Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper
}
TY - GEN
T1 - Detecting stationary intervals for random waves using time series clustering
AU - Euán, Carolina
AU - Ortega, Joaquín
AU - Alvarez-Esteban, Pedro C.
PY - 2014/10/2
Y1 - 2014/10/2
N2 - The problem of detecting changes in the state of the sea is very important for the analysis and determination of wave climate in a given location. Wave measurements are frequently statistically analyzed as a time series, and segmentation algorithms developed in this context are used to determine change-points. However, most methods found in the literature consider the case of instantaneous changes in the time series, which is not usually the case for sea waves, where changes take a certain time interval to occur.We propose a new segmentation method that allows for the presence of transition intervals between successive stationary periods, and is based on the analysis of distances of normalized spectra to detect clusters in the time series. The series is divided into 30-minutes intervals and the spectral density is estimated for each one. The normalized spectra are compared using the Total Variation distance and a hierarchical clustering method is applied to the distance matrix. The information obtained from the clustering algorithm is used to classify the intervals as belonging to a stationary or a transition period We present simulation studies to validate the method and examples of applications to real data.
AB - The problem of detecting changes in the state of the sea is very important for the analysis and determination of wave climate in a given location. Wave measurements are frequently statistically analyzed as a time series, and segmentation algorithms developed in this context are used to determine change-points. However, most methods found in the literature consider the case of instantaneous changes in the time series, which is not usually the case for sea waves, where changes take a certain time interval to occur.We propose a new segmentation method that allows for the presence of transition intervals between successive stationary periods, and is based on the analysis of distances of normalized spectra to detect clusters in the time series. The series is divided into 30-minutes intervals and the spectral density is estimated for each one. The normalized spectra are compared using the Total Variation distance and a hierarchical clustering method is applied to the distance matrix. The information obtained from the clustering algorithm is used to classify the intervals as belonging to a stationary or a transition period We present simulation studies to validate the method and examples of applications to real data.
M3 - Conference contribution/Paper
SN - 9780791845370
VL - 4B
SP - 1
EP - 7
BT - Proceedings of the 33rd. International Conference on Ocean and Arctic Engineering
T2 - ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering
Y2 - 8 June 2014 through 13 June 2014
ER -