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Related papers: Visual analysis of bivariate dependence between co…

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Cluster interpretation after dimensionality reduction (DR) is a ubiquitous part of exploring multidimensional datasets. DR results are frequently represented by scatterplots, where spatial proximity encodes similarity among data samples. In…

Human-Computer Interaction · Computer Science 2021-08-18 Wilson E. Marcílio-Jr , Danilo M. Eler , Rogério E. Garcia

A fundamental concept in multivariate statistics, sample correlation matrix, is often used to infer the correlation/dependence structure among random variables, when the population mean and covariance are unknown. A natural block extension…

Statistics Theory · Mathematics 2022-09-09 Zhigang Bao , Jiang Hu , Xiaocong Xu , Xiaozhuo Zhang

Background and Objective: Histograms and Pearson's coefficient of variation are among the most popular summary statistics. Researchers use histograms to judge the shape of quantitative data distribution by visual inspection. The coefficient…

Methodology · Statistics 2022-04-14 Paulo S. P. Silveira , Jose O. Siqueira

A framework for quantifying dependence between random vectors is introduced. With the notion of a collapsing function, random vectors are summarized by single random variables, called collapsed random variables in the framework. Using this…

Methodology · Statistics 2018-01-12 Marius Hofert , Wayne Oldford , Avinash Prasad , Mu Zhu

Correlation matrix visualization is essential for understanding the relationships between variables in a dataset, but missing data can pose a significant challenge in estimating correlation coefficients. In this paper, we compare the…

Machine Learning · Computer Science 2023-09-06 Nhat-Hao Pham , Khanh-Linh Vo , Mai Anh Vu , Thu Nguyen , Michael A. Riegler , Pål Halvorsen , Binh T. Nguyen

Scatterplots are used for a variety of visual analytics tasks, including cluster identification, and the visual encodings used on a scatterplot play a deciding role on the level of visual separation of clusters. For visualization designers,…

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

Charts are an excellent way to convey patterns and trends in data, but they do not facilitate further modeling of the data or close inspection of individual data points. We present a fully automated system for extracting the numerical…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Mathieu Cliche , David Rosenberg , Dhruv Madeka , Connie Yee

Rank correlations have found many innovative applications in the last decade. In particular, suitable rank correlations have been used for consistent tests of independence between pairs of random variables. Using ranks is especially…

Statistics Theory · Mathematics 2021-05-04 Hongjian Shi , Marc Hallin , Mathias Drton , Fang Han

Multiplex graphs, characterised by their layered structure, exhibit informative interdependencies within layers that are crucial for understanding complex network dynamics. Quantifying the interaction and shared information among these…

Statistics Theory · Mathematics 2024-05-24 Anda Skeja , Sofia C. Olhede

The overdraw problem of scatterplots seriously interferes with the visual tasks. Existing methods, such as data sampling, node dispersion, subspace mapping, and visual abstraction, cannot guarantee the correspondence and consistency between…

Graphics · Computer Science 2022-08-23 Zeyu Li , Ruizhi Shi , Yan Liu , Shizhuo Long , Ziheng Guo , Shichao Jia , Jiawan Zhang

The value proposition of a dataset often resides in the implicit interconnections or explicit relationships (patterns) among individual entities, and is often modeled as a graph. Effective visualization of such graphs can lead to key…

Databases · Computer Science 2017-02-14 Yang Zhang , Yusu Wang , Srinivasan Parthasarathy

Visualizations are common methods to convey information but also increasingly used to spread misinformation. It is therefore important to understand the factors people use to interpret visualizations. In this paper, we focus on factors that…

Human-Computer Interaction · Computer Science 2023-10-25 Alexandre Filipowicz , Scott Carter , Nayeli Bravo , Rumen Iliev , Shabnam Hakimi , David Ayman Shamma , Kent Lyons , Candice Hogan , Charlene Wu

Detecting dependence between variables is a crucial issue in statistical science. In this paper, we propose a novel metric called label projection correlation to measure the dependence between numerical and categorical variables. The…

Methodology · Statistics 2025-06-24 Yixiao Liu , Pengjian Shang

Scatterplots provide a visual representation of bivariate data (or 2D embeddings of multivariate data) that allows for effective analyses of data dependencies, clusters, trends, and outliers. Unfortunately, classical scatterplots suffer…

Human-Computer Interaction · Computer Science 2026-04-16 Hennes Rave , Vladimir Molchanov , Lars Linsen

The efficiency of modern computer graphics allows us to explore collections of space curves simultaneously with "drag-to-rotate" interfaces. This inspires us to replace "scatterplots of points" with "scatterplots of curves" to…

Human-Computer Interaction · Computer Science 2022-03-11 Nate Strawn

In 1997, Flowers, Buhman, and Turnage published a paper titled ``Cross-Modal Equivalence of Visual and Auditory Scatterplots for Exploring Bivariate Data Samples.'' This paper examined our capacity to assess the relationship between two…

Human-Computer Interaction · Computer Science 2024-07-18 Kajetan Enge , Liam Fabry , Robert Höldrich

Scatterplots are one of the simplest and most commonly-used visualizations for understanding quantitative, multidimensional data. However, since scatterplots only depict two attributes at a time, analysts often need to manually generate and…

Human-Computer Interaction · Computer Science 2019-07-30 Doris Jung-Lin Lee , Jaewoo Kim , Renxuan Wang , Aditya Parameswaran

An important step for any causal inference study design is understanding the distribution of the treated and control subjects in terms of measured baseline covariates. However, not all baseline variation is equally important. In the…

Methodology · Statistics 2021-07-02 Rachael C. Aikens , Michael Baiocchi

A set of independence statements may define the independence structure of interest in a family of joint probability distributions. This structure is often captured by a graph that consists of nodes representing the random variables and of…

Methodology · Statistics 2011-07-15 Nanny Wermuth

The process of generating data such as images is controlled by independent and unknown factors of variation. The retrieval of these variables has been studied extensively in the disentanglement, causal representation learning, and…

Machine Learning · Computer Science 2023-09-26 Gaël Gendron , Michael Witbrock , Gillian Dobbie