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The aim of the article is to show how a coordinate transformation can be applied to the path-integral formalism. For this purpose the unitary definition of the quantum measure, which guarantees the conservation of total probability, is…

Quantum Physics · Physics 2007-05-23 J. Manjavidze

This text presents an unified approach of probability and statistics in the pursuit of understanding and computation of randomness in engineering or physical or social system with prediction with generalizability. Starting from elementary…

History and Overview · Mathematics 2024-01-19 Lakshman Mahto

It is well-understood that the robustness of mechanical and robotic control systems depends critically on minimizing sensitivity to arbitrary application-specific details whenever possible. For example, if a system is defined and performs…

Signal Processing · Electrical Eng. & Systems 2018-06-06 Bo Zhang , Jeffrey Uhlmann

In a given scenario, simultaneously and accurately predicting every possible interaction of traffic participants is an important capability for autonomous vehicles. The majority of current researches focused on the prediction of an single…

Machine Learning · Computer Science 2018-10-31 Yeping Hu , Wei Zhan , Masayoshi Tomizuka

We study the problem of sampling robot trajectories and introduce the notion of C-Uniformity. As opposed to the standard method of uniformly sampling control inputs (which lead to biased samples of the configuration space), C-Uniform…

Robotics · Computer Science 2024-09-20 O. Goktug Poyrazoglu , Yukang Cao , Volkan Isler

Nonconvex optimization is central to modern machine learning, but the general framework of nonconvex optimization yields weak convergence guarantees that are too pessimistic compared to practice. On the other hand, while convexity enables…

Machine Learning · Computer Science 2025-02-19 Artem Riabinin , Ahmed Khaled , Peter Richtárik

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

Predicting human mobility is crucial for urban planning, traffic control, and emergency response. Mobility behaviors can be categorized into individual and collective, and these behaviors are recorded by diverse mobility data, such as…

Machine Learning · Computer Science 2024-12-23 Qingyue Long , Yuan Yuan , Yong Li

In the path planning problem of autonomous application, the existing studies separately consider the path planning and trajectory tracking control of the autonomous vehicle and few of them have integrated the trajectory planning and…

Robotics · Computer Science 2019-05-10 Chao Huang , Boyuan Li , Masako Kishida

Planning trajectories for automated vehicles in urban environments requires methods with high generality, long planning horizons, and fast update rates. Using a path-velocity decomposition, we contribute a novel planning framework, which…

Robotics · Computer Science 2023-08-10 Jona Ruof , Max Bastian Mertens , Michael Buchholz , Klaus Dietmayer

Predictive planning is a key capability for robots to efficiently and safely navigate populated environments. Particularly in densely crowded scenes, with uncertain human motion predictions, predictive path planning, and control can become…

Robotics · Computer Science 2024-05-22 Till Hielscher , Lukas Heuer , Frederik Wulle , Luigi Palmieri

This survey is focused on certain sequential decision-making problems that involve optimizing over probability functions. We discuss the relevance of these problems for learning and control. The survey is organized around a framework that…

Optimization and Control · Mathematics 2023-01-13 Emiland Garrabe , Giovanni Russo

This paper proposes a novel framework to alleviate the model drift problem in visual tracking, which is based on paced updates and trajectory selection. Given a base tracker, an ensemble of trackers is generated, in which each tracker's…

Computer Vision and Pattern Recognition · Computer Science 2016-03-02 Zexi Hu , Yuefang Gao , Dong Wang , Xuhong Tian

The pathwise coordinate optimization is one of the most important computational frameworks for high dimensional convex and nonconvex sparse learning problems. It differs from the classical coordinate optimization algorithms in three salient…

Machine Learning · Statistics 2017-06-06 Tuo Zhao , Han Liu , Tong Zhang

The main contribution of this paper is a novel method for planning globally optimal trajectories for dynamical systems subject to polygonal constraints. The proposed method is a hybrid trajectory planning approach, which combines graph…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Andreas B. Martinsen , Anastasios M. Lekkas , Sebastien Gros

This paper revisits a classical challenge in the design of stabilizing controllers for nonlinear systems with a norm-bounded input constraint. By extending Lin-Sontag's universal formula and introducing a generic (state-dependent) scaling…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Ming Li , Zhiyong Sun , Siep Weiland

The linear programming (LP) approach is, together with value iteration and policy iteration, one of the three fundamental methods to solve optimal control problems in a dynamic programming setting. Despite its simple formulation,…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Lucia Falconi , Andrea Martinelli , John Lygeros

One of the most critical features for the successful operation of autonomous UAVs is the ability to make decisions based on the information acquired from their surroundings. Each UAV must be able to make decisions during the flight in order…

Robotics · Computer Science 2025-08-14 Kelen C. Teixeira Vivaldini , Robert Pěnička , Martin Saska

Just as an explicit parameterisation of system dynamics by state, i.e., a choice of coordinates, can impede the identification of general structure, so it is too with an explicit parameterisation of system dynamics by control. However, such…

Optimization and Control · Mathematics 2014-06-16 Saber Jafarpour , Andrew D. Lewis

Robotic manipulation demands precise control over both contact forces and motion trajectories. While force control is essential for achieving compliant interaction and high-frequency adaptation, it is limited to operations in close…

Robotics · Computer Science 2025-06-23 Melih Özcan , Ozgur S. Oguz