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<div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><div class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_4176080224522608772gmail-gE gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_4176080224522608772gmail-iv gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_4176080224522608772gmail-gt" style="padding:10px 0px 3px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px"><b>9/17 TTIC Colloquium: Rebecca Willett, University of Chicago</b></span><br></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px"><b><br></b></span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"></p><div><img src="cid:ii_jlwknxf50_165c49133eb8bb6c" width="95" height="122" class="gmail-CToWUd" style="margin-right: 0px;"><br></div><br><p></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;font-size:12.8px;line-height:normal;background:white"><b style="font-family:arial,helvetica,sans-serif;font-size:12.8px">When:    </b><span style="font-family:arial,helvetica,sans-serif;font-size:12.8px">  Monday, September 17th at <b>11:00 am</b></span><br></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;font-size:12.8px;line-height:normal;background:white"><span style="color:rgb(34,34,34)"><span><font face="arial, helvetica, sans-serif"> </font></span></span></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;font-size:12.8px;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><b><span style="color:rgb(34,34,34)">Where:     </span></b><span style="color:rgb(34,34,34)">TTIC, 6045 S. Kenwood Avenue, 5th Floor, Room 526<span></span></span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;font-size:12.8px;line-height:normal;background:white"><span style="color:rgb(34,34,34)"><span><font face="arial, helvetica, sans-serif"> </font></span></span></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif" style="font-size:12.8px"><b><span style="color:rgb(34,34,34)">Who:        </span></b></font><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px">Rebecca Willett, University of Chicago</span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px"><br></span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><br></p></div></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif"><b>Title:</b>        <span style="font-size:12.8px">Learning from Highly </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Correlated</span><span style="font-size:12.8px"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Features</span><span style="font-size:12.8px"> </span><span style="font-size:12.8px">usi<wbr>ng </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Graph</span><span style="font-size:12.8px"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Total</span><span style="font-size:12.8px"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Variation</span></font></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"><font face="arial, helvetica, sans-serif"><div><br></div><div><b>Abstract:</b><span> </span></div><div><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">Sparse models for machine learning have received substantial attention </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">over the past two decades. Model selection, or determining which</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> are the best explanatory variables, is critical to the</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">interpretability of a learned model. Much of this work assumes that</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> are only mildly </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">. However, in modern applications </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">ranging from functional MRI to genome-wide association studies, we</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">observe highly </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">tha<wbr>t do not exhibit key properties </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">(such as the restricted eigenvalue condition). In this talk, I will</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">describe novel methods for robust sparse linear regression in these </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">settings. Using side information about the strength of </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlations</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">among </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">, we form a </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> with edge weights corresponding to </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">pairwise </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlations</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">. This </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> is used to define a </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">total</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">variation</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> regularizer that promotes similar weights for highly </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">. I will show how the </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> structure encapsulated</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">by this regularizer helps precondition </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="gmail-m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">featur<wbr>es</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> to yield </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">provably accurate estimates. The proposed approach outperforms several</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">previous approaches in a variety of experiments on simulated and real </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">fMRI data. </span></div><div><span style="font-size:12.8px"><br></span></div><div><span style="font-size:12.8px">This is joint work with Yuan Li, Ben Mark, and Garvesh Raskutti.</span><br></div><div><div style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br class="gmail-m_-8162654632351865242gmail-Apple-interchange-newline"></div><br></div><div><br></div></font></span></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif">Host:  <a href="mailto:klivescu@ttic.edu" target="_blank" style="color:rgb(17,85,204)">Karen Livescu</a></font></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif"><br></font></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif"><br></font></div><font face="arial, helvetica, sans-serif" style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><span style="text-decoration-style:initial;text-decoration-color:initial;font-kerning:none"><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-Apple-interchange-newline">For more information on the </span><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-m_-7649362550103587767gmail-m_37711595404184628gmail-m_-8366621373355229216gmail-il"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-m_-7649362550103587767gmail-il"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-il"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-il"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-il"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-il">colloquium</span></span></span></span></span></span></span><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"> series or to subscribe to the mailing list,please </span></span><span style="text-decoration-style:initial;text-decoration-color:initial">see </span><a href="http://www.ttic.edu/colloquium.php" target="_blank" style="color:rgb(17,85,204)">http://www.tti<wbr>c.edu/<span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-m_-7649362550103587767gmail-il"><span class="gmail-m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_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<br><div class="gmail_extra"><br clear="all"><div><div class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><font face="arial, helvetica, sans-serif">Mary C. Marre</font><div><font face="arial, helvetica, sans-serif">Administrative Assistant</font></div><div><i><font face="arial, helvetica, sans-serif" color="#3d85c6"><b>Toyota Technological Institute</b></font></i></div><div><i><font face="arial, helvetica, sans-serif" color="#3d85c6">6045 S. Kenwood Avenue</font></i></div><div><i><font face="arial, helvetica, sans-serif" color="#3d85c6">Room 517</font></i></div><div><i><font face="arial, helvetica, sans-serif" color="#3d85c6">Chicago, IL  60637</font></i></div><div><i><font face="arial, helvetica, sans-serif">p:(773) 834-1757</font></i></div><div><i><font face="arial, helvetica, sans-serif">f: (773) 357-6970</font></i></div><div><b><i><a href="mailto:mmarre@ttic.edu" target="_blank"><font face="arial, helvetica, sans-serif">mmarre@ttic.edu</font></a></i></b></div></div></div></div></div></div></div></div></div></div></div></div></div></div>
<br><div class="gmail_quote">On Mon, Sep 10, 2018 at 12:40 PM, Mary Marre <span dir="ltr"><<a href="mailto:mmarre@ttic.edu" target="_blank">mmarre@ttic.edu</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr">

<div style="text-decoration-style:initial;text-decoration-color:initial"><div class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_4176080224522608772gmail-gE m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_4176080224522608772gmail-iv m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_4176080224522608772gmail-gt" style="padding:10px 0px 3px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px"><b>9/17 TTIC Colloquium: Rebecca Willett, University of Chicago</b></span><br></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px"><b><br></b></span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"></p><div><img src="cid:ii_jlwknxf50_165c49133eb8bb6c" width="95" height="122" style="margin-right:0px"><br></div><br><p></p><p class="MsoNormal" style="font-size:12.8px;margin:0in 0in 0.0001pt;line-height:normal;background:white"><b style="font-family:arial,helvetica,sans-serif;font-size:12.8px">When:    </b><span style="font-family:arial,helvetica,sans-serif;font-size:12.8px">  Monday, September 17th at 11:00 am</span><br></p><p class="MsoNormal" style="font-size:12.8px;margin:0in 0in 0.0001pt;line-height:normal;background:white"><span style="color:rgb(34,34,34)"><span><font face="arial, helvetica, sans-serif"> </font></span></span></p><p class="MsoNormal" style="font-size:12.8px;margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><b><span style="color:rgb(34,34,34)">Where:     </span></b><span style="color:rgb(34,34,34)">TTIC, 6045 S. Kenwood Avenue, 5th Floor, Room 526<span></span></span></font></p><p class="MsoNormal" style="font-size:12.8px;margin:0in 0in 0.0001pt;line-height:normal;background:white"><span style="color:rgb(34,34,34)"><span><font face="arial, helvetica, sans-serif"> </font></span></span></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif" style="font-size:12.8px"><b><span style="color:rgb(34,34,34)">Who:        </span></b></font><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px">Rebecca Willett, University of Chicago</span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><font face="arial, helvetica, sans-serif"><span style="font-size:12.8px"><br></span></font></p><p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;background:white"><br></p></div></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif"><b>Title:</b>        <span style="font-size:12.8px">Learning from Highly </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Correlated</span><span style="font-size:12.8px"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Features</span><span style="font-size:12.8px"> </span><span style="font-size:12.8px">usi<wbr>ng </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Graph</span><span style="font-size:12.8px"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Total</span><span style="font-size:12.8px"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="font-size:12.8px">Variation</span></font></div>

<div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"><font face="arial, helvetica, sans-serif"><div><br></div><div><b>Abstract:</b><span> </span></div><div>

<span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">Sparse models for machine learning have received substantial attention </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">over the past two decades. Model selection, or determining which</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> are the best explanatory variables, is critical to the</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">interpretability of a learned model. Much of this work assumes that</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> are only mildly </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">. However, in modern applications </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">ranging from functional MRI to genome-wide association studies, we</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">observe highly </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">tha<wbr>t do not exhibit key properties </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">(such as the restricted eigenvalue condition). In this talk, I will</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">describe novel methods for robust sparse linear regression in these </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">settings. Using side information about the strength of </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlations</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">among </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">, we form a </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> with edge weights corresponding to </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">pairwise </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlations</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">. This </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> is used to define a </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">total</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">variation</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> regularizer that promotes similar weights for highly </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">features</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">. I will show how the </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">graph</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> structure encapsulated</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">by this regularizer helps precondition </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">correlated</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> </span><span class="m_-8162654632351865242gmail-m_-2161362115610267310gmail-il" style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">featur<wbr>es</span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline"> to yield </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">provably accurate estimates. The proposed approach outperforms several</span><br style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">previous approaches in a variety of experiments on simulated and real </span><span style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">fMRI data. </span></div><div><span style="font-size:12.8px"><br></span></div><div><span style="font-size:12.8px">This is joint work with Yuan Li, Ben Mark, and Garvesh Raskutti.</span><br></div><div><div style="background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br class="m_-8162654632351865242gmail-Apple-interchange-newline">

</div><br></div><div><br></div></font></span></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif">Host:  <a href="mailto:klivescu@ttic.edu" target="_blank">Karen Livescu</a></font></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif"><br></font></div><div style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><font face="arial, helvetica, sans-serif"><br></font></div><font face="arial, helvetica, sans-serif" style="font-size:12.8px;text-decoration-style:initial;text-decoration-color:initial"><span style="text-decoration-style:initial;text-decoration-color:initial;font-kerning:none"><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-Apple-interchange-newline">For more information on the </span><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-m_-7649362550103587767gmail-m_37711595404184628gmail-m_-8366621373355229216gmail-il"><span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-m_-7649362550103587767gmail-il"><span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-m_4240741644540508174gmail-il"><span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-8347358208690191418gmail-m_6958947101002467454gmail-il"><span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-il"><span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-il">colloquium</span></span></span></span></span></span></span><span style="color:rgb(34,34,34);font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"> series or to subscribe to the mailing list,please </span></span><span style="text-decoration-style:initial;text-decoration-color:initial">see </span><a href="http://www.ttic.edu/colloquium.php" style="color:rgb(17,85,204)" target="_blank">http://www.tti<wbr>c.edu/<span class="m_-8162654632351865242gmail-m_-2650839997747250084gmail-m_-4421783803009889794gmail-m_1235227957090907765gmail-m_767208242022040581gmail-m_5118066322451693210gmail-m_3292142122556441362m_4179300188985034065m_8112548636363365103gmail-m_-5864378453105999086gmail-m_-1690647303496242289m_1430452980776983890gmail-m_1031910664862358996gmail-m_8778633083237298896gmail-m_-83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