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A clique in a graph is a set of vertices, each of which is adjacent to every other vertex in this set. A k-clique relaxes this requirement, requiring vertices to be within a distance k of each other, rather than directly adjacent. In…

Data Structures and Algorithms · Computer Science 2014-08-28 Ciaran McCreesh , Patrick Prosser

We present a novel approach for relocalization or place recognition, a fundamental problem to be solved in many robotics, automation, and AR applications. Rather than relying on often unstable appearance information, we consider a situation…

Robotics · Computer Science 2022-08-30 Lan Hu , Zhongwei Luo , Runze Yuan , Yuchen Cao , Jiaxin Wei , Kai Wangand Laurent Kneip

Globally localizing in a given map is a crucial ability for robots to perform a wide range of autonomous navigation tasks. This paper presents OneShot - a global localization algorithm that uses only a single 3D LiDAR scan at a time, while…

Robotics · Computer Science 2020-04-01 Sebastian Ratz , Marcin Dymczyk , Roland Siegwart , Renaud Dubé

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, information retrieval and many other areas related to the World Wide Web. There exist several algorithms for the problem with…

Data Structures and Algorithms · Computer Science 2014-12-01 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

Matching landmark patches from a real-time image captured by an on-vehicle camera with landmark patches in an image database plays an important role in various computer perception tasks for autonomous driving. Current methods focus on local…

Computer Vision and Pattern Recognition · Computer Science 2024-04-08 Rui She , Qiyu Kang , Sijie Wang , Wee Peng Tay , Yong Liang Guan , Diego Navarro Navarro , Andreas Hartmannsgruber

Global visual geolocation predicts where an image was captured on Earth. Since images vary in how precisely they can be localized, this task inherently involves a significant degree of ambiguity. However, existing approaches are…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Nicolas Dufour , David Picard , Vicky Kalogeiton , Loic Landrieu

In this paper, we relate the problem of finding a maximum clique to the intersection number of the input graph (i.e. the minimum number of cliques needed to edge cover the graph). In particular, we consider the maximum clique problem for…

Discrete Mathematics · Computer Science 2012-04-19 S. Nikoletseas , C. Raptopoulos , P. G. Spirakis

In this work, we propose a novel framework for large-scale Gaussian process (GP) modeling. Contrary to the global, and local approximations proposed in the literature to address the computational bottleneck with exact GP modeling, we employ…

Machine Learning · Statistics 2023-12-19 Akhil Vakayil , Roshan Joseph

This paper presents a new approach for the challenging problem of geo-locating an image using image matching in a structured database of city-wide reference images with known GPS coordinates. We cast the geo-localization as a clustering…

Computer Vision and Pattern Recognition · Computer Science 2017-09-15 Eyasu Zemene , Yonatan Tariku , Haroon Idrees , Andrea Prati , Marcello Pelillo , Mubarak Shah

A novel approach to complex problems has been previously applied to graph classification and the graph equivalence problem. Here we apply it to the NP complete problem of finding the largest perfect clique within a graph $G$.

Condensed Matter · Physics 2007-05-23 Vladimir Gudkov , Shmuel Nussinov , Zohar Nussinov

Vision based localization is the problem of inferring the pose of the camera given a single image. One solution to this problem is to learn a deep neural network to infer the pose of a query image after learning on a dataset of images with…

Machine Learning · Computer Science 2019-11-11 Carlos Lassance , Yasir Latif , Ravi Garg , Vincent Gripon , Ian Reid

Visual localization to compute 6DoF camera pose from a given image has wide applications such as in robotics, virtual reality, augmented reality, etc. Two kinds of descriptors are important for the visual localization. One is global…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Pengju Zhang , Yihong Wu , Bingxi Liu

Mapping and localization are two essential tasks for mobile robots in real-world applications. However, largescale and dynamic scenes challenge the accuracy and robustness of most current mature solutions. This situation becomes even worse…

Robotics · Computer Science 2022-01-19 Fan Wang , Chaofan Zhang , Fulin Tang , Hongkui Jiang , Yihong Wu , Yong Liu

Graphs provide an efficient tool for object representation in various computer vision applications. Once graph-based representations are constructed, an important question is how to compare graphs. This problem is often formulated as a…

Machine Learning · Statistics 2010-04-30 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

In this paper we present a novel approach to global localization using an RGB-D camera in maps of visual features. For large maps, the performance of pure image matching techniques decays in terms of robustness and computational cost.…

Computer Vision and Pattern Recognition · Computer Science 2015-02-03 Miguel Heredia , Felix Endres , Wolfram Burgard , Rafael Sanz

Re-localizing a camera from a single image in a previously mapped area is vital for many computer vision applications in robotics and augmented/virtual reality. In this work, we address the problem of estimating the 6 DoF camera pose…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Mohammad Altillawi , Zador Pataki , Shile Li , Ziyuan Liu

Extremal graph theory studies the maximum or minimum number of subgraphs isomorphic to a prescribed graph under given constraints. \textit{Localization} has recently emerged as a framework that refines such problems by assigning extremal…

Combinatorics · Mathematics 2026-03-10 Rajat Adak , L. Sunil Chandran

Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global…

Combinatorics · Mathematics 2018-10-18 Jaroslav Nesetril , Patrice Ossona de Mendez

Graph neural networks (GNNs) emerge as a powerful family of representation learning models on graphs. To derive node representations, they utilize a global model that recursively aggregates information from the neighboring nodes. However,…

Machine Learning · Computer Science 2021-11-04 Zemin Liu , Yuan Fang , Chenghao Liu , Steven C. H. Hoi

Accurate localization is an essential technology for the flexible navigation of robots in large-scale environments. Both SLAM-based and map-based localization will increase the computing load due to the increase in map size, which will…

Robotics · Computer Science 2024-04-30 Yixiao Feng , Zhou Jiang , Yongliang Shi , Yunlong Feng , Xiangyu Chen , Hao Zhao , Guyue Zhou