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CATEGORIES:CMS Special Lectures
SUMMARY:Compactly Supported Shearlets: Theory and Applicat
ions - Professor Dr Gitta Kutyniok\, Einstein-Prof
essorin\, Technische Universität Berlin
DTSTART;TZID=Europe/London:20170919T140000
DTEND;TZID=Europe/London:20170919T150000
UID:TALK78171AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/78171
DESCRIPTION:Many important problem classes are governed by ani
sotropic features such as singularities concentrat
ed on lower dimensional embedded manifolds\, for i
nstance\, edges in images or shear layers in solut
ions of transport dominated equations. While the a
bility to reliably capture and sparsely represent
anisotropic structures is obviously the more impor
tant the higher the number of spatial variables is
\, principal difficulties arise already in two spa
tial dimensions. Since it was shown that the well-
known (isotropic) wavelet systems are not capable
of efficiently approximating such anisotropic feat
ures\, the need arose to introduce appropriate ani
sotropic representation systems. Among various sug
gestions\, shearlets are the most widely used toda
y. Main reasons for this are their optimal sparse
approximation properties within a model situation
in combination with their unified treatment of the
continuum and digital realm\, leading to faithful
implementations. An additional advantage is the a
vailability of stable compactly supported systems
for high spatial localization.\n\nIn this talk\, w
e will first provide an introduction to the anisot
ropic representation system of shearlets\, in part
icular\, compactly supported shearlets\, and prese
nt the main theoretical results. We will then disc
uss several applications ranging from sparse regul
arization of inverse problems to the theory of dee
p neural networks.\n
LOCATION:MR3\, Centre for Mathematical Sciences\, Wilberfo
rce Road\, Cambridge
CONTACT:June Rix
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