Anticipative stochastic integration based on time-space chaos

GPS-Based Multi-viewpoint Integration for Anticipative Scene Analysis

Abstract: A multi-viewpoint integration scheme is introduced to recognize scene features prior to physical access. In this schematics, chromatic complexity of vehicle’sand bird’s-eye-views of roadway scenes are matched to extend GPS tracks towards possible destinations. Saliency patterns arising in destination images are anticipatively extracted to control the focus of inherent and machine visi...

Girsanov theorem for anticipative shifts on Poisson space

We study the absolute continuity of the image measure of the canonical Poisson probability measure under nonlinear shifts. The Radon-Nykodim density function is expressed using a Carleman-Fredholm determinant and a divergence operator. Results are obtained for non-necessarily invertible transformations, under almost-sure differentiability hypothesis.

Large-deviation approach to space-time chaos.

In this Letter, we show that the analysis of Lyapunov-exponent fluctuations contributes to deepen our understanding of high-dimensional chaos. This is achieved by introducing a gaussian approximation for the large-deviation function that quantifies the fluctuation probability. More precisely, a diffusion matrix D (a dynamical invariant itself) is measured and analyzed in terms of its principal ...

Space-Time Approach to Quantum Chaos

On the long - time integration of stochastic gradient systems

Author for correspondence: B. Leimkuhler e-mail: [email protected] On the long-time integration of stochastic gradient systems B. Leimkuhler1, C. Matthews1 and M. V. Tretyakov2 1School of Mathematics and the Maxwell Institute for Mathematical Sciences, University of Edinburgh, Kings Buildings, Mayfield Road, Edinburgh EH9 3JZ, UK 2School of Mathematical Sciences, University of Nottingham, N...