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PRODID:-//Memento EPFL//
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SUMMARY:A theoretical framework for the analysis of Mapper
DTSTART:20170425T141500
DTEND:20170425T153000
DTSTAMP:20260407T051133Z
UID:218394344471353da4e957dcdaf0dde626267776b3fc2796650b6c80
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mathieu Carrière (INRIA/Saclay)\nMapper is probably the most 
 widely used TDA (Topological Data Analysis) tool in the applied sciences a
 nd industry. Its main application is in exploratory analysis\, where it pr
 ovides novel data representations that allow for a higher-level understand
 ing of the geometric structures underlying the data. The output of Mapper 
 takes the form of a graph\, whose vertices represent homogeneous subpopula
 tions of the data\, and whose edges represent certain types of proximity r
 elations. Nevertheless\, the inherent instability of the output and the di
 fficult parameter tuning make the method rather difficult to use in practi
 ce. This talk will focus on the study of the structural properties of the 
 graphs produced by Mapper\, together with their partial stability properti
 es\, with a view towards the design of new tools to help users set up the 
 parameters and interpret the outputs.
LOCATION:CO 121
STATUS:CONFIRMED
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