This paper gives a new mode boundary approach for cluster analysis, based on mathematical concepts. It consists of a fast Parzen estimation of the underlying p.d.f. and a smoothing using numerical morphological transformation. The performance of this approach, with respect to a defined classification rule, is demonstrated on SM Higgs boson identification using generated LHC events.

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We have come a long way and finally are about to study calculus. Many of you might have taken some courses in the past where you learned a number of formulas to calculate the derivatives and integrals of certain functions. The purpose of this course, however, is not to memorize these formulas mindlessly. Rather, our goals are to understand the mathematical concepts underlying such formulas and ...

The monitoring of herbaceous fuel moisture content is a crucial activity in order to assess savanna fire risks. Faced with the difficulty of managing wide areas of vegetated surfaces, remote sensing appears an attractive alternative for terrestrial measurements because of its advantages related to temporal resolution and spatial coverage. Earth observation (EO)-based vegetation indices (VIs) an...

Editorial In keeping with The Gerontologist ' s mission to offer a multidisciplinary understanding of human aging, including the impact of social policy, we are expanding the Practice Concepts section to include papers that specifi cally analyze public policy as it affects aging populations and aging processes. We believe that a more explicit focus on social policy analysis will fi ll a need fo...

The formulation of analytical excitation-energy gradients from time-dependent density functional theory within the frozen-density embedding framework is presented. In addition to a comprehensive mathematical derivation, we discuss details of the numerical implementation in the Slater-function based Amsterdam Density Functional (ADF) program. Particular emphasis is put on the consistency in the ...

Classification is an important research area in cancer diagnosis. Fuzzy C-means (FCM) is one of the most widely used fuzzy clustering algorithms in real world applications. However there are two major limitations that exist in this method. The first is that a predefined number of clusters must be given in advance. The second is that the FCM technique can get stuck in sub-optimal solutions. In o...

Multi-species reactive transport equations coupled through sorption and sequential first-order reactions are commonly used to model sites contaminated with radioactive wastes, chlorinated solvents and nitrogenous species. Although researchers have been attempting to solve various forms of these reactive transport equations for over 50 years, a general closed-form analytical solution to this pro...

The starting point for this paper is the well known equivalence between convolution filtering with a rescaled Gaussian and the solution of the heat equation. In the first chapters we analyze the equivalence between multiscale convolution filtering, linear smoothing methods based on continuous wavelet transforms and the solutions of linear diffusion equations. I.e. we determine a wavelet ψ, resp...