Statistical Parameter Selection for Clustering Persistence Diagrams

作者: Max Kontak , Jules Vidal , Julien Tierny

DOI: 10.1109/URGENTHPC49580.2019.00007

关键词:

摘要: In urgent decision making applications, ensemble simulations are an important way to determine different outcome scenarios based on currently available data. this paper, we will analyze the output of by considering socalled persistence diagrams, which reduced representations original data, motivated extraction topological features. Based a recently published progressive algorithm for clustering optimal number clusters, and therefore significantly scenarios, minimization established statistical score functions. Furthermore, present proof-ofconcept prototype implementation selection clusters provide results experimental study, where has been applied real-world data sets.

参考文章(35)
Peter J. Diggle, The analysis of longitudinal data ,(2002)
Genshiro Kitagawa, Sadanori Konishi, Information Criteria and Statistical Modeling ,(2007)
Dan Pelleg, Andrew W. Moore, X-means: Extending K-means with Efficient Estimation of the Number of Clusters international conference on machine learning. pp. 727- 734 ,(2000)
A. Gyulassy, P.T. Bremer, R. Grout, H. Kolla, J. Chen, V. Pascucci, Stability of Dissipation Elements: A Case Study in Combustion eurographics. ,vol. 33, pp. 51- 60 ,(2014) , 10.1111/CGF.12361
Florian Ferstl, Kai Burger, Rudiger Westermann, Streamline Variability Plots for Characterizing the Uncertainty in Vector Field Ensembles IEEE Transactions on Visualization and Computer Graphics. ,vol. 22, pp. 767- 776 ,(2016) , 10.1109/TVCG.2015.2467204
Mahsa Mirzargar, Ross T. Whitaker, Robert M. Kirby, Curve Boxplot: Generalization of Boxplot for Ensembles of Curves IEEE Transactions on Visualization and Computer Graphics. ,vol. 20, pp. 2654- 2663 ,(2014) , 10.1109/TVCG.2014.2346455
Attila Gyulassy, Mark Duchaineau, Vijay Natarajan, Valerio Pascucci, Eduardo Bringa, Andrew Higginbotham, Bernd Hamann, Topologically Clean Distance Fields IEEE Transactions on Visualization and Computer Graphics. ,vol. 13, pp. 1432- 1439 ,(2007) , 10.1109/TVCG.2007.70603
Fang Chen, Harald Obermaier, Hans Hagen, Bernd Hamann, Julien Tierny, Valerio Pascucci, Topology analysis of time-dependent multi-fluid data using the Reeb graph Computer Aided Geometric Design. ,vol. 30, pp. 557- 566 ,(2013) , 10.1016/J.CAGD.2012.03.019
Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer, Fréchet Means for Distributions of Persistence Diagrams Discrete and Computational Geometry. ,vol. 52, pp. 44- 70 ,(2014) , 10.1007/S00454-014-9604-7
Dimitri P. Bertsekas, A new algorithm for the assignment problem Mathematical Programming. ,vol. 21, pp. 152- 171 ,(1981) , 10.1007/BF01584237