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Motivated by what is required for real-time path planning, the paper starts out by presenting sRMPD, a new recursive "local" planner founded on the key notion that, unless made necessary by an obstacle, there must be no deviation from the…

Robotics · Computer Science 2018-02-27 Fangda Li , Ankit V. Manerikar , Avinash C. Kak

Constraint programming uses enumeration and search tree pruning to solve combinatorial optimization problems. In order to speed up this solution process, we investigate the use of semidefinite relaxations within constraint programming. In…

Discrete Mathematics · Computer Science 2007-05-23 Willem Jan van Hoeve

Probabilistic sampling-based algorithms, such as the probabilistic roadmap (PRM) and the rapidly-exploring random tree (RRT) algorithms, represent one of the most successful approaches to robotic motion planning, due to their strong…

Robotics · Computer Science 2016-05-04 Lucas Janson , Brian Ichter , Marco Pavone

In this paper, a sampling-based trajectory planning algorithm for a laboratory-scale 3D gantry crane in an environment with static obstacles and subject to bounds on the velocity and acceleration of the gantry crane system is presented. The…

Robotics · Computer Science 2023-03-28 Minh Nhat Vu , Michael Schwegel , Christian Hartl-Nesic , Andreas Kugi

Planning safe paths in 3D workspace for high DoF robotic systems, such as manipulators, is a challenging problem, especially when the environment is populated with the dynamic obstacles that need to be avoided. In this case the time…

Robotics · Computer Science 2025-01-20 Nuraddin Kerimov , Aleksandr Onegin , Konstantin Yakovlev

Rapidly-exploring random trees (RRTs) are popular in motion planning because they find solutions efficiently to single-query problems. Optimal RRTs (RRT*s) extend RRTs to the problem of finding the optimal solution, but in doing so…

Robotics · Computer Science 2014-12-01 Jonathan D. Gammell , Siddhartha S. Srinivasa , Timothy D. Barfoot

K-nearest neighbor (kNN) search has wide applications in many areas, including data mining, machine learning, statistics and many applied domains. Inspired by the success of ensemble methods and the flexibility of tree-based methodology, we…

Machine Learning · Statistics 2020-05-27 Donghui Yan , Yingjie Wang , Jin Wang , Honggang Wang , Zhenpeng Li

This paper extends the RRT* algorithm, a recently developed but widely-used sampling-based optimal motion planner, in order to effectively handle nonlinear kinodynamic constraints. Nonlinearity in kinodynamic differential constraints often…

Robotics · Computer Science 2016-03-15 Jung-Su Ha , Han-Lim Choi , Jeong hwan Jeon

Motion planning is a fundamental problem in robotics that involves generating feasible trajectories for a robot to follow. Recent advances in parallel computing, particularly through CPU and GPU architectures, have significantly reduced…

Robotics · Computer Science 2025-05-13 Jiaming Hu , Jiawei Wang , Henrik Christensen

High-dimensional motion planning problems can often be solved significantly faster by using multilevel abstractions. While there are various ways to formally capture multilevel abstractions, we formulate them in terms of fiber bundles.…

Robotics · Computer Science 2023-10-24 Andreas Orthey , Sohaib Akbar , Marc Toussaint

In this paper, we present a new algorithm that extends RRT* and RT-RRT* for online path planning in complex, dynamic environments. Sampling-based approaches often perform poorly in environments with narrow passages, a feature common to many…

Robotics · Computer Science 2021-09-10 Daniel Armstrong , André Jonasson

Classical sampling-based motion planners like the RRTs suffer from inefficiencies, particularly in cluttered or high-dimensional spaces, due to their reliance on undirected, random sampling. This paper introduces the Episodic RRT, a novel…

Robotics · Computer Science 2025-07-23 Xinyu Wu

Rapidly-exploring Random Trees (RRT) and its variations have emerged as a robust and efficient tool for finding collision-free paths in robotic systems. However, adding dynamic constraints makes the motion planning problem significantly…

Semantic segmentation with Convolutional Neural Networks is a memory-intensive task due to the high spatial resolution of feature maps and output predictions. In this paper, we present Quadtree Generating Networks (QGNs), a novel approach…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Kashyap Chitta , Jose M. Alvarez , Martial Hebert

Random Forest (RF) is a popular tree-ensemble method for supervised learning, prized for its ease of use and flexibility. Online RF models require to account for new training data to maintain model accuracy. This is particularly important…

Quantum Physics · Physics 2024-07-12 Romina Yalovetzky , Niraj Kumar , Changhao Li , Marco Pistoia

A significant challenge in the field of quantum machine learning (QML) is to establish applications of quantum computation to accelerate common tasks in machine learning such as those for neural networks. Ridgelet transform has been a…

Quantum Physics · Physics 2023-10-24 Hayata Yamasaki , Sathyawageeswar Subramanian , Satoshi Hayakawa , Sho Sonoda

This study introduces and evaluates the Quantile Regressor Tree (QRT), a novel methodology merging the robust characteristics of quantile regression with the versatility of decision trees. The quantile regressor tree introduces…

Applications · Statistics 2024-07-30 Jaachinma Okafor , Lateefah Isegen , Ark Ifeanyi

Finding a collision-free path for autonomous parking is usually performed by computing geometric equations, but the geometric approach may become unusable under challenging situations where space is highly constrained. We propose an…

Robotics · Computer Science 2020-02-12 Jiri Vlasak , Michal Sojka , Zdeněk Hanzálek

Sampling efficiency in a highly constrained environment has long been a major challenge for sampling-based planners. In this work, we propose Rapidly-exploring Random disjointed-Trees* (RRdT*), an incremental optimal multi-query planner.…

Robotics · Computer Science 2019-02-28 Tin Lai , Fabio Ramos , Gilad Francis

We investigate pruning in search trees of so-called quantified integer linear programs (QIPs). QIPs consist of a set of linear inequalities and a minimax objective function, where some variables are existentially and others are universally…

Discrete Mathematics · Computer Science 2022-09-28 Michael Hartisch , Ulf Lorenz