<div dir="ltr"><p class="" style="text-align:center"><span style="font-size:18pt;font-family:'Times New Roman',serif">SEMINARIO
DI MATEMATICA</span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> </span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Martedì 16 giugno 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">ore 10:00</span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:10pt;font-family:'Times New Roman',serif"> </span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:'Times New Roman',serif">Scuola Normale Superiore</span></u></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Pisa</span></p>

<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Aula Campana</span></p>

<p class="MsoNormal"><b><u><span style="font-size:16pt;font-family:'Times New Roman',serif"><span style="text-decoration:none"> </span></span></u></b></p>

<pre style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Prof. Wojtek Czaya</span></b></pre><pre style="text-align:center"><i><span lang="EN-US" style="font-size:12pt;font-family:'Times New Roman',serif">University of Maryland</span></i></pre><pre style="text-align:center"><i><span lang="EN-US" style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></pre>

<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:'Times New Roman',serif">Terrà un
seminario dal titolo:</span></p>

<p class="MsoNormal"><b><span style="font-size:10pt;font-family:'Times New Roman',serif"> </span></b></p>

<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">“<span style="background-image:initial;background-repeat:initial">Solving
Fredholm integrals from incomplete measurements”</span></span></b></p>

<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:10pt;font-family:'Times New Roman',serif"> </span></b></p>

<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></b></p>

<p class=""><font face="arial, helvetica, sans-serif"><i><span lang="EN-GB" style="background-image:initial;background-repeat:initial">We present an algorithm to solve Fredholm
integrals of the first kind with tensor product structures, from a limited
number of measurements with the goal of using this method to accelerate nuclear
magnetic resonance (NMR) measurements. This is done by incorporating
compressive sampling type arguments to fill in the missing measurements using a
priori</span></i><i><span lang="EN-GB"> <span style="background-image:initial;background-repeat:initial">knowledge of the structure of the data. In the first
step, we recover a compressed data matrix from measurements that form a tight
frame, and establish that these measurements satisfy the restricted isometry
property (RIP). In the second step, we solve the zeroth-order regularization
minimization problem using the Venkataramanan-Song-Huerlimann algorithm. We
demonstrate the performance of this algorithm on simulated data and compare it
with other sampling techniques.</span></span> </i></font></p>

<p class=""><i><font face="arial, helvetica, sans-serif"><span lang="EN-GB" style="background-image:initial;background-repeat:initial">(Joint work with Alexander Cloninger and Ariel
Hafftka)</span></font></i></p>

<p class=""><i><span lang="EN-GB" style="background-image:initial;background-repeat:initial"><font face="arial, helvetica, sans-serif"> </font></span></i></p>

<p class=""><i><span lang="EN-GB" style="font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Tutti gli interessati sono invitati a partecipare.</span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Classe di Scienze Matematiche Naturali</span></p><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
</div>