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<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><b><span style="font-size:12pt;line-height:115%" lang="EN-US">Probability Webinar -<span> </span>IM-UFRJ <span></span></span></b></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><b><span style="font-size:12pt;line-height:115%" lang="EN-US"><span> </span></span></b></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Dear colleagues,<span>
</span><span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Our next
online seminar will be held on Monday, <b>October
18, </b><span> </span>from <b>3 p.m. to 4 p.m</b>.
(Rio de Janeiro local time)<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">The Zoom link for the seminar is </span><span lang="EN-US"><span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><a href="https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09" style="color:blue;text-decoration:underline" target="_blank"><span style="font-family:"Arial","sans-serif";color:rgb(17,85,204);background:white none repeat scroll 0% 0%" lang="EN-US">https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09</span></a></p><p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><br><span lang="EN-US"><span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%">Speaker:<span> </span></span><span><b>Florencia Leonardi (IME-USP)</b></span><b><span style="font-size:12pt;line-height:115%"><span></span></span></b></p>
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<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Title:
<span> </span></span><b><span lang="EN-US">Structure recovery for partially observed
discrete Markov random fields on graphs</span></b><b><span lang="EN-US"><span></span></span></b></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Abstract:
Discrete Markov random fields on graphs, also known as graphical models in the
statistical literature, have become popular in recent years due to their
flexibility to capture conditional dependency relationships between variables.
They have already been applied to many different problems in different fields
such as Biology, Social Science, or Neuroscience. Graphical models are, in a
sense, finite versions of general random fields or Gibbs distributions,
classical models in stochastic processes. This talk will present the problem of
estimating the interaction structure (conditional dependencies) between
variables by a penalized pseudo-likelihood criterion. First, I will consider
this criterion to estimate the interaction neighborhood of a single node, which
will later be combined with the other estimated neighborhoods to obtain an
estimator of the underlying graph. I will show some recent consistency results
for the estimated neighborhood of a node and any finite sub-graph when the
number of candidate nodes grows with the sample size. These results do not
assume the usual positivity condition for the conditional probabilities of the
model as it is usually assumed in the literature of Markov random fields. These
results open new possibilities of extending these models to situations with
sparsity, where many parameters of the model are null. I will also present some
ongoing extensions of these results to processes satisfying mixing type
conditions. This talk is based on a joint work with Iara Frondana and Rodrigo
Carvalho and some work in progress with Magno Severino.<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><b><span style="font-size:12pt;line-height:115%" lang="EN-US"><br>
</span></b><span style="font-size:12pt;line-height:115%" lang="EN-US">All the talks are held in English. </span><span style="font-size:12pt;line-height:115%" lang="EN-US"><span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">The videos of
the online seminars are available:<span></span></span></p>
<p class="MsoNormal" style="line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">2020 -<span> </span><a href="http://www.dme.ufrj.br/?page_id=2885" target="_blank">http://www.dme.ufrj.br/?page_id=2885</a><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">2021-1<span> </span>- <a href="http://www.dme.ufrj.br/?page_id=3027" target="_blank">http://www.dme.ufrj.br/?page_id=3027</a><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">For the second semester, a few days after each meeting
the video should be available at <a href="http://www.dme.ufrj.br/?page_id=3178" target="_blank">http://www.dme.ufrj.br/?page_id=3178</a><span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Thanks for circulating this information. <span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US">Sincerely, <br>
Organizers: Guilherme Ost and Maria Eulalia Vares<span></span></span></p>
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<p class="MsoNormal" style="margin:0cm 0cm 10pt;line-height:115%;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:12pt;line-height:115%" lang="EN-US"><span> </span></span></p>
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