Bennett J., Vivodtzev F., Pascucci V. (eds.) Topological and Statistical Methods for Complex Data: Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces

Berlin: Springer, 2015. - 297 p.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.A Distributed-Memory Algorithm for Connected Components Labeling of Simulation Data
In-Situ Visualization in Computational Fluid Dynamics Using Open-Source tools: Integration of Catalyst into Code_Saturne
Sublinear Algorithms for Extreme-Scale Data AnalysisOptimal General Simplification of Scalar Fields on Surfaces
Piecewise Polynomial Monotonic Interpolation of 2D Gridded Data
Shape Analysis and Description Using Real Functions3D Symmetric Tensor Fields: What We Know and Where To Go Next
A Comparison of Pareto Sets and Jacobi Sets
Deformations Preserving Gauss CurvatureLyapunov Time for 2D Lagrangian Visualization
Geometric Algebra for Vector Field Analysis and Visualization: Mathematical Settings, Overview and Applications
Computing Accurate Morse-Smale Complexes from Gradient Vector FieldsExercises in High-Dimensional Sampling: Maximal Poisson-Disk Sampling and k -d Darts
Realization of Regular Maps of Large GenusPolynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving
Slycat Ensemble Analysis of Electrical Circuit Simulations