An Algorithm for Classification and Outlier Detection of Time-Series Data

Abstract An algorithm to perform outlier detection on time-series data is developed, the intelligent outlier detection algorithm (IODA). This algorithm treats a time series as an image and segments the image into clusters of interest, such as “nominal data” and “failure mode” clusters. The algorithm uses density clustering techniques to identify sequences of coincident clusters in both the time domain and delay space, where the delay-space representation of the time series consists of ordered pairs of consecutive data points taken from the time series. “Optimal” clusters that contain either mostly nominal or mostly failure-mode data are identified in both the time domain and delay space. A best cluster is selected in delay space and used to construct a “feature” in the time domain from a subset of the optimal time-domain clusters. Segments of the time series and each datum in the time series are classified using decision trees. Depending on the classification of the time series, a final quality score (or ...

[1]  Christian Böhm,et al.  Computing Clusters of Correlation Connected objects , 2004, SIGMOD '04.

[2]  Hong Yan,et al.  Fuzzy Algorithms: With Applications to Image Processing and Pattern Recognition , 1996, Advances in Fuzzy Systems - Applications and Theory.

[3]  Warner L. Ecklund,et al.  A Fuzzy Logic Method for Improved Moment Estimation from Doppler Spectra , 1998 .

[4]  W. Briggs Statistical Methods in the Atmospheric Sciences , 2007 .

[5]  Paul R. Cohen,et al.  Concepts From Time Series , 1998, AAAI/IAAI.

[6]  Sammy W. Henderson,et al.  Performance of a 2-µm Coherent Doppler Lidar for Wind Measurements , 1994 .

[7]  Jason Chen Useful Clustering Outcomes from Meaningful Time Series Clustering , 2007, AusDM.

[8]  D. B. Preston Spectral Analysis and Time Series , 1983 .

[9]  Vincent Kanade,et al.  Clustering Algorithms , 2021, Wireless RF Energy Transfer in the Massive IoT Era.

[10]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[11]  Vic Barnett,et al.  Outliers in Statistical Data , 1980 .

[12]  松山 洋 「Statistical Methods in the Atmospheric Sciences(2nd edition), International Geophysics Series 91」, Daniel S. Wilks著, Academic Press, 2005年11月, 648頁, $94.95, ISBN978-0-12-751966-1(本だな) , 2010 .

[13]  Josef Schmee,et al.  Outliers in Statistical Data (2nd ed.) , 1986 .

[14]  R. Goodrich,et al.  FUZZY IMAGE PROCESSING APPLIED TO TIME SERIES ANALYSIS , 2002 .

[15]  S. Gal,et al.  Defects of Properties in Mathematics: Quantitative Characterizations , 2002 .