On a topological data analysis approach for detecting clusters
Conference
Format: IPS Abstract
Keywords: clustered-data, survival analysis, topological_data_analysis
Session: Invited Session 2B - Advances in environmental studies using topological data analysis
Monday 2 December 1:30 p.m. - 3 p.m. (Australia/Adelaide)
Abstract
We consider a novel approach for detecting clusters in data, using ideas from topological data analysis and survival analysis. The proposed approach is based on the fact that topological features in the data have a long survival period if they are features in the population also. This approach may be used for inference on a number of other quantities of interest from complex datasets. Apart from discussing methodological details, we also illustrate how this approach may be used in environmental and ecological data analysis.