhang · Gregory Valiant -
2018 Spotlight: A Spectral View of Adversarially Robust Features »
Shivam Garg · Vatsal Sharan · Brian Zhang · Gregory Valiant -
2017 Poster: Learning Overcomplete HMMs »
Vatsal Sharan · Sham Kakade · Percy Liang · Gregory Valiant