Pattern identification using lattice spin systems: A thermodynamic formalism

The paper addresses data-driven statistical pattern identification in complex dynamical systems, where the concept is built upon thermodynamic formalism of symbolic data sequences in the setting of lattice spin systems. The transfer matrix approach has been used for generation of pattern vectors from time series data of observed parameters. Efficacy of pattern identification is demonstrated for early detection of anomalies (i.e., deviations from the nominal pattern) on an experimental apparatus of nonlinear active electronic circuits.