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We present an innovative algorithm that simplifies the topology of a cross-field. Our algorithm works through macro-operations that allow us editing the graph of separatrices, which is extracted from a cross-field, while maintaining it…

Computational Geometry · Computer Science 2010-10-15 Daniele Panozzo , Enrico Puppo

Thanks to the rapid evolvement of robotic technologies, robot mowing is emerging to liberate humans from the tedious and time-consuming landscape work. Traditionally, robot mowing is perceived as a "Coverage Path Planning" problem, with a…

Robotics · Computer Science 2022-09-13 Zhaofeng Tian , Weisong Shi

Recurrent neural networks (RNNs) have recently achieved remarkable successes in a number of applications. However, the huge sizes and computational burden of these models make it difficult for their deployment on edge devices. A practically…

Machine Learning · Computer Science 2019-12-10 Liangjian Wen , Xuanyang Zhang , Haoli Bai , Zenglin Xu

We present a new and simple randomized algorithm for constructing the Delaunay triangulation using nearest neighbor graphs for point location. Under suitable assumptions, it runs in linear expected time for points in the plane with…

Computational Geometry · Computer Science 2009-12-13 Kevin Buchin

Discovering dense subgraphs and understanding the relations among them is a fundamental problem in graph mining. We want to not only identify dense subgraphs, but also build a hierarchy among them (e.g., larger but sparser subgraphs formed…

Social and Information Networks · Computer Science 2016-10-18 A. Erdem Sariyuce , Ali Pinar

Given a directed graph $G=(V,A)$, the Directed Maximum Leaf Spanning Tree problem asks to compute a directed spanning tree (i.e., an out-branching) with as many leaves as possible. By designing a Branch-and-Reduced algorithm combined with…

Data Structures and Algorithms · Computer Science 2009-11-11 Daniel Raible , Henning Fernau

The big breakthrough on the ImageNet challenge in 2012 was partially due to the `dropout' technique used to avoid overfitting. Here, we introduce a new approach called `Spectral Dropout' to improve the generalization ability of deep neural…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Salman Khan , Munawar Hayat , Fatih Porikli

Image quality degradation caused by raindrops is one of the most important but challenging problems that reduce the performance of vision systems. Most existing raindrop removal algorithms are based on a supervised learning method using…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Huijiao Wang , Shenghao Zhao , Lei Yu , Xulei Yang

In this paper, we discuss how to design the graph topology to reduce the communication complexity of certain algorithms for decentralized optimization. Our goal is to minimize the total communication needed to achieve a prescribed accuracy.…

Optimization and Control · Mathematics 2016-12-06 Yat-Tin Chow , Wei Shi , Tianyu Wu , Wotao Yin

This paper presents a novel algorithm, called MRRT, which uses multiple rapidly-exploring random trees for fast online replanning of autonomous vehicles in dynamic environments with moving obstacles. The proposed algorithm is built upon the…

Robotics · Computer Science 2021-04-23 Zongyuan Shen , James P. Wilson , Ryan Harvey , Shalabh Gupta

In this work, we introduce a novel evaluation framework for generative models of graphs, emphasizing the importance of model-generated graph overlap (Chanpuriya et al., 2021) to ensure both accuracy and edge-diversity. We delineate a…

Machine Learning · Computer Science 2023-12-07 Sudhanshu Chanpuriya , Cameron Musco , Konstantinos Sotiropoulos , Charalampos Tsourakakis

Classically, planning tasks are studied as a two-step process: plan creation and plan execution. In situations where plan creation is slow (for example, due to expensive information access or complex constraints), a natural speed-up tactic…

Data Structures and Algorithms · Computer Science 2025-02-17 Katrin Casel , Stefan Neubert

Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one can instead turn this problem into one of solving a…

Physics and Society · Physics 2020-12-11 Diego Baptista , Daniela Leite , Enrico Facca , Mario Putti , Caterina De Bacco

Orthogonal graph drawing has many applications, e.g., for laying out UML diagrams or cableplans. In this paper, we present a new pipeline that draws multigraphs orthogonally, using few bends, few crossings, and small area. Our pipeline…

Computational Geometry · Computer Science 2023-09-08 Tim Hegemann , Alexander Wolff

Truss decomposition is a method used to analyze large sparse graphs in order to identify successively better connected subgraphs. Since in many domains the underlying graph changes over time, its associated truss decomposition needs to be…

Social and Information Networks · Computer Science 2019-08-29 Venkata Rohit Jakkula , George Karypis

Untangling is a process in which some vertices of a planar graph are moved to obtain a straight-line plane drawing. The aim is to move as few vertices as possible. We present an algorithm that untangles the cycle graph C_n while keeping at…

Computational Geometry · Computer Science 2011-02-07 Josef Cibulka

Distribution grids refer to the part of the power grid that delivers electricity from substations to the loads. Structurally a distribution grid is operated in one of several radial/tree-like topologies that are derived from an original…

Optimization and Control · Mathematics 2016-03-08 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

We present a novel hierarchical graph clustering algorithm inspired by modularity-based clustering techniques. The algorithm is agglomerative and based on a simple distance between clusters induced by the probability of sampling node pairs.…

Social and Information Networks · Computer Science 2018-06-25 Thomas Bonald , Bertrand Charpentier , Alexis Galland , Alexandre Hollocou

Delaunay flip is an elegant, simple tool to convert a triangulation of a point set to its Delaunay triangulation. The technique has been researched extensively for full dimensional triangulations of point sets. However, an important case of…

Computational Geometry · Computer Science 2007-12-13 Siu-Wing Cheng , Tamal K. Dey

In recent years, graph neural networks (GNNs) have achieved state-of-the-art performance for node classification. However, most existing GNNs would suffer from the graph imbalance problem. In many real-world scenarios, node classes are…

Machine Learning · Computer Science 2022-06-14 Tianxiang Zhao , Xiang Zhang , Suhang Wang
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