1 Theory .......................................................................................................................... 1 1.1 Global log likelihood ratio ................................................................................... 1 1.2 Local log likelihood ratio (neural form) ............................................................... 3 1.3 Local log likelihood ratio (be...

Heart rate variability analysis is fast gaining acceptance as a potential non-invasive means of autonomic nervous system assessment in research as well as clinical domains. In this study, a new nonlinear analysis method is used to detect age related changes in the degree of nonlinearity and stochastic nature of heart rate variability signals. The data obtained from an online and widely used pub...

While recent analysis of functional magnetic resonance imaging (fMRI) data utilize a generalized nonlinear convolution model (e.g., dynamic causal modeling), most conventional analyses of local responses utilize a linear convolution model (e.g., the general linear model). These models assume a linear relationship between the blood oxygenated level dependent (BOLD) signal and the underlying neur...

This paper considers local stability properties of systems comprising stable linear time-invariant operators in combination with a scalar nonlinearity. We consider those nonlinearities whose gain can be related to the peak value of their input signal. It is assumed that the nonlinearity has some nominal gain for small signals (ie with peak value less than some number), and that the gain then in...

Classes of solutions, asymptotic in small parameter , → 0, are constructed to the generalized nonlinear Schrödinger equation (NSE) in a multi-dimensional space with an external field in the framework of the WKB-Maslov method. Asymptotic semiclassically concentrated solutions (SCS), regarded as multi-dimensional solitary waves, are introduced for the NSE with an external field and cubic local no...

In this paper, we present a distributed version of the KYP-Lemma with the goal to express the strictly positive real-property for a class of physically interconnected systems by a set of local LMI-conditions. The resulting conditions are subsequently used to constructively design distributed circle criterion estimators, which are able to collectively estimate an underlying linear system with a ...

We introduce a constrained energy functional to describe dielectric response. We demonstrate that the local functional is a generalization of the long-ranged Marcus energy. Our reformulation is used to implement a cluster Monte Carlo algorithm for the simulation of dielectric media. The algorithm avoids solving the Poisson equation and remains efficient in the presence of spatial heterogeneity,...

We use residual-delay maps of observational field data for barometric pressure to demonstrate the structure of latitudinal gradients in nonlinearity in the atmosphere. Nonlinearity is weak and largely lacking in tropical and subtropical sites and increases rapidly into the temperate regions where the time series also appear to be much noisier. The degree of nonlinearity closely follows the meri...

Let B = (Bt)t≥0 be a standard Brownian motion and let (Lt ; t ≥ 0, x ∈R) be a continuous version of its local time process. We show that the following limit limε↓0(1/2ε) ∫ t 0{F(s,Bs− ε)− F(s,Bs + ε)}ds is well defined for a large class of functions F(t,x), and moreover we connect it with the integration with respect to local time Lt . We give an illustrative example of the nonlinearity of the ...