<p style='text-indent:20px;'>This papers shows that nonlinear filter in the case of deterministic dynamics is stable with respect to initial conditions under observations are sufficiently rich, both context continuous and discrete time filters. Earlier works on stability filters stochastic assume like compact state space or independent observation model, whereas we prove for more general ...

To make things less abstract, this can be interpreted as a model for pixels in an image (d), which has been taken by a camera which blurs the light sources (f) via some point spread function (R) and is noisy (n). Note that the light sources are expected to have correlational structure in the real world and the prior over light sources reflects this (Ψ). Particular methods for specifying Ψ are G...

State estimation is the common problem in every area of engineering. There are different filters used to overcome the problem of state estimation like Kalman filter, Particle filters etc. Kalman Filter is popular when the system is linear but when the system is highly non-linear then the different derivatives of Kalman Filter are used like Extended Kalman Filter (EKF), Unscented Kalman filter. ...

In this paper novel approaches based on anisotropic coupled diffusion equations are presented to do filter and binarization for ESPI fringes. An advantageous characteristic associated with the proposed technique is that diffusion takes place mainly along the direction of the edge. Therefore, the proposed anisotropic coupled diffusion filter method can avoid blur of the fringe edge and protect t...

We discuss here in detail a new analytical random walk approach to calculating the phase-diagram for spatially extended systems with multiplicative noise. We use the Anderson localization problem as an example. The transition from delocalized to localized states is treated as a generalized diffusion with a noise-induced first-order phase transition. The generalized diffusion manifests itself in...

In this paper we introduce a novel particle filter scheme for a class of partiallyobserved multivariate diffusions. We consider a variety of observation schemes, including diffusion observed with error, observation of a subset of the components of the multivariate diffusion and arrival times of a Poisson process whose intensity is a known function of the diffusion (Cox process). Unlike currentl...