Visualizing High-Dimensional Data: Advances in the Past Decade

Massive simulations and arrays of sensing devices, in combination with increasing computing resources, have generated large, complex, high-dimensional datasets used to study phenomena across numerous fields of study. Visualization plays an important role in exploring such datasets. We provide a comprehensive survey of advances in high-dimensional data visualization that focuses on the past decade. We aim at providing guidance for data practitioners to navigate through a modular view of the recent advances, inspiring the creation of new visualizations along the enriched visualization pipeline, and identifying future opportunities for visualization research.

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[63]  Gunther H. Weber,et al.  Visualizing nD Point Clouds as Topological Landscape Profiles to Guide Local Data Analysis , 2013, IEEE Transactions on Visualization and Computer Graphics.

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[65]  Kwan-Liu Ma,et al.  The Generalized Sensitivity Scatterplot , 2013, IEEE Transactions on Visualization and Computer Graphics.

[66]  Klaus Mueller,et al.  TripAdvisor^{N-D}: A Tourism-Inspired High-Dimensional Space Exploration Framework with Overview and Detail , 2013, IEEE Transactions on Visualization and Computer Graphics.

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[68]  Daniel Weiskopf,et al.  State of the Art of Parallel Coordinates , 2013, Eurographics.

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[70]  Hubert Mara,et al.  Multivariate Data Analysis Using Persistence-Based Filtering and Topological Signatures , 2012, IEEE Transactions on Visualization and Computer Graphics.

[71]  Aaron Knoll,et al.  Visualizing Nuclear Scission through a Multifield Extension of Topological Analysis , 2012, IEEE Transactions on Visualization and Computer Graphics.

[72]  Arvid Lundervold,et al.  Representative Factor Generation for the Interactive Visual Analysis of High-Dimensional Data , 2012, IEEE Transactions on Visualization and Computer Graphics.

[73]  Vijay Natarajan,et al.  A hybrid parallel algorithm for computing and tracking level set topology , 2012, 2012 19th International Conference on High Performance Computing.

[74]  Daniel Engel,et al.  Visual Steering and Verification of Mass Spectrometry Data Factorization in Air Quality Research , 2012, IEEE Transactions on Visualization and Computer Graphics.

[75]  Klaus Mueller,et al.  A Data-Driven Approach to Hue-Preserving Color-Blending , 2012, IEEE Transactions on Visualization and Computer Graphics.

[76]  Bernd Hamann,et al.  Geometry-preserving topological landscapes , 2012, WASA '12.

[77]  Bernd Hamann,et al.  Topology exploration with hierarchical landscapes , 2012, WASA '12.

[78]  Daniel Weiskopf,et al.  3D Scatterplot Navigation , 2012, IEEE Transactions on Visualization and Computer Graphics.

[79]  Leland Wilkinson,et al.  Visual pattern discovery using random projections , 2012, 2012 IEEE Conference on Visual Analytics Science and Technology (VAST).

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[83]  Diego Mandelli,et al.  Exploration of High-Dimensional Scalar Function for Nuclear Reactor Safety Analysis and Visualization , 2012 .

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[91]  Jarke J. van Wijk,et al.  BaobabView: Interactive construction and analysis of decision trees , 2011, 2011 IEEE Conference on Visual Analytics Science and Technology (VAST).

[92]  Carolina Ruiz,et al.  Pointwise local pattern exploration for sensitivity analysis , 2011, 2011 IEEE Conference on Visual Analytics Science and Technology (VAST).

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[94]  Luis Gustavo Nonato,et al.  Local Affine Multidimensional Projection , 2011, IEEE Transactions on Visualization and Computer Graphics.

[95]  Peter Lindstrom,et al.  Towards Robust Topology of Sparsely Sampled Data , 2011, IEEE Transactions on Visualization and Computer Graphics.

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[97]  Peter Filzmoser,et al.  Brushing Dimensions - A Dual Visual Analysis Model for High-Dimensional Data , 2011, IEEE Transactions on Visualization and Computer Graphics.

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[101]  Peter Lindstrom,et al.  Topological Spines: A Structure-preserving Visual Representation of Scalar Fields , 2011, IEEE Transactions on Visualization and Computer Graphics.

[102]  Dirk J. Lehmann,et al.  Features in Continuous Parallel Coordinates , 2011, IEEE Transactions on Visualization and Computer Graphics.

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[106]  Gerik Scheuermann,et al.  Visualization of High-Dimensional Point Clouds Using Their Density Distribution's Topology , 2011, IEEE Transactions on Visualization and Computer Graphics.

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[113]  Rosane Minghim,et al.  A Framework for Exploring Multidimensional Data with 3D Projections , 2011, Comput. Graph. Forum.

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[132]  Robert Kosara,et al.  Pargnostics: Screen-Space Metrics for Parallel Coordinates , 2010, IEEE Transactions on Visualization and Computer Graphics.

[133]  Valerio Pascucci,et al.  Visual Exploration of High Dimensional Scalar Functions , 2010, IEEE Transactions on Visualization and Computer Graphics.

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[152]  Hong Zhou,et al.  Scattering Points in Parallel Coordinates , 2009, IEEE Transactions on Visualization and Computer Graphics.

[153]  Daniel Weiskopf,et al.  Continuous Parallel Coordinates , 2009, IEEE Transactions on Visualization and Computer Graphics.

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[158]  Daniel Weiskopf,et al.  Illuminated 3D Scatterplots , 2009, Comput. Graph. Forum.

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[160]  William Ribarsky,et al.  iPCA: An Interactive System for PCA‐based Visual Analytics , 2009, Comput. Graph. Forum.

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[172]  Daniel Weiskopf,et al.  Continuous Scatterplots , 2008, IEEE Transactions on Visualization and Computer Graphics.

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[182]  E. Gehan,et al.  The properties of high-dimensional data spaces: implications for exploring gene and protein expression data , 2008, Nature Reviews Cancer.

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[185]  Alan J. Dix,et al.  A Taxonomy of Clutter Reduction for Information Visualisation , 2007, IEEE Transactions on Visualization and Computer Graphics.

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[187]  Bernd Hamann,et al.  Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions , 2007, IEEE Transactions on Visualization and Computer Graphics.

[188]  Daniel A. Keim,et al.  Intelligent Visual Analytics Queries , 2007, 2007 IEEE Symposium on Visual Analytics Science and Technology.

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[193]  Victoria Interrante,et al.  Weaving Versus Blending: a quantitative assessment of the information carrying capacities of two alternative methods for conveying multivariate data with color. , 2006, IEEE Transactions on Visualization and Computer Graphics.

[194]  David Cohen-Steiner,et al.  Stability of Persistence Diagrams , 2005, Discret. Comput. Geom..

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[196]  Robert S. Laramee,et al.  The State of the Art , 2015 .

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[198]  Facundo Mémoli,et al.  Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition , 2007, PBG@Eurographics.

[199]  Daniel A. Keim,et al.  Pixnostics: Towards Measuring the Value of Visualization , 2006, 2006 IEEE Symposium On Visual Analytics Science And Technology.

[200]  Matthew O. Ward,et al.  Exploratory Visualization of Multivariate Data with Variable Quality , 2006, 2006 IEEE Symposium On Visual Analytics Science And Technology.

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