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  <title><![CDATA[PhD Defense by Mirabel Reid]]></title>
  <body><![CDATA[<p><strong>Title</strong>: On k-Winners-Take-All as a Model of Neuron Communication</p><p><strong>Date</strong>: Monday, November 24, 2025</p><p><strong>Time</strong>: 9:00AM- 11:00 AM ET</p><p><strong>Location</strong>: Hybrid, Klaus Advanced Computing Building 1120A</p><p>Zoom: <a href="https://gatech.zoom.us/j/92075978467">https://gatech.zoom.us/j/92075978467</a></p><p>&nbsp;</p><p><strong>Mirabel Reid</strong></p><p>Ph.D. Candidate</p><p>School of Computer Science</p><p>College of Computing</p><p>Georgia Institute of Technology</p><p>&nbsp;</p><p><strong>Committee</strong>:</p><p>Dr. Santosh Vempala (advisor) - &nbsp;School of Computer Science, Georgia Institute of Technology</p><p>Dr. Debankur Mukherjee - School of Industrial and Systems Engineering, Georgia Institute of Technology</p><p>Dr. Will Perkins - School of Computer Science, Georgia Institute of Technology</p><p>Dr. Dana Randall, School of Computer Science, Georgia Institute of Technology</p><p>Dr. Angela Yu, Department of Human Sciences, Technische Universität Darmstadt</p><p>&nbsp;</p><p>&nbsp;</p><p><strong>Abstract</strong>: Understanding how local interactions between neurons give rise to high-level structures in the brain is one of the key open questions in neuroscience. This thesis investigates discrete-time, weighted digraph models of the connectome, which not only provide insight into biological neural networks, but also form the backbone of modern artificial neural networks. The primary model of interest is the k-cap process, a recurrent neural network employing k-winners-take-all (k-WTA) as a nonlinear gating function; this mechanism models firing rate regulation via global lateral inhibition. By exploring the computational properties arising from this model, this work aims to offer insights into the emergence of structures in the connectome.&nbsp;</p>]]></body>
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