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Bayesian Optimization via Exact Penalty 通过精确惩罚进行贝叶斯优化
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2024-02-07 DOI: 10.1080/00401706.2024.2315937
Jiangyan Zhao, Jin Xu
Constrained optimization problems pose challenges when the objective function and constraints are nonconvex and their evaluation requires expensive black-box simulations. Recently, hybrid optimizat...
如果目标函数和约束条件是非凸的,并且其评估需要昂贵的黑箱模拟,那么约束优化问题就会带来挑战。最近,混合优化技术(Hybrid optimizat...
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引用次数: 0
Moving sum procedure for change point detection under piecewise linearity 片线性条件下变化点检测的移动总和程序
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2024-01-22 DOI: 10.1080/00401706.2024.2308202
Joonpyo Kim, Hee-Seok Oh, Haeran Cho
Abstract–We propose a computationally and statistically efficient procedure for segmenting univariate data under piecewise linearity. The proposed moving sum (MOSUM) methodology detects multiple ch...
摘要--我们提出了一种计算和统计上高效的程序,用于在片线性条件下分割单变量数据。所提出的移动总和(MOSUM)方法可检测多个脉...
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引用次数: 0
Discrepancy measures for global sensitivity analysis 全局敏感性分析的差异度量
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2024-01-18 DOI: 10.1080/00401706.2024.2304341
Arnald Puy, Pamphile T. Roy, Andrea Saltelli
While sensitivity analysis improves the transparency and reliability of mathematical models, its uptake by modelers is still scarce. This is partially explained by its technical requirements, which...
虽然灵敏度分析提高了数学模型的透明度和可靠性,但建模人员对它的使用仍然很少。部分原因在于其技术要求,即...
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引用次数: 0
Partial Tail-Correlation Coefficient Applied to Extremal-Network Learning 应用于极端网络学习的部分尾相关系数
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2024-01-10 DOI: 10.1080/00401706.2024.2304334
Yan Gong, Peng Zhong, Thomas Opitz, Raphaël Huser
We propose a novel extremal dependence measure called the partial tail-correlation coefficient (PTCC), in analogy to the partial correlation coefficient in classical multivariate analysis. The cons...
与经典多元分析中的偏相关系数类似,我们提出了一种名为偏尾相关系数(PTCC)的新型极值依赖性测量方法。该系数...
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引用次数: 0
Bayesian Semiparametric Local Clustering of Multiple Time Series Data 多个时间序列数据的贝叶斯半参数局部聚类
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-12-21 DOI: 10.1080/00401706.2023.2288324
Jingjing Fan, Abhra Sarkar
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引用次数: 0
Assessing measurement system agreement in the presence of reproducibility and repeatability 在存在再现性和重复性的情况下评估测量系统的一致性
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-12-18 DOI: 10.1080/00401706.2023.2296465
Adel Ahmadi Nadi, Stefan H. Steiner, Nathaniel T. Stevens
Assessing the agreement between an established and a new measurement system is a practical and important challenge in many application areas. The probability of agreement (PoA) has recently been in...
在许多应用领域中,评估已有测量系统与新测量系统之间的一致性是一项实际而重要的挑战。近来,一致性概率(PoA)在许多应用领域都得到了广泛应用。
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引用次数: 0
A Global-Local Approximation Framework for Large-Scale Gaussian Process Modeling 大规模高斯过程建模的全局-局部近似框架
IF 2.5 3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-12-18 DOI: 10.1080/00401706.2023.2296451
Akhil Vakayil, V. Roshan Joseph
In this work, we propose a novel framework for large-scale Gaussian process (GP) modeling. Contrary to the global, and local approximations proposed in the literature to address the computational b...
在这项工作中,我们为大规模高斯过程(GP)建模提出了一个新颖的框架。与文献中为解决计算难题而提出的全局和局部近似方法相反,我们提出了一种用于大规模高斯过程(GP)建模的新框架。
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引用次数: 0
A graphical multi-fidelity Gaussian process model, with application to emulation of heavy-ion collisions 图形化多保真高斯过程模型,应用于重离子碰撞仿真
3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-11-09 DOI: 10.1080/00401706.2023.2281940
Yi Ji, Simon Mak, Derek Soeder, J-F Paquet, Steffen A. Bass
AbstractWith advances in scientific computing and mathematical modeling, complex scientific phenomena such as galaxy formations and rocket propulsion can now be reliably simulated. Such simulations can however be very time-intensive, requiring millions of CPU hours to perform. One solution is multi-fidelity emulation, which uses data of different fidelities to train an efficient predictive model which emulates the expensive simulator. For complex scientific problems and with careful elicitation from scientists, such multi-fidelity data may often be linked by a directed acyclic graph (DAG) representing its scientific model dependencies. We thus propose a new Graphical Multi-fidelity Gaussian Process (GMGP) model, which embeds this DAG structure (capturing scientific dependencies) within a Gaussian process framework. We show that the GMGP has desirable modeling traits via two Markov properties, and admits a scalable algorithm for recursive computation of the posterior mean and variance along at each depth level of the DAG. We also present a novel experimental design methodology over the DAG given an experimental budget, and propose a nonlinear extension of the GMGP via deep Gaussian processes. The advantages of the GMGP are then demonstrated via a suite of numerical experiments and an application to emulation of heavy-ion collisions, which can be used to study the conditions of matter in the Universe shortly after the Big Bang. The proposed model has broader uses in data fusion applications with graphical structure, which we further discuss.Keywords: Computer experimentsGaussian processesgraphical modelsnuclear physicsmulti-fidelity modelingDisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
摘要随着科学计算和数学建模技术的进步,星系形成和火箭推进等复杂的科学现象可以可靠地模拟。然而,这样的模拟可能非常耗时,需要数百万个CPU小时来执行。一种解决方案是多保真度仿真,它使用不同保真度的数据来训练一个有效的预测模型来模拟昂贵的模拟器。对于复杂的科学问题,在科学家的仔细启发下,这种多保真度数据通常可以通过表示其科学模型依赖关系的有向无环图(DAG)联系起来。因此,我们提出了一个新的图形化多保真高斯过程(GMGP)模型,该模型将DAG结构(捕获科学依赖关系)嵌入到高斯过程框架中。我们通过两个马尔可夫性质证明GMGP具有理想的建模特性,并且允许一种可扩展的算法用于沿DAG的每个深度水平递归计算后验均值和方差。我们还在给定实验预算的情况下提出了一种新的DAG实验设计方法,并通过深度高斯过程提出了GMGP的非线性扩展。GMGP的优势随后通过一系列数值实验和模拟重离子碰撞的应用得到了证明,重离子碰撞可用于研究大爆炸后不久宇宙中物质的状况。所提出的模型在具有图形结构的数据融合应用中具有更广泛的用途,我们将进一步讨论这一点。关键词:计算机实验,高斯过程,图形模型,核物理,多保真度建模,免责声明作为对作者和研究人员的服务,我们提供这个版本的已接受稿件(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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引用次数: 0
A Proportional Intensity Model with Frailty for Missing Recurrent Failure Data 缺失经常性故障数据的具有脆弱性的比例强度模型
3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-11-02 DOI: 10.1080/00401706.2023.2277711
Suk Joo Bae, Byeong Min Mun, Xiaoyan Zhu
AbstractIn some practical circumstances, data are recorded after the systems have begun operations, and data collection is stopped at a predetermined time or after a predetermined number of failures. In such circumstances, incompleteness of various types exists in the aspect of the missing number of failures and their occurrence times beyond the duration of the pilot study. Additionally, multiple repairable systems may present system-to-system variability caused by differences in the operating environments or working loads of individual systems. With respect to left-truncated and right-censored recurrent failure data from multiple repairable systems, we propose a reliability model based on a proportional intensity model with frailty. The frailty model explicitly models unobserved heterogeneity among systems. Covariates incorporated into the proportional intensity model additionally account for the heterogeneity between different operating conditions. To estimate the model parameters for the left-truncated and right-censored recurrent failure data, a Monte Carlo expectation maximization algorithm is proposed. Details of the estimation of the model parameters and the construction of their confidence intervals are examined. A real-world example and simulation studies under various scenarios show prominent applications of the proportional intensity model with frailty to left-truncated and right-censored multiple repairable systems for reliability prediction.1Index Terms: Monte Carlo expectation maximization (MCEM) algorithmnonhomogeneous Poisson processrecurrent failure dataproportional intensity modelrepairable systemDisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
在某些实际情况下,在系统开始运行后记录数据,在预定的时间或预定的故障次数后停止数据收集。在这种情况下,各种类型的不完整性存在于缺失的故障数量和它们的发生时间超过了试点研究的持续时间。此外,多个可修复的系统可能呈现系统到系统的可变性,这是由单个系统的操作环境或工作负载的差异引起的。针对多可修系统的左截右截反复失效数据,提出了一种基于带脆弱性的比例强度模型的可靠性模型。脆弱性模型明确地模拟了系统间未观察到的异质性。纳入比例强度模型的协变量还考虑了不同操作条件之间的异质性。为了估计左截右截反复失效数据的模型参数,提出了一种蒙特卡罗期望最大化算法。详细介绍了模型参数的估计及其置信区间的构造。一个现实世界的例子和各种场景下的仿真研究表明,具有脆弱性的比例强度模型在左截短和右截短的多可修系统可靠性预测中的突出应用。1索引术语:蒙特卡罗期望最大化(MCEM)算法非齐次泊松过程反复失效数据比例强度模型可修复系统免责声明作为对作者和研究人员的服务,我们提供此版本的已接受手稿(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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引用次数: 0
Towards Improved Heliosphere Sky Map Estimation with Theseus 用Theseus改进日球天空图估计
3区 工程技术 Q1 STATISTICS & PROBABILITY Pub Date : 2023-10-24 DOI: 10.1080/00401706.2023.2271017
Dave Osthus, Brian P. Weaver, Lauren J. Beesley, Kelly R. Moran, Madeline A. Stricklin, Eric J. Zirnstein, Paul H. Janzen, Daniel B. Reisenfeld
AbstractThe Interstellar Boundary Explorer (IBEX) satellite has been in orbit since 2008 and detects energy-resolved energetic neutral atoms (ENAs) originating from the heliosphere. Different regions of the heliosphere generate ENAs at different rates. It is of scientific interest to take the data collected by IBEX and estimate spatial maps of heliospheric ENA rates (referred to as sky maps) at higher resolutions than before. These sky maps will subsequently be used to discern between competing theories of heliosphere properties that are not currently possible. The data IBEX collects present challenges to sky map estimation. The two primary challenges are noisy and irregularly spaced data collection and the IBEX instrumentation’s point spread function. In essence, the data collected by IBEX are both noisy and biased for the underlying sky map of inferential interest. In this paper, we present a two-stage sky map estimation procedure called Theseus. In Stage 1, Theseus estimates a blurred sky map from the noisy and irregularly spaced data using an ensemble approach that leverages projection pursuit regression and generalized additive models. In Stage 2, Theseus deblurs the sky map by deconvolving the PSF with the blurred map using regularization. Unblurred sky map uncertainties are computed via bootstrapping. We compare Theseus to a method closely related to the one operationally used today by the IBEX Science Operation Center (ISOC) on both simulated and real data. Theseus outperforms ISOC in nearly every considered metric on simulated data, indicating that Theseus is an improvement over the current state of the art.DisclaimerAs a service to authors and researchers we are providing this version of an accepted manuscript (AM). Copyediting, typesetting, and review of the resulting proofs will be undertaken on this manuscript before final publication of the Version of Record (VoR). During production and pre-press, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal relate to these versions also.
摘要星际边界探测器(IBEX)卫星自2008年以来一直在轨道上运行,探测来自日球层的能量分辨高能中性原子(ENAs)。日球层的不同区域以不同的速率产生ENAs。利用IBEX收集的数据以比以前更高的分辨率估计日球层ENA速率的空间图(称为天空图)具有科学意义。这些天空图随后将被用来辨别目前还不可能的关于日球层性质的相互竞争的理论。IBEX收集的数据对天空地图估计提出了挑战。两个主要的挑战是噪声和不规则间隔的数据收集和IBEX仪器的点扩展函数。从本质上讲,IBEX收集的数据既嘈杂又有偏差,无法用于推断兴趣的底层天象图。在本文中,我们提出了一种称为Theseus的两阶段天空图估计程序。在第一阶段,Theseus利用投影追踪回归和广义加性模型的集成方法,从嘈杂和不规则间隔的数据中估计出模糊的天空图。在第二阶段,忒修斯通过使用正则化将PSF与模糊的地图进行反卷积来模糊天空地图。通过自举计算未模糊的天图不确定度。我们将Theseus与IBEX科学操作中心(ISOC)目前在模拟和实际数据上使用的方法密切相关。在模拟数据上,忒修斯几乎在每一个考虑的指标上都优于ISOC,这表明忒修斯是对当前技术水平的改进。免责声明作为对作者和研究人员的服务,我们提供了这个版本的已接受的手稿(AM)。在最终出版版本记录(VoR)之前,将对该手稿进行编辑、排版和审查。在制作和印前,可能会发现可能影响内容的错误,所有适用于期刊的法律免责声明也与这些版本有关。
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