International Centre for Theoretical Sciences - TIFR
Survey No. 151, Shivakote Village, Hesaraghatta Hobli, Bengaluru (North) - 560089 Tel: +91 80 4653 6000 Fax: +91 80 4653 6002
Email: [email protected] Website: www.icts.res.in
ICTS Colloquium
Title : The simplicial characterisation of Time Series Networks: Theory and Applications
Speaker : Neelima Gupte, Indian Institute of Technology Madras, Chennai
Date : Monday, December 4, 2017
Time : 3:00 PM
Venue : Emmy Noether Seminar Room, ICTS Campus, Bangalore
Abstract : Mapping time series onto graphs and the use of graph theory methods opens up the possibility to study the structure of the phase space manifolds underlying the fluctuations of a dynamical variable. Here, we go beyond the standard graph measures and analyze the higher- order structures such as triangles, tetrahedra and higher-order cliques and their complexes present in the time-series networks, which are detectable by algebraic topology methods. We apply our methods to the dynamical evolution of the logistic map, a traffic problem, and fMRI data.
