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This article discusses a high-dimensional visualization technique called the tour, which can be used to view data in more than three dimensions. We review the theory and history behind the technique, as well as modern software developments…

Graphics · Computer Science 2021-04-21 Stuart Lee , Dianne Cook , Natalia da Silva , Ursula Laa , Earo Wang , Nick Spyrison , H. Sherry Zhang

A powerful data transformation method named guided projections is proposed creating new possibilities to reveal the group structure of high-dimensional data in the presence of noise variables. Utilising projections onto a space spanned by a…

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

Dimensionality reduction (DR) techniques map high-dimensional data into lower-dimensional spaces. Yet, current DR techniques are not designed to explore semantic structure that is not directly available in the form of variables or class…

Machine Learning · Computer Science 2025-06-19 Artur André Oliveira , Mateus Espadoto , Roberto Hirata , Roberto M. Cesar , Alex C. Telea

Analyzing high-dimensional data and finding hidden patterns is a difficult problem and has attracted numerous research efforts. Automated methods can be useful to some extent but bringing the data analyst into the loop via interactive…

Human-Computer Interaction · Computer Science 2017-12-04 Bing Wang , Klaus Mueller

A guided tour helps to visualise high-dimensional data by showing low-dimensional projections along a projection pursuit optimisation path. Projection pursuit is a generalisation of principal component analysis, in the sense that different…

Computation · Statistics 2024-01-11 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

Visualization of extremely large datasets in static or dynamic form is a huge challenge because most traditional methods cannot deal with big data problems. A new visualization method for big data is proposed based on Projection Pursuit,…

Methodology · Statistics 2023-12-12 Yajie Duan , Javier Cabrera , Birol Emir

Streaming data applications are becoming more common due to the ability of different information sources to continuously capture or produce data, such as sensors and social media. Despite recent advances, most visualization approaches, in…

Signal Processing · Electrical Eng. & Systems 2020-03-23 Tácito T. A. T. Neves , Rafael M. Martins , Danilo B. Coimbra , Kostiantyn Kucher , Andreas Kerren , Fernando V. Paulovich

Dimensionality reduction is a common method for analyzing and visualizing high-dimensional data across domains. Dimensionality-reduction algorithms involve complex optimizations and the reduced dimensions computed by these algorithms…

Human-Computer Interaction · Computer Science 2017-08-16 Marco Cavallo , Çağatay Demiralp

Non-linear dimensionality reduction (NLDR) methods such as t-distributed stochastic neighbour embedding (t-SNE) are ubiquitous in the natural sciences, however, the appropriate use of these methods is difficult because of their complex…

Other Statistics · Statistics 2020-12-14 Stuart Lee , Ursula Laa , Dianne Cook

Data visualizations can reveal trends and patterns that are not otherwise obvious from the raw data or summary statistics. While visualizing low-dimensional data is relatively straightforward (for example, plotting the change in a variable…

Other Statistics · Statistics 2017-01-31 Andrew C. Heusser , Kirsten Ziman , Lucy L. W. Owen , Jeremy R. Manning

A recent paper on visualizing the sensitivity of hadronic experiments to nucleon structure [1] introduces the tool PDFSense which defines measures to allow the user to judge the sensitivity of PDF fits to a given experiment. The sensitivity…

High Energy Physics - Phenomenology · Physics 2018-10-17 Dianne Cook , Ursula Laa , German Valencia

In the dynamic tree problem the goal is the maintenance of an arbitrary n-vertex forest, where the trees are subject to joining and splitting by, respectively, adding and removing edges. Depending on the application, information can be…

Data Structures and Algorithms · Computer Science 2015-09-23 Gabriele Farina , Luigi Laura

Analysis of high dimensional data is a common task. Often, small multiples are used to visualize 1 or 2 dimensions at a time, such as in a scatterplot matrix. Associating data points between different views can be difficult though, as the…

Graphics · Computer Science 2014-08-05 Chris W. Muelder , Nick Leaf , Carmen Sigovan , Kwan-Liu Ma

Understanding and reconstructing the complex geometry and motion of dynamic scenes from video remains a formidable challenge in computer vision. This paper introduces D4RT, a simple yet powerful feedforward model designed to efficiently…

Dimensionality reduction is a common method for analyzing and visualizing high-dimensional data. However, reasoning dynamically about the results of a dimensionality reduction is difficult. Dimensionality-reduction algorithms use complex…

Human-Computer Interaction · Computer Science 2018-11-30 Marco Cavallo , Çağatay Demiralp

Scientists, journalists, and photographers have used advanced camera technology to capture extremely high-resolution timelapse and developed information visualization tools for data exploration and analysis. However, it takes a great deal…

Human-Computer Interaction · Computer Science 2018-04-11 Yen-Chia Hsu , Paul Dille , Randy Sargent , Christopher Bartley , Illah Nourbakhsh

We introduce HouseTour, a method for spatially-aware 3D camera trajectory and natural language summary generation from a collection of images depicting an existing 3D space. Unlike existing vision-language models (VLMs), which struggle with…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Ata Çelen , Marc Pollefeys , Daniel Barath , Iro Armeni

Contour maps are an essential tool for exploring spatial features of the terrain, such as distance, directions, and surface gradient among the contour areas. User interactions in contour-based visualizations create approaches to visual…

Human-Computer Interaction · Computer Science 2024-10-15 Abdullah-Al-Raihan Nayeem , Dongyun Han , William J. Tolone , Isaac Cho

We introduce differentiable indirection -- a novel learned primitive that employs differentiable multi-scale lookup tables as an effective substitute for traditional compute and data operations across the graphics pipeline. We demonstrate…

Graphics · Computer Science 2023-11-21 Sayantan Datta , Carl Marshall , Derek Nowrouzezahrai , Zhao Dong , Zhengqin Li
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