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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…

统计计算 · 统计学 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…

统计理论 · 数学 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…

机器学习 · 统计学 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…

统计理论 · 数学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

应用统计 · 统计学 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…

机器学习 · 计算机科学 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…

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…

统计计算 · 统计学 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…

系统与控制 · 电气工程与系统科学 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…

统计方法学 · 统计学 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…

神经与进化计算 · 计算机科学 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…

统计理论 · 数学 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…

系统与控制 · 计算机科学 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…

计算工程、金融与科学 · 计算机科学 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…

统计方法学 · 统计学 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…

计算工程、金融与科学 · 计算机科学 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…

统计方法学 · 统计学 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…

统计理论 · 数学 2018-08-13 Sándor Baran , Csilla Szák-Kocsis , Milan Stehlík