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In this work, we present a workspace-based planning framework, which though using redundant workspace key-points to represent robot states, can take advantage of the interpretable geometric information to derive good quality collision-free…

Robotics · Computer Science 2022-06-17 Weifu Wang , Ping Li

This paper presents a general asymptotic theory of sequential Bayesian estimation giving results for the strongest, almost sure convergence. We show that under certain smoothness conditions on the probability model, the greedy information…

Statistics Theory · Mathematics 2016-01-11 Janne V. Kujala

In this paper, we present a bilevel optimal motion planning (BOMP) model for autonomous parking. The BOMP model treats motion planning as an optimal control problem, in which the upper level is designed for vehicle nonlinear dynamics, and…

Robotics · Computer Science 2023-12-04 Shenglei Shi , Youlun Xiong , Jiankui Chen , Caihua Xiong

Generating time-optimal, collision-free trajectories for autonomous mobile robots involves a fundamental trade-off between guaranteeing safety and managing computational complexity. State-of-the-art approaches formulate spline-based motion…

Robotics · Computer Science 2026-03-26 Dries Dirckx , Jan Swevers , Wilm Decré

Optimization software enables the solution of problems with millions of variables and associated parameters. These parameters are, however, often uncertain and represented with an analytical description of the parameter's distribution or…

Optimization and Control · Mathematics 2025-01-17 John R. Birge

In this paper, we study the portfolio optimization problem with general utility functions and when the return and volatility of underlying asset are slowly varying. An asymptotic optimal strategy is provided within a specific class of…

Mathematical Finance · Quantitative Finance 2016-11-08 Jean-Pierre Fouque , Ruimeng Hu

A parameter estimation problem is considered, in which dispersed sensors transmit to the statistician partial information regarding their observations. The sensors observe the paths of continuous semimartingales, whose drifts are linear…

Methodology · Statistics 2013-02-01 Georgios Fellouris

Sampling-based motion planners have proven to be efficient solutions to a variety of high-dimensional, geometrically complex motion planning problems with applications in several domains. The traditional view of these approaches is that…

Robotics · Computer Science 2014-04-09 Andrew Dobson , George V. Moustakides , Kostas E. Bekris

The problem of optimal feedback planning among obstacles in d-dimensional configuration spaces is considered. We present a sampling-based, asymptotically optimal feedback planning method. Our method combines an incremental construction of…

Robotics · Computer Science 2015-04-30 Dmitry Yershov , Michael Otte , Emilio Frazzoli

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

Artificial Intelligence · Computer Science 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

Sampling-based motion planning algorithms have been continuously developed for more than two decades. Apart from mobile robots, they are also widely used in manipulator motion planning. Hence, these methods play a key role in collaborative…

Robotics · Computer Science 2023-07-13 Carl Gaebert , Sascha Kaden , Benjamin Fischer , Ulrike Thomas

Optimal values and solutions of empirical approximations of stochastic optimization problems can be viewed as statistical estimators of their true values. From this perspective, it is important to understand the asymptotic behavior of these…

Optimization and Control · Mathematics 2025-07-01 Johannes Milz , Thomas M. Surowiec

Sampling-based planning algorithm is a powerful tool for solving planning problems in high-dimensional state spaces. In this article, we present a novel approach to sampling in the most promising regions, which significantly reduces…

Robotics · Computer Science 2023-05-26 Chenming Li , Fei Meng , Han Ma , Jiankun Wang , Max Q. -H. Meng

Sampling-based motion planning techniques have emerged as an efficient algorithmic paradigm for solving complex motion planning problems. These approaches use a set of probing samples to construct an implicit graph representation of the…

Robotics · Computer Science 2019-10-10 Brian Ichter , Edward Schmerling , Tsang-Wei Edward Lee , Aleksandra Faust

This paper addresses the Kidnapped Robot Problem (KRP), a core localization challenge of relocalizing a robot in a known map without prior pose estimate upon localization loss or at SLAM initialization. For this purpose, a passive 2-D…

Robotics · Computer Science 2026-05-21 Muhua Zhang , Lei Ma , Ying Wu , Kai Shen , Deqing Huang , Henry Leung

Sampling-based planning is the predominant paradigm for motion planning in robotics. Most sampling-based planners use a global random sampling scheme to guarantee probabilistic completeness. However, most schemes are often inefficient as…

Robotics · Computer Science 2020-01-22 Tin Lai , Philippe Morere , Fabio Ramos , Gilad Francis

Robots such as autonomous underwater vehicles (AUVs) and autonomous surface vehicles (ASVs) have been used for sensing and monitoring aquatic environments such as oceans and lakes. Environmental sampling is a challenging task because the…

Robotics · Computer Science 2018-03-29 Kai-Chieh Ma , Lantao Liu , Hordur K. Heidarsson , Gaurav S. Sukhatme

In many robotics applications, multiple robots are working in a shared workspace to complete a set of tasks as fast as possible. Such settings can be treated as multi-modal multi-robot multi-goal path planning problems, where each robot has…

Robotics · Computer Science 2026-04-20 Valentin N. Hartmann , Tirza Heinle , Yijiang Huang , Stelian Coros

We address multi-robot motion planning under Signal Temporal Logic (STL) specifications with kinodynamic constraints. Exact approaches face scalability bottlenecks and limited adaptability, while conventional sampling-based methods require…

Kinodynamic motion planning is concerned with computing collision-free trajectories while abiding by the robot's dynamic constraints. This critical problem is often tackled using sampling-based planners (SBPs) that explore the robot's…

Machine Learning · Computer Science 2025-09-08 Yaniv Hassidof , Tom Jurgenson , Kiril Solovey