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<h1 class=""><span style="font-size:16.0pt;font-family:"Times New Roman",serif;
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<h1 align="left" style="margin-left: 1.5in; text-indent: 0.5in;" class=""><span style="font-size:16.0pt;font-family:"Times New Roman",serif;mso-color-alt:windowtext" class="">The
University of Chicago<o:p class=""></o:p></span></h1>
<h1 class=""><span style="font-size:16.0pt;font-family:"Times New Roman",serif;
mso-color-alt:windowtext" class="">Department of Computer Science & Mathematics<o:p class=""></o:p></span></h1>
<h1 class=""><span style="font-size:16.0pt;font-family:"Times New Roman",serif;
mso-color-alt:windowtext" class="">Combinatorics & Theory Seminar <o:p class=""></o:p></span></h1><p class="MsoNormal"><b class=""><span style="font-size:16.0pt;font-family:"Times New Roman",serif;color:maroon" class=""> </span></b></p><p class="MsoNormal" style="margin-left:2.0in;text-indent:.5in"><b class=""><span style="font-size: 16pt; font-family: "Times New Roman", serif;" class=""> PRESENTS:<o:p class=""></o:p></span></b></p><p class="MsoNormal"> <o:p class=""></o:p></p><p class="MsoNormal"> <o:p class=""></o:p></p><p class="MsoNormal"> <span style="mso-bidi-font-size:12.0pt;
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</v:shape><![endif]--><!--[if !vml]--><img alt="This is me!" v:shapes="Picture_x0020_3" apple-inline="yes" id="F06F1836-BE8E-42DC-95EB-7B23B0B9E7B6" src="cid:clip_image001.jpg" class=""><!--[endif]--></span><o:p class=""></o:p></p><p class="MsoNormal"><span style="mso-bidi-font-size:12.0pt;font-family:"Times New Roman",serif" class=""> </span></p><p class="MsoNormal"> <b class=""><span style="font-size: 14pt;" class="">Sushant Sachdeva</span></b><o:p class=""></o:p></p><p class="MsoNormal"><b class=""><span style="font-size: 14pt;" class=""> University of Toronto<o:p class=""></o:p></span></b></p><p class="MsoNormal"><span style="mso-bidi-font-size:12.0pt;font-family:Helvetica;
color:maroon" class="">
</span><span style="font-family: Helvetica;" class=""><a href="http://www.cs.toronto.edu/~sachdeva/" class="">http://www.cs.toronto.edu/~sachdeva/</a></span><span style="font-family: "Times New Roman", serif;" class=""><o:p class=""></o:p></span></p><p class="MsoNormal" align="center" style="text-align:center"><span style="mso-bidi-font-size:12.0pt;font-family:"Times New Roman",serif" class=""> </span></p><p class="MsoNormal" style="text-align:justify"><b class=""><span style="font-size: 14pt; font-family: "Times New Roman", serif;" class="">Title:</span></b><span style="font-size: 14pt; font-family: "Times New Roman", serif;" class=""> “Iterative Refinement for p-norms</span><span style="font-size: 14pt; font-family: "Times New Roman", serif;" class="">”<o:p class=""></o:p></span></p><p class="MsoNormal"><span style="font-size: 14pt; font-family: "Times New Roman", serif;" class=""> </span></p><p class="MsoNormal" style="text-align:justify"><b class=""><span style="font-size:14.0pt;
font-family:"Times New Roman",serif" class="">Abstract:</span></b><span style="font-size:14.0pt;font-family:"Times New Roman",serif;color:#212121;
background:white" class=""> </span><span style="font-family: Arial, sans-serif; background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">In the current optimization
literature, for several convex programs, it is significantly faster to obtain
O(1)-approximate solutions as compared to high accuracy
(1+1/poly(n))-approximate solutions. This gap is reflected in the differences
between interior point methods vs. (accelerated) gradient descent for
regression problems, and between exact vs. approximate undirected max-flow. One
exception has been L2-regression, where an algorithm for computing an
approximate solution can be converted into a high-accuracy solution via
iterative refinement. In this talk, we will present generalizations of
iterative refinement to p-norms. This leads to algorithms that produce high
accuracy solutions by crudely solving only a polylogarithmic number of residual
problems. I will also discuss several results that build on this new approach
to high-accuracy algorithms, including p-norm regression using m^{1/3} linear
system solves, and p-norm flow in undirected unweighted graphs in almost-linear
time. <o:p class=""></o:p></span></p><p class="MsoNormal" style="text-align:justify"><span style="font-family: Arial, sans-serif; background-color: white; background-position: initial initial; background-repeat: initial initial;" class=""><o:p class=""> </o:p></span></p><p class="MsoNormal" style="text-align:justify"><span style="font-family: Arial, sans-serif; background-color: white; background-position: initial initial; background-repeat: initial initial;" class="">This talk
will be based on joint works with Deeksha Adil, Richard Peng, Rasmus Kyng, and
Di Wang. </span><span style="mso-bidi-font-size:12.0pt;font-family:"Times New Roman",serif" class=""><o:p class=""></o:p></span></p><p class="MsoNormal" style="text-align:justify"><span style="font-size:14.0pt;
font-family:"Times New Roman",serif" class=""> </span></p><p class="MsoNormal" style="text-align:justify"><span style="font-size:14.0pt;
font-family:"Times New Roman",serif" class="">Host: Prof. Madhur Tulsiani<o:p class=""></o:p></span></p><p class="MsoNormal" style="margin-left:2.0in"><span style="font-size: 14pt; font-family: "Times New Roman", serif;" class=""> <o:p class=""></o:p></span></p><p class="MsoNormal" style="margin-left:2.0in"><span style="font-size:14.0pt;
font-family:"Times New Roman",serif" class="">Tuesday, February 12, 2019<o:p class=""></o:p></span></p><p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Times New Roman",serif" class=""> Ry.
251 @ 3:30 pm<o:p class=""></o:p></span></p><p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:14.0pt;font-family:"Times New Roman",serif" class="">(Refreshments will
be served prior to the talk in Ry. 255 @ 3:15pm)<o:p class=""></o:p></span></p><p class="MsoNormal"><o:p class=""> </o:p></p><p class="MsoNormal"><o:p class=""> </o:p></p>
<!--EndFragment--><div class="">
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font-family: Helvetica; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-position: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; font-size: 11px;"></p><div style="color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-position: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px;" class=""><div class=""><p class="MsoNormal" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;"><b class=""><font size="4" class="">Donna Brooms-Blue</font></b></p><br class="Apple-interchange-newline" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; text-decoration: none;"><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; text-decoration: none;"><span><span><img apple-inline="yes" id="BD8A265E-9354-45AC-B029-62BE182086E6" src="cid:E864EB6F-E291-4290-A25E-EB2464E6444D" class=""></span><div style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; text-decoration: none;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;"><b style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><br class=""></b><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class="">Department Secretary</span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class="">Computer Science Department</span></span></div><div style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; text-decoration: none;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">John Crerar Library Building<br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class="">5730 So. Ellis Ave.</span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class="">Chicago, IL. 60637</span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class="">(773) 702-6614 - Office</span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class="">(773) 702-8487 - Fax</span><br style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal;" class=""><span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-variant-ligatures: normal; font-variant-east-asian: normal; font-variant-position: normal; line-height: normal; float: none; display: inline !important;" class=""><a href="mailto:donna@cs.uchicago.edu" class="">donna@cs.uchicago.edu</a></span></span></div>
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