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Prediction methods for 1/f^β processes with application to the analysis of stride interval time series

Zahnd, Etienne and Sejdić, Ervin (2016) Prediction methods for 1/f^β processes with application to the analysis of stride interval time series. Master's Thesis, University of Pittsburgh. (Unpublished)

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The power law in the frequency spectrum S(f)=1/f^β allows for a good representation of the various time evolutions and complex interactions of many physiological processes. The spectral exponent β can be interpreted as the degree of fractal characteristic which in turn makes it some sort of biomarker that gives an idea of the relative health of an individual. This thesis presents a thorough investigation of prediction of the fractal nature of the process with specific consideration given to experimentally measured gait stride interval time series. The goal is to consider the accuracy of several time series prediction methods such as the neural networks, regression trees and bagged regression trees learning method. To test these methods we simulated stride intervals time series as 1/f^β processes. This investigation is to complement previous analyses on predicting the process with which this study compared. It was shown as result of the research that the greatest number of points one can accurately predict is between five and fifteen using the regression tree, the feedforward neural network and the AR model.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Zahnd, Etienneejz9@pitt.eduEJZ9
Sejdić, Ervinesejdic@pitt.eduESEJDIC
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Thesis AdvisorSejdić, Ervinesejdic@pitt.eduESEJDIC
Committee MemberMao, Zhi-Hongzhm4@pitt.eduZHM4
Committee MemberAkcakaya, Muratakcakaya@pitt.eduAKCAKAYA
Committee ChairSejdić, Ervinesejdic@pitt.eduESEJDIC
Date: 15 September 2016
Date Type: Publication
Defense Date: 15 July 2016
Approval Date: 15 September 2016
Submission Date: 18 July 2016
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 66
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Electrical and Computer Engineering
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: prediction, stride interval, time series, 1/f^β process, human gait, neural networks, regression trees, autoregressive model
Date Deposited: 15 Sep 2016 19:50
Last Modified: 15 Nov 2016 14:34


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