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Robust k-means: a theoretical revisit

Georgogiannis Alexandros

Απλή Εγγραφή

URIhttp://purl.tuc.gr/dl/dias/25D438D5-51A7-4B8D-9E6D-1D1B4A108D81-
Αναγνωριστικόhttps://papers.nips.cc/paper/6126-robust-k-means-a-theoretical-revisit-
Γλώσσαen-
Μέγεθος9 pagesen
ΤίτλοςRobust k-means: a theoretical revisiten
ΔημιουργόςGeorgogiannis Alexandrosen
ΔημιουργόςΓεωργογιαννης Αλεξανδροςel
ΕκδότηςNeural information processing systems foundationen
ΠερίληψηOver the last years, many variations of the quadratic k-means clustering procedure have been proposed, all aiming to robustify the performance of the algorithm in the presence of outliers. In general terms, two main approaches have been developed: one based on penalized regularization methods, and one based on trimming functions. In this work, we present a theoretical analysis of the robustness and consistency properties of a variant of the classical quadratic k-means algorithm, the robust k-means, which borrows ideas from outlier detection in regression. We show that two outliers in a dataset are enough to breakdown this clustering procedure. However, if we focus on "well-structured" datasets, then robust k-means can recover the underlying cluster structure in spite of the outliers. Finally, we show that, with slight modifications, the most general non-asymptotic results for consistency of quadratic k-means remain valid for this robust variant.en
ΤύποςΠλήρης Δημοσίευση σε Συνέδριοel
ΤύποςConference Full Paperen
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2018-10-26-
Ημερομηνία Δημοσίευσης2016-
Θεματική Κατηγορίαk-means clusteringen
Βιβλιογραφική ΑναφοράA. Georgogiannis, "Robust k-means: a theoretical revisit," in 30th Annual Conference on Neural Information Processing Systems, 2016, pp. 2891-2899.en

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