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Localization in a pre-built map is a basic technique for robot autonomous navigation. Existing mapping and localization methods commonly work well in small-scale environments. As a map grows larger, however, more memory is required and…

Robotics · Computer Science 2023-03-21 Xiaoyu Zhang , Yun-Hui Liu

The input to the distant representatives problem is a set of $n$ objects in the plane and the goal is to find a representative point from each object while maximizing the distance between the closest pair of points. When the objects are…

Computational Geometry · Computer Science 2021-08-18 Therese Biedl , Anna Lubiw , Anurag Murty Naredla , Peter Dominik Ralbovsky , Graeme Stroud

We investigate the classes of functions whose minimization diagrams can be approximated efficiently in \Re^d. We present a general framework and a data-structure that can be used to approximate the minimization diagram of such functions.…

Computational Geometry · Computer Science 2013-04-03 Sariel Har-Peled , Nirman Kumar

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

Discrete Mathematics · Computer Science 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

Goal recognition is an important problem in many application domains (e.g., pervasive computing, intrusion detection, computer games, etc.). In many application scenarios it is important that goal recognition algorithms can recognize goals…

Artificial Intelligence · Computer Science 2023-01-26 Nils Wilken , Lea Cohausz , Johannes Schaum , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

Databases · Computer Science 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Isocontours in road networks represent the area that is reachable from a source within a given resource limit. We study the problem of computing accurate isocontours in realistic, large-scale networks. We propose polygons with minimum…

Data Structures and Algorithms · Computer Science 2016-02-05 Moritz Baum , Thomas Bläsius , Andreas Gemsa , Ignaz Rutter , Franziska Wegner

We investigate the Minimum Eccentricity Shortest Path problem in some structured graph classes. It asks for a given graph to find a shortest path with minimum eccentricity. Although it is NP-hard in general graphs, we demonstrate that a…

Discrete Mathematics · Computer Science 2015-11-17 Feodor F. Dragan , Arne Leitert

Recent advancements in statistical learning and computational abilities have enabled autonomous vehicle technology to develop at a much faster rate. While many of the architectures previously introduced are capable of operating under highly…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 David Paz , Hengyuan Zhang , Qinru Li , Hao Xiang , Henrik Christensen

The detection of curved lanes is still challenging for autonomous driving systems. Although current cutting-edge approaches have performed well in real applications, most of them are based on strict model assumptions. Similar to other…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Jianhao Jiao , Rui Fan , Han Ma , Ming Liu

Contrastive learning based methods such as cascade comparing to detect (CC2D) have shown great potential for one-shot medical landmark detection. However, the important cue of relative distance between landmarks is ignored in CC2D. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Qingsong Yao , Jianji Wang , Yihua Sun , Quan Quan , Heqin Zhu , S. Kevin Zhou

Analyzing interconnection structures among underlying entities or objects in a dataset through the use of graph analytics has been shown to provide tremendous value in many application domains. However, graphs are not the primary…

Databases · Computer Science 2017-02-14 Konstantinos Xirogiannopoulos , Amol Deshpande

Planning - the ability to analyze the structure of a problem in the large and decompose it into interrelated subproblems - is a hallmark of human intelligence. While deep reinforcement learning (RL) has shown great promise for solving…

Artificial Intelligence · Computer Science 2021-07-02 Lunjun Zhang , Ge Yang , Bradly C. Stadie

This paper presents a new approach for integrating semantic information for vision-based vehicle navigation. Although vision-based vehicle navigation systems using pre-mapped visual landmarks are capable of achieving submeter level accuracy…

Computer Vision and Pattern Recognition · Computer Science 2018-01-04 Varun Murali , Han-Pang Chiu , Supun Samarasekera , Rakesh , Kumar

Finding shortest paths in a graph is relevant for numerous problems in computer vision and graphics, including image segmentation, shape matching, or the computation of geodesic distances on discrete surfaces. Traditionally, the concept of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-09 Viktoria Ehm , Daniel Cremers , Florian Bernard

Road network representation learning aims to learn compressed and effective vectorized representations for road segments that are applicable to numerous tasks. In this paper, we identify the limitations of existing methods, particularly…

Machine Learning · Computer Science 2024-06-07 Haicang Zhou , Weiming Huang , Yile Chen , Tiantian He , Gao Cong , Yew-Soon Ong

Optimal transport distances are powerful tools to compare probability distributions and have found many applications in machine learning. Yet their algorithmic complexity prevents their direct use on large scale datasets. To overcome this…

Machine Learning · Statistics 2021-10-14 Kilian Fatras , Younes Zine , Rémi Flamary , Rémi Gribonval , Nicolas Courty

In this paper, we address the problem of landmark-based visual place recognition. In the state-of-the-art method, accurate object proposal algorithms are first leveraged for generating a set of local regions containing particular landmarks…

Robotics · Computer Science 2018-08-24 Bo Yang , Jun Li , Xiaosu Xu , Hong Zhang

Temporal graphs are commonly used to represent time-resolved relations between entities in many natural and artificial systems. Many techniques were devised to investigate the evolution of temporal graphs by comparing their state at…

Social and Information Networks · Computer Science 2024-11-20 Lorenzo Dall'Amico , Alain Barrat , Ciro Cattuto

Learning about the relationship between distance to landmarks and events and phenomena of interest is a multi-faceted problem, as it may require taking into account multiple dimensions, including: spatial position of landmarks, timing of…

Applications · Statistics 2024-09-11 Ines Levin