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Uncertainty quantification plays a key role in the development of autonomous systems, decision-making, and tracking over wireless sensor networks (WSNs). However, there is a need of providing uncertainty confidence bounds, especially for…

Machine Learning · Statistics 2024-09-13 Xingchi Liu , Lyudmila Mihaylova , Jemin George , Tien Pham

Adverse weather conditions, particularly convective phenomena, pose significant challenges to Air Traffic Management, often requiring real-time rerouting decisions that impact efficiency and safety. This study introduces a 3-D Gaussian…

Machine Learning · Computer Science 2025-04-09 G. Lancia , D. Falanga , S. Alam , G. Lulli

We propose a quantitative approach for calibrating and validating key features of traffic instabilities based on speed time series obtained from aggregated data of a series of neighboring stationary detectors. We apply the proposed criteria…

Physics and Society · Physics 2010-08-11 Martin Treiber , Arne Kesting

A novel multi-task Gaussian process (GP) framework is proposed, by using a common mean process for sharing information across tasks. In particular, we investigate the problem of time series forecasting, with the objective to improve…

Computation · Statistics 2022-05-25 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

Trajectory optimization methods for motion planning attempt to generate trajectories that minimize a suitable objective function. Such methods efficiently find solutions even for high degree-of-freedom robots. However, a globally optimal…

Robotics · Computer Science 2019-07-18 Luka Petrović , Juraj Peršić , Marija Seder , Ivan Marković

Transport demand is highly dependent on supply, especially for shared transport services where availability is often limited. As observed demand cannot be higher than available supply, historical transport data typically represents a…

Gaussian Processes (GPs) are widely employed in control and learning because of their principled treatment of uncertainty. However, tracking uncertainty for iterative, multi-step predictions in general leads to an analytically intractable…

Gaussian processes (GPs) offer a flexible, uncertainty-aware framework for modeling complex signals, but scale cubically with data, assume static targets, and are brittle to outliers, limiting their applicability in large-scale problems…

Machine Learning · Statistics 2025-09-23 Fernando Llorente , Daniel Waxman , Sanket Jantre , Nathan M. Urban , Susan E. Minkoff

Road traffic forecasting plays a critical role in smart city initiatives and has experienced significant advancements thanks to the power of deep learning in capturing non-linear patterns of traffic data. However, the promising results…

Machine Learning · Computer Science 2023-10-31 Xu Liu , Yutong Xia , Yuxuan Liang , Junfeng Hu , Yiwei Wang , Lei Bai , Chao Huang , Zhenguang Liu , Bryan Hooi , Roger Zimmermann

For a learning task, Gaussian process (GP) is interested in learning the statistical relationship between inputs and outputs, since it offers not only the prediction mean but also the associated variability. The vanilla GP however struggles…

Machine Learning · Statistics 2020-09-01 Haitao Liu , Yew-Soon Ong , Xiaomo Jiang , Xiaofang Wang

Future urban transportation concepts include a mixture of ground and air vehicles with varying degrees of autonomy in a congested environment. In such dynamic environments, occupancy maps alone are not sufficient for safe path planning.…

Robotics · Computer Science 2021-07-26 Ransalu Senanayake , Kyle Beltran Hatch , Jason Zheng , Mykel J. Kochenderfer

Gaussian processes (GPs) are pervasive in functional data analysis, machine learning, and spatial statistics for modeling complex dependencies. Modern scientific data sets are typically heterogeneous and often contain multiple known…

Methodology · Statistics 2021-10-19 Didong Li , Andrew Jones , Sudipto Banerjee , Barbara E. Engelhardt

With the growing capabilities of Geographic Information Systems (GIS) and user-friendly software, statisticians today routinely encounter geographically referenced data containing observations from a large number of spatial locations and…

Methodology · Statistics 2017-05-23 Sudipto Banerjee

We introduce an unsupervised formulation to estimate heteroscedastic uncertainty in retrieval systems. We propose an extension to triplet loss that models data uncertainty for each input. Besides improving performance, our formulation…

Computer Vision and Pattern Recognition · Computer Science 2019-02-08 Ahmed Taha , Yi-Ting Chen , Teruhisa Misu , Abhinav Shrivastava , Larry Davis

The high dynamics and heterogeneous interactions in the complicated urban systems have raised the issue of uncertainty quantification in spatiotemporal human mobility, to support critical decision-makings in risk-aware web applications such…

Machine Learning · Computer Science 2021-02-12 Zhengyang Zhou , Yang Wang , Xike Xie , Lei Qiao , Yuantao Li

Safety-critical control using high-dimensional sensory feedback from optical data (e.g., images, point clouds) poses significant challenges in domains like autonomous driving and robotic surgery. Control can rely on low-dimensional states…

There is significant interest in learning and optimizing a complex system composed of multiple sub-components, where these components may be agents or autonomous sensors. Among the rich literature on this topic, agent-based and…

Machine Learning · Computer Science 2021-07-08 Kai Wang , Bryan Wilder , Sze-chuan Suen , Bistra Dilkina , Milind Tambe

Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

Learning-based model predictive control (MPC) can enhance control performance by correcting for model inaccuracies, enabling more precise state trajectory predictions than traditional MPC. A common approach is to model unknown residual…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Lars Bartels , Amon Lahr , Andrea Carron , Melanie N. Zeilinger

Modeling mixed-traffic motion and interactions is crucial to assess safety, efficiency, and feasibility of future urban areas. The lack of traffic regulations, diverse transport modes, and the dynamic nature of mixed-traffic zones like…

Artificial Intelligence · Computer Science 2021-01-19 Fatema T. Johora , Dongfang Yang , Jörg P. Müller , Ümit Özgüner