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The Energy of Data and Distance Correlation, 数据能量与距离相关性,
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-07-03 DOI: 10.1080/00401706.2023.2237818
S. Lipovetsky
This section will review those books whose content and level reflect the general editorial policy of Technometrics. Publishers should send books for review to Ejaz Ahmed, Department of Mathematics and Sciences, Brock University, St. Catharines, ON L2S 3A1 (sahmed5@brocku.ca). The opinions expressed in this section are those of the reviewers. These opinions do not represent positions of the reviewers’ organization and may not reflect those of the editors or the sponsoring societies. Listed prices reflect information provided by the publisher and may not be current. The book purchase programs of the American Society for Quality can provide some of these books at reduced prices for members. For information, contact the American Society for Quality at 1 (800) 248-1946.
本节将回顾那些内容和水平反映技术计量学总体编辑政策的书籍。出版商应将书籍寄至圣凯瑟琳市布洛克大学数学与科学系Ejaz Ahmed,地址:ON L2S 3A1 (sahmed5@brocku.ca)。本节仅代表审稿人的意见。这些意见不代表审稿人组织的立场,也可能不反映编辑或主办单位的立场。列出的价格反映了出版商提供的信息,可能不是最新的。美国质量协会的图书购买计划可以为会员提供一些降价的书籍。欲了解更多信息,请致电1(800)248-1946与美国质量协会联系。
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引用次数: 0
Spatio-Temporal Analysis and Prediction of Mass Telecommunication Base Station Failure Events 大规模通信基站故障事件的时空分析与预测
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-06-28 DOI: 10.1080/00401706.2023.2231491
Tong Wu, Yudong Wang, Z. Ye, Nan Chen
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引用次数: 0
Bayesian modeling and inference for one-shot experiments 单次实验贝叶斯建模与推理
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-06-14 DOI: 10.1080/00401706.2023.2224524
J. Rougier, Andrew Duncan
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引用次数: 0
A General Framework for Robust Monitoring of Multivariate Correlated Processes 多元相关过程鲁棒监测的一般框架
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-06-12 DOI: 10.1080/00401706.2023.2224411
Xiulin Xie, P. Qiu
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引用次数: 0
Sequential Bayesian experimental design for calibration of expensive simulation models 用于校准昂贵仿真模型的序列贝叶斯实验设计
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-05-25 DOI: 10.1080/00401706.2023.2246157
O. Surer, M. Plumlee, Stefan M. Wild
Simulation models of critical systems often have parameters that need to be calibrated using observed data. For expensive simulation models, calibration is done using an emulator of the simulation model built on simulation output at different parameter settings. Using intelligent and adaptive selection of parameters to build the emulator can drastically improve the efficiency of the calibration process. The article proposes a sequential framework with a novel criterion for parameter selection that targets learning the posterior density of the parameters. The emergent behavior from this criterion is that exploration happens by selecting parameters in uncertain posterior regions while simultaneously exploitation happens by selecting parameters in regions of high posterior density. The advantages of the proposed method are illustrated using several simulation experiments and a nuclear physics reaction model.
关键系统的仿真模型通常具有需要使用观测数据进行校准的参数。对于昂贵的模拟模型,校准是使用在不同参数设置的模拟输出上建立的模拟模型的模拟器来完成的。使用智能和自适应的参数选择来构建模拟器可以大大提高校准过程的效率。本文提出了一个序列框架,该框架具有一个新的参数选择标准,旨在学习参数的后验密度。该准则的突出表现是,勘探是通过在不确定的后验区域中选择参数来进行的,而开发则是通过在高后验密度区域中选择系数来进行的。通过几个模拟实验和核物理反应模型说明了该方法的优点。
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引用次数: 0
Fast robust location and scatter estimation: a depth-based method 快速鲁棒定位和散射估计:一种基于深度的方法
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-05-13 DOI: 10.1080/00401706.2023.2216246
Maoyu Zhang, Yan Song, Wenlin Dai
The minimum covariance determinant (MCD) estimator is ubiquitous in multivariate analysis, the critical step of which is to select a subset of a given size with the lowest sample covariance determinant. The concentration step (C-step) is a common tool for subset-seeking; however, it becomes computationally demanding for high-dimensional data. To alleviate the challenge, we propose a depth-based algorithm, termed as texttt{FDB}, which replaces the optimal subset with the trimmed region induced by statistical depth. We show that the depth-based region is consistent with the MCD-based subset under a specific class of depth notions, for instance, the projection depth. With the two suggested depths, the texttt{FDB} estimator is not only computationally more efficient but also reaches the same level of robustness as the MCD estimator. Extensive simulation studies are conducted to assess the empirical performance of our estimators. We also validate the computational efficiency and robustness of our estimators under several typical tasks such as principal component analysis, linear discriminant analysis, image denoise and outlier detection on real-life datasets. A R package textit{FDB} and potential extensions are available in the Supplementary Materials.
最小协方差行列式(MCD)估计器在多变量分析中普遍存在,其关键步骤是选择具有最低样本协方差行列式的给定大小的子集。集中步骤(C步骤)是一种常见的子集搜索工具;然而,对高维数据的计算要求越来越高。为了缓解这一挑战,我们提出了一种基于深度的算法,称为texttt{FDB},该算法将最优子集替换为统计深度引起的修剪区域。我们表明,在一类特定的深度概念下,例如投影深度,基于深度的区域与基于MCD的子集是一致的。有了两个建议的深度,texttt{FDB}估计器不仅在计算上更高效,而且达到了与MCD估计员相同的鲁棒性水平。我们进行了大量的模拟研究来评估我们的估计量的经验性能。我们还验证了我们的估计量在几个典型任务下的计算效率和稳健性,如主成分分析、线性判别分析、图像去噪和真实数据集上的异常值检测。补充材料中提供了R包textit{FDB}和潜在的扩展。
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引用次数: 0
Sequential Designs for Filling Output Spaces 填充输出空间的顺序设计
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-05-12 DOI: 10.1080/00401706.2023.2231042
Shangkun Wang, H. Milton, Adam P. Generale, S. Kalidindi, George W. Woodruff, V. Roshan, Joseph H. Milton
Space-filling designs are commonly used in computer experiments to fill the space of inputs so that the input-output relationship can be accurately estimated. However, in certain applications such as inverse design or feature-based modeling, the aim is to fill the response or feature space. In this article, we propose a new experimental design framework that aims to fill the space of the outputs (responses or features). The design is adaptive and model-free, and therefore is expected to be robust to different kinds of modeling choices and input-output relationships. Several examples are given to show the advantages of the proposed method over the traditional input space-filling designs.
填充空间设计是计算机实验中常用的一种填充输入空间的设计,可以准确地估计输入-输出关系。然而,在某些应用中,如逆设计或基于特征的建模,其目的是填充响应或特征空间。在本文中,我们提出了一个新的实验设计框架,旨在填补输出(响应或特征)的空间。该设计是自适应和无模型的,因此期望对不同类型的建模选择和输入输出关系具有鲁棒性。算例表明了该方法相对于传统的输入空间填充设计的优越性。
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引用次数: 1
Constructing a simulation surrogate with partially observed output 构造具有部分观测输出的模拟代理
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-04-19 DOI: 10.1080/00401706.2023.2210170
Moses Y H Chan, M. Plumlee, Stefan M. Wild
Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these surrogates. However, surrogate methods with dimension reduction generally rely on complete output training data. This article proposes a new Gaussian process surrogate method that permits the use of partially observed output while remaining computationally efficient. The new method involves the imputation of missing values and the adjustment of the covariance matrix used for Gaussian process inference. The resulting surrogate represents the available responses, disregards the missing responses, and provides meaningful uncertainty quantification. The proposed approach is shown to offer sharper inference than alternatives in a simulation study and a case study where an energy density functional model that frequently returns incomplete output is calibrated.
高斯过程替代是直接使用计算成本高的模拟模型的流行替代方法。当模拟输出包含许多响应时,通常采用降维技术来构建这些代理。然而,降维的替代方法通常依赖于完整的训练数据输出。本文提出了一种新的高斯过程替代方法,允许使用部分观察到的输出,同时保持计算效率。该方法包括缺失值的输入和用于高斯过程推理的协方差矩阵的调整。结果代理表示可用的响应,忽略缺失的响应,并提供有意义的不确定性量化。在模拟研究和案例研究中,所提出的方法被证明比其他方法提供更清晰的推断,其中能量密度函数模型经常返回不完整输出进行校准。
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引用次数: 0
Statistical Learning for Nonlinear Dynamical Systems with Applications to Aircraft-UAV Collisions 非线性动力系统的统计学习及其在飞机-无人机碰撞中的应用
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-04-17 DOI: 10.1080/00401706.2023.2203175
Xinchao Liu, Xiao Liu, T. Kaman, Xiaohua Lu, Guang Lin
ABSTRACT This article investigates a physics-informed statistical approach capable of (i) learning nonlinear system dynamics by using data generated from a nonlinear system as well as the underlying governing physics, and (ii) predicting system dynamics with reasonable accuracy and a computational speed much faster than numerical methods. The proposed approach obtains the reduced-order model from the full-order governing equations. A function-to-function regression, based on multivariate Functional Principal Component Analysis, establishes the mapping between external forcing and system dynamics, while a multivariate Gaussian Process is used to capture the relationship between parameters and external forcing. In the application, the proposed approach is applied to predict aircraft nose skin deformation after Unmanned Aerial Vehicle (UAV) collisions at different impact attitudes (i.e., pitch, yaw and roll degrees). We show that the proposed physics-informed statistical model can achieve a 12% out-of-sample mean relative error, and is more than 103 times faster than Finite Element Analysis (FEA). Computer code and sample data are available on GitHub.
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引用次数: 0
Penalized estimation of sparse Markov regime-switching vector auto-regressive models 稀疏Markov状态切换向量自回归模型的惩罚估计
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-04-10 DOI: 10.1080/00401706.2023.2201336
Gilberto Chávez-Martínez, Ankush Agarwal, Abbas Khalili, S. E. Ahmed
Abstract We consider sparse Markov regime-switching vector autoregressive (MSVAR) models in which the regimes are governed by a latent homogeneous Markov chain. In practice, even for moderate values of the number of Markovian regimes and data dimension, the associated MSVAR model has a large parameter dimension compared to a typical sample size. We provide a unified penalized conditional likelihood approach for estimating sparse MSVAR models. We show that our proposed estimators are consistent and recover the sparse structure of the model. We also show that, when the number of regimes is correctly or over-specified, our method provides consistent estimation of the predictive density. We develop an efficient implementation of the method based on a modified Expectation-Maximization (EM) algorithm. We discuss strategies for estimation of the number of regimes. We evaluate finite-sample performance of the method via simulations, and further demonstrate its utility by analyzing a real dataset.
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引用次数: 0
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Technometrics
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