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We develop an efficient parallel algorithm for answering shortest-path queries in planar graphs and implement it on a multi-node CPU/GPU clusters. The algorithm uses a divide-and-conquer approach for decomposing the input graph into small…

数据结构与算法 · 计算机科学 2015-03-26 Guillaume Chapuis , Hristo Djidjev

Reliable real-time planning for robots is essential in today's rapidly expanding automated ecosystem. In such environments, traditional methods that plan by relaxing constraints become unreliable or slow-down for kinematically constrained…

机器人学 · 计算机科学 2020-08-13 Jacob J. Johnson , Linjun Li , Fei Liu , Ahmed H. Qureshi , Michael C. Yip

Hypergraph matching has recently become a popular approach for solving correspondence problems in computer vision as it allows to integrate higher-order geometric information. Hypergraph matching can be formulated as a third-order…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Quynh Nguyen , Francesco Tudisco , Antoine Gautier , Matthias Hein

This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology is based on a combination of a classical reduced-order…

机器学习 · 计算机科学 2024-06-06 Victor Matray , Faisal Amlani , Frédéric Feyel , David Néron

In computer networks, participants may cooperate in processing tasks, so that loads are balanced among them. We present local distributed algorithms that (repeatedly) use local imbalance criteria to transfer loads concurrently across the…

分布式、并行与集群计算 · 计算机科学 2020-10-07 Yefim Dinitz , Shlomi Dolev , Manish Kumar

Deep learning-based methods are growing prominence for planning purposes. In this paper, we present a hybrid planner that combines a graph machine learning model and an optimal solver based on branch and bound tree search for path-planning…

人工智能 · 计算机科学 2022-04-05 Kevin Osanlou , Andrei Bursuc , Christophe Guettier , Tristan Cazenave , Eric Jacopin

Many combinatorial optimization problems can be formulated as the search for a subgraph that satisfies certain properties and minimizes the total weight. We assume here that the vertices correspond to points in a metric space and can take…

数据结构与算法 · 计算机科学 2024-12-25 Marin Bougeret , Jérémy Omer , Michael Poss

In this paper, an efficient motion planning approach with grid-based generalized Voronoi diagrams (G$ \mathbf{^2} $VD) is newly proposed for mobile robots. Different from existing approaches, the novelty of this work is twofold: 1) a new…

机器人学 · 计算机科学 2024-05-08 Jian Wen , Xuebo Zhang , Qingchen Bi , Hui Liu , Jing Yuan , Yongchun Fang

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…

机器人学 · 计算机科学 2022-07-20 Liang He , Zherong Pan , Kiril Solovey , Biao Jia , Dinesh Manocha

Through legislation and technical advances users gain more control over how their data is processed, and they expect online services to respect their privacy choices and preferences. However, data may be processed for many different…

数据库 · 计算机科学 2024-03-19 Dorota Filipczuk , Enrico H. Gerding , George Konstantinidis

A straight-line drawing $\delta$ of a planar graph $G$ need not be plane, but can be made so by \emph{untangling} it, that is, by moving some of the vertices of $G$. Let shift$(G,\delta)$ denote the minimum number of vertices that need to…

计算几何 · 计算机科学 2009-01-27 Xavier Goaoc , Jan Kratochvil , Yoshio Okamoto , Chan-Su Shin , Andreas Spillner , Alexander Wolff

We consider a Hamiltonian decomposition problem of partitioning a regular graph into edge-disjoint Hamiltonian cycles. A sufficient condition for vertex adjacency in the 1-skeleton of the traveling salesperson polytope can be formulated as…

组合数学 · 数学 2021-08-10 Andrei Nikolaev , Anna Kozlova

Quantum annealing is a proposed combinatorial optimization technique meant to exploit quantum mechanical effects such as tunneling and entanglement. Real-world quantum annealing-based solvers require a combination of annealing and classical…

量子物理 · 物理学 2015-07-30 Kenneth M. Zick , Omar Shehab , Matthew French

We present a novel method for global motion planning of robotic systems that interact with the environment through contacts. Our method directly handles the hybrid nature of such tasks using tools from convex optimization. We formulate the…

Sparse, irregular graphs show up in various applications like linear algebra, machine learning, engineering simulations, robotic control, etc. These graphs have a high degree of parallelism, but their execution on parallel threads of modern…

分布式、并行与集群计算 · 计算机科学 2022-02-17 Nimish Shah , Wannes Meert , Marian Verhelst

In the F-minor-free deletion problem we want to find a minimum vertex set in a given graph that intersects all minor models of graphs from the family F. The Vertex planarization problem is a special case of F-minor-free deletion for the…

数据结构与算法 · 计算机科学 2022-02-07 Bart M. P. Jansen , Michał Włodarczyk

This paper presents a novel knowledge-informed graph neural planner (KG-Planner) to address the challenge of efficiently planning collision-free motions for robots in high-dimensional spaces, considering both static and dynamic environments…

机器人学 · 计算机科学 2024-05-14 Wansong Liu , Kareem Eltouny , Sibo Tian , Xiao Liang , Minghui Zheng

Given a large data graph, trimming techniques can reduce the search space by removing vertices without outgoing edges. One application is to speed up the parallel decomposition of graphs into strongly connected components (SCC…

分布式、并行与集群计算 · 计算机科学 2022-04-11 Bin Guo , Emil Sekerinski

We focus on multi-object rearrangement planning in densely cluttered environments using a car-like robot pusher. The combination of kinematic, geometric and physics constraints underlying this domain results in challenging nonmonotone…

机器人学 · 计算机科学 2026-02-02 Jeeho Ahn , Christoforos Mavrogiannis

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…

机器人学 · 计算机科学 2025-05-30 An T. Le , Kay Hansel , João Carvalho , Joe Watson , Julen Urain , Armin Biess , Georgia Chalvatzaki , Jan Peters