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Optimal experimental design for parameter precision attempts to maximize the information content in experimental data for a most effective identification of parametric model. With the recent developments in miniaturization and…

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

机器学习 · 计算机科学 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

Calculating the thermal diffusivity of solid materials is commonly carried out using the laser flash experiment. This classical experiment considers a small (usually thin disc-shaped) sample of the material with parallel front and rear…

计算物理 · 物理学 2023-01-04 Elliot J. Carr , Luke P. Filippini

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

统计方法学 · 统计学 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

The impressive performance exhibited by modern machine learning models hinges on the ability to train such models on a very large amounts of labeled data. However, since access to large volumes of labeled data is often limited or expensive,…

机器学习 · 计算机科学 2021-04-27 Neta Shoham , Haim Avron

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

机器学习 · 计算机科学 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

统计理论 · 数学 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

Model-based reinforcement learning methods often use learning only for the purpose of estimating an approximate dynamics model, offloading the rest of the decision-making work to classical trajectory optimizers. While conceptually simple,…

机器学习 · 计算机科学 2022-12-22 Michael Janner , Yilun Du , Joshua B. Tenenbaum , Sergey Levine

The inverse design of metasurfaces faces inherent challenges due to the nonlinear and highly complex relationship between geometric configurations and their electromagnetic behavior. Traditional optimization approaches often suffer from…

We consider optimal non-sequential designs for a large class of (linear and nonlinear) regression models involving polynomials and rational functions with heteroscedastic noise also given by a polynomial or rational weight function. The…

统计计算 · 统计学 2011-08-30 Dávid Papp

Model-based process design and operation involves here-and-now and wait-and-see decisions. Here-and-now decisions include design variables like the size of heat exchangers or the height of distillation columns, whereas wait-and-see…

Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. There data from particular tests at high levels of stress (e.\,g.\ temperature,…

应用统计 · 统计学 2021-10-13 Helmi Shat , Rainer Schwabe

The design of an experiment, e.g., the setting of initial conditions, strongly influences the accuracy of the whole process of determining model parameters from data. We impose a sensitivity-based approach for choosing optimal design…

数值分析 · 数学 2016-02-11 Stefan Kindermann , Stepan Papacek

Accurate and efficient temperature prediction is critical for optimizing the preheating process of PET preforms in industrial microwave systems prior to blow molding. We propose a novel deep learning framework for generalized temperature…

机器学习 · 计算机科学 2025-10-08 Ahmad Alsheikh , Andreas Fischer

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

统计方法学 · 统计学 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

In the context of estimating material properties of porous walls based on in-site measurements and identification method, this paper presents the concept of Optimal Experiment Design (OED). It aims at searching the best experimental…

计算物理 · 物理学 2020-02-20 Julien Berger , Denys Dutykh , Nathan Mendes

Copula modelling has in the past decade become a standard tool in many areas of applied statistics. However, a largely neglected aspect concerns the design of related experiments. Particularly the issue of whether the estimation of copula…

统计方法学 · 统计学 2014-06-12 Elisa Perrone , Werner G. Müller

As modern electronic devices are increasingly miniaturized and integrated, their performance relies more heavily on effective thermal management. Two-phase cooling methods enhanced by porous surfaces, which capitalize on thin-film…

机器学习 · 计算机科学 2023-10-31 Jonathan Tammer Eweis-LaBolle , Chuanning Zhao , Yoonjin Won , Ramin Bostanabad

The design and optimisation of aircraft wings are critical tasks in aerospace engineering, requiring a balance between structural integrity, aerostructural performance, and manufacturability. This multifaceted challenge involves the…

计算工程、金融与科学 · 计算机科学 2024-11-06 Hauke Maathuis , Saullo G. P. Castro , Roeland De Breuker

Optimal block designs for additive models achieve their efficiency by dividing experimental units among relatively homogenous blocks and allocating treatments equally to blocks. Responses in many modern experiments, however, are drawn from…

统计方法学 · 统计学 2016-01-05 Stephen Bush , Katya Ruggiero