Mean shift is a popular robust framework for statistical data analysis using kernel density estimation, originally proposed by Fukunaga and Hostetler in 70’s. Recently, due to the work by Cheng and Comaniciu, this method has been re-discovered and successfully applied to a wide range of vision applications. This article provides a comprehensive overview of the basic theory and applications of m...

This paper presents a sequential estimation procedure for an unknown regression function. Observed regressors and noises of the model are supposed to be dependent and form sequences of dependent numbers. Two types of estimators are considered. Both estimators are constructed on the basis of Nadaraya–Watson kernel estimators. First, sequential estimators with given bias and mean square error are...

Approximately half of the extrasolar planets (exoplanets) with radii less than four Earth radii are in orbits with short periods1. Despite their sheer abundance, the compositions of such planets are largely unknown. The available evidence suggests that they range in composition from small, high-density rocky planets to low-density planets consisting of rocky cores surrounded by thick hydrogen a...

The U.S. Anny currently uses the root mean square of elevation and power spectral density to characterize road/terrain (off-road) roughness for durability. This paper describes research aimed toward improving these metrics. One method currently under consideration involves running a relatively simple, yet vehicle class specific, model over a given terrain and using predicted vehicle response(s)...

The main purpose of this work is to estimate the regression function of a real random variable with functional explanatory variable by using a recursive nonparametric kernel approach. The mean square error and the almost sure convergence of a family of recursive kernel estimates of the regression function are derived. These results are established with rates and precise evaluation of the consta...

We consider the problem of predicting a real random variable from a functional explanatory variable. The problem is attacked by mean of nonparametric kernel approach which has been recently adapted to this functional context. We derive theoretical results by giving a deep asymptotic study of the behaviour of the estimate, including mean squared convergence (with rates and precise evaluation of ...

Introduction: Chondrites have been used to ascertain the Earth abundances of all but the most volatile elements. Of these, H abundance has dramatic ramifications for the properties of the planet, including rheology and melting relations of the mantle and density and phase relations in the core, yet is poorly known. The very mechanisms of formation of Earth and degassing history depend on the am...