Cost estimation is a critical issue for software organizations. Good estimates can help us make more informed decisions (controlling and planning software risks), if they are reliable (correct) and valid (stable). In this study, we apply a variable reduction technique (based on auto-associative feed--forward neural networks – called Curvilinear component analysis) to log-linear regression funct...

Let C(t) : I 7→ R be a simple closed unit-speed C curve in R with normal ~n(t). The curve C generates a distribution Γ which acts on vector fields ~v(x1, x2) : R 2 7→ R by line integration according to Γ(~v) = ∫ ~v(C(t)) · ~n(t)dt. We consider the problem of efficiently approximating such functionals. Suppose we have a vector basis or frame Φ = (~ φμ); then an m-term approximation to Γ can be f...

The 'tHooft's 5N-parametric multiinstanton solution is generalized to curvilinear coordinates. Expressions can be simplified by the gauge transformation that makes η-symbols constant in the vierbein formalism. This generates the compensating addition to the gauge potential of pseudoparticles. Typical examples (4-spherical, 2 + 2-and 3 + 1-cylindrical coordinates) are studied and explicit formul...

The multi-instanton solutions by ’tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. Expressions can be notably simplified by the appropriate gauge transformation. This generates the compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating connection are irrelevant for physics but affect gauge dependent quantities. The third con...

Curvilinear structures are useful features in a variety of applications. Compared to other commonly used features such as edges, there is relatively few work on curvilinear structure detection and its performance evaluation. In this paper we propose a novel supervised methodology for evaluating the performance of curvilinear structure detection algorithms. We consider the two aspects of perform...

In this article, we present efficient and stable numerical schemes to simulate threedimensional quantum dot with irregular shape, so that we can compute all the bound state energies and associated wave functions. A curvilinear coordinate system that fits the target quantum dot shape is first determined. Three finite difference discretizations of the Schrödinger equation are then developed on th...