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We define the \emph{visual complexity} of a plane graph drawing to be the number of basic geometric objects needed to represent all its edges. In particular, one object may represent multiple edges (e.g., one needs only one line segment to…

Computational Geometry · Computer Science 2018-09-10 Gregor Hültenschmidt , Philipp Kindermann , Wouter Meulemans , André Schulz

Inspired by cartographic generalization principles, we present a generalization technique for rendering line charts at different sizes, preserving the important semantics of the data at that display size. The algorithm automatically…

Graphics · Computer Science 2021-10-26 Vidya Setlur , Haeyong Chung

Motivated by recent extensive studies on Wenger graphs, we introduce a new infinite class of bipartite graphs of the similar type, called linearized Wenger graphs. The spectrum, diameter and girth of these linearized Wenger graphs are…

Combinatorics · Mathematics 2014-12-02 Xiwang Cao , Mei Lu , Daqing Wan , Li-Ping Wang , Qiang Wang

A graph is \emph{fan-crossing free} if it has a drawing in the plane so that each edge is crossed by independent edges, that is the crossing edges have distinct vertices. On the other hand, it is \emph{fan-crossing} if the crossing edges…

Discrete Mathematics · Computer Science 2020-12-14 Franz J. Brandenburg

An $n$-Venn diagram is a certain collection of $n$ simple closed curves in the plane. They can be regarded as graphs where the points of intersection are vertices and the curve segments between points of intersection are edges. Every…

Combinatorics · Mathematics 2015-04-28 Gara Pruesse , Frank Ruskey

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

Social and Information Networks · Computer Science 2020-11-12 Giuseppe Pirrò

Aperture synthesis observations with full polarisation have long been used to study the magnetic fields of synchrotron emitting sources. Recently proposed closure invariants give us a powerful method for extracting information from measured…

Instrumentation and Methods for Astrophysics · Physics 2024-07-02 Vinay Kumar , Rajaram Nityananda , Joseph Samuel

As recent generative models can generate photo-realistic images, people seek to understand the mechanism behind the generation process. Interpretable generation process is beneficial to various image editing applications. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Yu-Ding Lu , Hsin-Ying Lee , Hung-Yu Tseng , Ming-Hsuan Yang

The direct detection and characterization of planetary and substellar companions at small angular separations is a rapidly advancing field. Dedicated high-contrast imaging instruments deliver unprecedented sensitivity, enabling detailed…

Earth and Planetary Astrophysics · Physics 2019-01-25 Tomas Stolker , Markus J. Bonse , Sascha P. Quanz , Adam Amara , Gabriele Cugno , Alexander J. Bohn , Anna Boehle

A visibility representation is a classical drawing style of planar graphs. It displays the vertices of a graph as horizontal vertex-segments, and each edge is represented by a vertical edge-segment touching the segments of its end vertices;…

Computational Geometry · Computer Science 2013-08-26 Franz J. Brandenburg

Generative models able to synthesize layouts of different kinds (e.g. documents, user interfaces or furniture arrangements) are a useful tool to aid design processes and as a first step in the generation of synthetic data, among other…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Diego Martin Arroyo , Janis Postels , Federico Tombari

Humans can intuitively decompose an image into a sequence of strokes to create a painting, yet existing methods for generating drawing processes are limited to specific data types and often rely on expensive human-annotated datasets. We…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Junjie Hu , Shuyong Gao , Qianyu Guo , Yan Wang , Qishan Wang , Yuang Feng , Wenqiang Zhang

Recent advances in semi-supervised learning methods rely on estimating the categories of unlabeled data using a model trained on the labeled data (pseudo-labeling) and using the unlabeled data for various consistency-based regularization.…

Machine Learning · Computer Science 2019-06-14 Chia-Wen Kuo , Chih-Yao Ma , Jia-Bin Huang , Zsolt Kira

Topological drawings are natural representations of graphs in the plane, where vertices are represented by points, and edges by curves connecting the points. Topological drawings of complete graphs and of complete bipartite graphs have been…

Computational Geometry · Computer Science 2017-02-10 Jean Cardinal , Stefan Felsner

We introduce PathGAN, a deep neural network for visual scanpath prediction trained on adversarial examples. A visual scanpath is defined as the sequence of fixation points over an image defined by a human observer with its gaze. PathGAN is…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Marc Assens , Xavier Giro-i-Nieto , Kevin McGuinness , Noel E. O'Connor

Time series visualization plays a crucial role in identifying patterns and extracting insights across various domains. However, as datasets continue to grow in size, visualizing them effectively becomes challenging. Downsampling, which…

Human-Computer Interaction · Computer Science 2023-04-04 Jonas Van Der Donckt , Jeroen Van Der Donckt , Michael Rademaker , Sofie Van Hoecke

Researchers in the humanities are among the many who are now exploring the world of big data. They have begun to use programming languages like Python or R and their corresponding libraries to manipulate large data sets and discover brand…

Software Engineering · Computer Science 2020-07-30 Dewi Yokelson

In view of the huge success of convolution neural networks (CNN) for image classification and object recognition, there have been attempts to generalize the method to general graph-structured data. One major direction is based on spectral…

Machine Learning · Computer Science 2020-03-09 Feng Ji , Jielong Yang , Qiang Zhang , Wee Peng Tay

We introduce diagrams for $m$-cluster categories which we call "horizontal" and "vertical" mutation fans. These are analogous to the mutation fans (also known as "semi-invariant pictures" or "scattering diagrams") for the standard ($m=1$)…

Representation Theory · Mathematics 2018-05-18 Kiyoshi Igusa

Graph Neural Networks (GNNs) have deeply modified the landscape of numerical simulations by demonstrating strong capabilities in approximating solutions of physical systems. However, their ability to extrapolate beyond their training domain…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem