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CATEGORIES:CCIMI Seminars
SUMMARY:Randomised dimensionality reduction for persistent
  homology - Martin Lotz - University of Manchester
DTSTART;TZID=Europe/London:20171101T140000
DTEND;TZID=Europe/London:20171101T150000
UID:TALK80351AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/80351
DESCRIPTION:We discuss ways in which ideas arising from compre
 ssive sensing and related fields can lead to compl
 exity reductions in topological data analysis. In 
 particular\, it is possible to reduce the computat
 ion of persistent homology of Euclidean point clou
 ds to spaces whose dimension is proportional to an
  intrinsic notion of dimension\, the Gaussian widt
 h\, associated to structural properties of the dat
 a. We give an overview of the relevant theory and 
 discuss applications and limitations of this appro
 ach.
LOCATION:MR5 Centre for Mathematical Sciences
CONTACT:Rachel Furner
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