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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…

Computation · Statistics 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…

Machine Learning · Statistics 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…

Machine Learning · Computer Science 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…

General Finance · Quantitative Finance 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…

Machine Learning · Computer Science 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…

Methodology · Statistics 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…

Machine Learning · Computer Science 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…

Neural and Evolutionary Computing · Computer Science 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…

Systems and Control · Electrical Eng. & Systems 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…

Systems and Control · Electrical Eng. & Systems 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…

Methodology · Statistics 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,…

Machine Learning · Statistics 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…

Statistical Finance · Quantitative Finance 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…

Software Engineering · Computer Science 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…

Robotics · Computer Science 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…

Machine Learning · Statistics 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.…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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,…