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Related papers: Force-Directed Layout of Order Diagrams using Dime…

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This paper addresses the following basic question: given two layouts of the same graph, which one is more aesthetically pleasing? We propose a neural network-based discriminator model trained on a labeled dataset that decides which of two…

Data Structures and Algorithms · Computer Science 2018-09-05 Moritz Klammler , Tamara Mchedlidze , Alexey Pak

Statisticians and quantitative neuroscientists have actively promoted the use of independence relationships for investigating brain networks, genomic networks, and other measurement technologies. Estimation of these graphs depends on two…

Methodology · Statistics 2014-10-15 Fang Han , Huitong Qiu , Han Liu , Brian Caffo

Force-directed algorithms are widely used for visualizing graphs. However, these algorithms are computationally expensive in producing good quality layouts for complex graphs. The layout quality is largely influenced by execution time and…

Data Structures and Algorithms · Computer Science 2022-04-01 Se-Hang Cheong , Yain-Whar Si

Over the past decade, we witness an increasing amount of interest in the design of exact exponential-time and parameterized algorithms for problems in Graph Drawing. Unfortunately, we still lack knowledge of general methods to develop such…

Data Structures and Algorithms · Computer Science 2023-10-10 Siddharth Gupta , Guy Sa'ar , Meirav Zehavi

This paper is devoted to the design of efficient primal-dual algorithm (PDA) for solving convex optimization problems with known saddle-point structure. We present a new PDA with larger acceptable range of parameters and correction, which…

Optimization and Control · Mathematics 2019-12-04 Xiaokai Chang , Sanyang Liu

We propose a novel approach for learning node representations in directed graphs, which maintains separate views or embedding spaces for the two distinct node roles induced by the directionality of the edges. We argue that the previous…

Social and Information Networks · Computer Science 2019-07-01 Megha Khosla , Jurek Leonhardt , Wolfgang Nejdl , Avishek Anand

We present a new robotic drawing system based on stroke-based rendering (SBR). Our motivation is the artistic quality of the whole performance. Not only should the generated strokes in the final drawing resemble the input image, but the…

Robotics · Computer Science 2023-03-06 Ivaylo Ilinkin , Daeun Song , Young J. Kim

Dynamical systems on networks are inherently high-dimensional unless the number of nodes is extremely small. Dimension reduction methods for dynamical systems on networks aim to find a substantially lower-dimensional system that preserves…

Dynamical Systems · Mathematics 2025-03-24 Bisna Mary Eldo , Sarbendu Rakshit , Naoki Masuda

ZX-diagrams are a powerful graphical language for the description of quantum processes with applications in fundamental quantum mechanics, quantum circuit optimization, tensor network simulation, and many more. The utility of ZX-diagrams…

Quantum Physics · Physics 2024-10-01 Maximilian Nägele , Florian Marquardt

Graph is a universe data structure that is widely used to organize data in real-world. Various real-word networks like the transportation network, social and academic network can be represented by graphs. Recent years have witnessed the…

Machine Learning · Computer Science 2021-11-23 Xueyi Liu , Jie Tang

Given an initial placement of a set of rectangles in the plane, we consider the problem of finding a disjoint placement of the rectangles that minimizes the area of the bounding box and preserves the orthogonal order i.e.\ maintains the…

Computational Geometry · Computer Science 2015-02-24 Sayan Bandyapadhyay , Santanu Bhowmick , Kasturi Varadarajan

Text documents are complex high dimensional objects. To effectively visualize such data it is important to reduce its dimensionality and visualize the low dimensional embedding as a 2-D or 3-D scatter plot. In this paper we explore…

Computation and Language · Computer Science 2010-03-03 Yi Mao , Krishnakumar Balasubramanian , Guy Lebanon

Chain reduction enables reduced ordered binary decision diagrams (BDDs) and zero-suppressed binary decision diagrams (ZDDs) to each take advantage of the others' ability to symbolically represent Boolean functions in compact form. For any…

Data Structures and Algorithms · Computer Science 2017-10-19 Randal E. Bryant

We present an innovative framework for traffic dynamics analysis using High-Order Evolving Graphs, designed to improve spatio-temporal representations in autonomous driving contexts. Our approach constructs temporal bidirectional bipartite…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Aditya Humnabadkar , Arindam Sikdar , Benjamin Cave , Huaizhong Zhang , Paul Bakaki , Ardhendu Behera

Most of the common graph layout principles (a.k.a. "aesthetics") on which many graph drawing algorithms are based are easy to define and to perceive. For example, the number of pairs of edges that cross each other, how symmetric a drawing…

Human-Computer Interaction · Computer Science 2024-09-24 Gavin J. Mooney , Helen C. Purchase , Michael Wybrow , Stephen G. Kobourov , Jacob Miller

Drawing principles, or aesthetics, are important in graph drawing. They are used as criteria for algorithm design and for quality evaluation. Current aesthetics are described as visual properties that a drawing is required to have to be…

Human-Computer Interaction · Computer Science 2016-09-27 Weidong Huang

The local descriptors have gained wide range of attention due to their enhanced discriminative abilities. It has been proved that the consideration of multi-scale local neighborhood improves the performance of the descriptor, though at the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-25 Shiv Ram Dubey , Snehasis Mukherjee

The graphical notion of effective resistance has found wide-ranging applications in many areas of pure mathematics, applied mathematics and control theory. By the nature of its construction, effective resistance can only be computed in…

Optimization and Control · Mathematics 2013-10-23 George Forrest Young , Luca Scardovi , Naomi Ehrich Leonard

Topology diagrams are widely seen in power system applications, but their automatic generation is often easier said than done. When facing power transmission systems with strongly-meshed structures, existing approaches can hardly produce…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Jingyu Wang , Jinfu Chen , Dongyuan Shi , Xianzhong Duan

Data driven algorithm design is an important aspect of modern data science and algorithm design. Rather than using off the shelf algorithms that only have worst case performance guarantees, practitioners often optimize over large families…

Data Structures and Algorithms · Computer Science 2020-11-17 Maria-Florina Balcan