<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<style type="text/css" style="display:none;"><!-- P {margin-top:0;margin-bottom:0;} --></style>
</head>
<body dir="ltr">
<div id="divtagdefaultwrapper" dir="ltr" style="font-size: 12pt; color: rgb(0, 0, 0); font-family: Calibri, Helvetica, sans-serif, Helvetica, EmojiFont, "Apple Color Emoji", "Segoe UI Emoji", NotoColorEmoji, "Segoe UI Symbol", "Android Emoji", EmojiSymbols;">
<p></p>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px"><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Dear
Colleagues</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">,</span></font><font face="wf_segoe-ui_normal,Segoe UI,Segoe WP,Tahoma,Arial,sans-serif,serif,EmojiFont" size="3" color="#212121"><br>
</font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="3" color="#BF5AF2"><br>
</font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">The </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">last</span><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt"> </span></span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">International </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Bayes </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Club </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">(</span></font><a href="https://www.math.vu.nl/thebayesclub/" target="_blank" rel="noopener noreferrer" id="LPlnk987560" previewremoved="true"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span id="LPlnk987560" style="font-size:16px"><font face="wf_segoe-ui_normal,Segoe UI,Segoe WP,Tahoma,Arial,sans-serif,serif,EmojiFont" size="2"><span id="LPlnk987560" style="font-size:15px"><font face="Arial,Helvetica,sans-serif,serif,EmojiFont" size="3"><span id="LPlnk987560"><font size="2" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">https://www.math.vu.nl/thebayesclub/</span></font></span></font></span></font></span></font></a><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">) </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">meeting
of this academic year </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">will take place on the </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><b><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">11th</span></b></span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><b><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt"> of
</span><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">June</span><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt"> </span></b></span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><b><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">(</span></b></span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><b><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Friday</span></b></span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><b><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">)</span></b></span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif"> from </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">4</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif"> pm
(CEST)</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">. This time we have only one speaker: Andrew Stuart (Caltech</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">)</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">. </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">P</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">lease
find below the title and abstract of his talk</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">. </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">After </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">the
talks we will open up our </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif"> virtual </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">meeting
place at gather.town so if you want to hang out and perhaps have a beer virtually with your colleagues then </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">you </span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">are
invited to join. Since this is the last seminar of the semester it would be great if many of you could join even just for a short while. </span></font></span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><br>
</span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><br>
</div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px"><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"></span></font></span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px"><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt">
<div style="font-size:16px; font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont">
<font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">T</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">he
seminar will be on zoom:</span></font></div>
<div><br>
</div>
</span></font></span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px">
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt"> </span></div>
<div><font size="2" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"></span></font></div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Topic: International Bayes club</span></div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Time: Jun 11, 2021 04:00 PM Amsterdam, Berlin, Rome, Stockholm, Vienna</span></div>
<div><br>
</div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Join Zoom Meeting</span></div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">https://vu-live.zoom.us/j/96986415015?pwd=bnpjZDJhRkl2VkloYkN6TlVjd3VyUT09</span></div>
<div><br>
</div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Meeting ID: 969 8641 5015</span></div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Passcode: 982915</span></div>
<div><font size="2" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"></span></font></div>
<div><span style="font-family:Tahoma,Geneva,sans-serif; font-size:11pt"> </span></div>
<font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="3" color="#212121"><span style="font-size:12pt"><br>
</span></font></span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px"><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Link
to the meeting place at gather town:</span></font></span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px"><font size="2" color="#212121"><span style="font-size:11pt"><br>
</span></font></span></font></div>
<div style="font-family:Calibri,Helvetica,sans-serif,serif,EmojiFont; font-size:16px">
<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size:16px">
<div><a href="https://gather.town/app/4lK8Zj28Ys0WtutP/IBC" target="_blank" rel="noopener noreferrer" id="LPlnk32836" previewremoved="true"><font face="Helvetica,serif,EmojiFont" size="3"><span id="LPlnk32836" style="font-size:20px"><font color="#1155CC"><span id="LPlnk32836"><font size="2" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">https://gather.town/app/4lK8Zj28Ys0WtutP/IBC</span></font></span></font></span></font></a></div>
<div><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Password: bayesbayesbayes</span></font></div>
<div><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt"><br>
</span></font></div>
<font size="2" color="#212121"><span style="font-size:11pt"><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><font size="2" color="#212121" style="font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">----------------------------</span></font><br>
</span></font></span></font></div>
<div style=""><font color="#212121" face="Tahoma, Geneva, sans-serif, serif, EmojiFont"><span style="font-size:14.6667px"><br>
</span></font></div>
<div style=""><font color="#212121" face="Tahoma, Geneva, sans-serif, serif, EmojiFont"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Speaker: </span></font><span style="color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Andrew
Stuart (</span><span style="white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Tahoma, Geneva, sans-serif; font-size: 11pt;">Computing and Mathematical Sciences</span><span style="color: rgb(33, 33, 33); font-family: Tahoma, Geneva, sans-serif; font-size: 11pt;">, </span><span style="white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Tahoma, Geneva, sans-serif; font-size: 11pt;">Caltech</span><span style="color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif; font-size:11pt">)</span></div>
<div style=""><font color="#212121" face="Tahoma, Geneva, sans-serif, serif, EmojiFont" style="font-size: 12pt;"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif"><br>
</span></font></div>
<div style=""><font color="#212121" face="Tahoma, Geneva, sans-serif, serif, EmojiFont" style="font-size: 12pt;"><span style="font-size:11pt; font-family:Tahoma,Geneva,sans-serif">Title: </span></font><span style="white-space: pre-wrap; font-size: 11pt; color: rgb(33, 33, 33); font-family: Tahoma, Geneva, sans-serif;">Solving
PDEs With Gaussian Processes</span><br>
</div>
<div style=""><span style="white-space:pre-wrap; font-size:14.6667px; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont"></span></div>
<div style=""><span style="white-space:pre-wrap; font-size:11pt; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif">Coauthors:
</span><span style="white-space:pre-wrap; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Yifan Chen, Bamdad Hosseini and Houman Owhadi</span></div>
<div style=""><span style="white-space:pre-wrap; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont; font-size:14.6667px"></span></div>
<div style=""><span style="white-space:pre-wrap; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif; font-size:11pt">Abstract:</span><span style="white-space:pre-wrap; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif; font-size:11pt"><br>
</span></div>
<div style=""><span style="white-space:pre-wrap; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif; font-size:11pt">We describe an approach to solving PDEs in which the solution</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">is found by minimizing a squared RKHS norm subject to a penalty,</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">or
constraint, defined via the PDE. This links to the subject of</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">Gaussian
processes subject to pointwise nonlinear constraints. </span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">We
introduce a framework for the methodology, establish convergence</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">of
the resulting numerical method, and describe numerical results.</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">Forward
problems for a nonlinear elliptic PDE, Burgers' equation </span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">and
a regularized Eikonal equation are presented; and the method</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">is
extended to inverse problems and applied to the problem of </span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">permeability
identification in the Darcy model of flow in a porous medium. </span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"><br>
</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);"></span><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">Best
wishes,</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">Botond</span></div>
<div style=""><span style="font-family: Tahoma, Geneva, sans-serif; font-size: 11pt; white-space: pre-wrap; color: rgb(33, 33, 33);">(on behalf of the organisers)<br>
</span><span style="white-space:pre-wrap; color:rgb(33,33,33); font-family:Tahoma,Geneva,sans-serif,serif,EmojiFont; font-size:14.6667px"></span></div>
<p></p>
</div>
</body>
</html>