This paper introduces a new method of calculating the expected improvement infill criterion, which does not rely on accurate model parameter estimation. The parameter estimation is embedded within the search of the infill criterion, wherein parameter changes are assessed using likelihood ratio tests. Unlike the traditional expected improvement, a new formulation we present cannot be ‘fooled’ by...

We present in this short note an idea about a possible extension of the standard noncommutative algebra of coordinates to the formal differential operators framework. In this sense, we develop an analysis and derive an extended noncommutative structure given by [xa, xb]⋆ = i(θ + χ)ab where θab is the standard noncommutativity parameter and χab(x) ≡ χ μ ab(x)∂μ = 1 2(xaθ μ b − xbθ μ a)∂μ is an a...

In this paper, we investigate the role of native geometry on the kinetics of protein folding based on simple lattice models and Monte Carlo simulations. Results obtained within the scope of the Miyazawa-Jernigan indicate the existence of two dynamical folding regimes depending on the protein chain length. For chains larger than 80 amino acids, the folding performance is sensitive to the native ...

In computer graphics, procedural methods and Lsystems are common approaches to model complex botanical trees. In contrast to previous tree modeling systems, we propose linking rules, parameters and geometry to semantic entities. This has the avantage that when an entity is clicked in the viewport, its parameters can be displayed immediately, and viewport editing operations can be reflected in t...

In this paper absorption loss & negative magnetic permeability feature of split ring resonator (SRR) is demonstrated & discussed at length for rectangular as well as circular geometry in microwave frequency region. Reflection as well as transmission parameter of SRR for the afro mentioned geometry is presented. The transmission shows a dip for propagation along the direction of split ring reson...

We study a strongly adsorbed flexible polyelectrolyte chain on tori. In this generalized Thomson problem, the patterns of the adsorbed chain are analyzed in the space of the toroidal coordinates and in terms of the orientation of each chain segment. Various patterns are found, including double spirals, disclination-like structures, Janus tori, and uniform wrappings, arising from the long-range ...

Considering the kinematics of the moving frame associated with a constant mean curvature surface immersed in S we derive a linear problem with the spectral parameter corresponding to elliptic sinh-Gordon equation. The spectral parameter is related to the radius R of the sphere S. The application of the Sym formula to this linear problem yields constant mean curvature surfaces in E. Independentl...

This paper details a novel approach to automatically selecting images which improve camera calibration results. An algorithm is presented which identifies calibration images that inherently improve camera parameter estimates based on their geometric configuration or image network geometry. Analysing images in a more intuitive geometric framework allows image networks to be formed based on the r...

Nonparametric regression, often called smoothing, is a widely used data analysis method. The use of a smoother requires the choice of a smoothing parameter that by balancing Ž delity and roughness controls how much smoothing is done. Two popular selection criteria for choosing the smoothing parameter are Cp and generalized maximum likelihood (GML). Each of these has its own problems. For Cp , t...