%0 Conference Proceedings
%T Mutual Information for Quaternion Time Series
%+ Wroclaw University of Science and Technology
%A Piórek, Michał
%Z Part 6: Algorithms
%< avec comité de lecture
%( Lecture Notes in Computer Science
%B 15th IFIP International Conference on Computer Information Systems and Industrial Management (CISIM)
%C Vilnius, Lithuania
%Y Khalid Saeed
%Y Władysław Homenda
%I Springer International Publishing
%3 Computer Information Systems and Industrial Management
%V LNCS-9842
%P 453-461
%8 2016-09-14
%D 2016
%R 10.1007/978-3-319-45378-1_40
%K Mutual information
%K Quaternions
%K Deterministic chaos
%K Nonlinear time series analysis
%K Human motion analysis
%K Human gait data
%Z Computer Science [cs]
%Z Humanities and Social Sciences/Library and information sciencesConference papers
%X Mutual Information method is a widely used method for estimation of time delay value in the process of time delay embedding. It’s designed for a univariate scalar time series. In the real systems often many outputs of investigated system are available. In this case a multivariate time delay estimation method is necessary if one may require to perform the uniform time delay embedding. The special case of multivariate data is a kinematic time series(e.g. quaternion time series or Euler angles time series). The main goal of this paper is to provide a method for this case: Mutual Information method’s extension for quaternion time series. The results are also compared with previosly presented quaternion’s angle method. The method was tested on the real kinematic data - the recordings of human gait.
%G English
%Z TC 8
%2 https://inria.hal.science/hal-01637476/document
%2 https://inria.hal.science/hal-01637476/file/419526_1_En_40_Chapter.pdf
%L hal-01637476
%U https://inria.hal.science/hal-01637476
%~ SHS
%~ IFIP-LNCS
%~ IFIP
%~ IFIP-TC
%~ IFIP-TC8
%~ IFIP-CISIM
%~ IFIP-LNCS-9842