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Graphical models have demonstrated their exceptional capabilities across numerous applications. However, their performance, confidence, and trustworthiness are often limited by the inherent randomness in data generation and the lack of…

机器学习 · 计算机科学 2026-04-15 Chao Chen , Chenghua Guo , Rui Xu , Jiujiu Chen , Xiangwen Liao , Xi Zhang , Sihong Xie , Hui Xiong , Philip Yu

Modern autonomous systems with machine learning components often use uncertainty quantification to help produce assurances about system operation. However, there is a lack of consensus in the community on what uncertainty is and how to…

系统与控制 · 电气工程与系统科学 2026-01-27 Sampada Deglurkar , Haotian Shen , Anish Muthali , Marco Pavone , Dragos Margineantu , Peter Karkus , Boris Ivanovic , Claire J. Tomlin

Reliable uncertainty quantification in trajectory prediction is crucial for safety-critical autonomous driving systems, yet existing deep learning predictors lack uncertainty-aware frameworks adaptable to heterogeneous real-world scenarios.…

机器人学 · 计算机科学 2025-12-08 Yiming Shu , Jiahui Xu , Linghuan Kong , Fangni Zhang , Guodong Yin , Chen Sun

Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among many complex systems in science and engineering. The existence of a strange attractor in the turbulent…

流体动力学 · 物理学 2018-02-23 Andrew J. Majda , Di Qi

Uncertainty in control and perception poses challenges for autonomous vehicle navigation in unstructured environments, leading to navigation failures and potential vehicle damage. This paper introduces a framework that minimizes control and…

机器人学 · 计算机科学 2023-06-27 Junwon Seo , Jungwi Mun , Taekyung Kim

Many applications in aerodynamics, particularly in closed-loop control, depend on sensors to estimate the evolving state of the flow. This estimation task is inherently accompanied by uncertainty due to the noisy measurements of sensors or…

流体动力学 · 物理学 2026-01-07 Jeff D. Eldredge , Hanieh Mousavi

Due to lack of scientific understanding, some mechanisms may be missing in mathematical modeling of complex phenomena in science and engineering. These mathematical models thus contain some uncertainties such as uncertain parameters. One…

概率论 · 数学 2012-04-05 Jinqiao Duan , Ting Gao , Guowei He

Accurate quantification of model uncertainty has long been recognized as a fundamental requirement for trusted AI. In regression tasks, uncertainty is typically quantified using prediction intervals calibrated to a specific operating point,…

机器学习 · 计算机科学 2021-06-03 Jiri Navratil , Benjamin Elder , Matthew Arnold , Soumya Ghosh , Prasanna Sattigeri

Recent deep learning methods for vessel trajectory prediction are able to learn complex maritime patterns from historical Automatic Identification System (AIS) data and accurately predict sequences of future vessel positions with a…

计算机视觉与模式识别 · 计算机科学 2022-05-12 Samuele Capobianco , Nicola Forti , Leonardo M. Millefiori , Paolo Braca , Peter Willett

In this article, we develop a set-oriented numerical methodology which allows to perform uncertainty quantification (UQ) for dynamical systems from a global point of view. That is, for systems with uncertain parameters we approximate the…

动力系统 · 数学 2018-08-29 Michael Dellnitz , Stefan Klus , Adrian Ziessler

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

应用统计 · 统计学 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

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

The estimation of uncertainties associated with predictions from quantitative structure-activity relationship (QSAR) models can accelerate the drug discovery process by identifying promising experiments and allowing an efficient allocation…

机器学习 · 计算机科学 2025-02-07 Hannah Rosa Friesacher , Emma Svensson , Susanne Winiwarter , Lewis Mervin , Adam Arany , Ola Engkvist

Predicting future trajectories of nearby objects, especially under occlusion, is a crucial task in autonomous driving and safe robot navigation. Prior works typically neglect to maintain uncertainty about occluded objects and only predict…

This paper explores the problem of uncertainty quantification in the behavioral setting for data-driven control. Building on classical ideas from robust control, the problem is regarded as that of selecting a metric which is best suited to…

最优化与控制 · 数学 2022-04-07 Alberto Padoan , Jeremy Coulson , Henk J. van Waarde , John Lygeros , Florian Dörfler

Many traffic prediction applications rely on uncertainty estimates instead of the mean prediction. Statistical traffic prediction literature has a complete subfield devoted to uncertainty modelling, but recent deep learning traffic…

机器学习 · 计算机科学 2020-12-10 Tijs Maas , Peter Bloem

Trajectory prediction seeks to forecast the future motion of dynamic entities, such as vehicles and pedestrians, given a temporal horizon of historical movement data and environmental context. A central challenge in this domain is the…

计算机视觉与模式识别 · 计算机科学 2026-04-01 Jintao Sun , Hu Zhang , Gangyi Ding , Zhedong Zheng

Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures…

This paper introduces a new approach to quantify the impact of forward propagated demand and weather uncertainty on power system planning and operation models. Recent studies indicate that such sampling uncertainty, originating from demand…

应用统计 · 统计学 2020-11-17 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

Statistical learning algorithms provide a generally-applicable framework to sidestep time-consuming experiments, or accurate physics-based modeling, but they introduce a further source of error on top of the intrinsic limitations of the…

化学物理 · 物理学 2024-05-17 Matthias Kellner , Michele Ceriotti