<div dir="ltr"><p class="MsoNormal" align="center" style="margin:0in 24pt 0.0001pt 0in;text-align:center;text-indent:0.5in;line-height:150%;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-size:12pt;font-family:"Times New Roman""><span style="font-size:15pt;line-height:150%;font-family:FZShuTi">Artificial Intelligence Seminars</span><span style="font-family:"Arial Narrow""></span></p><p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b><span style="font-size:15pt;font-family:Arial;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Predicting zeros of the Riemann-zeta function </span></b></p><p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b><span style="font-size:15pt;font-family:Arial;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">using machine learning models</span></b></p><p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b>Speaker </b>Dr. Huan Qin</p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> Assistant Professor</p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> Department of Mathematics
and Statistics</p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> San Diego State University-Imperial
Valley Campus<b></b></p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b> </b></p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b>Where </b>GMCS-405<b></b></p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b> </b></p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><a name="OLE_LINK2"></a><a name="OLE_LINK1"><b>When </b></a><a name="OLE_LINK6"></a><a name="OLE_LINK5">10:30am-11:30am, Friday,
</a>October 25th, 2019</p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> </p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b>Speaker</b></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> </p>
<p class="MsoNormal" style="text-indent:0.5in;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Dr. Huan Qin is
currently an Assistant Professor of Mathematics at San Diego State
University-Imperial Valley Campus. In 2017, she earned her Ph.D. in Mathematics
and M.S. in Statistics from the University of Iowa. Her research interests in
mathematics include analytic number theory, automorphic forms, the subconvexity
problem for L-functions, and resonance sums. She is also interested in studies
related to machine learning regressions, time series predictions, statistical
computing, and statistical consulting.</span></p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> </p>
<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><b>Abstract</b></p>
<p class="MsoNormal" style="text-indent:0.5in;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""> </p>
<p class="MsoNormal" style="text-indent:0.5in;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman"">The Riemann-zeta function is one of the most celebrated number theory
objects and has been extensively studied for almost 200 years. Of particular
interest is the conjecture (Riemann Hypothesis) that all non-trivial zeros of
the Riemann-zeta function lie on the critical line: Re(s) = ½. In this study, we explore the
possibilities of using machine learning models to locate the non-trivial zeros.
The problem of predicting complex-valued zeros is reformulated as a real-valued
time series prediction task. The initial pool of features is selected via a
theoretical study of the relationship between Riemann-Siegel Z function and the
Riemann-zeta function. We compare prediction performance of three
architectures: Multilayer Perceptron, Recurrent Neural Network, and Support
Vector Regression.</p><p class="MsoNormal" style="text-indent:0.5in;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><br></p><p class="MsoNormal" style="text-indent:0.5in;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;margin:0in 0in 0.0001pt;font-size:12pt;font-family:"Times New Roman""><br></p><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div><br></div><div>Best,</div><div dir="ltr">Xiaobai Liu, PhD<div>Associate Professor of Computer Science</div><div>Director of Computer Vision Lab<br></div><div>San Diego State University</div><div>CA, 92182</div><div><br></div><div><br></div><div><br></div></div></div></div></div></div></div></div><br><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">---------- Forwarded message ---------<br>From: <strong class="gmail_sendername" dir="auto">Xiaobai Liu</strong> <span dir="auto"><<a href="mailto:xiaobai.liu@sdsu.edu">xiaobai.liu@sdsu.edu</a>></span><br>Date: Wed, Oct 23, 2019 at 12:03 PM<br>Subject: AI Seminar Oct 25, Fri, 10:30-11:30am, GMCS405<br>To: Naedean Anderson <<a href="mailto:nbanderson@sdsu.edu">nbanderson@sdsu.edu</a>>, Shangping Ren <<a href="mailto:sren@sdsu.edu">sren@sdsu.edu</a>><br></div><br><br><div dir="ltr">Dear Naedean: Could you help forward this flyer to our students via blackboard?? Thanks <div><br></div><div><div><div dir="ltr" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div><br></div><div>Best,</div><div dir="ltr">Xiaobai Liu, PhD<div>Associate Professor of Computer Science</div><div>Director of Computer Vision Lab<br></div><div>San Diego State University</div><div>CA, 92182</div><div><br></div><div><br></div><div><br></div></div></div></div></div></div></div></div></div></div>
</div></div>