Roger J-B Wets
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Roger Jean-Baptiste Robert Wets (born February 1937) is a "pioneer" in stochastic programming and a leader in
variational analysis In mathematics, the term variational analysis usually denotes the combination and extension of methods from convex optimization and the classical calculus of variations to a more general theory. This includes the more general problems of optimizati ...
who publishes as Roger J-B Wets. His research, expositions, graduate students, and his collaboration with R. Tyrrell Rockafellar have had a profound influence on optimization theory, computations, and applications. Since 2009, Wets has been a distinguished research professor at the mathematics department of the
University of California, Davis The University of California, Davis (UC Davis, UCD, or Davis) is a public land-grant research university near Davis, California. Named a Public Ivy, it is the northernmost of the ten campuses of the University of California system. The inst ...
.


Schooling and positions

Roger Wets attended high school in Belgium, after which he worked for his family while earning his '' Licence'' in applied economics from Université de Bruxelles (Brussels, Belgium) in 1961. He was encouraged by Jacques H. Drèze to study
optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
with
George Dantzig George Bernard Dantzig (; November 8, 1914 – May 13, 2005) was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his ...
at the program in operations research at the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
. Dantzig and mathematician–statistician David Blackwell jointly supervised Wets's dissertation.Programming under uncertainty
(1965) Wets, Roger Jean-Baptiste Robert. Abstract Thesis (PhD in Engineering Science)--Univ. of California, Jan. 1965. Bibliography: l. 81-88. Publisher erkeleyRepository OCLC's Experimental Thesis Catalog (United States)
In 1965 Wets befriended R. Tyrrell Rockafellar, whom Wets introduced to stochastic optimization, starting a collaboration of many decades. He worked at Boeing Scientific Research Labs, 1964–1970 and was Ford Professor at the University of Chicago, 1970–1972 before being appointed Professor at the Mathematics Department of the University of Kentucky and then University Research Professor (1977–78). While at the
International Institute for Applied Systems Analysis The International Institute for Applied Systems Analysis (IIASA) is an independent international research institute located in Laxenburg, near Vienna, in Austria. Through its research programs and initiatives, the institute conducts policy-o ...
(IIASA) in Austria, during 1980–1984, he led research in decision-making in uncertainty, returning as an acting leader in 1985–1987; during that time, Wets and Rockafellar developed the progressive-hedging algorithm for stochastic programming. The University of California, Davis named him Professor (1984–1997), Distinguished Professor, and Distinguished Research Professor of Mathematics (2009–).


Awards and contributions

Wets was awarded a George B. Dantzig Prize for "original research that has had a major impact on the field of mathematical programming" by the Society for Industrial and Applied Mathematics (SIAM) and the Mathematical Programming Society (MPS, now the Mathematical Optimization Society). In 1994, the Dantzig Prize was awarded to Wets and also to the French pioneer in nonsmooth computational-optimization,
Claude Lemaréchal Claude Lemaréchal is a French applied mathematician, and former senior researcher (''directeur de recherche'') at INRIA near Grenoble, France. In mathematical optimization, Claude Lemaréchal is known for his work in numerical methods for non ...
. Wets's contributions included developing set-valued analysis, including
metric space In mathematics, a metric space is a set together with a notion of '' distance'' between its elements, usually called points. The distance is measured by a function called a metric or distance function. Metric spaces are the most general set ...
s of sets, which he used to study the
convergence Convergence may refer to: Arts and media Literature *''Convergence'' (book series), edited by Ruth Nanda Anshen *Convergence (comics), "Convergence" (comics), two separate story lines published by DC Comics: **A four-part crossover storyline that ...
of epigraphs; Wets's ideas of epigraphical convergence was used to study the convergence
iterative method In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the ''n''-th approximation is derived from the pr ...
s of stochastic optimization and has had applications in the approximation theory of statistics. A metric theory of finite-dimensional epigraphical convergence ("cosmic convergence") appears in ''Variational analysis''. Wets and his coauthor R. Tyrrell Rockafellar were awarded the 1997 Frederick W. Lanchester Prize by the Institute for Operations Research and the Management Sciences (INFORMS) for their monograph ''Variational Analysis'', which was published in November 1997 and copyrighted in 1998. With Rockafellar, Wets proposed, studied, and implemented the progressive-hedging algorithm for stochastic programming. Besides his theoretical and computational contributions, Wets has worked with applications on lake ecology (IIASA), finance (Frank Russel investment system), and developmental economics (World Bank). He also consulted with the development of professional stochastic-optimization software (IBM).


See also

* Pompeiu–Hausdorff distance


References


Sources

* * * * * * * *


External links


Homepage of Roger J-B Wets
at the Mathematics Department of the University of California, Davis. Contains biography, research overviews, lectures and presentations. {{DEFAULTSORT:Wets, Roger J-B Variational analysts Mathematical analysts 20th-century Belgian mathematicians 21st-century American mathematicians Belgian operations researchers American statisticians Belgian statisticians Living people 1937 births Place of birth missing (living people) American operations researchers