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This paper addresses the problem of reliably and efficiently solving broad classes of long-horizon stochastic path planning problems. Starting with a vanilla RL formulation with a stochastic dynamics simulator and an occupancy matrix of the…

Machine Learning · Computer Science 2022-12-09 Naman Shah , Siddharth Srivastava

This paper presents an algorithm to apply nonlinear control design approaches in the case of stochastic systems with partial state observation. Deterministic nonlinear control approaches are formulated under the assumption of full state…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Mohammad S. Ramadan , Mohammad Alsuwaidan , Ahmed Atallah , Sylvia Herbert

This article addresses obstacle avoidance motion planning for autonomous vehicles, specifically focusing on highway overtaking maneuvers. The control design challenge is handled by considering a mathematical vehicle model that captures both…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Gianni Cario , Valentino Carriuolo , Alessandro Casavola , Gianfranco Gagliardi , Marco Lupia , Franco Angelo Torchiaro

Navigating safely in urban environments remains a challenging problem for autonomous vehicles. Occlusion and limited sensor range can pose significant challenges to safely navigate among pedestrians and other vehicles in the environment.…

Robotics · Computer Science 2019-07-19 Ming-Yuan Yu , Ram Vasudevan , Matthew Johnson-Roberson

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

This article presents a family of Stochastic Cartographic Occupancy Prediction Engines (SCOPEs) that enable mobile robots to predict the future states of complex dynamic environments. They do this by accounting for the motion of the robot…

Robotics · Computer Science 2025-09-08 Zhanteng Xie , Philip Dames

Balancing passenger demand and vehicle availability is crucial for ensuring the sustainability and effectiveness of urban transportation systems. To address this challenge, we propose a novel hierarchical strategy for the efficient…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Pengbo Zhu , Giancarlo Ferrari-Trecate , Nikolas Geroliminis

Automated vehicles require efficient and safe planning to maneuver in uncertain environments. Largely this uncertainty is caused by other traffic participants, e.g., surrounding vehicles. Future motion of surrounding vehicles is often…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Tim Brüdigam , Michael Olbrich , Dirk Wollherr , Marion Leibold

3D occupancy prediction provides dense spatial understanding critical for safe autonomous driving. However, this task suffers from a severe class imbalance due to its volumetric representation, where safety-critical objects (bicycles,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Wonjune Kim , In-Jae Lee , Sihwan Hwang , Sanmin Kim , Dongsuk Kum

We explain how effective automatic probability density function estimates can be constructed using contemporary Bayesian inference engines such as those based on no-U-turn sampling and expectation propagation. Extensive simulation studies…

Machine Learning · Statistics 2021-09-28 M. P. Wand , J. C. F. Yu

The concept of impedance, which characterises the current response to a periodical driving, is introduced in the context of stochastic transport. In particular, we calculate the impedance for an exactly solvable model, namely the stochastic…

Statistical Mechanics · Physics 2020-06-24 Bart Cleuren , Karel Proesmans

Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the…

Statistics Theory · Mathematics 2016-11-26 A. Rodríguez-Casal , P. Saavedra-Nieves

This work addresses the problem of autonomous traffic management at an isolated intersection for connected and automated vehicles. We decompose the trajectory of each vehicle into two phases: the provisional phase and the coordinated phase.…

Optimization and Control · Mathematics 2021-10-22 Darshan Gadginmath , Pavankumar Tallapragada

Optimization-based methods are widely used for computing fast, diverse solutions for complex tasks such as collision-free movement or planning in the presence of contacts. However, most of these methods require enforcing non-penetration…

Robotics · Computer Science 2025-10-01 Akshay Jaitly , Devesh K. Jha , Kei Ota , Yuki Shirai

Motion prediction is a challenging task for autonomous vehicles due to uncertainty in the sensor data, the non-deterministic nature of future, and complex behavior of agents. In this paper, we tackle this problem by representing the scene…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Rabbia Asghar , Manuel Diaz-Zapata , Lukas Rummelhard , Anne Spalanzani , Christian Laugier

A shortcoming of existing reachability approaches for nonlinear systems is the poor scalability with the number of continuous state variables. To mitigate this problem we present a simulation-based approach where we first sample a number of…

Systems and Control · Computer Science 2017-09-21 Murat Arcak , John Maidens

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

Systems and Control · Computer Science 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman

Modeling car-following behavior is fundamental to microscopic traffic simulation, yet traditional deterministic models often fail to capture the full extent of variability and unpredictability in human driving. While many modern approaches…

Applications · Statistics 2026-01-30 Chengyuan Zhang , Zhengbing He , Cathy Wu , Lijun Sun

We present a queuing model of parking dynamics and a model-based prediction method to provide real-time probabilistic forecasts of future parking occupancy. The queuing model has a non-homogeneous arrival rate and time-varying service time…

Machine Learning · Computer Science 2019-09-02 Hamidreza Tavafoghi , Kameshwar Poolla , Pravin Varaiya