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Mechanistic simulation models are inverted against observations in order to gain inference on modeled processes. However, with the increasing ability to collect high resolution observations, these observations represent more patterns of…

统计计算 · 统计学 2018-12-20 Thomas Wutzler

Despite the widespread utilization of Gaussian process models for versatile nonparametric modeling, they exhibit limitations in effectively capturing abrupt changes in function smoothness and accommodating relationships with heteroscedastic…

机器学习 · 统计学 2023-09-01 Taehee Lee , Jun S. Liu

Gaussian Process (GP) regression is a flexible non-parametric approach to approximate complex models. In many cases, these models correspond to processes with bounded physical properties. Standard GP regression typically results in a proxy…

机器学习 · 计算机科学 2020-04-10 Andrew Pensoneault , Xiu Yang , Xueyu Zhu

We develop a class of non-life reserving models using a stable-1/2 random bridge to simulate the accumulation of paid claims, allowing for an essentially arbitrary choice of a priori distribution for the ultimate loss. Taking an…

综合金融 · 定量金融 2015-03-17 Edward Hoyle , Lane P. Hughston , Andrea Macrina

Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

机器学习 · 计算机科学 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

Assessing the degradation state of an industrial asset first requires evaluating its current condition and then to project the forecast model trajectory to a predefined prognostic threshold, thereby estimating its remaining useful life…

统计方法学 · 统计学 2025-10-06 Edgar Jaber , Emmanuel Remy , Vincent Chabridon , Mathilde Mougeot , Didier Lucor

A network of independently trained Gaussian processes (StackedGP) is introduced to obtain predictions of quantities of interest with quantified uncertainties. The main applications of the StackedGP framework are to integrate different…

机器学习 · 计算机科学 2017-06-20 Kareem Abdelfatah , Junshu Bao , Gabriel Terejanu

Flood risk managers seek to optimise Blue-Green Infrastructure (BGI) designs to maximise return on investment. Current systems often use optimisation algorithms and detailed flood models to maximise benefit-cost ratios for single rainstorm…

神经与进化计算 · 计算机科学 2025-09-09 Asid Ur Rehman , Vassilis Glenis , Elizabeth Lewis , Chris Kilsby , Claire Walsh

This paper deals with the assessment of the performance of a system under a finite planning horizon. The system is subject to two dependent causes of failure: internal degradation and sudden shocks. We assume that internal degradation…

系统与控制 · 电气工程与系统科学 2024-09-21 Nuria Caballé , Inma T. Castro

Modern engineering and scientific workflows often require simultaneous predictions across related tasks and fidelity levels, where high-fidelity data is scarce and expensive, while low-fidelity data is more abundant. This paper introduces…

The interaction between extreme weather events and interdependent critical infrastructure systems involves complex spatiotemporal dynamics. Multi-type emergency decisions within energy-transportation infrastructures significantly influence…

系统与控制 · 电气工程与系统科学 2026-03-26 Jiawei Wang , Qinglai Guo , Haotian Zhao , Bin Wang , Hongbin Sun

The Bayesian additive regression trees (BART) model is an ensemble method extensively and successfully used in regression tasks due to its consistently strong predictive performance and its ability to quantify uncertainty. BART combines…

统计方法学 · 统计学 2023-09-18 Mateus Maia , Keefe Murphy , Andrew C. Parnell

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

机器学习 · 统计学 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

统计金融 · 定量金融 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Self-adaptive systems are capable of adjusting their behavior to cope with the changes in environment and itself. These changes may cause runtime uncertainty, which refers to the system state of failing to achieve appropriate…

软件工程 · 计算机科学 2017-04-11 Zhuoqun Yang , Wei Zhang , Haiyan Zhao , Zhi Jin

For autonomous mobile robots, uncertainties in the environment and system model can lead to failure in the motion planning pipeline, resulting in potential collisions. In order to achieve a high level of robust autonomy, these robots should…

机器人学 · 计算机科学 2024-02-05 Nicholas Mohammad , Jacob Higgins , Nicola Bezzo

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for…

机器学习 · 统计学 2018-05-23 Steven Atkinson , Nicholas Zabaras

Multitask Gaussian processes (MTGP) are the Gaussian process (GP) framework's solution for multioutput regression problems in which the $T$ elements of the regressors cannot be considered conditionally independent given the observations.…

机器学习 · 计算机科学 2022-08-26 Óscar García-Hinde , Vanessa Gómez-Verdejo , Manel Martínez-Ramón

Financial time-series forecasting is a high-stakes problem where regime shifts and shocks make point-accurate yet overconfident models dangerous. We propose Uncertainty-Gated Generative Modeling (UGGM), which treats uncertainty as an…

机器学习 · 计算机科学 2026-03-10 Xingrui Gu , Haixi Zhang

Aging infrastructure portfolios pose a critical resource allocation challenge: deciding which structures require intervention and which can safely remain in service. Structural assessments must balance the trade-off between cheaper,…