A new method for gradient-based optimization of electromagnetic systems using parametric sensitivity macromodels is presented. Parametric macromodels accurately describe the parameterized frequency behavior of electromagnetic systems and their corresponding parameterized sensitivity responses with respect to design parameters, such as layout and substrate parameters. A set of frequency-dependen...

-The set of all solutions of the minimal design problem (MDP) is presented in parametric form. This result is obtained by first deriving a parametric representation of all minimal bases of a particular vector space.From this the set of all solutions of the MDP are obtained. Then conditipns are placed on the. parameters, which conditions define set of stable solutions of the MDP. Solutions to th...

Given a nite curvilinear simplicial complex in R3, made up of properlyjoined parametric patches de ned in terms of control points, it is of interest to know under what conditions the complex will retain its original topological form when the control points are perturbed. For example, the patches might be triangular B ezier surface patches, and the complex may represent the boundary of a solid i...

The multinomial logit model (MNL) is one of the most frequently used statistical models in marketing applications. It allows to relate an unordered categorical response variable, for example representing the choice of a brand, to a vector of covariates such as the price of the brand or variables characterising the consumer. In its classical form, all covariates enter in strictly parametric, lin...

This paper considers a class of parametric models with nonparametric autoregressive errors. A new test is proposed and studied to deal with the parametric specification of the nonparametric autoregressive errors with either stationarity or nonstationarity. Such a test procedure can initially avoid misspecification through the need to parametrically specify the form of the errors. In other words...

This paper studies continuity of the normal form and the context operators as functions in the infinitary lambda calculus. We consider the Scott topology on the cpo of the finite and infinite terms with the prefix relation. We prove that the only continuous parametric trees are Böhm and Lévy–Longo trees. We also prove a general statement: if the normal form function is continuous then so is the...

Suppose the random vector (X,Y ) satisfies the regression model Y = m(X) + σ(X)ε, where m(·) = E(Y |·), σ2(·) = Var(Y |·) and ε is independent of X. The covariate X is d-dimensional (d ≥ 1), the response Y is one-dimensional, and m and σ are unknown but smooth functions. In this paper we study goodness-of-fit tests for the parametric form of the error distribution under this model, without assu...

Assessing natural selection on a phenotypic trait in wild populations is of primary importance for evolutionary ecologists. To cope with the imperfect detection of individuals inherent to monitoring in the wild, we develop a nonparametric method for evaluating the form of natural selection on a quantitative trait using mark-recapture data. Our approach uses penalized splines to achieve flexibil...

A non-parametric approach is proposed for shape design of free-form shells discretized into triangular mesh. The forms curvatures are used computing the fairness measures surface. defined as area offset surface and generalized form Gauss map. Gaussian curvature mean computed using angle defect cotangent formula, respectively, in field discrete differential geometry. Optimization problems formul...