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We consider the massively parallel computation (MPC) model, which is a theoretical abstraction of large-scale parallel processing models such as MapReduce. In this model, assuming the widely believed 1-vs-2-cycles conjecture, solving many…

Data Structures and Algorithms · Computer Science 2023-10-31 Yi-Jun Chang , Da Wei Zheng

In this paper we present the PUMP (Parallel Uncertainty-aware Multiobjective Planning) algorithm for addressing the stochastic kinodynamic motion planning problem, whereby one seeks a low-cost, dynamically-feasible motion plan subject to a…

Robotics · Computer Science 2017-02-27 Brian Ichter , Edward Schmerling , Ali-akbar Agha-mohammadi , Marco Pavone

In this paper, we look into the minimum obstacle displacement (MOD) planning problem from a mobile robot motion planning perspective. This problem finds an optimal path to goal by displacing movable obstacles when no path exists due to…

Robotics · Computer Science 2023-02-15 Antony Thomas , Giulio Ferro , Fulvio Mastrogiovanni , Michela Robba

This paper presents a Genetic Programming (GP) approach to solving multi-robot path planning (MRPP) problems in single-lane workspaces, specifically those easily mapped to graph representations. GP's versatility enables this approach to…

Robotics · Computer Science 2019-12-23 Alexandre Trudeau , Christopher M. Clark

We tackle the problem of planning in nondeterministic domains, by presenting a new approach to conformant planning. Conformant planning is the problem of finding a sequence of actions that is guaranteed to achieve the goal despite the…

Artificial Intelligence · Computer Science 2011-06-02 A. Cimatti , M. Roveri

Imitation learning has been studied widely as a convenient way to transfer human skills to robots. This learning approach is aimed at extracting relevant motion patterns from human demonstrations and subsequently applying these patterns to…

Robotics · Computer Science 2018-03-07 Yanlong Huang , Leonel Rozo , João Silvério , Darwin G. Caldwell

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

Robotics · Computer Science 2017-10-24 Meng Guo , Michael M. Zavlanos

In the $k$-Disjoint Shortest Paths ($k$-DSP) problem, we are given a weighted graph $G$ on $n$ nodes and $m$ edges with specified source vertices $s_1, \dots, s_k$, and target vertices $t_1, \dots, t_k$, and are tasked with determining if…

Data Structures and Algorithms · Computer Science 2024-05-13 Shyan Akmal , Virginia Vassilevska Williams , Nicole Wein

\textsc{Directed Token Sliding} asks, given a directed graph and two sets of pairwise nonadjacent vertices, whether one can reach from one set to the other by repeatedly applying a local operation that exchanges a vertex in the current set…

Data Structures and Algorithms · Computer Science 2022-03-28 Takehiro Ito , Yuni Iwamasa , Yasuaki Kobayashi , Yu Nakahata , Yota Otachi , Masahiro Takahashi , Kunihiro Wasa

In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high…

Algebraic Topology · Mathematics 2021-09-10 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

Motion planning with simple objectives, such as collision-avoidance and goal-reaching, can be solved efficiently using modern planners. However, the complexity of the allowed tasks for these planners is limited. On the other hand, signal…

Robotics · Computer Science 2025-03-05 Wenliang Liu , Nathalie Majcherczyk , Federico Pecora

This paper proposes a novel safety specification tool, called the distributionally robust risk map (DR-risk map), for a mobile robot operating in a learning-enabled environment. Given the robot's position, the map aims to reliably assess…

Robotics · Computer Science 2021-05-04 Astghik Hakobyan , Insoon Yang

Multi-robot systems offer enhanced capability over their monolithic counterparts, but they come at a cost of increased complexity in coordination. To reduce complexity and to make the problem tractable, multi-robot motion planning (MRMP)…

Robotics · Computer Science 2021-11-30 Changrak Choi , Muhammad Adil , Amir Rahmani , Ramtin Madani

In this paper, we consider the problem of planar graph-based simultaneous localization and mapping (SLAM) that involves both poses of the autonomous agent and positions of observed landmarks. We present CPL-SLAM, an efficient and…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Taosha Fan , Hanlin Wang , Michael Rubenstein , Todd Murphey

Planning balanced and collision-free motion for humanoid robots is non-trivial, especially when they are operated in complex environments, such as reaching targets behind obstacles or through narrow passages. We propose a method that allows…

Robotics · Computer Science 2016-08-01 Yiming Yang , Vladimir Ivan , Wolfgang Merkt , Sethu Vijayakumar

The optimal robot assembly planning problem is challenging due to the necessity of finding the optimal solution amongst an exponentially vast number of possible plans, all while satisfying a selection of constraints. Traditionally, robotic…

Robotics · Computer Science 2025-02-25 Kartik Nagpal , Negar Mehr

Efficient sampling from constraint manifolds, and thereby generating a diverse set of solutions for feasibility problems, is a fundamental challenge. We consider the case where a problem is factored, that is, the underlying nonlinear…

Robotics · Computer Science 2021-03-30 Joaquim Ortiz-Haro , Valentin N. Hartmann , Ozgur S. Oguz , Marc Toussaint

Multiple mobile robots play a significant role in various spatially distributed tasks.In unfamiliar and non-repetitive scenarios, reconstructing the global map is time-inefficient and sometimes unrealistic. Hence, research has focused on…

Robotics · Computer Science 2025-12-29 Weining Lu , Qingquan Lin , Litong Meng , Chenxi Li , Bin Liang

In this paper, we explore the challenging 1-to-N map matching problem, which exploits a compact description of map data, to improve the scalability of map matching techniques used by various robot vision tasks. We propose a first method…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Shogo Hanada , Kanji Tanaka

Simultaneous localization and Planning (SLAP) is a crucial ability for an autonomous robot operating under uncertainty. In its most general form, SLAP induces a continuous POMDP (partially-observable Markov decision process), which needs to…