Introduction and abstract. It has almost become a standard in stochastic mechanics applications of stochastic differential equations that the driving forces are modeled as Gaussian white noises, that is, as scalar or vector Brownian motion increments. However, this modeling may not always lead to responses that comply well with observed data. In particular the tails of the observed response dis...

In this paper we address the problem of sound source localization in the presence of impulsive noise for application in immersive telepresence and teleconferencing. Traditional Gaussian modeling of noise signals fails when the signals exhibit impulsive behavior. A new model is used, namely the Symmetric a-Stable (SaS), which can better account for the outliers that exist in real-world signals. ...

In the actual communication system, the line echo is a frequent problem, so the line echo canceller is necessary. Traditionally, the cancellers are designed according to line noises based on the Gaussian noise model. However, the noises do not obey the Gaussian distribution; therefore the performances of algorithms decrease, even cannot be used. In order to solve this problem, this paper propos...

We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which gives the logarithm of the switching rate, displays a non-power-law dependence on the distance to the bifurcation point. This dependence is found for Poisson noise. Even weak additional Gaussian noise dominates switch...

The selection of an optimal regression model comprising linear combinations of various integer powers of an independent variable (explanatory variables) is considered. The optimal model is defined as the most accurate (minimal variance) stable model, where all parameter estimates of the orthogonalized explanatory variables are significantly different from zero. The potential causes that limit t...

Chemical reactions in cells are subject to intense stochastic fluctuations. An important question is how the fundamental physiological behavior of the cell is kept stable against those noisy perturbations. In this study, a stochastic model of the cell cycle of budding yeast was constructed to analyze the effects of noise on the cell-cycle oscillation. The model predicts intense noise in levels ...

Multistability is an interesting phenomenon of nonlinear dynamical systems. To gain insights into the effects of noise on multistability, we consider the parameter region of the Lorenz equations that admits two stable fixed point attractors, two unstable periodic solutions, and a metastable chaotic “attractor”. Depending on the values of the parameters, we observe and characterize three interes...

In recent years, correntropy and its applications in machine learning have been drawing continuous attention owing to its merits in dealing with non-Gaussian noise and outliers. However, theoretical understanding of correntropy, especially in the statistical learning context, is still limited. In this study, within the statistical learning framework, we investigate correntropy based regression ...