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Crossing minimization is one of the central problems in graph drawing. Recently, there has been an increased interest in the problem of minimizing crossings between paths in drawings of graphs. This is the metro-line crossing minimization…

Data Structures and Algorithms · Computer Science 2013-06-19 Martin Fink , Sergey Pupyrev

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

Optimization-based methods are commonly applied in autonomous driving trajectory planners, which transform the continuous-time trajectory planning problem into a finite nonlinear program with constraints imposed at finite collocation…

Robotics · Computer Science 2024-02-09 Bai Li , Youmin Zhang , Tantan Zhang , Tankut Acarman , Yakun Ouyang , Li Li , Hairong Dong , Dongpu Cao

This paper proposes a simplified version of classical models for urban transportation networks, and studies the problem of controlling intersections with the goal of optimizing network-wide congestion. Differently from traditional…

Optimization and Control · Mathematics 2018-11-08 Gianluca Bianchin , Fabio Pasqualetti

This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

Machine Learning · Computer Science 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon

As science advances, the academic community has published millions of research papers. Researchers devote time and effort to search relevant manuscripts when writing a paper or simply to keep up with current research. In this paper, we…

Information Retrieval · Computer Science 2018-12-11 Haofeng Jia , Erik Saule

In this paper, we present a method to generate compact geometric track-maps for train-borne localization applications. Therefore, we first give a brief overview on the purpose of track maps in train-positioning applications. It becomes…

Machine Learning · Computer Science 2019-09-04 Hanno Winter , Stefan Luthardt , Volker Willert , Jürgen Adamy

As a pivotal tool to alleviate the information overload problem, recommender systems aim to predict user's preferred items from millions of candidates by analyzing observed user-item relations. As for alleviating the sparsity and cold start…

Information Retrieval · Computer Science 2022-05-24 Yue Deng

In vehicular traffic planning it is a long standing problem how to assign demand such on the available model of a road network that an equilibrium with regard to travel time or generalized costs is realized. For pedestrian traffic this…

Multiagent Systems · Computer Science 2014-01-09 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

Optimizing paths on networks is crucial for many applications, from subway traffic to Internet communication. As global path optimization that takes account of all path-choices simultaneously is computationally hard, most existing routing…

Physics and Society · Physics 2013-09-05 Chi Ho Yeung , David Saad , K. Y. Michael Wong

Edge bundling reduces the visual clutter in a drawing of a graph by uniting the edges into bundles. We propose a method of edge bundling drawing each edge of a bundle separately as in metro-maps and call our method ordered bundles. To…

Computational Geometry · Computer Science 2012-09-20 Sergey Bereg , Alexander E. Holroyd , Lev Nachmanson , Sergey Pupyrev

A road map can be interpreted as a graph embedded in the plane, in which each vertex corresponds to a road junction and each edge to a particular road section. We consider the cartographic problem to place non-overlapping road labels along…

Computational Geometry · Computer Science 2015-01-29 Andreas Gemsa , Benjamin Niedermann , Martin Nöllenburg

The challenge in combined task and motion planning (TAMP) is the effective integration of a search over a combinatorial space, usually carried out by a task planner, and a search over a continuous configuration space, carried out by a…

Robotics · Computer Science 2024-03-26 Magí Dalmau-Moreno , Néstor García , Vicenç Gómez , Héctor Geffner

Complex networks can be used for modeling street meshes and urban agglomerates. With such a model, many aspects of a city can be investigated to promote a better quality of life to its citizens. Along these lines, this paper proposes a set…

Computational Engineering, Finance, and Science · Computer Science 2018-12-31 Gabriel Spadon , Bruno B. Machado , Danilo M. Eler , Jose Fernando Rodrigues-Jr

Map-to-map matching is a critical task for aligning spatial data across heterogeneous sources, yet it remains challenging due to the lack of ground truth correspondences, sparse node features, and scalability demands. In this paper, we…

Machine Learning · Computer Science 2026-01-21 Chaolong Ying , Yinan Zhang , Lei Zhang , Jiazhuang Wang , Shujun Jia , Tianshu Yu

We consider the line planning problem in public transport in the Parametric City, an idealized model that captures typical scenarios by a (small) number of parameters. The Parametric City is rotation symmetric, but optimal line plans are…

Optimization and Control · Mathematics 2022-01-25 Berenike Masing , Niels Lindner , Ralf Borndörfer

Modeling and designing urban building layouts is of significant interest in computer vision, computer graphics, and urban applications. A building layout consists of a set of buildings in city blocks defined by a network of roads. We…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Liu He , Daniel Aliaga

Urban intersections are prone to delays and inefficiencies due to static precedence rules and occlusions limiting the view on prioritized traffic. Existing approaches to improve traffic flow, widely known as automatic intersection…

Robotics · Computer Science 2022-07-27 Marvin Klimke , Benjamin Völz , Michael Buchholz

Point feature map labeling is a geometric problem, in which a set of input points must be labeled with a set of disjoint rectangles (the bounding boxes of the label texts). Typically, labeling models either use internal labels, which must…

Computational Geometry · Computer Science 2015-01-28 Maarten Löffler , Martin Nöllenburg , Frank Staals

Mapping is a time-consuming process for deploying robotic systems to new environments. The handling of maps is also risk-adverse when not managed effectively. We propose here, a standardised approach to handling such maps in a manner which…

Robotics · Computer Science 2024-04-23 James R. Heselden , Gautham P. Das