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The moment-SOS hierarchy : = lecture...

Henrion, D.

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The moment-SOS hierarchy : = lectures in probability, statistics, computational geometry, control and nonlinear PDEs /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The moment-SOS hierarchy :/ Didier Henrion, Milan Korda, Jean B. Lasserre.
Reminder of title:	lectures in probability, statistics, computational geometry, control and nonlinear PDEs /
Author:	Henrion, D.
other author:	Korda, Milan,
Published:	New Jersey :World Scientific, : c2021.,
Description:	xvii, 229 p. :ill. (some col.) ;24 cm.
[NT 15003449]:	Notation, definitions and preliminaries -- Principle of the moment-SOS hierarchy -- Volume and Gaussian measure of semi-algebraic sets -- Lebesgue decomposition of a measure -- Super resolution on semi-algebraic domains --Space polynomial interpolation -- Representation of (probabilistic) chance-constraints -- Approximate optimal design -- Optimal control --Convex computation of region of attraction and reachable set -- Nonlinear partial differential equations -- Miscellaneous.
Subject:	Mathematical optimization. -
ISBN:	9781786348531

The moment-SOS hierarchy : = lectures in probability, statistics, computational geometry, control and nonlinear PDEs /
Henrion, D.

The moment-SOS hierarchy :lectures in probability, statistics, computational geometry, control and nonlinear PDEs /Didier Henrion, Milan Korda, Jean B. Lasserre. - New Jersey :World Scientific,c2021. - xvii, 229 p. :ill. (some col.) ;24 cm. - Series on optimization and its applications,vol. 42399-1593 ;.

Includes bibliographical references and index.

Notation, definitions and preliminaries -- Principle of the moment-SOS hierarchy -- Volume and Gaussian measure of semi-algebraic sets -- Lebesgue decomposition of a measure -- Super resolution on semi-algebraic domains --Space polynomial interpolation -- Representation of (probabilistic) chance-constraints -- Approximate optimal design -- Optimal control --Convex computation of region of attraction and reachable set -- Nonlinear partial differential equations -- Miscellaneous.

"It covers applications of a very different nature in a unified mannerwith an appropriate level of details for a general audience. For all theseapplications (not covered in previous books of the third author), thismethodology is new and unconventional. All three authors are well-respected researchers in control and applied mathematics"--

ISBN: 9781786348531US88

LCCN: 2020030585Subjects--Topical Terms:

517763
Mathematical optimization.

LC Class. No.: QA402.5 / .H456 2021

Dewey Class. No.: 519.6

The moment-SOS hierarchy : = lectures in probability, statistics, computational geometry, control and nonlinear PDEs /
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020 $a 9781786348531 $q (hbk.) : $c US88
020 $z 9781786348548 $q (ebook)
040 $a LBSOR/DLC $b eng $c DLC
042 $a pcc
050 0 0 $a QA402.5 $b .H456 2021
082 0 0 $a 519.6 $2 23
100 1 $a Henrion, D. $q (Didier), $e author. $3 3565429
245 1 4 $a The moment-SOS hierarchy : $b lectures in probability, statistics, computational geometry, control and nonlinear PDEs / $c Didier Henrion, Milan Korda, Jean B. Lasserre.
260 # $a New Jersey : $b World Scientific, $c c2021.
300 $a xvii, 229 p. : $b ill. (some col.) ; $c 24 cm.
490 0 $a Series on optimization and its applications, $x 2399-1593 ; $v vol. 4
504 $a Includes bibliographical references and index.
505 0 # $a Notation, definitions and preliminaries -- Principle of the moment-SOS hierarchy -- Volume and Gaussian measure of semi-algebraic sets -- Lebesgue decomposition of a measure -- Super resolution on semi-algebraic domains --Space polynomial interpolation -- Representation of (probabilistic) chance-constraints -- Approximate optimal design -- Optimal control --Convex computation of region of attraction and reachable set -- Nonlinear partial differential equations -- Miscellaneous.
520 # $a "It covers applications of a very different nature in a unified mannerwith an appropriate level of details for a general audience. For all theseapplications (not covered in previous books of the third author), thismethodology is new and unconventional. All three authors are well-respected researchers in control and applied mathematics"-- $c Provided by publisher.
650 # 0 $a Mathematical optimization. $3 517763
650 # 0 $a Moment problems (Mathematics) $3 706589
650 # 0 $a Optimal designs (Statistics) $3 647879
650 # 0 $a Probabilities. $3 518889
650 # 0 $a Programming (Mathematics) $3 547124
700 1 # $a Korda, Milan, $e author. $3 3565430
700 1 # $a Lasserre, Jean-Bernard, $d 1953- $e author. $3 3565297