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DESCRIPTION:Euclidean mirrors and first-order changepoints in network time 
 series\n\nDr. Zachary Lubberts\nAssistant Professor of Statistics\nUnivers
 ity of Virginia\n  \nFriday\, February 14th\, 2025 \n11:00 A.M. – 
 12:00 P.M. Eastern Time \nGeorge Mason University\nNguyen Engineering Bu
 ilding\, Jajodia Auditorium\, Room 1101 \n4511 Patriot Circle\, Fairfax\
 , Virginia 22030\n\nThe seminar talk is also live-streamed. Please [regist
 er](https://nam11.safelinks.protection.outlook.com/?url=https%3A%2F%2Fform
 s.office.com%2Fr%2FiKmfG9TRfL&amp;data=05%7C02%7Ckhassan1%40gmu.edu%7Ce68f0039
 cf52432c66c808dd4ab57147%7C9e857255df574c47a0c00546460380cb%7C0%7C0%7C6387
 48865415063328%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjA
 uMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&amp;sda
 ta=1D2gQLkg7uv19bP2BlNWzEai3uqtgwiCO3DLlEQitbQ%3D&amp;reserved=0) to receive t
 he link.\n \nAbstract: \nWe describe a model for a network time series
  whose evolution is governed by an underlying stochastic process\, known a
 s the latent position process\, in which network evolution can be represen
 ted in Euclidean space by a curve\, called the Euclidean mirror. We define
  the notion of a first-order changepoint for a time series of networks\, a
 nd construct a family of latent position process networks with underlying 
 first-order changepoints. We prove that a spectral estimate of the associa
 ted Euclidean mirror localizes these changepoints\, even when the graph di
 stribution evolves continuously\, but at a rate that changes. Simulated an
 d real data examples on organoid networks show that this localization capt
 ures empirically significant shifts in network evolution.\n\nBio: \nZach
  Lubberts is a data scientist working on the interplay of statistics and o
 ptimization\, with an emphasis on statistics on graphs. Some of his recent
  publications concern accurate estimation of the eigenvectors of random ma
 trices and the capture of relevant signal in various graph models\, includ
 ing time series of graphs.\nLubberts earned his Ph.D. in applied mathemati
 cs and statistics from Johns Hopkins University in 2019. His dissertation 
 research focused on the application of real algebraic geometry to the cons
 truction of multivariable tight wavelet frames for use in signal processin
 g. He also earned his bachelor’s degree in applied mathematics and stati
 stics and philosophy from Johns Hopkins in 2013.\n\nRoom: Jajodia Auditori
 um Room 1101\, Bldg: Nguyen Engineering Building\, \, George Mason Univers
 ity\, 4511 Patriot Circle\, Fairfax\, Virginia\, United States\, 22030\, V
 irtual: https://events.vtools.ieee.org/m/468380
LOCATION:Room: Jajodia Auditorium Room 1101\, Bldg: Nguyen Engineering Buil
 ding\, \, George Mason University\, 4511 Patriot Circle\, Fairfax\, Virgin
 ia\, United States\, 22030\, Virtual: https://events.vtools.ieee.org/m/468
 380
ORGANIZER:kafi@ieee.org
SEQUENCE:25
SUMMARY:Euclidean mirrors and first-order changepoints in network time seri
 es 
URL;VALUE=URI:https://events.vtools.ieee.org/m/468380
X-ALT-DESC:Description: &lt;br /&gt;&lt;div class=&quot;x_elementToProof&quot;&gt;&lt;strong&gt;&lt;em dat
 a-olk-copy-source=&quot;MessageBody&quot;&gt;Euclidean mirrors and first-order changepo
 ints in network time series&lt;/em&gt;&lt;/strong&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div aria-hidden=&quot;
 true&quot;&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;Dr. Zachary Lubberts&amp;nbsp\;&amp;nbsp\;&lt;/stro
 ng&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;Assistant Professor of Statistics&lt;/strong&gt;&amp;
 nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;University of Virginia&lt;/strong&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;
 div&gt;  &amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;Friday\, February 14th\, 2025&lt;/stron
 g&gt; &amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;11:00 A.M. &amp;ndash\; 12:00 P.M. Eastern Ti
 me&lt;/strong&gt; &amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;George Mason University&lt;/strong&gt;
 &lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;Nguyen Engineering Building\, Jajodia Auditorium\, Ro
 om 1101&lt;/strong&gt; &amp;nbsp\;&lt;/div&gt;\n&lt;div class=&quot;x_elementToProof&quot;&gt;&lt;strong&gt;45
 11 Patriot Circle\, Fairfax\, Virginia 22030&lt;/strong&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div a
 ria-hidden=&quot;true&quot;&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div class=&quot;x_elementToProof&quot;&gt;&lt;strong&gt;The
  seminar talk is also live-streamed. Please &lt;a id=&quot;x_anchor-99eec5d8-7979-
 1ef8-6ed1-6413a1557c4e&quot; class=&quot;x_OWAAutoLink&quot; title=&quot;Original URL: https:/
 /forms.office.com/r/iKmfG9TRfL. Click or tap if you trust this link.&quot; href
 =&quot;https://nam11.safelinks.protection.outlook.com/?url=https%3A%2F%2Fforms.
 office.com%2Fr%2FiKmfG9TRfL&amp;amp\;data=05%7C02%7Ckhassan1%40gmu.edu%7Ce68f0
 039cf52432c66c808dd4ab57147%7C9e857255df574c47a0c00546460380cb%7C0%7C0%7C6
 38748865415063328%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIw
 LjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&amp;
 amp\;sdata=1D2gQLkg7uv19bP2BlNWzEai3uqtgwiCO3DLlEQitbQ%3D&amp;amp\;reserved=0&quot;
  target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; data-auth=&quot;Verified&quot; data-linki
 ndex=&quot;0&quot;&gt;register&lt;/a&gt; to receive the link.&amp;nbsp\;&lt;/strong&gt;&lt;/div&gt;\n&lt;div&gt;&lt;st
 rong&gt; &lt;/strong&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div class=&quot;x_elementToProof&quot;&gt;&lt;strong&gt;Abst
 ract:&lt;/strong&gt; &amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;We describe a model for a network tim
 e series whose evolution is governed by an underlying stochastic process\,
  known as the latent position process\, in which network evolution can be 
 represented in Euclidean space by a curve\, called the Euclidean mirror. W
 e define the notion of a first-order changepoint for a time series of netw
 orks\, and construct a family of latent position process networks with und
 erlying first-order changepoints. We prove that a spectral estimate of the
  associated Euclidean mirror localizes these changepoints\, even when the 
 graph distribution evolves continuously\, but at a rate that changes. Simu
 lated and real data examples on organoid networks show that this localizat
 ion captures empirically significant shifts in network evolution.&amp;nbsp\;&lt;/
 div&gt;\n&lt;div aria-hidden=&quot;true&quot;&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;Bio:&lt;/strong&gt; 
 &amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;Zach Lubberts is a data scientist working on the inter
 play of statistics and optimization\, with an emphasis on statistics on gr
 aphs. Some of his recent publications concern accurate estimation of the e
 igenvectors of random matrices and the capture of relevant signal in vario
 us graph models\, including time series of graphs.&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;Lubb
 erts earned his Ph.D. in applied mathematics and statistics from Johns Hop
 kins University in 2019. His dissertation research focused on the applicat
 ion of real algebraic geometry to the construction of multivariable tight 
 wavelet frames for use in signal processing. He also earned his bachelor&amp;r
 squo\;s degree in applied mathematics and statistics and philosophy from J
 ohns Hopkins in 2013.&amp;nbsp\;&lt;/div&gt;
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