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The present work extends the randomized shortest-paths framework (RSP), interpolating between shortest-path and random-walk routing in a network, in three directions. First, it shows how to deal with equality constraints on a subset of…

Machine Learning · Computer Science 2018-07-13 Bertrand Lebichot , Guillaume Guex , Ilkka Kivimäki , Marco Saerens

Randomized Greedy Algorithms (RGAs) are interesting approaches to solve problems whose structures are not well understood as well as problems in combinatorial optimization which incorporate the random processes and the greedy algorithms.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Pham Dinh Thanh , Huynh Thi Thanh Binh , Do Dinh Dac , Nguyen Binh Long , Le Minh Hai Phong

The paper proposes novel sampling strategies to compute the optimal path alteration of a surface vessel sailing in close quarters. Such strategy directly encodes the rules for safe navigation at sea, by exploiting the concept of minimal…

Robotics · Computer Science 2022-01-12 Thomas Thuesen Enevoldsen , Christopher Reinartz , Roberto Galeazzi

This paper considers optimal control of dynamical systems which are represented by nonlinear stochastic differential equations. It is well-known that the optimal control policy for this problem can be obtained as a function of a value…

Robotics · Computer Science 2014-05-30 Oktay Arslan , Evangelos Theodorou , Panagiotis Tsiotras

Continuum robots, characterized by their high flexibility and infinite degrees of freedom (DoFs), have gained prominence in applications such as minimally invasive surgery and hazardous environment exploration. However, the intrinsic…

Robotics · Computer Science 2023-09-26 Peiyu Luo , Shilong Yao , Yiyao Yue , Jiankun Wang , Hong Yan , Max Q. -H. Meng

Sidewalk delivery robots are a promising solution for last-mile freight distribution. Yet, they operate in dynamic environments characterized by pedestrian flows and potential obstacles, which make travel times highly uncertain and can…

Robotics · Computer Science 2026-04-16 Xing Tong , Michele D. Simoni

We study the Stochastic Shortest Path (SSP) problem with a linear mixture transition kernel, where an agent repeatedly interacts with a stochastic environment and seeks to reach certain goal state while minimizing the cumulative cost.…

Machine Learning · Computer Science 2024-02-15 Qiwei Di , Jiafan He , Dongruo Zhou , Quanquan Gu

Stochastic shortest path (SSP) is a well-known problem in planning and control, in which an agent has to reach a goal state in minimum total expected cost. In the learning formulation of the problem, the agent is unaware of the environment…

Machine Learning · Computer Science 2020-02-25 Alon Cohen , Haim Kaplan , Yishay Mansour , Aviv Rosenberg

This paper addresses the fast replanning problem in dynamic environments with moving obstacles. Since for randomly moving obstacles the future states are unpredictable, the proposed method, called SMARRT, reacts to obstacle motions and…

Robotics · Computer Science 2021-09-14 Zongyuan Shen , James Wilson , Ryan Harvey , Shalabh Gupta

This paper presents a novel algorithm, called MRRT, which uses multiple rapidly-exploring random trees for fast online replanning of autonomous vehicles in dynamic environments with moving obstacles. The proposed algorithm is built upon the…

Robotics · Computer Science 2021-04-23 Zongyuan Shen , James P. Wilson , Ryan Harvey , Shalabh Gupta

The sampling based motion planning algorithm known as Rapidly-exploring Random Trees (RRT) has gained the attention of many researchers due to their computational efficiency and effectiveness. Recently, a variant of RRT called RRT* has been…

Robotics · Computer Science 2017-03-28 Ahmed Hussain Qureshi , Yasar Ayaz

Online planning in Markov Decision Processes (MDPs) enables agents to make sequential decisions by simulating future trajectories from the current state, making it well-suited for large-scale or dynamic environments. Sample-based methods…

Artificial Intelligence · Computer Science 2025-09-22 Tamir Shazman , Idan Lev-Yehudi , Ron Benchetit , Vadim Indelman

This paper presents a sampling-based method for optimal motion planning in non-holonomic systems in the absence of known cost functions. It uses the principle of learning through experience to deduce the cost-to-go of regions within the…

Robotics · Computer Science 2021-01-08 Nahas Pareekutty , Francis James , Balaraman Ravindran , Suril V. Shah

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

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

We present Lower Bound Tree-RRT (LBT-RRT), a single-query sampling-based algorithm that is asymptotically near-optimal. Namely, the solution extracted from LBT-RRT converges to a solution that is within an approximation factor of 1+epsilon…

Robotics · Computer Science 2015-03-05 Oren Salzman , Dan Halperin

Rapidly-exploring random tree (RRT) has been applied for autonomous parking due to quickly solving high-dimensional motion planning and easily reflecting constraints. However, planning time increases by the low probability of extending…

Robotics · Computer Science 2022-01-20 Minsoo Kim , Joonwoo Ahn , Jaeheung Park

Rapidly Exploring Random Trees (RRT) is one of the most widely used algorithms for motion planning in the field of robotics. To reduce the exploration time, RRT-Connect was introduced where two trees are simultaneously formed and eventually…

Robotics · Computer Science 2023-05-16 Darshit Patel , Azim Eskandarian

In the dynamic Single-Source Shortest Paths (SSSP) problem, we are given a graph $G=(V,E)$ subject to edge insertions and deletions and a source vertex $s\in V$, and the goal is to maintain the distance $d(s,t)$ for all $t\in V$.…

Data Structures and Algorithms · Computer Science 2020-01-30 Maximilian Probst Gutenberg , Virginia Vassilevska Williams , Nicole Wein

Sampling-based motion planners such as Rapidly-exploring Random Tree* (RRT*) and its informed variant IRRT* are widely used for optimal path planning in complex environments. However, these methods often suffer from slow convergence and…

Robotics · Computer Science 2025-05-29 Hyejeong Ryu