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Linear dimensionality reduction methods are commonly used to extract low-dimensional structure from high-dimensional data. However, popular methods disregard temporal structure, rendering them prone to extracting noise rather than…

Information Theory · Computer Science 2021-06-10 David G. Clark , Jesse A. Livezey , Kristofer E. Bouchard

We present a novel methodology based on geometric approach to simulate magnification lens effects. Our aim is to promote new applications of powerful geometric modeling techniques in visual computing. Conventional image…

Graphics · Computer Science 2013-08-05 Bo Li , Xin Zhao

There is a growing interest in designing tools to support interactivity specification and authoring in data visualization. To develop expressive and flexible tools, we need theories and models that describe the task space of interaction…

Human-Computer Interaction · Computer Science 2025-12-02 Hyemi Song , Sai Gopinath , Zhicheng Liu

We introduce a new framework for dimension reduction in the context of high-dimensional regression. Our proposal is to aggregate an ensemble of random projections, which have been carefully chosen based on the empirical regression…

Methodology · Statistics 2024-10-08 Wenxing Zhou , Timothy I. Cannings

To effectively search for the optimal motion template in dynamic multidimensional space, this paper proposes a novel optimization algorithm, Dynamic Dimension Wrapping (DDW).The algorithm combines Dynamic Time Warping (DTW) and Euclidean…

Machine Learning · Computer Science 2024-11-18 Dongnan Jin , Yali Liu , Qiuzhi Song , Xunju Ma , Yue Liu , Dehao Wu

Dimension reduction is often needed in the area of data mining. The goal of these methods is to map the given high-dimensional data into a low-dimensional space preserving certain properties of the initial data. There are two kinds of…

Numerical Analysis · Mathematics 2015-03-23 Yanlai Chen

Heterogeneous data pose serious challenges to data analysis tasks, including exploration and visualization. Current techniques often utilize dimensionality reductions, aggregation, or conversion to numerical values to analyze heterogeneous…

Graphics · Computer Science 2017-10-10 Mahsa Mirzargar , Ross T. Whitaker , Robert M. Kirby

In this work we propose the combination of large interactive displays with personal head-mounted Augmented Reality (AR) for information visualization to facilitate data exploration and analysis. Even though large displays provide more…

Human-Computer Interaction · Computer Science 2020-10-20 Patrick Reipschläger , Tamara Flemisch , Raimund Dachselt

We present function preserving projections (FPP), a scalable linear projection technique for discovering interpretable relationships in high-dimensional data. Conventional dimension reduction methods aim to maximally preserve the global…

Machine Learning · Computer Science 2019-09-27 Shusen Liu , Rushil Anirudh , Jayaraman J. Thiagarajan , Peer-Timo Bremer

Molecular simulations produce very high-dimensional data-sets with millions of data points. As analysis methods are often unable to cope with so many dimensions, it is common to use dimensionality reduction and clustering methods to reach a…

Machine Learning · Statistics 2017-11-03 Stefan Doerr , Igor Ariz-Extreme , Matthew J. Harvey , Gianni De Fabritiis

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

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

Methodology · Statistics 2015-08-10 Luca Scrucca

We study adaptive data-dependent dimensionality reduction in the context of supervised learning in general metric spaces. Our main statistical contribution is a generalization bound for Lipschitz functions in metric spaces that are…

Machine Learning · Computer Science 2015-03-26 Lee-Ad Gottlieb , Aryeh Kontorovich , Robert Krauthgamer

Visualisation is an effective way to facilitate the analysis and understanding of multivariate data. In the context of multi-objective optimisation, comparing to quantitative performance metrics, visualisation is, in principle, able to…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Huiru Gao , Haifeng Nie , Ke Li

In this study, we propose a new statical approach for high-dimensionality reduction of heterogenous data that limits the curse of dimensionality and deals with missing values. To handle these latter, we propose to use the Random Forest…

Machine Learning · Computer Science 2017-07-04 Rania Mkhinini Gahar , Olfa Arfaoui , Minyar Sassi Hidri , Nejib Ben-Hadj Alouane

Modern display environments offer great potential for involving multiple users in presentations, discussions, and data analysis sessions. By showing multiple views on multiple displays, information exchange can be improved, several…

Graphics · Computer Science 2019-12-19 Christian Eichner , Heidrun Schumann , Christian Tominski

Although exploratory landscape analysis (ELA) has shown its effectiveness in various applications, most previous studies focused only on low- and moderate-dimensional problems. Thus, little is known about the scalability of the ELA approach…

Neural and Evolutionary Computing · Computer Science 2021-04-22 Ryoji Tanabe

Visual place recognition is challenging because there are so many factors that can cause the appearance of a place to change, from day-night cycles to seasonal change to atmospheric conditions. In recent years a large range of approaches…

Computer Vision and Pattern Recognition · Computer Science 2020-07-31 Sourav Garg , Ben Harwood , Gaurangi Anand , Michael Milford

A novel general framework is proposed in this paper for dimension reduction in regression to fill the gap between linear and fully nonlinear dimension reduction. The main idea is to transform first each of the raw predictors monotonically,…

Methodology · Statistics 2014-01-03 Tao Wang , Xu Guo , Peirong Xu , Lixing Zhu

Rapidly growing virtual reality (VR) technologies and techniques have gained importance over the past few years, and academics and practitioners have been searching for efficient visualizations in VR. To date, emphasis has been on the…

Human-Computer Interaction · Computer Science 2022-03-16 Elif Hilal Korkut , Elif Surer
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