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The visual analytics community has proposed several user modeling algorithms to capture and analyze users' interaction behavior in order to assist users in data exploration and insight generation. For example, some can detect exploration…

Human-Computer Interaction · Computer Science 2022-08-11 Sunwoo Ha , Shayan Monadjemi , Roman Garnett , Alvitta Ottley

In the vast landscape of visualization research, Dimensionality Reduction (DR) and graph analysis are two popular subfields, often essential to most visual data analytics setups. DR aims to create representations to support neighborhood and…

Machine Learning · Computer Science 2024-12-10 Fernando Paulovich , Alessio Arleo , Stef van den Elzen

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

Dimensionality reduction techniques are powerful tools for data preprocessing and visualization which typically come with few guarantees concerning the topological correctness of an embedding. The interleaving distance between the…

Machine Learning · Computer Science 2022-02-01 Bradley J. Nelson , Yuan Luo

Movement primitives are an important policy class for real-world robotics. However, the high dimensionality of their parametrization makes the policy optimization expensive both in terms of samples and computation. Enabling an efficient…

Robotics · Computer Science 2020-03-06 Samuele Tosatto , Jonas Stadtmueller , Jan Peters

The rapidly evolving field of engineering design of functional surfaces necessitates sophisticated tools to manage the inherent complexity of high-dimensional design spaces. This survey paper offers a scoping review, i.e., a literature…

Optimization and Control · Mathematics 2025-04-09 Andrea Serani , Matteo Diez

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

Data visualisation helps understanding data represented by multiple variables, also called features, stored in a large matrix where individuals are stored in lines and variable values in columns. These data structures are frequently called…

Human-Computer Interaction · Computer Science 2022-07-25 Haseeb Younis , Paul Trust , Rosane Minghim

Timelines are common visualizations to represent and manipulate temporal data, from historical events storytelling to animation authoring. However, timeline visualizations rarely consider spatio-temporal 3D data (e.g. mesh or volumetric…

Human-Computer Interaction · Computer Science 2022-06-22 Gwendal Fouché , Ferran Argelaguet , Emmanuel Faure , Charles Kervrann

We explore two primary classes of approaches to dimensionality reduction (DR): Independent Dimensionality Reduction (IDR) and Simultaneous Dimensionality Reduction (SDR). In IDR methods, of which Principal Components Analysis is a…

Machine Learning · Statistics 2024-10-28 Eslam Abdelaleem , Ahmed Roman , K. Michael Martini , Ilya Nemenman

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

Machine Learning · Computer Science 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

Experimental life sciences like biology or chemistry have seen in the recent decades an explosion of the data available from experiments. Laboratory instruments become more and more complex and report hundreds or thousands measurements for…

Machine Learning · Statistics 2014-03-13 C. O. S. Sorzano , J. Vargas , A. Pascual Montano

The goal of 3D visualization is to provide the user with an intuitive interface which enables him to explore the 3D data in an interactive manner. The aim of the exploration is to identify and analyze anomalies or to give proof of the…

Graphics · Computer Science 2018-12-12 Pratik Kalshetti , Parag Rahangdale , Dinesh Jangra , Manas Bundele , Chiranjoy Chattopadhyay

Affective computing has become a very important research area in human-machine interaction. However, affects are subjective, subtle, and uncertain. So, it is very difficult to obtain a large number of labeled training samples, compared with…

Machine Learning · Computer Science 2020-04-02 Chenfeng Guo , Dongrui Wu

The ability to collect and analyze large amounts of data is a growing problem within the scientific community. The growing gap between data and users calls for innovative tools that address the challenges faced by big data volume, velocity…

Databases · Computer Science 2016-08-01 Vijay Gadepally , Jeremy Kepner

As the rate of data collection continues to grow rapidly, developing visualization tools that scale to immense data sets is a serious and ever-increasing challenge. Existing approaches generally seek to decouple storage and visualization…

Databases · Computer Science 2021-06-24 Sam Kumar , Michael P Andersen , David E. Culler

In this paper, we evaluate dimensionality reduction methods in terms of difficulty in estimating visual information on original images from dimensionally reduced ones. Recently, dimensionality reduction has been receiving attention as the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Masaki Kitayama , Hitoshi Kiya

Dimensionality reduction methods, also known as projections, are frequently used for exploring multidimensional data in machine learning, data science, and information visualization. Among these, t-SNE and its variants have become very…

Machine Learning · Computer Science 2019-02-22 Mateus Espadoto , Nina S. T. Hirata , Alexandru C. Telea

Dimensionality Reduction (DR) methods are widely used to visualize high-dimensional data. One key task in DR-based analysis is discovering neighborhoods, which relies on analyzing the fine-grained local structure of a projection. However,…

Machine Learning · Computer Science 2026-05-25 Diede P. M. van der Hoorn , Alessio Arleo , Fernando V. Paulovich
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