The entropy production rate (EPR) offers a quantitative measure of time reversal symmetry breaking in non-equilibrium systems. It can be defined either at particle level or the coarse-grained fields such as density; EPR for latter quantifies extent to which these behave irreversibly. In this work, we first develop general method compute scalar Langevin field theories with additive noise. This l...

A stochastic process which is a noisy observation of a Markov process through a memoryless channel is called a hidden Markov process (HMP). Finding the entropy rate of HMP is motivated by applications in both stochastic signal processing and information theory. The first expression for the entropy rate of HMP is found in 1957 [1]. This expression is defined through a measure described by an int...

This study evaluates the potential of the entropy rate contour to identify stationary and non-stationary segments of speech signals. The segmentation produced by an entropy rate-based method is compared to the manual phoneme segmentations of the TIMIT and the KIEL corpora. Characteristic points, i.e. steepest rises and falls of the entropy rate curve and its maxima and minima are investigated t...

In this paper we investigated heart rate time series stored by implantable cardioverter defibrillators in order to the short-term forecast ventricular tachycardia (VT). Standard heart rate variability (HRV) parameters, compression based entropy functions, and HRV scaling characteristics (detrended fluctuation analysis, Higuchi’s fractal dimension) were analyzed in 29 VT time series and compared...