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In this work we propose an Uncertainty Quantification methodology for sedimentary basins evolution under mechanical and geochemical compaction processes, which we model as a coupled, time-dependent, non-linear, monodimensional (depth-only)…

数值分析 · 数学 2017-11-22 Ivo Colombo , Fabio Nobile , Giovanni Porta , Anna Scotti , Lorenzo Tamellini

Reliable uncertainty estimation for 3D object detection is critical for deploying safe autonomous systems, yet modern detectors remain poorly calibrated, especially under distribution shifts. Although post-hoc calibration methods address…

计算机视觉与模式识别 · 计算机科学 2026-05-08 Till Beemelmanns , Alexey Nekrasov , Stefan Vilceanu , Jonas Steinhaus , Timo Woopen , Bastian Leibe , Lutz Eckstein

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

最优化与控制 · 数学 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

Most mobile robots follow a modular sense-planact system architecture that can lead to poor performance or even catastrophic failure for visual inertial navigation systems due to trajectories devoid of feature matches. Planning in belief…

机器人学 · 计算机科学 2024-10-30 Shatil Rahman , Steven L. Waslander

An efficient topology optimization method applicable to both continuum and rarefied gas flows is proposed in the framework of gas-kinetic theory. The areas of gas and solid are marked by the material density, based on which a fictitious…

流体动力学 · 物理学 2023-08-15 Ruifeng Yuan , Lei Wu

Machine learning can significantly improve performance for decision-making under uncertainty across a wide range of domains. However, ensuring robustness guarantees requires well-calibrated uncertainty estimates, which can be difficult to…

机器学习 · 计算机科学 2026-02-03 Christopher Yeh , Nicolas Christianson , Alan Wu , Adam Wierman , Yisong Yue

Estimating the mixing density of a latent mixture model is an important task in signal processing. Nonparametric maximum likelihood estimation is one popular approach to this problem. If the latent variable distribution is assumed to be…

统计方法学 · 统计学 2024-03-01 Shijie Wang , Minsuk Shin , Ray Bai

Development of robust dynamical systems and networks such as autonomous aircraft systems capable of accomplishing complex missions faces challenges due to the dynamically evolving uncertainties coming from model uncertainties, necessity to…

A thermophysical model is developed that can predict the properties of two lignin mixtures, black liquor and lignosulfonates, up to 50% mass fractions, at hydrothermal conditions. An uncertainty quantification framework linked with classic…

流体动力学 · 物理学 2022-02-28 A. Dinis S. Nunes , José Sierra-Pallares , Khanh-Quang Tran , R. Jason Hearst

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

机器学习 · 计算机科学 2022-06-07 Valentin Arkov

To solve a real-world problem, the modeler usually needs to make a trade-off between model complexity and usefulness. This is also true for robust optimization, where a wide range of models for uncertainty, so-called uncertainty sets, have…

最优化与控制 · 数学 2019-01-14 Francis Garuba , Marc Goerigk , Peter Jacko

The Bayesian uncertainty quantification technique has become well established in turbulence modeling over the past few years. However, it is computationally expensive to construct a globally accurate surrogate model for Bayesian inference…

数据分析、统计与概率 · 物理学 2022-03-16 Fanzhi Zeng , Wei Zhang , Jinping Li , Tianxin Zhang , Chao Yan

A numerically efficient inverse method for parametric model uncertainty identification using maximum likelihood estimation is presented. The goal is to identify a probability model for a fixed number of model parameters based on a set of…

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

系统与控制 · 电气工程与系统科学 2020-12-18 Sebastian Kersting , Michael Kohler

When the cost of misclassifying a sample is high, it is useful to have an accurate estimate of uncertainty in the prediction for that sample. There are also multiple types of uncertainty which are best estimated in different ways, for…

机器学习 · 计算机科学 2019-03-18 Richard Harang , Ethan M. Rudd

Dealing with meteorological uncertainty poses a major challenge in air traffic management (ATM). Convective weather (commonly referred to as storms or thunderstorms) in particular represents a significant safety hazard that is responsible…

最优化与控制 · 数学 2018-06-08 Daniel Hentzen , Maryam Kamgarpour , Manuel Soler , Daniel González-Arribas

Stereo matching plays a crucial role in various applications, where understanding uncertainty can enhance both safety and reliability. Despite this, the estimation and analysis of uncertainty in stereo matching have been largely overlooked.…

计算机视觉与模式识别 · 计算机科学 2025-03-20 Wenxiao Cai , Dongting Hu , Ruoyan Yin , Jiankang Deng , Huan Fu , Wankou Yang , Mingming Gong

This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures motivated by risk measures from finance leading to a…

最优化与控制 · 数学 2019-05-14 Simone Göttlich , Stephan Knapp

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

最优化与控制 · 数学 2020-09-22 Polina Alexeenko , Eilyan Bitar

Existing approaches of prescriptive analytics -- where inputs of an optimization model can be predicted by leveraging covariates in a machine learning model -- often attempt to optimize the mean value of an uncertain objective. However,…

机器学习 · 计算机科学 2025-03-05 Dimitris Bertsimas , Benjamin Boucher