Access the full text.
Sign up today, get DeepDyve free for 14 days.
Case 1. When using the HSM method simulate two spectral densities from the common spectra f and compute the TV distance between them
E. Maharaj, A. Alonso (2014)
Discriminant analysis of multivariate time series: Application to diagnosis based on ECG signalsComput. Stat. Data Anal., 70
Martin Gavrilov, Dragomir Anguelov, P. Indyk, R. Motwani (2000)
Mining the stock market (extended abstract): which measure is best?
Jennifer Wu, R. Srinivasan, Arshdeep Kaur, S. Cramer (2014)
Resting-state cortical connectivity predicts motor skill acquisitionNeuroImage, 91
R. Tibshirani, G. Walther, T. Hastie (2000)
Estimating the number of clusters in a data set via the gap statisticJournal of the Royal Statistical Society: Series B (Statistical Methodology), 63
T. Liao (2005)
Clustering of time series data - a surveyPattern Recognit., 38
P. Brodtkorb, P. Johannesson, G. Lindgren, I. Rychlik, J. Rydén, Eva Sjö (2000)
WAFO - A Matlab Toolbox For Analysis of Random Waves And Loads, 3
Jorge Caiado, E. Maharaj, P. D’Urso (2015)
Time-Series Clustering
E. Maharaj, P. D’Urso (2011)
Fuzzy clustering of time series in the frequency domainInf. Sci., 181
竹安 数博, 樋口 友紀, 石井 康夫, 豊田 丈輔 (2007)
Time series analysis and its applications
P. D’Urso, E. Maharaj (2012)
Wavelets-based clustering of multivariate time seriesFuzzy Sets Syst., 193
Jorge Caiado, N. Crato, D. Peña (2009)
Comparison of Times Series with Unequal Length in the Frequency DomainCommunications in Statistics - Simulation and Computation, 38
Maria Halkidi (2020)
Hierarchical ClusteringClustering
A. Walker (1957)
Statistical Analysis of a Random, Moving SurfaceNature, 180
R. Cattell (1966)
The Scree Test For The Number Of Factors.Multivariate behavioral research, 1 2
Euan Campos (2016)
Detection of changes in Time Series: a frequency domain approach
S. Díaz, J. Vilar (2010)
Comparing Several Parametric and Nonparametric Approaches to Time Series Clustering: A Simulation StudyJournal of Classification, 27
E. Maharaj (2002)
Comparison of non-stationary time series in the frequency domainComputational Statistics & Data Analysis, 40
M. Longuet-Higgins (1957)
The statistical analysis of a random, moving surfacePhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 249
Martin Gavrilov, Dragomir Anguelov, P. Indyk, R. Motwani (2000)
Mining The Stock Market : Which Measure Is Best ?
R. Shumway, D. Stoffer (2017)
Time series analysis and its applications : with R examples
P. Álvarez-Esteban, Carolina Euán, J. Ortega (2015)
Time series clustering using the total variation distance with applications in oceanographyEnvironmetrics, 27
R. Krafty, M. Hall, Wensheng Guo (2011)
Functional mixed effects spectral analysis.Biometrika, 98 3
E. Maharaj, A. Alonso (2007)
Discrimination of locally stationary time series using waveletsComput. Stat. Data Anal., 52
R. Xu, D. Wunsch (2005)
Survey of clustering algorithmsIEEE Transactions on Neural Networks, 16
R. Team (2014)
R: A language and environment for statistical computing.MSOR connections, 1
Pablo Montero, J. Vilar (2014)
TSclust: An R Package for Time Series ClusteringJournal of Statistical Software, 62
R. Krafty (2015)
Discriminant Analysis of Time Series in the Presence of Within‐Group Spectral VariabilityJournal of Time Series Analysis, 37
E. Maharaj, P. D’Urso, D. Galagedera (2010)
Wavelet-based Fuzzy Clustering of Time SeriesJournal of Classification, 27
W. Pierson (1955)
Wind Generated Gravity WavesAdvances in Geophysics, 2
Cyril Goutte, P. Toft, E. Rostrup, F. Nielsen, L. Hansen (1999)
On Clustering fMRI Time SeriesNeuroImage, 9
R. Thorndike (1953)
Who belongs in the family?Psychometrika, 18
M. Ochi (1998)
Ocean Waves: The Stochastic Approach
Jens-Peter Kreiss, E. Paparoditis (2015)
Bootstrapping locally stationary processesJournal of the Royal Statistical Society: Series B (Statistical Methodology), 77
Jorge Caiado, N. Crato, D. Peña (2006)
A periodogram-based metric for time series classificationComput. Stat. Data Anal., 50
We present a new method for time series clustering which we call the Hierarchical Spectral Merger (HSM) method. This procedure is based on the spectral theory of time series and identifies series that share similar oscillations or waveforms. The extent of similarity between a pair of time series is measured using the total variation distance between their estimated spectral densities. At each step of the algorithm, every time two clusters merge, a new spectral density is estimated using the whole information present in both clusters, which is representative of all the series in the new cluster. The method is implemented in an R package HSMClust. We present two applications of the HSM method, one to data coming from wave-height measurements in oceanography and the other to electroencefalogram (EEG) data.
Journal of Classification – Springer Journals
Published: Apr 12, 2018
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.