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CATEGORIES:Applied and Computational Analysis
SUMMARY:Curvature on graphs: what's behind the bend? - Yve
s van Gennip (University of Nottingham)
DTSTART;TZID=Europe/London:20131028T150000
DTEND;TZID=Europe/London:20131028T160000
UID:TALK47015AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/47015
DESCRIPTION:In data and image analysis\, the data sets are oft
en modelled as a graph in which the nodes represen
t the data points and the edges encode some relati
onship between the nodes\, relevant to the task at
hand. In recent years\, people have studied class
ical continuum PDE models used in image analysis\,
formulated on graphs\, to be applicable to data a
nalysis problems.\n\nThese studies show interestin
g connections between continuum results and the an
alogous problems on graphs. In this talk we will f
ocus on mean curvature. In the continuum world thi
s concept is of great geometric importance. For ex
ample\, it shows up as the first variation of the
total variation functional. We will discuss the co
ncept of curvature on graphs and\, starting from o
ur continuum intuition\, discuss its relation to t
he Allen-Cahn equation and threshold dynamics (Mer
riman-Bence-Osher) scheme on graphs.\n
LOCATION:MR 14\, CMS
CONTACT:Carola-Bibiane Schoenlieb
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