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From: Holger Rauhut <rauhut@hcm.uni-bonn.de>
To: Martin Rumpf <martin.rumpf@ins.uni-bonn.de>,
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Subject: =?ISO-8859-1?Q?Vortr=E4ge_Fornasier,_Ward,_11.2.?=
Date: Fri, 6 Feb 2009 09:04:27 +0100
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Liebe Kollegen,

ich w=FCrde gerne auf 2 Vortr=E4ge meiner G=E4ste
am n=E4chsten Mittwoch (11.2.) aufmerksam machen:

14:00 Uhr Rachel Ward (Princeton University): Cross Validation in =20
Compressed Sensing
Abstract: The emerging area of Compressed Sensing revolves around the =20=

surprising fact that underdetermined linear systems of the form Ax =3D y =
=20
can be efficiently solved if x is known a priori to be sufficiently =20
sparse, that is, to have sufficiently small support. Most real world =20
signals x are not exactly sparse, but rather approximately sparse, in =20=

which case only an approximation to the underlying signal x satisfying =20=

Ax =3D y can be found in general. In this talk, we will show how cross =20=

validation-type techniques used in statistics and learning theory =20
naturally apply in the Compressed Sensing setup and offer very =20
efficient tight bounds on the root mean squared error ||x - x*|| =20
between the approximation x* and underlying signal x. Cross Validation =20=

techniques can be used for parameter selection in Compressed Sensing =20
as well.

15.15 Uhr
Massimo Fornasier (RICAM, Linz): Kinetic models for flocking
Abstract: In this talk we introduce and analyze a continuous version =20
of the flocking model of Cucker and Smale, which describes the state =20
of a population of birds. Within the same idea that a bird adjusts its =20=

velocity towards the average of neighbors' velocities, we construct a =20=

spatially dependent Boltzmann-type equation which describes the =20
behavior of the flock in terms of a density $f =3Df(x,v,t)$. The large-=20=

time behavior of $f$ is subsequently studied by means of mass =20
transportation techniques. A continuous analogue of the theorems of =20
Cucker and Smale which ensures convergence to a "compact flock" is =20
shown to hold for the solution. Several modifications are also =20
presented as well as numerical examples. The results presented in this =20=

talk are a joint work with Giuseppe Toscani e Jose' Carrillo.

Beide Vortr=E4ge finden im Konferenz-Raum der Villa Maria, Endenicher =20=

Allee 62, statt.

Ich w=FCrde mich =FCber Euer Erscheinen bzw. =FCber Weitergabe dieser =20=

Information freuen.

Viele Gr=FC=DFe,
Holger



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	charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable

<html><body style=3D"word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space; ">Liebe =
Kollegen,<div><br></div><div>ich w=FCrde gerne auf 2 Vortr=E4ge meiner =
G=E4ste&nbsp;</div><div>am n=E4chsten Mittwoch (11.2.) aufmerksam =
machen:</div><div><br></div><div>14:00 Uhr Rachel Ward (Princeton =
University):&nbsp;<span class=3D"Apple-style-span" style=3D"font-family: =
Times; font-size: 16px; -webkit-border-horizontal-spacing: 2px; =
-webkit-border-vertical-spacing: 2px; "><i>Cross Validation in =
Compressed Sensing</i>&nbsp;</span></div><span class=3D"Apple-style-span" =
style=3D"font-family: Times; font-size: 16px; =
-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: =
2px; ">Abstract: The emerging area of Compressed Sensing revolves around =
the surprising fact that underdetermined linear systems of the form Ax =3D=
 y can be efficiently solved if x is known a priori to be sufficiently =
sparse, that is, to have sufficiently small support. Most real world =
signals x are not exactly sparse, but rather approximately sparse, in =
which case only an approximation to the underlying signal x satisfying =
Ax =3D y can be found in general. In this talk, we will show how cross =
validation-type techniques used in statistics and learning theory =
naturally apply in the Compressed Sensing setup and offer very efficient =
tight bounds on the root mean squared error ||x - x*|| between the =
approximation x* and underlying signal x. Cross Validation techniques =
can be used for parameter selection in Compressed Sensing as =
well.</span><div><font class=3D"Apple-style-span" face=3D"Times" =
size=3D"4"><span class=3D"Apple-style-span" style=3D"font-size: 16px; =
-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: =
2px;"><div><div><br></div><div>15.15 Uhr</div><div>Massimo Fornasier =
(RICAM, Linz):&nbsp;Kinetic models for flocking&nbsp;<br>Abstract: In =
this talk we introduce and analyze a continuous version of the flocking =
model of Cucker and Smale, which describes the state of a population of =
birds. Within the same idea that a bird adjusts its velocity towards the =
average of neighbors' velocities, we construct a spatially dependent =
Boltzmann-type equation which describes the behavior of the flock in =
terms of a density $f =3Df(x,v,t)$. The large-time behavior of $f$ is =
subsequently studied by means of mass transportation techniques. A =
continuous analogue of the theorems of Cucker and Smale which ensures =
convergence to a "compact flock" is shown to hold for the solution. =
Several modifications are also presented as well as numerical examples. =
The results presented in this talk are a joint work with Giuseppe =
Toscani e Jose' Carrillo.</div><div><br></div><div>Beide Vortr=E4ge =
finden im Konferenz-Raum der Villa Maria, Endenicher Allee 62, =
statt.</div><div><br></div><div>Ich w=FCrde mich =FCber Euer Erscheinen =
bzw. =FCber Weitergabe dieser Information =
freuen.</div><div><br></div><div>Viele =
Gr=FC=DFe,</div><div>Holger</div><div><br></div><div><br></div></div></spa=
n></font></div><div><font class=3D"Apple-style-span" face=3D"Times" =
size=3D"4"><span class=3D"Apple-style-span" style=3D"font-size: 16px; =
-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: =
2px;"><span class=3D"Apple-style-span" =
style=3D"-webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
"></span></span></font></div></body></html>=

--Apple-Mail-4-49713506--


