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SUMMARY:On anisotropic diffusion equations for label propagation - Lisa Ma
 ria Kreusser (University of Bath)
DTSTART:20211116T143000Z
DTEND:20211116T150000Z
UID:TALK165409@talks.cam.ac.uk
DESCRIPTION:In many problems in data classification\, it is desirable to a
 ssign labels to points in a point cloud where a certain number of them is 
 already correctly labeled. In this talk\, we propose a microscopic ODE app
 roach\, in which information about correct labels propagates to neighborin
 g points. Its dynamics are based on alignment mechanisms\, often used in c
 ollective and consensus models. We derive the respective continuum descrip
 tion\, which corresponds to an anisotropic diffusion equation with a react
 ion term. Solutions of the continuum model inherit interesting properties 
 of the underlying point cloud. We discuss the qualitative behavior of solu
 tions and exemplify the results with micro- and macroscopic simulations. T
 his is joint work with Marie-Therese Wolfram.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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