Si avvisa che in data 17-06-2014, alle ore 15:00 precise, presso l'Aula Seminari "F. Saleri" VI piano - Dipartimento di Matematica, Politecnico di Milano, nell'ambito delle iniziative MOX, si svolgerà il seguente seminario: Relatore: J. S. Marron Dept. of Statistics and Operations Research University of North Carolina Titolo: OODA of TreeStructured Data Objects Using Persistent Homology Abstract: The field of Object Oriented Data Analysis has made a lot of progress on the statistical analysis of the variation in populations of complex objects. A particularly challenging example of this type is populations of tree-structured objects. Deep challenges arise, whose solutions involve a marriage of ideas from statistics, geometry, and numerical analysis, because the space of trees is strongly non-Euclidean in nature. Here these challenges are addressed using the approach of persistent homologies from topological data analysis. The benefits of this data object representation are illustrated using a real data set, where each data point is the tree of blood arteries in one person's brain. Persistent homologies give much better results than those obtained in previous studies. Tutti gli interessati sono invitati a partecipare. Cordiali saluti, Laura Sangalli -- Laura Maria Sangalli MOX - Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano - Italy tel: +39 02 2399 4554 fax: +39 02 2399 4568 email: laura.sangalli@polimi.it url: http://mox.polimi.it/~sangalli