scholarly journals Clustering of time series using a hierarchical linear dynamical system

Author(s):  
Goktug T. Cinar ◽  
Jose C. Principe
2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ngoc Anh Nguyen Thi ◽  
Hyung-Jeong Yang ◽  
SunHee Kim ◽  
Luu Ngoc Do

Unsupervised mining of electrocardiography (ECG) time series is a crucial task in biomedical applications. To have efficiency of the clustering results, the prominent features extracted from preprocessing analysis on multiple ECG time series need to be investigated. In this paper, a Harmonic Linear Dynamical System is applied to discover vital prominent features via mining the evolving hidden dynamics and correlations in ECG time series. The discovery of the comprehensible and interpretable features of the proposed feature extraction methodology effectively represents the accuracy and the reliability of clustering results. Particularly, the empirical evaluation results of the proposed method demonstrate the improved performance of clustering compared to the previous main stream feature extraction approaches for ECG time series clustering tasks. Furthermore, the experimental results on real-world datasets show scalability with linear computation time to the duration of the time series.


2014 ◽  
Vol 10 (1) ◽  
pp. 47-53
Author(s):  
Ngoc Anh Nguyen Thi ◽  
Hyung-Jeong Yang ◽  
Soo-Hyung Kim ◽  
Guee-Sang Lee ◽  
Sun-Hee Kim

2006 ◽  
Vol 06 (01) ◽  
pp. L7-L15
Author(s):  
ALEXANDROS LEONTITSIS

The paper introduces a method for estimation and reduction of calendar effects from time series, which their fluctuations are governed by a nonlinear dynamical system and additive normal noise. Calendar effects can be considered deviations of the distribution(s) of particular group(s) of observations that have a common characteristic related to the calendar. The concept of this method is the following: since the calendar effects are not related to the dynamics of the time series, the accurate estimation and reduction will result a time series with a smaller amount of noise level (i.e. more accurate dynamics). The main tool of this method is the correlation integral, due to its inherit capability of modeling both the dynamics and the additive normal noise. Experimental results are presented on the Nasdaq Cmp. index.


2017 ◽  
Vol 298 ◽  
pp. 351-367 ◽  
Author(s):  
Zoltán Horváth ◽  
Yunfei Song ◽  
Tamás Terlaky

Author(s):  
Roberto De Luca ◽  
Orazio Faella

The dynamics of an ideal fluid contained in two communicating vessels is studied. Despite the fact that the static properties of this system have been known since antiquity, the knowledge of the dynamical properties of an ideal fluid flowing in two communicating vessels is not similarly widespread. By means of Bernoulli's equation for non-stationary fluid flow, we study the oscillatory motion of the fluid when dissipation can be neglected.


Population ◽  
1992 ◽  
Vol 47 (5) ◽  
pp. 1320
Author(s):  
J.-M. Z. ◽  
Tong Howell

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