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Numerical computations involving rational matrices often benefit from preserving underlying matrix structures such as symmetry, Hermitian properties, or sparsity that reflect physical, geometric, or algebraic characteristics of the system.…

Rings and Algebras · Mathematics 2026-02-26 Avisek Bist , Namita Behera

Spectral sparsification is a general technique developed by Spielman et al. to reduce the number of edges in a graph while retaining its structural properties. We investigate the use of spectral sparsification to produce good visual…

Computational Geometry · Computer Science 2017-08-31 Peter Eades , Quan Nguyen , Seok-Hee Hong

Line Chart Data Extraction is a natural extension of Optical Character Recognition where the objective is to recover the underlying numerical information a chart image represents. Some recent works such as ChartOCR approach this problem…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Shufan Li , Congxi Lu , Linkai Li , Haoshuai Zhou

We present a comprehensive framework for evaluating line chart smoothing methods under a variety of visual analytics tasks. Line charts are commonly used to visualize a series of data samples. When the number of samples is large, or the…

Human-Computer Interaction · Computer Science 2020-09-22 Paul Rosen , Ghulam Jilani Quadri

A scalable graphical method is presented for selecting, and partitioning datasets for the training phase of a classification task. For the heuristic, a clustering algorithm is required to get its computation cost in a reasonable proportion…

Machine Learning · Computer Science 2019-07-25 Sumedh Yadav , Mathis Bode

Data Visualization has become an important aspect of big data analytics and has grown in sophistication and variety. We specifically identify the need for an analytical framework for data visualization with textual information. Data…

Social and Information Networks · Computer Science 2020-05-19 Cherilyn Conner , Jim Samuel , Andrey Kretinin , Yana Samuel , Lee Nadeau

Using different methods for laying out a graph can lead to very different visual appearances, with which the viewer perceives different information. Selecting a "good" layout method is thus important for visualizing a graph. The selection…

Social and Information Networks · Computer Science 2017-10-13 Oh-Hyun Kwon , Tarik Crnovrsanin , Kwan-Liu Ma

Size generalization is important for learning wireless policies, which are often with dynamic sizes, say caused by time-varying number of users. Recent works of learning to optimize resource allocation empirically demonstrate that graph…

Signal Processing · Electrical Eng. & Systems 2022-05-02 Wu Jiajun , Sun Chengjian , Yang Chenyang

Data analysts often need to work with multiple series of data---conventionally shown as line charts---at once. Few visual representations allow analysts to view many lines simultaneously without becoming overwhelming or cluttered. In this…

Human-Computer Interaction · Computer Science 2018-09-07 Dominik Moritz , Danyel Fisher

Several graph visualization tools exist. However, they are not able to handle large graphs, and/or they do not allow interaction. We are interested on large graphs, with hundreds of thousands of nodes. Such graphs bring two challenges: the…

Social and Information Networks · Computer Science 2015-06-15 Jose Rodrigues , Hanghang Tong , Agma Traina , Christos Faloutsos , Jure Leskovec

Line charts surface many features in time series data, from trends to periodicity to peaks and valleys. However, not every potentially important feature in the data may correspond to a visual feature which readers can detect or prioritize.…

Human-Computer Interaction · Computer Science 2025-10-15 Rifat Ara Proma , Michael Correll , Ghulam Jilani Quadri , Paul Rosen

Charts and graphs help people analyze data, but can they also be useful to AI systems? To investigate this question, we perform a series of experiments with two commercial vision-language models: GPT 4.1 and Claude 3.5. Across three…

Artificial Intelligence · Computer Science 2025-07-25 Victoria R. Li , Johnathan Sun , Martin Wattenberg

Large tree structures are ubiquitous and real-world relational datasets often have information associated with nodes (e.g., labels or other attributes) and edges (e.g., weights or distances) that need to be communicated to the viewers. Yet,…

Computational Geometry · Computer Science 2023-05-18 Kathryn Gray , Mingwei Li , Reyan Ahmed , Md. Khaledur Rahman , Ariful Azad , Stephen Kobourov , Katy Börner

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

Complex networks have acquired a great popularity in recent years, since the graph representation of many natural, social and technological systems is often very helpful to characterize and model their phenomenology. Additionally, the…

Physics and Society · Physics 2009-02-06 Filippo Radicchi , Alain Barrat , Santo Fortunato , Jose J. Ramasco

Given a large graph, how can we summarize it with fewer nodes and edges while maintaining its key properties, such as spectral property? Although graphs play more and more important roles in many real-world applications, the growth of their…

Social and Information Networks · Computer Science 2021-02-05 Houquan Zhou , Shenghua Liu , Kyuhan Lee , Kijung Shin , Huawei Shen , Xueqi Cheng

Despite huge successes on a wide range of tasks, neural networks are known to sometimes struggle to generalise to unseen data. Many approaches have been proposed over the years to promote the generalisation ability of neural networks,…

Machine Learning · Computer Science 2026-02-02 Christiaan P. Opperman , Anna S. Bosman , Katherine M. Malan

The power of neural networks lies in their ability to generalize to unseen data, yet the underlying reasons for this phenomenon remain elusive. Numerous rigorous attempts have been made to explain generalization, but available bounds are…

Machine Learning · Computer Science 2021-11-17 W. Ronny Huang , Zeyad Emam , Micah Goldblum , Liam Fowl , J. K. Terry , Furong Huang , Tom Goldstein

In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

Data Structures and Algorithms · Computer Science 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

AI systems typically make decisions and find patterns in data based on the computation of aggregate and specifically sum functions, expressed as queries, on data's attributes. This computation can become costly or even inefficient when…

Databases · Computer Science 2014-06-11 Foto N. Afrati , Dimitris Fotakis , Angelos Vasilakopoulos