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Probabilistic Cell Decomposition (PCD) is a probabilistic path planning method combining the concepts of approximate cell decomposition with probabilistic sampling. It has been shown that the use of lazy evaluation techniques and supervised…

Robotics · Computer Science 2015-07-15 Frank Lingelbach

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

Robotics · Computer Science 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

In contrast to the univariate case, interpolation with polynomials of a given maximal total degree is not always possible even if the number of interpolation points and the space dimension coincide. Due to that, numerous constructions for…

Numerical Analysis · Mathematics 2017-02-08 Jesús Carnicer , Tomas Sauer

Trajectory replanning for quadrotors is essential to enable fully autonomous flight in unknown environments. Hierarchical motion planning frameworks, which combine path planning with path parameterization, are popular due to their time…

Robotics · Computer Science 2019-06-25 Wenchao Ding , Wenliang Gao , Kaixuan Wang , Shaojie Shen

In this paper, we extend the recent body of work on planning under uncertainty to include the fact that sensors may not provide any measurement owing to misdetection. This is caused either by adverse environmental conditions that prevent…

Robotics · Computer Science 2013-09-17 Shaunak D. Bopardikar , Brendan J. Englot , Alberto Speranzon

In some significant applications such as data forecasting, the locations of missing entries cannot obey any non-degenerate distributions, questioning the validity of the prevalent assumption that the missing data is randomly chosen…

Information Theory · Computer Science 2019-09-09 Guangcan Liu , Qingshan Liu , Xiao-Tong Yuan , Meng Wang

This paper addresses the kinodynamic motion planning for non-holonomic robots in dynamic environments with both static and dynamic obstacles -- a challenging problem that lacks a universal solution yet. One of the promising approaches to…

Robotics · Computer Science 2023-01-02 Brian Angulo , Aleksandr Panov , Konstantin Yakovlev

We present a novel reduced-order Model (ROM) that leverages optimal transport (OT) theory and displacement interpolation to enhance the representation of nonlinear dynamics in complex systems. While traditional ROM techniques face…

Numerical Analysis · Mathematics 2024-11-14 Moaad Khamlich , Federico Pichi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

In this contribution we revisit regular model checking, a powerful framework that has been successfully applied for the verification of infinite-state systems, especially parameterized systems (concurrent systems with an arbitrary number of…

Logic in Computer Science · Computer Science 2021-11-23 Anthony W. Lin , Philipp Rümmer

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

Continuous state spaces and stochastic, switching dynamics characterize a number of rich, realworld domains, such as robot navigation across varying terrain. We describe a reinforcementlearning algorithm for learning in these domains and…

Machine Learning · Computer Science 2012-06-18 Emma Brunskill , Bethany Leffler , Lihong Li , Michael L. Littman , Nicholas Roy

Modern learning-based locomotion controllers typically rely on fully trainable deep neural networks with a large number of parameters. This paper studies a different design point for end-to-end control: whether effective quadruped…

Machine Learning · Computer Science 2026-04-16 Zhuochen Liu , Rahul Jain , Quan Nguyen

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

Model checking is an automatic formal verification technique that is widely used in hardware verification. The state-of-the-art complete model-checking techniques, based on IC3/PDR and its general variant CAR, are based on computing…

Logic in Computer Science · Computer Science 2024-11-04 Yibo Dong , Yu Chen , Jianwen Li , Geguang Pu , Ofer Strichman

Kinodynamic Motion Planning (KMP) is to find a robot motion subject to concurrent kinematics and dynamics constraints. To date, quite a few methods solve KMP problems and those that exist struggle to find near-optimal solutions and exhibit…

Robotics · Computer Science 2021-01-19 Linjun Li , Yinglong Miao , Ahmed H. Qureshi , Michael C. Yip

Object pose estimation is a necessary prerequisite for autonomous robotic manipulation, but the presence of symmetry increases the complexity of the pose estimation task. Existing methods for object pose estimation output a single 6D pose.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Arul Selvam Periyasamy , Luis Denninger , Sven Behnke

This paper tackles the problem of integrated task and kinodynamic motion planning in uncertain environments. We consider a robot with nonlinear dynamics tasked with a Linear Temporal Logic over finite traces ($\ltlf$) specification…

Robotics · Computer Science 2026-04-02 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

In this paper, we deal with algorithms to solve the finite-sum problems related to fitting over-parametrized models, that typically satisfy the interpolation condition. In particular, we focus on approaches based on stochastic line searches…

Optimization and Control · Mathematics 2025-09-05 Matteo Lapucci , Davide Pucci

Even though mobile robots have been around for decades, trajectory optimization and continuous time collision avoidance remain subject of active research. Existing methods trade off between path quality, computational complexity, and…

Robotics · Computer Science 2020-03-03 Tobias Schoels , Luigi Palmieri , Kai O. Arras , Moritz Diehl

Image goal navigation requires two different skills: firstly, core navigation skills, including the detection of free space and obstacles, and taking decisions based on an internal representation; and secondly, computing directional…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Gianluca Monaci , Philippe Weinzaepfel , Christian Wolf