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<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Guest Speaker<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Presented by: <st1:City w:st="on">Toyota</st1:City>
Technological Institute at <st1:City w:st="on"><st1:place w:st="on">Chicago</st1:place></st1:City><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Speaker: Nayantara Bhatnagar<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Speaker home page: <a
href="http://www-static.cc.gatech.edu/~nand/">http://www-static.cc.gatech.edu/~nand/</a><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Date: 5/7/07<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Time: 10:00<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Location: TTI-C Conference room<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><span class=GramE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>Title: Enhancing the Markov Chain <st1:place
w:st="on">Monte Carlo</st1:place> Method.</span></font></span><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'> <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Abstract:<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>The Markov Chain Monte Carlo method is arguably the most
powerful algorithmic tool available for approximate counting problems.<span
style='mso-spacerun:yes'>&nbsp; </span>Most known algorithms for such problems
follow the paradigm of defining a <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Markov chain and showing that it mixes rapidly<span
class=GramE>. </span>However, there are natural counting problems where the
obvious Markov chains do not mix rapidly.<span style='mso-spacerun:yes'>&nbsp;
</span>Annealing and Simulated Tempering are two heuristic<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>approaches that can be applied in such situations<span
class=GramE>. </span>Both aim at finding ways to circumvent bottlenecks that
cause Markov chains to mix slowly.<span style='mso-spacerun:yes'>&nbsp; </span>In
this talk, we will explore the power and limitations of<o:p></o:p></span></font></p>

<p class=MsoNormal><span class=GramE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>these approaches.</span></font></span><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>We present a simulated annealing based algorithm for the
problem of <span style='mso-spacerun:yes'>&nbsp;</span>generating<span
style='mso-spacerun:yes'>&nbsp; </span>random binary contingency tables<span
class=GramE>. </span>This problem <span class=GramE>can be restated</span> as
generating random bipartite graphs with a given degree<o:p></o:p></span></font></p>

<p class=MsoNormal><span class=GramE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>sequence</span></font></span><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'>.<span
style='mso-spacerun:yes'>&nbsp; </span>This <span class=GramE>is based</span>
on joint work with Ivona Bezakova and Eric Vigoda.<span
style='mso-spacerun:yes'>&nbsp; </span>On the flip side, we show that in some
scenarios, simulated tempering fails to speed up the mixing of the Markov chain
and in fact<o:p></o:p></span></font></p>

<p class=MsoNormal><span class=GramE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>no</span></font></span><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'> temperature based
interpolants for the tempering algorithm can succeed.<span
style='mso-spacerun:yes'>&nbsp; </span>This <span class=GramE>is based</span>
on joint work with Dana Randall.<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><span class=GramE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>If you have any questions or would
like to meet the speaker,</span></font></span><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'> please contact Ponda Barnes at
pondabarnes@tti-c. <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoPlainText><font size=2 face="Courier New"><span style='font-size:
10.0pt;mso-no-proof:yes'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p>&nbsp;</o:p></span></font></p>

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