Statistical Topology and the Random Interstellar Medium

Datum dogodka: 
četrtek, 8. november 2018 - 11:00
Lokacija predavanja: 
IBMI
Predavatelj: 
prof. dr. Robin Henderson, Newcastle University, Velika Britanija

Topological data analysis is used for the analysis of data Z(s) indexed by a location s in some space, for example an image or a random field. A key element is the notion of persistent homology: how features change as we filter in some way.  Often the filtration is based on level, t say, and features are components, holes, loops and so on that are apparent in level sets made up of the locations of all points with values Z(s)>t.

Equating level with time (or log time) and the appearance and disappearance of features as births and deaths, then an alternative interpretation of persistent homology is as an event history process.  We explore the use of familiar methods in survival and event history analysis in the analysis of hydrogen concentration in the interstellar medium. We use topological event history methods to investigate the small-scale variation and local spatial characteristics  in three regions of the southern sky. We demonstrate that there are circumstances where topological methods can identify differences in distributions when conventional marginal or correlation analyses may not.

Na kratko o IBMI

Inštitut za biostatistiko in medicinsko informatiko (IBMI), prej Inštitut za biomedicinsko informatiko (torej tudi IBMI), je Medicinska fakulteta ustanovila leta 1973 kot izraz potrebe po izvajanju in usklajevanju del, vezanih na analizo podatkov in posredovanje informacij. Program dela in razvoja se je skozi čas prilagajal predvsem spremembam pri financiranju in tehnološkemu napredku, vendar so temeljne smernice ostale enake: inštitut se predvsem posveča dejavnostim, ki so pomembne za raziskovalno delo v medicini. Te pa lahko razdelimo na:

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