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Predicting potential risks associated with the fatigue of key structural components is crucial in engineering design. However, fatigue often involves entangled complexities of material microstructures and service conditions, making…

机器学习 · 计算机科学 2024-02-13 Yingjie Zhao , Yong Liu , Zhiping Xu

Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world…

应用统计 · 统计学 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

定量方法 · 定量生物学 2025-08-27 Michael J. Plank , Matthew J. Simpson

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

统计方法学 · 统计学 2017-03-24 Robson J. M. Machado , Ardo van den Hout

Uncertainty quantification (UQ) is the process of systematically determining and characterizing the degree of confidence in computational model predictions. In the context of systems biology, especially with dynamic models, UQ is crucial…

机器学习 · 统计学 2024-10-29 Alberto Portela , Julio R. Banga , Marcos Matabuena

With the increased use of data-driven approaches and machine learning-based methods in material science, the importance of reliable uncertainty quantification (UQ) of the predicted variables for informed decision-making cannot be…

机器学习 · 计算机科学 2024-05-15 Longze Li , Jiang Chang , Aleksandar Vakanski , Yachun Wang , Tiankai Yao , Min Xian

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

计量经济学 · 经济学 2025-11-25 Oguzhan Akgun , Ryo Okui

In this paper, we propose an easy-to-implement residual-based specification testing procedure for detecting structural changes in factor models, which is powerful against both smooth and abrupt structural changes with unknown break dates.…

计量经济学 · 经济学 2025-01-22 Bin Peng , Liangjun Su , Yayi Yan

Obtaining the ability to make informed decisions regarding the operation and maintenance of structures, provides a major incentive for the implementation of structural health monitoring (SHM) systems. Probabilistic risk assessment (PRA) is…

应用统计 · 统计学 2021-01-06 Aidan J. Hughes , Robert J. Barthorpe , N. Dervilis , Charles R. Farrar , Keith Worden

Building resilience into today's complex infrastructures is critical to the daily functioning of society and its ability to withstand and recover from natural disasters, epidemics, and cyber-threats. This study proposes quantitative…

Thermal history models, that have been used to understand the geological history of Earth, are now being coupled to climate models to map conditions that allow planets to maintain surface water over geologic time - a criteria considered…

地球与行星天体物理 · 物理学 2020-01-08 Johnny Seales , Adrian Lenardic , William Moore

Predictive variability due to data ambiguities has typically been addressed via construction of dedicated models with built-in probabilistic capabilities that are trained to predict uncertainty estimates as variables of interest. These…

机器学习 · 计算机科学 2023-08-04 Katarína Tóthová , Ľubor Ladický , Daniel Thul , Marc Pollefeys , Ender Konukoglu

Interpretability is often pointed out as a key requirement for trustworthy machine learning. However, learning and releasing models that are inherently interpretable leaks information regarding the underlying training data. As such…

人工智能 · 计算机科学 2024-04-04 Julien Ferry , Ulrich Aïvodji , Sébastien Gambs , Marie-José Huguet , Mohamed Siala

Robust optimization safeguards decisions against uncertainty by optimizing against worst-case scenarios, yet their effectiveness hinges on a prespecified robustness level that is often chosen ad hoc, leading to either insufficient…

机器学习 · 统计学 2026-02-02 Wenbin Zhou , Shixiang Zhu

Process capability indices such as $C_{pk}$ are widely used for manufacturing decisions, yet are typically applied via deterministic thresholding of finite-sample estimates, ignoring uncertainty and leading to unstable outcomes near the…

应用统计 · 统计学 2026-04-16 Fei Jiang , Lei Yang

Accurate prediction of dynamical response of structural system depends on the correct modeling of that system. However, modeling becomes increasingly challenging when there are many candidate models available to describe the system…

应用统计 · 统计学 2025-10-06 Subhayan De , Tianhao Yu , Patrick T. Brewick , Erik A. Johnson , Steven F. Wojtkiewicz

We present a novel robust control framework for continuous-time, perturbed nonlinear dynamical systems with uncertainty that depends nonlinearly on both the state and control inputs. Unlike conventional approaches that impose structural…

最优化与控制 · 数学 2025-07-21 Sihang Wei , Melkior Ornik , Hiroyasu Tsukamoto

This work proposes a novel theoretical framework of robust limit analysis i.e. the computation of limit loads of structures in presence of uncertainties using limit analysis and robust optimization theories. We first derive generic robust…

最优化与控制 · 数学 2022-03-23 Jeremy Bleyer , Vincent Leclère

This chapter covers methodological issues related to estimation, testing and computation for models involving structural changes. Our aim is to review developments as they relate to econometric applications based on linear models.…

计量经济学 · 经济学 2018-05-11 Alessandro Casini , Pierre Perron

To date, most probabilistic reasoning systems have relied on a fixed belief network constructed at design time. The network is used by an application program as a representation of (in)dependencies in the domain. Probabilistic inference…

人工智能 · 计算机科学 2013-03-25 Robert P. Goldman , John S. Breese