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In this paper, we address the problem of designing an experimental plan with both discrete and continuous factors under fairly general parametric statistical models. We propose a new algorithm, named ForLion, to search for locally optimal…

Computation · Statistics 2024-05-24 Yifei Huang , Keren Li , Abhyuday Mandal , Jie Yang

We develop $D$-optimal designs for linear models with first-order interactions on a subset of the $2^K$ full factorial design region, when both the number of factors set to the higher level and the number of factors set to the lower level…

Statistics Theory · Mathematics 2019-05-14 Fritjof Freise , Rainer Schwabe

The optimization of composition and processing to obtain materials that exhibit desirable characteristics has historically relied on a combination of scientist intuition, trial and error, and luck. We propose a methodology that can…

Machine Learning · Statistics 2017-07-20 Julia Ling , Max Hutchinson , Erin Antono , Sean Paradiso , Bryce Meredig

Subsampling is commonly used to overcome computational and economical bottlenecks in the analysis of finite populations and massive datasets. Existing methods are often limited in scope and use optimality criteria (e.g., A-optimality) with…

Statistics Theory · Mathematics 2023-04-07 Henrik Imberg , Marina Axelson-Fisk , Johan Jonasson

This study presents a generative optimization framework that builds on a fine-tuned diffusion model and reward-directed sampling to generate high-performance engineering designs. The framework adopts a parametric representation of the…

Machine Learning · Computer Science 2025-08-05 Hadi Keramati , Patrick Kirchen , Mohammed Hannan , Rajeev K. Jaiman

We construct optimal designs for estimating fetal malformation rate, prenatal death rate and an overall toxicity index in a toxicology study under a broad range of model assumptions. We use Weibull distributions to model these rates and…

Methodology · Statistics 2009-02-10 Holger Dette , Andrey Pepelyshev , Weng Kee Wong

We consider cDNA microarray experiments when the cell populations have a factorial structure, and investigate the problem of their optimal designing under a baseline parametrization where the objects of interest differ from those under the…

Applications · Statistics 2008-12-18 Tathagata Banerjee , Rahul Mukerjee

Diffusion models are learning pattern-learning systems to model and sample from data distributions with three functional components namely the forward process, the reverse process, and the sampling process. The components of diffusion…

Machine Learning · Computer Science 2025-06-02 Ziyi Chang , George Alex Koulieris , Hyung Jin Chang , Hubert P. H. Shum

This Letter introduces an approach for precisely designing surface friction properties using a conditional generative machine learning model, specifically a diffusion denoising probabilistic model (DDPM). We created a dataset of synthetic…

Computational Physics · Physics 2024-01-11 Even Marius Nordhagen , Henrik Andersen Sveinsson , Anders Malthe-Sørenssen

We investigate the possibility of extending some results of Pazman and Pronzato (2014) to a larger set of optimality criteria. Namely, in a linear regression model the problem of computing D-, A-, E_k-optimal designs, of combining these…

Computation · Statistics 2015-04-24 Katarina Burclova , Andrej Pazman

As processor performance advances, increasing power densities and complex thermal behaviors threaten both energy efficiency and system reliability. This survey covers more than two decades of research on power and thermal modeling and…

Systems and Control · Electrical Eng. & Systems 2025-08-08 David Atienza , Kai Zhu , Darong Huang , Luis Costero

The study of experimental design offers tremendous benefits for answering causal questions across a wide range of applications, including agricultural experiments, clinical trials, industrial experiments, social experiments, and digital…

Methodology · Statistics 2024-08-27 Jinglong Zhao

Reaction-Diffusion (RD) systems provide a computational framework that governs many pattern formation processes in nature. Current RD system design practices boil down to trial-and-error parameter search. We propose a differentiable…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Alexander Mordvintsev , Ettore Randazzo , Eyvind Niklasson

This article studies the benefits of using spatially randomized experimental designs which partition the experimental area into distinct, non-overlapping units with treatments assigned randomly. Such designs offer improved policy evaluation…

Statistics Theory · Mathematics 2025-11-18 Ying Yang , Chengchun Shi , Fang Yao , Shouyang Wang , Hongtu Zhu

Optimal experiment design for parameter estimation is a research topic that has been in the interest of various studies. A key problem in optimal input design is that the optimal input depends on some unknown system parameters that are to…

Systems and Control · Computer Science 2019-04-17 Lirong Huang , Håkan Hjalmarsson , László Gerencsér

This paper presents a method to simulate the thermal behavior of 3D systems using a graph neural network. The method discussed achieves a significant speed-up with respect to a traditional finite-element simulation. The graph neural network…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Helios Sanchis-Alepuz , Monika Stipsitz

Discrete choice experiments are frequently used to quantify consumer preferences by having respondents choose between different alternatives. Choice experiments involving mixtures of ingredients have been largely overlooked in the…

Methodology · Statistics 2021-09-15 Mario Becerra , Peter Goos

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

The design of an experiment can be always be considered at least implicitly Bayesian, with prior knowledge used informally to aid decisions such as the variables to be studied and the choice of a plausible relationship between the…

Methodology · Statistics 2017-01-03 David C. Woods , Antony M. Overstall , Maria Adamou , Timothy W. Waite

Complex Ornstein-Uhlenbeck (OU) processes have various applications in statistical modelling. They play role e.g. in the description of the motion of a charged test particle in a constant magnetic field or in the study of rotating waves in…

Statistics Theory · Mathematics 2018-08-13 Sándor Baran , Csilla Szák-Kocsis , Milan Stehlík
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