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03118aam a2200433 i 4500 001 5FDF7A84F4E911EBA186761358ECA4DB 003 SILO 005 20210804010022 008 200524t20202020riua b 001 0 eng 010 $a 2020012201 020 $a 1470450259 020 $a 9781470450250 035 $a (OCoLC)1157604983 040 $a LBSOR/DLC $b eng $e rda $c DLC $d OCLCO $d OCLCF $d YDX $d MTG $d UKMGB $d MUB $d IWA $d SILO 042 $a pcc 110 2 $a American Mathematical Society. $b Short Course, Sum of Squares : Theory and Applications $d (2019 : $c Baltimore, Maryland) $e author. 245 10 $a Sum of squares : $b theory and applications : AMS short course, Sum of Squares : Theory and Applications, January 14-15, 2019, Baltimore, Maryland / $c Pablo A. Parrilo, Rekha R. Thomas, editors. 264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2020] 300 $a vii, 142 pages : $b illustrations (some color) ; $c 26 cm. 490 1 $a Proceedings of symposia in applied mathematics, $x 0160-7634 ; $v volume 77 500 $a "This volume is based on lectures delivered at the 2019 AMS Short Course "Sum of Squares: Theory and Applications", held January 14-15, 2019, in Baltimore, Maryland"-- back cover. 504 $a Includes bibliographical references and index. 505 0 $a A brief introduction to sums of squares / Grigoriy Blekherman -- The geometry of spectrahedra / Cynthia Vinzant -- Lifts of convex sets / Hamza Fawzi -- Algebraic geometry and sums of squares / Mauricio Velasco -- Sums of squares in theoretical computer science / Ankur Moitra -- Applications of sums of squares / Georgina Hall. 520 $a This book provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science. The six chapters introduce and survey recent developments in this area; specific topics include the algebraic and geometric aspects of sums of squares and spectrahedra, lifted representations of convex sets, and the algorithmic and computational implications of viewing sums of squares as a meta algorithm. The book also showcases practical applications of the techniques across a variety of areas, including control theory, statistics, finance and machine learning. 650 0 $a Polynomials. 650 0 $a Convex geometry. 650 0 $a Convex sets. 650 0 $a Geometry, Algebraic. 650 0 $a Semidefinite programming. 650 0 $a Mathematical optimization. 700 1 $a Parrilo, Pablo A., $e editor. 700 1 $a Thomas, Rekha R., $d 1967- $e editor. 773 18 $w 990002434350102756 $t Proceedings of symposia in applied mathematics $g no:v. 77 830 0 $a Proceedings of symposia in applied mathematics $v v. 77. 941 $a 2 952 $l OVUX522 $d 20220317015942.0 952 $l USUX851 $d 20210804012921.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=5FDF7A84F4E911EBA186761358ECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search