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The selection of best variables is a challenging problem in supervised and unsupervised learning, especially in high dimensional contexts where the number of variables is usually much larger than the number of observations. In this paper,…

Methodology · Statistics 2024-04-01 Benoit Liquet , Sarat Moka , Samuel Muller

We consider the problem of finding an optimal piecewise linear path (polygonal line) connecting two given points with the possibility of making n turns at some points (the absolute value of each turn angle does not exceed a prescribed…

Optimization and Control · Mathematics 2026-05-18 Nefedov V. N

In the context of the optimization of rotating electric machines, many different objective functions are of interest and considering this during the optimization is of crucial importance. While evolutionary algorithms can provide a Pareto…

Optimization and Control · Mathematics 2024-04-19 Alessio Cesarano , Peter Gangl

Efficient path planning for autonomous mobile robots is a critical problem across numerous domains, where optimizing both time and energy consumption is paramount. This paper introduces a novel methodology that considers the dynamic…

Robotics · Computer Science 2025-03-17 Víctor C. da S. Campos , Armando A. Neto , Douglas G. Macharet

We describe a general probabilistic framework to address a variety of Frechet-distance optimization problems. Specifically, we are interested in finding minimal bottleneck-paths in $d$-dimensional Euclidean space between given start and…

Computational Geometry · Computer Science 2016-07-12 Kiril Solovey , Dan Halperin

Problem of finding 2D paths of special shape, e.g. paths comprised of line segments having the property that the angle between any two consecutive segments does not exceed the predefined threshold, is considered in the paper. This problem…

Artificial Intelligence · Computer Science 2018-11-05 Anton Andreychuk , Natalia Soboleva , Konstantin Yakovlev

The ubiquitous expansion and transformation of the energy supply system involves large-scale power infrastructure construction projects. In the view of investments of more than a million dollars per kilometre, planning authorities aim to…

Optimization and Control · Mathematics 2021-02-02 Nina Wiedemann , David Adjiashvili

The problem of path planning for automated parking is usually presented as finding a collision-free path from initial to goal positions, where three out of four parking slot edges represent obstacles. We rethink the path planning problem…

Robotics · Computer Science 2022-05-06 Jiri Vlasak , Michal Sojka , Zdeněk Hanzálek

The main aim of this paper is to solve a path planning problem for an autonomous mobile robot in static and dynamic environments. The problem is solved by determining the collision-free path that satisfies the chosen criteria for shortest…

Robotics · Computer Science 2020-03-24 Fatin H. Ajeil , Ibraheem Kasim Ibraheem , Mouayad A. Sahib , Amjad J. Humaidi

A shortest-path algorithm finds a path containing the minimal cost between two vertices in a graph. A plethora of shortest-path algorithms is studied in the literature that span across multiple disciplines. This paper presents a survey of…

Data Structures and Algorithms · Computer Science 2017-05-08 Amgad Madkour , Walid G. Aref , Faizan Ur Rehman , Mohamed Abdur Rahman , Saleh Basalamah

We study a path-planning problem amid a set $\mathcal{O}$ of obstacles in $\mathbb{R}^2$, in which we wish to compute a short path between two points while also maintaining a high clearance from $\mathcal{O}$; the clearance of a point is…

Computational Geometry · Computer Science 2017-06-12 Pankaj K. Agarwal , Kyle Fox , Oren Salzman

Motion planning in the presence of multiple dynamic obstacles is an important research problem from the perspective of autonomous vehicles as well as space-constrained multi-robot work environment. In this paper, we address the motion…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Trishant Roy , Anindya Harchowdhury , Leena Vachhani

Deep learning-based grasp prediction models have become an industry standard for robotic bin-picking systems. To maximize pick success, production environments are often equipped with several end-effector tools that can be swapped…

Robotics · Computer Science 2023-02-17 Khashayar Rohanimanesh , Jake Metzger , William Richards , Aviv Tamar

We study the problem of path planning for unlabeled (indistinguishable) unit-disc robots in a planar environment cluttered with polygonal obstacles. We introduce an algorithm which minimizes the total path length, i.e., the sum of lengths…

Computational Geometry · Computer Science 2015-04-22 Kiril Solovey , Jingjin Yu , Or Zamir , Dan Halperin

We propose an optimal algorithm for solving the longest path problem in undirected weighted graphs. By using graph partitioning and dynamic programming, we obtain an algorithm that is significantly faster than other state-of-the-art…

Data Structures and Algorithms · Computer Science 2017-02-15 Tomas Balyo , Kai Fieger , Christian Schulz

Efficient motion planning algorithms are of central importance for deploying robots in the real world. Unfortunately, these algorithms often drastically reduce the dimensionality of the problem for the sake of feasibility, thereby foregoing…

Robotics · Computer Science 2022-12-02 Alex Beaudin , Hsiu-Chin Lin

The shortest path problem in graphs is fundamental to AI. Nearly all variants of the problem and relevant algorithms that solve them ignore edge-weight computation time and its common relation to weight uncertainty. This implies that taking…

Data Structures and Algorithms · Computer Science 2024-03-29 Eyal Weiss , Ariel Felner , Gal A. Kaminka

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

Many robotics applications benefit from being able to compute multiple locally optimal paths in a given configuration space. Examples include path planning for of tethered robots with cable-length constraints, systems involving cables,…

Robotics · Computer Science 2023-07-12 Alp Sahin , Subhrajit Bhattacharya

This paper proposes a novel mission planning algorithm for autonomous robots that selects an optimal waypoint sequence from a predefined set to maximize total reward while satisfying obstacle avoidance, state, input, derivative, mission…

Robotics · Computer Science 2025-05-07 Jose D. Hoyos , Tianyu Zhou , Zehui Lu , Shaoshuai Mou
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