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In statistics, forecast uncertainty is often quantified using a specified statistical model, though such approaches may be vulnerable to model misspecification, selection bias, and limited finite-sample validity. While bootstrapping can…

统计方法学 · 统计学 2026-03-12 Han Lin Shang

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

定量方法 · 定量生物学 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

Predictive Maintenance (PdM) can only be implemented when the online knowledge of system condition is available, and this has become available with deployment of on-equipment sensors. To date, most studies on predicting the remaining useful…

系统与控制 · 计算机科学 2020-03-25 Dongjin Lee , Rong Pan

Uncertainty estimation in machine learning has traditionally focused on the prediction stage, aiming to quantify confidence in model outputs while treating learned representations as deterministic and reliable by default. In this work, we…

机器学习 · 统计学 2026-02-20 Yiyao Yang

Structural break identification methods are an important tool for evaluating the effectiveness of climate change mitigation policies. In this paper, we introduce a unified probabilistic framework for detecting structural breaks with unknown…

计量经济学 · 经济学 2026-03-06 Lucas D. Konrad , Lukas Vashold , Jesus Crespo Cuaresma

In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

最优化与控制 · 数学 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Advances in Deep Learning bring further investigation into credibility and robustness, especially for safety-critical engineering applications such as the nuclear industry. The key challenges include the availability of data set (often…

机器学习 · 计算机科学 2024-05-29 Yu Chen , Edoardo Patelli , Zhen Yang , Adolphus Lye

In safety-critical deep learning applications, robustness measures the ability of neural models that handle imperceptible perturbations in input data, which may lead to potential safety hazards. Existing pre-deployment robustness assessment…

机器学习 · 计算机科学 2025-08-27 Wenchuan Mu , Kwan Hui Lim

The reliability of a system of components depends on reliability of each component. Thus, the initial statistical work should be the estimation of the reliability of each component of the system. This is not an easy task because when the…

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

机器学习 · 计算机科学 2026-05-14 Quentin Duchemin , Guillaume Obozinski

Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most…

Scientists use mathematical modelling to understand and predict the properties of complex physical systems. In highly parameterised models there often exist relationships between parameters over which model predictions are identical, or…

数据分析、统计与概率 · 物理学 2017-03-24 Dhruva V. Raman , James Anderson , Antonis Papachristodoulou

The rapid advancement of technology underscores the critical importance of robustness in complex network systems. This paper presents a framework for investigating the structural robustness of interconnected network models. This paper…

物理与社会 · 物理学 2023-11-01 Dong Gaogao , Sun Nannan , Wang Fan

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

系统与控制 · 电气工程与系统科学 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

Structural reliability analysis is concerned with estimation of the probability of a critical event taking place, described by $P(g(\textbf{X}) \leq 0)$ for some $n$-dimensional random variable $\textbf{X}$ and some real-valued function…

统计计算 · 统计学 2021-04-13 Christian Agrell , Kristina Rognlien Dahl

This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

数值分析 · 计算机科学 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

In any domain involving some stressed solids, that is, from seismology to general engineering, the strength of matter is a paramount feature to understand. We here discuss the ability of a simple thermally activated sub-critical model, that…

Remaining Useful Life (RUL) estimation is the problem of inferring how long a certain industrial asset can be expected to operate within its defined specifications. Deploying successful RUL prediction methods in real-life applications is a…

机器学习 · 计算机科学 2021-04-09 Luca Biggio , Alexander Wieland , Manuel Arias Chao , Iason Kastanis , Olga Fink

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

统计方法学 · 统计学 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

The key elements of seismic probabilistic risk assessment studies are the fragility curves which express the probabilities of failure of structures conditional to a seismic intensity measure. A multitude of procedures is currently available…

机器学习 · 统计学 2022-01-17 Clement Gauchy , Cyril Feau , Josselin Garnier