Data Analysis of Non-standard Time Series: The role of graph Laplacians and covariance matrices in data and processes of complex systems.
Gutierrez Tenreiro Eugenio Gerardo, Flavio Bono, Coutsomitros Constantin · Joint Research Centre (European Commission) · 2016
In this report we provide an informal mathematical introduction to the use of some methods from graph theory for the data analysis of non-standard time series. By this we mean information from a channel that is not presented to us in the usual format as a regular sequence of numbers. In particular we are interested in the role of the Laplacian matrix operator in helping us to understand the underlying structure and meaning of information generated from a wide range of sources....