Heart rate variability (HRV) is a non-invasive measurement based on the intervals between normal heart beats that characterize cardiac autonomic function. Decreased HRV is associated with increased risk of cardiovascular events. Characterizing HRV using only moment statistics fails to capture abnormalities in regulatory function that are important aspects of disease risk. Thus, entropy measures...

Characteristic f u n c t i o n s h a v e been def ined in nonlinear a u t o n o m o u s s y s t e m s . These funct ions possess properties which are equivalent to those o f the energy a n d t h e entropy concepts of t h e r m o d y n a m i c s . T h e n e w funct ions are induced in nonlinear s y s t e m s b y one parameter transf o r m a t i o n groups . T h e m a t h e m a t i c a l t r e a ...

2.1 Entropy and mutual information In this paper, we propose a new parameter estimation method called minimum entropy estimation (MEE), which tries to minimize the conditional entropy of the models given the input data. Since there is no assumption in MEE for the correctness of the parameter space of models, MEE will perform not less than the other estimation methods such as maximum likelihood ...

We consider the problem of computing information theoretic functions such as entropy on a data stream, using sublinear space. Our first result deals with a measure we call the “entropy norm” of an input stream: it is closely related to entropy but is structurally similar to the well-studied notion of frequency moments. We give a polylogarithmic space one-pass algorithm for estimating this norm ...

An open system consisting of a scalar field bound to a Kerr black hole whose mass (M) and specific angular momentum (a) are slowly (adiabatically) perturbed is considered. The adiabatically induced phase and the conditions for the validity of the adiabatic approximation are obtained. The effect of closed cycles in parameter space (a, M plane) on the energy levels of both stable and unstable sca...

We derive a two-parameter family of generalized entropies, Spq, and means mpq. To this end, assume that we want to calculate an entropy and a mean for n non-negative real numbers {x1,...,xn}. For comparison, we consider {m1,...,mk} where mi = m for all i = 1,...,k and where m and k are chosen such that the l and l norms of {x1,...,xn} and {m1,...,mk} coincide. We formally allow k to be real. Th...

Stochastic properties of equilibrium strongly coupled plasmas are investigated by a molecular dynamics method. The Krylov-Kolmogorov entropy K and the dynamical memory time t(m) are calculated both for electrons and ions with mass ratios 10-10(5). Two values of K entropy for ions are discovered corresponding to electron and ion time scales. The dependence of the K entropy on the number of parti...

Recently, the problem of privacy amplification with an active adversary has received a lot of attention. Given a shared n-bit weak random source X with min-entropy k and a security parameter s, the main goal is to construct an explicit 2-round privacy amplification protocol that achieves entropy loss O(s). Dodis and Wichs [DW09] showed that optimal protocols can be achieved by constructing expl...

This paper applies a new multi attribute decision-making (MADM) model to help companies for enterprise resource planning (ERP) selection problem based on Balanced Score Card method. This paper uses three-parameter interval grey numbers which is derived from Grey theory (was proposed by J. Deng). This numbers is used instead of linguistic variables. Beside, a new weighting method that outcomes f...