skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Visual exploration of high-dimensional data through subspace analysis and dynamic projections

Journal Article · · Computer Graphics Forum
DOI:https://doi.org/10.1111/cgf.12639· OSTI ID:1326066
 [1];  [1];  [2];  [2];  [1]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here, we introduce a novel interactive framework for visualizing and exploring high-dimensional datasets based on subspace analysis and dynamic projections. We assume the high-dimensional dataset can be represented by a mixture of low-dimensional linear subspaces with mixed dimensions, and provide a method to reliably estimate the intrinsic dimension and linear basis of each subspace extracted from the subspace clustering. Subsequently, we use these bases to define unique 2D linear projections as viewpoints from which to visualize the data. To understand the relationships among the different projections and to discover hidden patterns, we connect these projections through dynamic projections that create smooth animated transitions between pairs of projections. We introduce the view transition graph, which provides flexible navigation among these projections to facilitate an intuitive exploration. Finally, we provide detailed comparisons with related systems, and use real-world examples to demonstrate the novelty and usability of our proposed framework.

Research Organization:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0002375
OSTI ID:
1326066
Report Number(s):
DOE-UTAH-PASCUCCI-0014
Journal Information:
Computer Graphics Forum, Vol. 34, Issue 3; ISSN 0167-7055
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

References (20)

The Grand Tour: A Tool for Viewing Multidimensional Data journal January 1985
Computational Methods for High-Dimensional Rotations in Data Visualization book January 2005
Eigenfaces vs. Fisherfaces: recognition using class specific linear projection
  • Belhumeur, P. N.; Hespanha, J. P.; Kriegman, D. J.
  • IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 19, Issue 7 https://doi.org/10.1109/34.598228
journal July 1997
Entropy-based subspace clustering for mining numerical data
  • Cheng, Chun-Hung; Fu, Ada Waichee; Zhang, Yi
  • Proceedings of the fifth ACM SIGKDD international conference on Knowledge discovery and data mining - KDD '99 https://doi.org/10.1145/312129.312199
conference January 1999
Sparse subspace clustering
  • Elhamifar, Ehsan; Vidal, Rene
  • 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops (CVPR Workshops), 2009 IEEE Conference on Computer Vision and Pattern Recognition https://doi.org/10.1109/CVPR.2009.5206547
conference June 2009
A New Statistical Approach to Geographic Variation Analysis journal September 1969
Algebraic Geometry book January 1992
Graphs as navigational infrastructure for high dimensional data spaces journal February 2011
Direct numerical simulation of ignition front propagation in a constant volume with temperature inhomogeneities journal April 2006
Introduction to manifold learning: Introduction to manifold learning journal July 2012
Robust Recovery of Subspace Structures by Low-Rank Representation journal January 2013
Distortion-Guided Structure-Driven Interactive Exploration of High-Dimensional Data: Interactive Data Exploration journal June 2014
Visualizing the quality of dimensionality reduction journal July 2013
A Framework for Exploring Multidimensional Data with 3D Projections journal June 2011
Subspace clustering for high dimensional data: a review journal June 2004
GGobi: evolving from XGobi into an extensible framework for interactive data visualization journal August 2003
Subspace search and visualization to make sense of alternative clusterings in high-dimensional data conference October 2012
A Global Geometric Framework for Nonlinear Dimensionality Reduction journal December 2000
ClustNails: Visual analysis of subspace clusters journal August 2012
Subspace Clustering journal March 2011

Cited By (5)

Navigating within thiamine diphosphate‐dependent decarboxylases: Sequences, structures, functional positions, and binding sites journal April 2019
Recent research advances on interactive machine learning journal November 2018
A User‐based Visual Analytics Workflow for Exploratory Model Analysis journal June 2019
A User-based Visual Analytics Workflow for Exploratory Model Analysis text January 2018
Recent Research Advances on Interactive Machine Learning preprint January 2018

Similar Records

Visual Exploration of High-Dimensional Data through Subspace Analysis and Dynamic Projections
Journal Article · Mon Jun 01 00:00:00 EDT 2015 · Computer Graphics Forum · OSTI ID:1326066

Multivariate volume visualization through dynamic projections
Conference · Sat Nov 01 00:00:00 EDT 2014 · OSTI ID:1326066

Automated detection of symmetry-protected subspaces in quantum simulations
Journal Article · Fri Aug 04 00:00:00 EDT 2023 · Physical Review Research · OSTI ID:1326066