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Taking projections of high-dimensional data is a common analytical and visualisation technique in statistics for working with high-dimensional problems. Sectioning, or slicing, through high dimensions is less common, but can be useful for…

Computation · Statistics 2021-03-17 Ursula Laa , Dianne Cook , German Valencia

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of the data brings in many complications, such as (possibly…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

Finding the similarities and differences between groups of datasets is a fundamental analysis task. For high-dimensional data, dimensionality reduction (DR) methods are often used to find the characteristics of each group. However, existing…

Machine Learning · Computer Science 2021-10-28 Takanori Fujiwara , Xinhai Wei , Jian Zhao , Kwan-Liu Ma

Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

We present drillboards, a technique for adaptive visualization dashboards consisting of a hierarchy of coordinated charts that the user can drill down to reach a desired level of detail depending on their expertise, interest, and desired…

Human-Computer Interaction · Computer Science 2025-02-18 Sungbok Shin , Inyoup Na , Niklas Elmqvist

Dimension reduction (DR) algorithms have proven to be extremely useful for gaining insight into large-scale high-dimensional datasets, particularly finding clusters in transcriptomic data. The initial phase of these DR methods often…

Machine Learning · Computer Science 2025-10-15 Yingfan Wang , Yiyang Sun , Haiyang Huang , Cynthia Rudin

High-dimensional data visualization has been attracting much attention. To fully test related software and algorithms, researchers require a diverse pool of data with known and desired features. Test data do not always provide this, or only…

Human-Computer Interaction · Computer Science 2013-08-06 Bing Wang , Puripant Ruchikachorn , Klaus Mueller

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

Conventional visualization tools such as phase diagrams and convex hulls are ill-suited to visualize multiple principal element alloys (MPEAs) due to their large compositional space that cannot be easily projected onto two dimensions. Here,…

Materials Science · Physics 2025-07-17 John Cavin , Pravan Omprakash , Adrien Couet , Rohan Mishra

Urban design is a highly visual discipline that requires visualization for informed decision making. However, traditional urban design tools are mostly limited to representations on 2D displays that lack intuitive awareness. The popularity…

Human-Computer Interaction · Computer Science 2021-09-14 Chi Zhang , Wei Zeng , Ligang Liu

Visualizing very large matrices involves many formidable problems. Various popular solutions to these problems involve sampling, clustering, projection, or feature selection to reduce the size and complexity of the original task. An…

Human-Computer Interaction · Computer Science 2022-06-06 Leland Wilkinson , Hengrui Luo

Observing the relationship between two or more variables over space and time is essential in many domains. For instance, looking, for different countries, at the evolution of both the life expectancy at birth and the fertility rate will…

Human-Computer Interaction · Computer Science 2019-10-16 Vanessa Peña-Araya , Emmanuel Pietriga , Anastasia Bezerianos

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

Principal component analysis is a useful dimension reduction and data visualization method. However, in high dimension, low sample size asymptotic contexts, where the sample size is fixed and the dimension goes to infinity,a paradox has…

Applications · Statistics 2012-11-21 Dan Shen , Haipeng Shen , Hongtu Zhu , J. S. Marron

Low-dimensional visualizations, or "projection maps," are widely used in scientific and creative domains to interpret large-scale and complex datasets. These visualizations not only aid in understanding existing knowledge spaces but also…

Artificial Intelligence · Computer Science 2025-05-16 Xingjian Zhang , Ziyang Xiong , Shixuan Liu , Yutong Xie , Tolga Ergen , Dongsub Shim , Hua Xu , Honglak Lee , Qiaozhu Me

'Big' high-dimensional data are commonly analyzed in low-dimensions, after performing a dimensionality-reduction step that inherently distorts the data structure. For the same purpose, clustering methods are also often used. These methods…

Machine Learning · Statistics 2019-02-20 Tom Lorimer , Karlis Kanders , Ruedi Stoop

In order to find previously unknown subgroups in biomedical data and generate testable hypotheses, visually guided exploratory analysis can be of tremendous importance. In this paper we propose a new dissimilarity measure that can be used…

Applications · Statistics 2011-12-01 Charlotte Soneson , Magnus Fontes

Visualizing time series in a dense spatial context such as a geographical map is a challenging task, which requires careful balance between the amount of depicted data and perceptual precision. Horizon graphs are a well-known technique for…

Human-Computer Interaction · Computer Science 2019-06-19 Manuel Dahnert , Alexander Rind , Wolfgang Aigner , Johannes Kehrer

A distinctive representation of image patches in form of features is a key component of many computer vision and robotics tasks, such as image matching, image retrieval, and visual localization. State-of-the-art descriptors, from…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Hao Dong , Xieyuanli Chen , Mihai Dusmanu , Viktor Larsson , Marc Pollefeys , Cyrill Stachniss

This paper introduces constraint-based breakpoints, a technique for designing responsive visualizations for a wide variety of screen sizes and datasets. Breakpoints in responsive visualization define when different visualization designs are…

Human-Computer Interaction · Computer Science 2024-09-04 Sarah Schöttler , Jason Dykes , Jo Wood , Uta Hinrichs , Benjamin Bach
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