Title of dissertation: FAST ALGORITHMS FOR THE SOLUTION OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS Christopher W. Miller, Doctor of Philosophy, 2012 Dissertation directed by: Professor Howard Elman Department of Computer Science Institute for Advanced Computer Studies We explore the performance of several algorithms for the solution of stochastic partial differential equations including the s...

The article derives a novel Gram-Charlier A (GCA) Series based Extended Rule-of-Thumb (ExROT) for bandwidth selection in Kernel Density Estimation (KDE). There are existing various bandwidth selection rules achieving minimization of the Asymptotic Mean Integrated Square Error (AMISE) between the estimated probability density function (PDF) and the actual PDF. The rules differ in a way to estima...

We evaluate the risks of cardiovascular disease to the Chinese population by i) detecting ”abnormality” using 3 one-class classification methods (a discriminative one-class support vector machine (SVM), a generative kernel density estimate (KDE), and a discriminative KDE), and ii) predicting probabilities of ”normality”, arrhythmia, and ischemia using 3class classification method (a discriminat...

Data mining tasks such as supervised classification can often benefit from a large training dataset. However, in many application domains, privacy concerns can hinder the construction of an accurate classifier by combining datasets from multiple sites. In this work, we propose a novel privacy-preserving distributed data sanitization algorithm that randomizes the private data at each site indepe...

5 Nonparametric estimation 12 5.1 A one-dimensional example . . . . . . . . . . . . . . . . . . . . . 13 5.2 Problems with the histogram approximation of p.d.f. . . . . . . . 15 5.3 Make your examples far-reaching . . . . . . . . . . . . . . . . . . 16 5.4 Kernel density estimation . . . . . . . . . . . . . . . . . . . . . . 16 5.5 Bandwidth selection . . . . . . . . . . . . . . . . . . . . . ....

We have studied the genomic structure and evolutionary pattern of immunoglobulin kappa deleting element (KDE) and three kappa enhancers (KE5', KE3'P, and KE3'D) in eleven mammalian genomic sequences. Our results show that the relative positions and the genomic organization of the KDE and the kappa enhancers are conserved in all mammals studied and have not been affected by the local rearrangeme...

Proponents of Free Software have argued that some of the most established software engineering principles do not fully apply when considered in an open, distributed approach. Among these principles, “Brooks’ Law” has been questioned in the Free Software context: large teams of developers, contrary to the law, will not need an increasingly growing number of communication channels. As advocates c...

The stereokinetic effect (SKE) refers to a visual phenomenon in which a two-dimensional figure rotating in the fronto-parallel plane about the visual axis can create the impression of a three-dimensional (3-D) object. Although several characteristics of SKE suggest that the perceptual mechanisms involved in SKE may differ from those of the kinetic depth effect (KDE), the differences between SKE...