‎in this paper‎, ‎an approach based on statistical spline model (ssm) and collocation method is proposed to solve volterra-fredholm integral equations‎. ‎the set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials‎. ‎under some standard assumptions‎, ‎we establish the convergence property of this approach‎. ‎numerical results on some problems are given...

The aim of the present study was the development of species-habitat models for four Magelona species (Polychaeta: Magelonidae) found in the German Bight in the SE North Sea. Analyses were based on field data and data obtained from reexamination of material deposited in museum collections. In addition, data on environmental variables were retrieved from the sediment map by Figge (1981) and from ...

‎In this paper‎, ‎an approach based on statistical spline model (SSM) and collocation method is proposed to solve Volterra-Fredholm integral equations‎. ‎The set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials‎. ‎Under some standard assumptions‎, ‎we establish the convergence property of this approach‎. ‎Numerical results on some problems are given...

In this paper, we develop a new term structure model of interest rates with combinatorial optimization method based on four classical models: polynomial spline model, exponential spline model, Nelson-Siegel model and Svensson model. Genetic algorithms are employed to solve the combinatorial optimization model. Then, we make some empirical comparisons of five models using daily bond data from Sh...

Abstract. Black-box mathematical models are powerful tools in classification and regression problems. Thanks to the use of (unknown) transformations of the inputs, the outcome can be estimated, improving performance in comparison to standard statistical models. A disadvantage of these complex models however, is their lack of interpretability. This work illustrates how advanced methods can be ma...

Load-sharing among the teeth of involute splines is little understood. Designers typically assume only a fraction of the teeth are engaged and distribute the load uniformly over the assumed number of engaged teeth. This procedure can widely overor underestimate tooth loads. A new statistical model for involute spline tooth engagement has been developed and presented earlier, which takes into ac...

Penalized Spline Estimation in the Partially Linear Model by Ashley D. Holland Co-Chairs: Matias D. Cattaneo and Virginia R. Young Penalized spline estimators have received considerable attention in recent years because of their good finite-sample performance, especially when the dimension of the regressors is large. In this project, we employ penalized B-splines in the context of the partially...

A novel adaptive B-Spline deformable model is presented in this paper for object segmentation. Comparing with other B-Spline models, the proposed model has the following advantages. First, a fully automatic and affine-invariant strategy is proposed for landmark point assignment. Second, contrary to other B-Spline models that rely on predetermined number of control points, an automatic scheme fo...