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Nonparametric multiple change point estimation in highly dependent time series

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

Published
Publication date09/2013
Host publicationAlgorithmic Learning Theory: 224th International Conference, ALT 2013, Singapore, October 6-9, 2013. Proceedings
EditorsSanjay Jain, Rémi Munos, Frank Stephan, Thomas Zeugmann
Place of PublicationCham
PublisherSpringer
Pages382-396
Number of pages15
ISBN (electronic)9783642409356
ISBN (print)9783642409349
<mark>Original language</mark>English
EventAlgorithmic Learning Theory (ALT) - Singapore, Singapore
Duration: 6/10/2013 → …

Conference

ConferenceAlgorithmic Learning Theory (ALT)
Country/TerritorySingapore
CitySingapore
Period6/10/13 → …

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume8139
ISSN (Print)0302-9743
ISSN (electronic)1611-3349

Conference

ConferenceAlgorithmic Learning Theory (ALT)
Country/TerritorySingapore
CitySingapore
Period6/10/13 → …

Abstract

Given a heterogeneous time-series sample, it is required to find the points in time (called change points) where the probability distribution generating the data has changed. The data is assumed to have been generated by arbitrary, unknown, stationary ergodic distributions. No modelling, independence or mixing assumptions are made. A novel, computationally efficient, nonparametric method is proposed, and is shown to be asymptotically consistent in this general framework; the theoretical results are complemented with experimental evaluations.