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Fractional polynomial models are potentially useful for response surfaces investigations. With the availability of routines for fitting nonlinear models in statistical packages they are increasingly being used. However, as in all…

Methodology · Statistics 2025-10-29 Luzia A. Trinca , Steven G. Gilmour

Linear regression models are among the models most used in practice, although the practitioners are often not sure whether their assumed linear regression model is at least approximately true. In such situations, only designs for which the…

Statistics Theory · Mathematics 2007-06-13 Wolfgang Bischoff , Frank Miller

We describe the design of optimized multilayer dielectric coatings for precision laser interferometry. By setting up an appropriate cost function and then using a global optimizer to find a minimum in the parameter space, we were able to…

The designers pre-occupation to reduce energy consumption and to achieve better thermal ambience levels, has favoured the setting up of numerous building thermal dynamic simulation programs. The progress in the modelling of phenomenas and…

Computational Engineering, Finance, and Science · Computer Science 2012-12-26 Harry Boyer , François Garde , Jean Claude Gatina , Jean Brau

This article discusses $A$-, $D$- and $E$-optimality results for multivariate crossover designs, where more than one response is measured from every period for each subject. The motivation for these multivariate designs comes from a $3…

Methodology · Statistics 2025-09-22 Shubham Niphadkar , Siuli Mukhopadhyay

The \emph{in situ} estimation of the thermal properties of existing building wall materials is a computationally expensive procedure. Its cost is highly proportional to the duration of measurements. To decrease the computational cost a…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Ainagul Jumabekova , Julien Berger , Aurélie Foucquier , George S. Dulikravich

We construct optimal designs for group testing experiments where the goal is to estimate the prevalence of a trait by using a test with uncertain sensitivity and specificity. Using optimal design theory for approximate designs, we show that…

Statistics Theory · Mathematics 2017-01-05 Shih-Hao Huang , Mong-Na Lo Huang , Kerby Shedden , Weng Kee Wong

Thermal analysis is increasingly critical in modern integrated circuits, where non-uniform power dissipation and high transistor densities can cause rapid temperature spikes and reliability concerns. Traditional methods, such as FEM-based…

Machine Learning · Computer Science 2026-05-05 Soumyadeep Chandra , Sayeed Shafayet Chowdhury , Kaushik Roy

The paper deals with an empirical validation of a building thermal model. We put the emphasis on sensitivity analysis and on research of inputs/residual correlation to improve our model. In this article, we apply a sensitivity analysis…

Data Analysis, Statistics and Probability · Physics 2012-12-24 Thierry Alex Mara , Harry Boyer , François Garde

In this study we address existing deficiencies in the literature on applications of Particle Swarm Optimization to generate optimal designs. We present the results of a large computer study in which we bench-mark both efficiency and…

Neural and Evolutionary Computing · Computer Science 2022-06-15 Stephen J. Walsh , John J. Borkowski

D-Optimal designs for estimating parameters of response models are derived by maximizing the determinant of the Fisher information matrix. For non-linear models, the Fisher information matrix depends on the unknown parameter vector of…

Methodology · Statistics 2026-01-16 Suvrojit Ghosh , Koulik Khamaru , Tirthankar Dasgupta

We propose novel optimal designs for longitudinal data for the common situation where the resources for longitudinal data collection are limited, by determining the optimal locations in time where measurements should be taken. As for all…

Methodology · Statistics 2016-04-20 Hao Ji , Hans-Georg Müller

Flash-boiling injection is one of the most effective ways to accomplish improved atomization compared to the high-pressure injection strategy. The tiny droplets formed via flash-boiling lead to fast fuel-air mixing and can subsequently…

Fluid Dynamics · Physics 2023-07-10 Avijit Saha , Abhishek Y. Deshmukh , Temistocle Grenga , Heinz Pitsch

In clinical trials, the response of a given subject often depends on the selected treatment as well as on some covariates. We study optimal approximate designs of experiments in the models with treatment and covariate effects. We allow for…

Statistics Theory · Mathematics 2019-07-10 Samuel Rosa

In the chemical, pharmaceutical, and food industries, sometimes the order of adding a set of components has an impact on the final product. These are instances of the order-of-addition (OofA) problem, which aims to find the optimal sequence…

Methodology · Statistics 2024-11-07 Jiayi Zheng , Nicholas Rios

In this work, we address the exact D-optimal experimental design problem by proposing an efficient algorithm that rapidly identifies the support of its continuous relaxation. Our method leverages a column generation framework to solve such…

Optimization and Control · Mathematics 2026-05-18 Selin Ahipasaoglu , Stefano Cipolla , Jacek Gondzio

Selecting the optimal recommender via online exploration-exploitation is catching increasing attention where the traditional A/B testing can be slow and costly, and offline evaluations are prone to the bias of history data. Finding the…

Information Retrieval · Computer Science 2022-03-29 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

We characterize $D$-optimal designs in the two-dimensional Poisson regression model with synergetic interaction and provide an explicit proof. The proof is based on the idea of reparameterization of the design region in terms of contours of…

Statistics Theory · Mathematics 2021-06-17 Fritjof Freise , Ulrike Graßhoff , Frank Röttger , Rainer Schwabe

We present a method of solving the T-optimal design problem for nonlinear dynamical systems using dynamic programming. In contrast with previous dynamic programming formulations, we avoid adding an equation for the dispersion to the system…

Systems and Control · Computer Science 2015-03-26 John Maidens , Murat Arcak

A building design aiding tool for space allocation and thermal performance optimization is being developed to help practitioners during the building space planning phase, predicting how it will behave regarding energy consumption and…

Human-Computer Interaction · Computer Science 2018-06-18 Marco S. Fernandes , E. Rodrigues , Adélio R. Gaspar , Álvaro Gomes