<div dir="ltr"><div class="gmail_default" style="font-size:small"><div style=""><div class="gmail_default" style=""><div style="font-family:Arial,Helvetica,sans-serif"><b style="color:rgb(0,0,0);font-family:georgia,serif">When:</b><span style="color:rgb(0,0,0);font-family:georgia,serif">         Friday, October 14th at </span><span style="color:rgb(0,0,0);font-family:georgia,serif;background-color:rgb(255,255,0)"><b>12:30pm CT</b></span></div><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"> <br><b>Where:</b><b>  </b>     Talk will be given <font style="font-weight:bold"><u style="background-color:rgb(255,255,0)">live, in-person</u></font><font style="font-weight:bold"> </font>at</font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif">                       TTIC, 6045 S. Kenwood Avenue</font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif">                       5th Floor, Room 530<b>              </b>   </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"> </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"><b>Virtually:</b>    via Panopto (<a href="https://uchicago.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=53793a5e-66c2-45cc-ac11-af2700e1817e" target="_blank">Livestream</a>) </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"><br></font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"><b>Who:</b><b> </b>           Baba C. Vemuri, University of Florida </font></p><table border="0" cellspacing="0" cellpadding="0" width="0" style="font-family:Arial,Helvetica,sans-serif;width:0in;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;border-collapse:collapse"><tbody><tr><td style="padding:0in"></td></tr></tbody></table><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" face="georgia, serif"> </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif"><font color="#000000"><b>Title:</b><b> </b>           </font></font><span style="font-family:georgia,serif">ManifoldNet: A Deep Neural Network for Manifold-valued Data with </span><span style="font-family:georgia,serif">Applications</span></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><br></b></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="georgia, serif"><b>Abstract:    </b><span style="background-color:transparent;color:rgb(0,0,0);font-size:9.9626pt;white-space:pre-wrap">Developing deep neural networks (DNNs) for manifold-valued data sets has gained significant in terest of late in the deep learning research community. Manifold-valued data abound many fields of Engineering and Sciences including but not limited to, Medical Imaging, Computer Vision, Robotics, etc., for example, diffusion tensor images (DTI), shape (landmarks) data, directional data, covariance matrices, GPS data and others. In this talk, a new theory and supporting architecture for DNNs tailored for manifold-valued data inputs dubbed, ManifoldNet, will be presented. Analogous to vector spaces where convolutions are equivalent to computing weighted means, manifold-valued data convolutions will be defined using the weighted Frechet Mean (wFM). To this end, a provably convergent recursive ´ algorithm for computation of the wFM of the given data is presented, where the weights are to be learned. Further, the proposed wFM operator is provably equivariant to the natural group actions admitted by the data manifold and achieves a contraction mapping. A novel network architecture to realize the Mani foldNet will be detailed during the talk. Experiments showcasing the performance of the ManifoldNet on regression and classification problems in Neuroimaging will be presented. Finally, if time permits, a generalization of the ManifoldNet to accommodate higher order manifold-valued convolutions will be briefly discussed. </span></font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="arial, sans-serif"> </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="arial, sans-serif"><br></font></p><p class="MsoNormal" style="margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000"><font face="georgia, serif" style=""><b style="">Bio:     </b></font><font face="georgia, serif" style="">Baba Vemuri received his PhD in Electrical and Computer Engineering from the University of Texas at Austin in 1987. He then joined the Department of Computer and Information Sciences</font></font></p><font face="georgia, serif" color="#000000">at the University of Florida, Gainesville, where he currently is a Distinguished Professor and holds the Wilson and Marie Collins Professorship in Engineering. His research interests include Geometric Deep Learning, Geometric Statistics, Medical Image Computing, Computer Vision, Machine Learning and Information Geometry. He has published over 200 refereed journal and conference articles in the aforementioned areas and received several best paper awards. He has served as a program chair and area chair of several IEEE sponsored conferences. He was an associate editor for several area journals and is currently an associate editor for the journal of Information Geometry. Professor Vemuri is a recipient of the IEEE Computer Society’s Technical Achievement Award (2017) and is a fellow of the IEEE (2001) and the ACM (2009).</font></div></div><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="arial, sans-serif"> </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><font color="#000000" face="georgia, serif">*********************************************************************************************</font></b></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in 0in 8pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;line-height:15.6933px"><b><font face="arial, sans-serif" color="#000000">Presence at TTIC requires being fully vaccinated for COVID-19 or having a TTIC or UChicago-approved exemption. Masks are optional in all common areas. Full visitor guidance is available at <a href="http://ttic.edu/visitors" target="_blank">ttic.edu/visitors</a>.</font></b></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in 0in 12pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;line-height:15.6933px"><b><font face="arial, sans-serif" color="#000000">*********************************************************************************************</font></b></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><i><font face="arial, sans-serif" color="#000000">Research at TTIC Seminar Series</font></i></b></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="arial, sans-serif" color="#000000"> </font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" style="font-family:arial,sans-serif">TTIC is hosting a weekly seminar series presenting the research currently underway at the Institute. Every week a different TTIC faculty member will present their research.  The lectures are intended both for students seeking research topics and advisors and for the general TTIC and University of Chicago communities interested in hearing what their colleagues are up to.</font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" style="font-family:arial,sans-serif"><br></font></p><p class="MsoNormal" style="font-family:Arial,Helvetica,sans-serif;margin:0in;color:rgb(80,0,80);line-height:normal;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" style="font-family:arial,sans-serif"><br></font></p></div><div><br></div>-- <br><div dir="ltr" data-smartmail="gmail_signature"><div dir="ltr"><b style="background-color:rgb(255,255,255)"><font color="#3d85c6">Brandie Jones </font></b><div><div><i><b style="background-color:rgb(255,255,255)"><font color="#3d85c6">Administrative Assistant</font></b></i></div><div><span style="background-color:rgb(255,255,255)"><font color="#3d85c6">Toyota Technological Institute</font></span></div><div><span style="background-color:rgb(255,255,255)"><font color="#3d85c6">6045 S. Kenwood Avenue</font></span></div><div><span style="background-color:rgb(255,255,255)"><font color="#3d85c6">Chicago, IL  60637</font></span></div></div><div><span style="background-color:rgb(255,255,255)"><font color="#3d85c6"><a href="http://www.ttic.edu" target="_blank">www.ttic.edu</a> </font></span></div><div><span style="background-color:rgb(255,255,255)"><font color="#3d85c6"><br></font></span></div><div><font color="#3d85c6"><div style="background-color:rgb(238,238,238)">Working Remote on Tuesdays</div></font></div></div></div></div>