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SUMMARY:Compressed sensing in infinite dimensions - Anders Hansen (Cambrid
 ge)
DTSTART:20100205T153000Z
DTEND:20100205T163000Z
UID:TALK22587@talks.cam.ac.uk
CONTACT:8047
DESCRIPTION: Compressed sensing is a great tool for solving inverse\nprobl
 ems (in particular in medical imaging)\, and the mathematical\nframework r
 elies heavily on delicate tools from statistics. However\,\nthe current th
 eory covers only problems in finite dimensions. In this\ntalk I will show 
 how the theory by Candes and Tao can be extended to\ninclude problems in i
 nfinite dimensions. This allows for recovery of\nmuch more general objects
  including infinite resolution images. The\ntools required come from proba
 bility\, operator theory and geometry of\nBanach spaces\, and the emphasis
  will be on the statistical aspects.\nI'll give an introduction to what is
  already known (accompanied by\nnumerical examples) and discuss some of th
 e open questions.\n\nhttp://www.damtp.cam.ac.uk/user/na/people/Anders/
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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