Out-of-Sample Prediction in Multidimensional P-Spline Models

Multidimensional P-spline Mixed Models: A unified approach to smoothing on large grids

We consider multidimensional penalized spline mixed models. Currie et al. (2006) emphasized the array nature of the method and Eilers et al. (2006) used multidimensional P -splines together with a new fast and compact algorithm. We combine these ideas and show how to represent multidiensional Psplines as mixed models and propose an atractive unified approach to models which include smooth and r...

The out-of-sample problem for classical multidimensional scaling

Out-of-sample embedding techniques insert additional points into previously constructed configurations. An out-of-sample extension of classical multidimensional scaling is presented. The out-of-sample extension is formulated as an unconstrained nonlinear least-squares problem. The objective function is a fourth-order polynomial, easily minimized by standard gradient-based methods for numerical ...

The Out-of-Sample Problem for Classical Multidimensional Scaling: Addendum

Trosset and Priebe [11] based their out-of-sample extension of classical multidimensional scaling (CMDS) on the fact that CMDS approximates fallible inner product data with Euclidean inner products. Applying this criterion to the out-of-sample case results in a nonlinear optimization problem. For the special case of embedding a single point, Trosset and Priebe noted that dropping the quartic te...

prediction of ignition delay period in d.i diesel engines

a semi-empirical mathematical model for predicting physical part of ignition delay period in the combustion of direct - injection diesel engines with swirl is developed . this model based on a single droplet evaporation model . the governing equations , namely , equations of droplet motion , heat and mass transfer were solved simultaneously using a rung-kutta step by step unmerical method . the...

Working Paper Alfred P. Sloan School of Management Selection of Econometric Models with Out-of-sample Data with Out-of-sample Data Rec Selection of Econometric Models with Out-of-sample Data