<div dir="ltr"><div dir="ltr"><span id="gmail-m_96108346617394187gmail-docs-internal-guid-c8489a7f-7fff-f57c-6144-d94f8942680d" style="color:rgb(0,0,0)"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Nell&#39;ambito del progetto </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-style:italic;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Se mi narri di Matematica</span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Data e ora: </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        <u><b>oggi</b></u>, </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">20 maggio 2021, ore 16:30 </span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Speaker: </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Claudio Tomasi (Università della Svizzera Italiana) </span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Titolo: </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-style:italic;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Multigrid meets Neural Networks</span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Abstract: </span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Multigrid methods are amongst the most successful strategies for solving linear systems arising from discretized elliptic equations. The main idea is to combine different levels of approximation in a multilevel hierarchy to compute the solution. Common to all these strategies is the need for the transfer of data between different grids. In this talk we give a basic overview of multigrid methods followed by an insight on neural network models, to then investigate the interplay between these two frameworks. We address the crucial points of multigrid using predictions instead of expensive computations, and we discuss how to overcome the ever-increasing complexity of the learning process applying multilevel hierarchies during the training phase.</span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Aula Beltrami,</span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"> Dipartimento di Matematica.</span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">oppure</span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Link Zoom: <a href="https://us02web.zoom.us/j/81923525460" target="_blank">https://us02web.zoom.us/j/81923525460</a></span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Meeting ID: 819 2352 5460</span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Passcode: 658922</span></p><br><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-style:italic;font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline;white-space:pre-wrap">Seguirà un piccolo rinfresco.</span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline;white-space:pre-wrap">Informazioni importanti riguardo allo svolgimento dei seminari:</span></p><ul style="margin-top:0px;margin-bottom:0px"><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">per coloro che intendono presenziare al seminario di persona, </span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">si avvisa che, per le attuali disposizioni, l&#39;accesso è consentito a un numero massimo di 40 persone. Non è necessario passare dal punto di misurazione della temperatura, ma</span><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline"> verrà chiesto di segnalare il proprio nominativo su apposito registro, che verrà conservato per i 14 giorni successivi</span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">;</span></p></li><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">a causa delle misure di sicurezza della piattaforma Zoom, </span><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">è necessario inserire il passcode</span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline"> per poter partecipare alla sessione;</span></p></li><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">nel caso in cui il meeting si interrompesse per problemi di natura tecnica, seguiranno istruzioni pubblicate sia sul sito (</span><a href="https://euler.unipv.it/seminaridott/" target="_blank" style="text-decoration:none"><span style="font-size:11pt;color:rgb(16,60,192);font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline">https://euler.unipv.it/seminaridott/</span></a><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">), sia sulla pagina facebook (</span><a href="https://www.facebook.com/seminarri/" target="_blank" style="text-decoration:none"><span style="font-size:11pt;color:rgb(16,60,192);font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline">https://www.facebook.com/seminarri/</span></a><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">);</span></p></li><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">il seminario verrà registrato e il video verrà caricato sul sito. Partecipando all&#39;evento si dà il consenso ad essere registrati.</span></p></li></ul><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Tutte le informazioni e gli aggiornamenti si trovano anche sulla pagina web (</span><a href="http://matematica.unipv.it/seminaridott/index.html" target="_blank" style="text-decoration:none"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;color:rgb(0,0,0);font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">https://euler.unipv.it/seminaridott/</span></a><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">) e su quella facebook (</span><a href="https://www.facebook.com/seminarri/" target="_blank" style="text-decoration:none"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;color:rgb(0,0,0);font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">https://www.facebook.com/seminarri/</span></a><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">).</span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">L&#39;invito si estende a tutti gli interessati.</span></p><br><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">gli organizzatori</span></p><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Mai, Silvia, Federico e Stefano</span></p><div><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"><br></span></div></span><div class="gmail-yj6qo"></div></div></div>