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Thesis Proposal Benjamin Fraser MSc Mathematics

R226
11 Jul 2016
12:30 PM

Nipissing University's School of Graduate Studies has the pleasure of inviting the university community at large, faculty, students and administrators to attend the Thesis Proposal Presentation of graduate student Benjamin Fraser.

Benjamin Fraser
Master of Science in Mathematics
TDA Parameters in Time Series Analysis

Monday 11th July, 2016
Room R226, North Bay Campus, Nipissing University
12:30 pm

Abstract

Topological data analysis (TDA) has been used to discover qualitative, deformation invariant features of point-cloud data. Generally, TDA proves sensitive to the choice of various parameters, with the "true" underlying topology of the data only recovered by a certain range of settings. A method for discovering periodicityin a time series, involving a time-delay embedding (lift) of that signal to a higher dimension, adds yet another dimension to the problem: a parameter which determines the length of the lag in this lift. We attempt to develop a process for choosing optimal values of this parameter, where the size of the complex that can still recover the topology is minimized. It is expected that this approach will provide further insight into and analysis of periodic and quasiperiodic time series, which occur in numerous biomedical and geospatial applications.



 

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