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  • Conference proceedings
  • © 2015

Topological and Statistical Methods for Complex Data

Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces

  • Latest peer-reviewed results in a growing research area
  • Many applications in science and engineering
  • Important contributions to the fields of mathematics and computer science?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-xv
  2. Large-Scale Data Analysis: In-Situ and Distributed Analysis

    1. Front Matter

      Pages 1-1
    2. A Distributed-Memory Algorithm for Connected Components Labeling of Simulation Data

      • Cyrus Harrison, Jordan Weiler, Ryan Bleile, Kelly Gaither, Hank Childs
      Pages 3-19
    3. In-Situ Visualization in Computational Fluid Dynamics Using Open-Source tools: Integration of Catalyst into Code_Saturne

      • Alejandro Ribés, Benjamin Lorendeau, Julien Jomier, Yvan Fournier
      Pages 21-37
    4. Sublinear Algorithms for Extreme-Scale Data Analysis

      • C. Seshadhri, Ali Pinar, David Thompson, Janine C. Bennett
      Pages 39-54
  3. Large-Scale Data Analysis: Efficient Representation of Large Functions

    1. Front Matter

      Pages 55-55
    2. Optimal General Simplification of Scalar Fields on Surfaces

      • Julien Tierny, David Günther, Valerio Pascucci
      Pages 57-71
    3. Piecewise Polynomial Monotonic Interpolation of 2D Gridded Data

      • Léo Allemand-Giorgis, Georges-Pierre Bonneau, Stefanie Hahmann, Fabien Vivodtzev
      Pages 73-91
    4. Shape Analysis and Description Using Real Functions

      • Silvia Biasotti, Andrea Cerri, Michela Spagnuolo, Bianca Falcidieno
      Pages 93-107
  4. Multi-Variate Data Analysis: Structural Techniques

    1. Front Matter

      Pages 109-109
    2. A Comparison of Pareto Sets and Jacobi Sets

      • Lars Huettenberger, Christoph Garth
      Pages 125-141
    3. Deformations Preserving Gauss Curvature

      • Anne Berres, Hans Hagen, Stefanie Hahmann
      Pages 143-163
  5. Multi-Variate Data Analysis: Classification and Visualization of Vector Fields

    1. Front Matter

      Pages 165-165
    2. Computing Accurate Morse-Smale Complexes from Gradient Vector Fields

      • Attila Gyulassy, Harsh Bhatia, Peer-Timo Bremer, Valerio Pascucci
      Pages 205-218
  6. High-Dimensional Data Analysis: Exploration of High-Dimensional Models

    1. Front Matter

      Pages 219-219
    2. Exercises in High-Dimensional Sampling: Maximal Poisson-Disk Sampling and k-d Darts

      • Mohamed S. Ebeida, Scott A. Mitchell, Anjul Patney, Andrew A. Davidson, Stanley Tzeng, Muhammad A. Awad et al.
      Pages 221-238
    3. Realization of Regular Maps of Large Genus

      • Faniry Razafindrazaka, Konrad Polthier
      Pages 239-252

About this book

This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data.

The book presents new methods that leverage the mutual strengths of both topological and statistical techniques to support the management, analysis, and visualization of complex data. It covers both theory and application and provides readers with an overview of important key concepts and the latest research trends.

Coverage in the book includes multi-variate and/or high-dimensional analysis techniques, feature-based statistical methods, combinatorial algorithms, scalable statistics algorithms, scalar and vector field topology, and multi-scale representations. In addition, the book details algorithms that are broadly applicable and can be used by application scientists to glean insight from a wide range of complex data sets.

Editors and Affiliations

  • Sandia National Laboratories, MS 9152, Livermore, USA

    Janine Bennett

  • CEA CESTA, CS 60001, Le Barp CEDEX, France

    Fabien Vivodtzev

  • School of Computing and SCI Institute, University of Utah, Salt Lake City, USA

    Valerio Pascucci

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access