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This paper presents Latent Sampling-based Motion Planning (L-SBMP), a methodology towards computing motion plans for complex robotic systems by learning a plannable latent representation. Recent works in control of robotic systems have…

Robotics · Computer Science 2018-11-07 Brian Ichter , Marco Pavone

Multi-robot motion planning is a hard problem. We investigate restricted variants of the problem where square robots are allowed to slide over an arbitrary curve to a new position only a constant number of times each. We show that the…

Computational Geometry · Computer Science 2026-03-06 Thijs van der Horst , Maarten Löffler , Tim Ophelders , Tom Peters

We study computationally-hard fundamental motion planning problems where the goal is to translate $k$ axis-aligned rectangular robots from their initial positions to their final positions without collision, and with the minimum number of…

Computational Geometry · Computer Science 2024-03-05 Iyad Kanj , Salman Parsa

We address the Multi-Robot Motion Planning (MRMP) problem of computing collision-free trajectories for multiple robots in shared continuous environments. While existing frameworks effectively decompose MRMP into single-robot subproblems,…

Robotics · Computer Science 2025-07-01 Jingtao Tang , Zining Mao , Lufan Yang , Hang Ma

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

Coordinating the motion of multiple agents in constrained environments is a fundamental challenge in robotics, motion planning, and scheduling. A motivating example involves $n$ robotic arms, each represented as a line segment. The…

Computational Complexity · Computer Science 2025-08-29 Nicolas Bousquet , Remy El Sabeh , Amer E. Mouawad , Naomi Nishimura

Robot motion planning has made vast advances over the past decades, but the challenge remains: robot mobile manipulators struggle to plan long-range whole-body motion in common household environments in real time, because of…

Robotics · Computer Science 2024-08-13 Yunfan Lu , Yuchen Ma , David Hsu , Panpan Cai

In this paper, we present a learning method to solve the unlabelled motion problem with motion constraints and space constraints in 2D space for a large number of robots. To solve the problem of arbitrary dynamics and constraints we propose…

Robotics · Computer Science 2021-02-15 Arbaaz Khan , Vijay Kumar , Alejandro Ribeiro

In the problem of multi-robot motion planning, a group of robots, placed in a polygonal domain with obstacles, must be moved from their starting positions to a set of target positions. We consider the specific case of unlabeled disc robots…

Computational Geometry · Computer Science 2020-04-28 Thomas Brocken , G. Wessel van der Heijden , Irina Kostitsyna , Lloyd E. Lo-Wong , Remco J. A. Surtel

We present a centralized algorithm for labeled, disk-shaped Multi-Robot Path Planning (MPP) in a continuous planar workspace with polygonal boundaries. Our method automatically transform the continuous problem into a discrete, graph-based…

Robotics · Computer Science 2022-07-20 Liang He , Zherong Pan , Kiril Solovey , Biao Jia , Dinesh Manocha

In multi-robot multi-target tracking, robots coordinate to monitor groups of targets moving about an environment. We approach planning for such scenarios by formulating a receding-horizon, multi-robot sensing problem with a mutual…

Robotics · Computer Science 2021-07-20 Micah Corah , Nathan Michael

An underlying structure in several sampling-based methods for continuous multi-robot motion planning (MRMP) is the tensor roadmap (TR), which emerges from combining multiple PRM graphs constructed for the individual robots via a tensor…

Robotics · Computer Science 2023-02-13 Dror Dayan , Kiril Solovey , Marco Pavone , Dan Halperin

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

Motion planning (MP) is one of the core robotics problems requiring fast methods for finding a collision-free robot motion path connecting the given start and goal states. Neural motion planners (NMPs) demonstrate fast computational speed…

Robotics · Computer Science 2023-06-02 Ruiqi Ni , Ahmed H. Qureshi

Sampling-based motion planners (SBMPs) are widely used to compute dynamically feasible robot paths. However, their reliance on uniform sampling often leads to poor efficiency and slow planning in complex environments. We introduce a novel…

Robotics · Computer Science 2025-11-10 Shubham Natraj , Bruno Sinopoli , Yiannis Kantaros

Collision checking is a computational bottleneck in motion planning, requiring lazy algorithms that explicitly reason about when to perform this computation. Optimism in the face of collision uncertainty minimizes the number of checks…

Robotics · Computer Science 2020-03-23 Brian Hou , Sanjiban Choudhury , Gilwoo Lee , Aditya Mandalika , Siddhartha S. Srinivasa

As a user-friendly and straightforward solution for robot trajectory generation, imitation learning has been viewed as a vital direction in the context of robot skill learning. In contrast to unconstrained imitation learning which ignores…

Robotics · Computer Science 2021-03-15 Yanlong Huang

Batch planning is increasingly necessary to quickly produce diverse and quality motion plans for downstream learning applications, such as distillation and imitation learning. This paper presents Global Tensor Motion Planning (GTMP) -- a…

Robotics · Computer Science 2025-05-30 An T. Le , Kay Hansel , João Carvalho , Joe Watson , Julen Urain , Armin Biess , Georgia Chalvatzaki , Jan Peters

In this work, we systematically examine the application of spatio-temporal splitting heuristics to the Multi-Robot Motion Planning (MRMP) problem in a graph-theoretic setting: a problem known to be NP-hard to optimally solve. Following the…

Robotics · Computer Science 2021-03-29 Teng Guo , Shuai D. Han , Jingjin Yu

We consider algorithmic problems motivated by modular robotic reconfiguration in the sliding square model, in which we are given $n$ square-shaped modules in a (labeled or unlabeled) start configuration and need to find a schedule of…

Computational Geometry · Computer Science 2025-10-09 Hugo A. Akitaya , Sándor P. Fekete , Peter Kramer , Saba Molaei , Christian Rieck , Frederick Stock , Tobias Wallner