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  <title><![CDATA[PhD Defense by Rahul Singh]]></title>
  <body><![CDATA[<p><span><span><span><span><span><span>Dear Faculty Members and Fellow Students,</span></span></span> </span></span></span></p>

<p>&nbsp;</p>

<p><span><span><span><span><span><span>You are cordially invited to attend my thesis </span></span></span><span><span><span>defense</span></span></span><span><span><span> on April 3rd.</span></span></span></span></span></span></p>

<p>&nbsp;</p>

<p><span><span><span><strong><span><span><span>Title: </span></span></span></strong><span><span><span>Learning with Graph Structured Data</span></span></span></span></span></span></p>

<p>&nbsp;</p>

<p><span><span><span><strong><span><span><span>Date: </span></span></span></strong><span><span><span>April 3, 2023</span></span></span></span></span></span></p>

<p><span><span><span><strong><span><span><span>Time: </span></span></span></strong><span><span><span>1:30 - 3:00 pm ET</span></span></span></span></span></span></p>

<p><span><span><span><strong><span><span><span>Location:</span></span></span></strong><span><span><span> Price Gilbert Library- 4222</span></span></span></span></span></span></p>

<p><span><span><span><strong><span><span><span>Zoom Link: </span></span></span></strong><strong><span><span><span><a href="https://gatech.zoom.us/j/5339746700"><span>https://gatech.zoom.us/j/5339746700</span></a></span></span></span></strong><strong> </strong></span></span></span></p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p><span><span><span><strong><span><span><span>Student Name: </span></span></span></strong><span><span><span>Rahul Singh</span></span></span></span></span></span></p>

<p><span><span><span><span><span><span>Machine Learning PhD Student</span></span></span></span></span></span></p>

<p><span><span><span><span><span><span>School of Aerospace Engineering </span></span></span><br />
<span><span><span>Georgia Institute of Technology</span></span></span></span></span></span></p>

<p>&nbsp;</p>

<p><span><span><span><strong><span><span><span>Committee</span></span></span></strong></span></span></span></p>

<p><span><span><span><span><span><span>1.&nbsp; Prof. Yongxin Chen (Advisor, School of Aerospace Engineering)</span></span></span></span></span></span></p>

<p><span><span><span><span><span><span>2.&nbsp; Prof. Yao Xie (School of Industrial and Systems Engineering)</span></span></span></span></span></span></p>

<p><span><span><span><span><span><span>3.&nbsp; Prof. Srijan Kumar (College of Computing)</span></span></span></span></span></span></p>

<p><span><span><span><span><span><span>4.&nbsp; Prof. Eva Dyer (Department of Biomedical Engineering)</span></span></span></span></span></span></p>

<p><span><span><span><span><span><span>5.&nbsp; Prof. Lipeng Ning (Harvard Medical School)</span></span></span></span></span></span></p>

<p>&nbsp;</p>

<p><span><span><span><strong><span><span><span>Abstract</span></span></span></strong></span></span></span></p>

<p><span><span><span><span><span><span>Graphs provide a natural way to represent information in structured form.&nbsp;When the entities in a graph are random variables, it gives rise to probabilistic graphical models (PGMs). Traditional methods in PGMs are concerned with the structured data generated with known individual's association. These methods are not applicable in the setting when the data is generated by a large population of individuals with unknown individual's association. First part of the thesis is concerned with inference and learning from aggregate data generated by a large population of individuals each following a certain PGM. The second part of the thesis address the problem of representation learning over signed graphs. We propose spectral signed graph neural network (GNN) designs for learning node embeddings for signed graphs. Furthermore, we introduce signed Magnetic Laplacian for spectral analysis of directed signed graphs and use it to propose new spectral GNN designs applicable to directed signed graphs. </span></span></span></span></span></span></p>

<p>&nbsp;</p>
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