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Related papers: Generalized Maneuvers in Route Planning

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Networks are a useful representation for data on connections between units of interests, but the observed connections are often noisy and/or include missing values. One common approach to network analysis is to treat the network as a…

Methodology · Statistics 2017-05-22 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

In graph modification problems, one is given a graph G and the goal is to apply a minimum number of modification operations (such as edge deletions) to G such that the resulting graph fulfills a certain property. For example, the Cluster…

Data Structures and Algorithms · Computer Science 2016-06-13 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier

Human mobility patterns are complex and distinct from one person to another. Nevertheless, motivated by tremendous potential benefits of modeling such patterns in enabling new mobile services and technologies, researchers have attempted to…

Networking and Internet Architecture · Computer Science 2013-07-09 Seyed Kaveh Fayazbakhsh

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as parameters and form part of the input of the underlying…

Algebraic Topology · Mathematics 2021-10-15 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

We define a minimal model of traffic flows in complex networks containing the most relevant features of real routing schemes, i.e. a trade--off strategy between topological-based and traffic-based routing. The resulting collective behavior,…

Physics and Society · Physics 2009-11-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

This 'research preview' paper introduces an adaptive path planning framework for robotic mission execution in assistive-care applications. The framework provides a graph-based environment modelling approach, with dynamic path finding…

Robotics · Computer Science 2022-09-29 Jordan Hamilton , Ioannis Stefanakos , Radu Calinescu , Javier Cámara

Multi-agent path finding (MAPF) is well-studied in artificial intelligence, robotics, theoretical computer science and operations research. We discuss issues that arise when generalizing MAPF methods to real-world scenarios and four…

Artificial Intelligence · Computer Science 2017-02-21 Hang Ma , Sven Koenig , Nora Ayanian , Liron Cohen , Wolfgang Hoenig , T. K. Satish Kumar , Tansel Uras , Hong Xu , Craig Tovey , Guni Sharon

The improvement of traffic efficiency at urban intersections receives strong research interest in the field of automated intersection management. So far, mostly non-learning algorithms like reservation or optimization-based ones were…

Robotics · Computer Science 2022-11-10 Marvin Klimke , Jasper Gerigk , Benjamin Völz , Michael Buchholz

The objective function used in trajectory optimization is often non-convex and can have an infinite set of local optima. In such cases, there are diverse solutions to perform a given task. Although there are a few methods to find multiple…

Robotics · Computer Science 2021-07-14 Takayuki Osa

We demonstrate that a single training trajectory can transform a graph neural network into an unsupervised heuristic for combinatorial optimization. Focusing on the Travelling Salesman Problem, we show that encoding global structural…

Artificial Intelligence · Computer Science 2026-02-03 Yimeng Min , Carla P. Gomes

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

Numerical Analysis · Mathematics 2020-06-09 Markus Haltmeier , Linh V. Nguyen

In normal on-road situations, autonomous vehicles will be expected to have smooth trajectories with relatively little demand on the vehicle dynamics to ensure passenger comfort and driving safety. However, the occurrence of unexpected…

Systems and Control · Computer Science 2017-06-26 Florent Altché , Philip Polack , Arnaud de La Fortelle

Many real-world problems encountered in several disciplines deal with the modeling of time-series containing different underlying dynamical regimes, for which probabilistic approaches are very often employed. In this paper we describe…

Machine Learning · Statistics 2015-03-19 Silvia Chiappa

What does a typical road network look like? Existing generative models tend to focus on one aspect to the exclusion of others. We introduce the general-purpose \emph{quadtree model} and analyze its shortest paths and maximum flow.

Discrete Mathematics · Computer Science 2011-01-28 David Eisenstat

We present the generic Dijkstra shortest path algorithm: an efficient algorithm for finding a shortest path in an optical network, both in a wavelength-division multiplexed network, and an elastic optical network (EON). The proposed…

Networking and Internet Architecture · Computer Science 2020-01-08 Ireneusz Szcześniak , Andrzej Jajszczyk , Bożena Woźna-Szcześniak

Data driven approaches for decision making applied to automated driving require appropriate generalization strategies, to ensure applicability to the world's variability. Current approaches either do not generalize well beyond the training…

Machine Learning · Computer Science 2022-03-11 Karl Kurzer , Philip Schörner , Alexander Albers , Hauke Thomsen , Karam Daaboul , J. Marius Zöllner

We propose in this article an adaptation of the basic techniques of the deterministic network calculus theory to the road traffic flow theory. Network calculus is a theory based on min-plus algebra. It uses algebraic techniques to compute…

Optimization and Control · Mathematics 2013-02-04 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

Planar graph drawings tend to be aesthetically pleasing. In this poster we explore a Neural Network's capability of learning various planar graph classes. Additionally, we also investigate the effectiveness of the model in generalizing…

Computational Geometry · Computer Science 2022-09-07 Smon van Wageningen , Tamara Mchedlidze

We introduce and study a mathematical framework for a broad class of regularization functionals for ill-posed inverse problems: Regularization Graphs. Regularization graphs allow to construct functionals using as building blocks linear…

Optimization and Control · Mathematics 2022-09-28 Kristian Bredies , Marcello Carioni , Martin Holler
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