Charles Anthony Micchelli
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Charles Anthony Micchelli (born December 22, 1942) is an American mathematician, with an international reputation in
numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...
,
approximation theory In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characteri ...
, and
machine learning Machine learning (ML) is a field of study in artificial intelligence concerned with the development and study of Computational statistics, statistical algorithms that can learn from data and generalise to unseen data, and thus perform Task ( ...
.


Biography

As the youngest of four children, he was born into an Italian-American family in
Newark, New Jersey Newark ( , ) is the List of municipalities in New Jersey, most populous City (New Jersey), city in the U.S. state of New Jersey, the county seat of Essex County, New Jersey, Essex County, and a principal city of the New York metropolitan area. ...
. After graduating from Newark's East Side High School, he attended
Rutgers University–New Brunswick Rutgers University–New Brunswick is one of three regional campuses of Rutgers University, a public land-grant research university consisting of four campuses in New Jersey. It is located in New Brunswick and Piscataway. It is the oldest campu ...
, where he graduated in 1964 with a bachelor's degree in mathematics. He then became a graduate student at
Stanford University Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...
. After taking a course on
Chebyshev polynomials The Chebyshev polynomials are two sequences of orthogonal polynomials related to the cosine and sine functions, notated as T_n(x) and U_n(x). They can be defined in several equivalent ways, one of which starts with trigonometric functions: ...
taught by
Gábor Szegő Gábor Szegő () (January 20, 1895 – August 7, 1985) was a Hungarian-American mathematician. He was one of the foremost mathematical analysts of his generation and made fundamental contributions to the theory of orthogonal polynomials and ...
, he became interested in approximation theory. Micchelli graduated in 1969 with a PhD from Stanford University. (in Spanish) His PhD thesis ''Saturation Classes and Iterates of Operators'' was supervised by
Samuel Karlin Samuel Karlin (June 8, 1924 – December 18, 2007) was an American mathematician at Stanford University in the late 20th century. Education and career Karlin was born in Janów, Poland and immigrated to Chicago as a child. Raised in an Orthodo ...
. Influenced by
Gene Golub Gene Howard Golub (February 29, 1932 – November 16, 2007), was an American numerical analyst who taught at Stanford University as Fletcher Jones Professor of Computer Science and held a courtesy appointment in electrical engineering. Personal ...
and recognizing the growing importance of computers and numerical analysis, Micchelli accepted a postgraduate invitation at the
Uppsala University Uppsala University (UU) () is a public university, public research university in Uppsala, Sweden. Founded in 1477, it is the List of universities in Sweden, oldest university in Sweden and the Nordic countries still in operation. Initially fou ...
's computer sciences department. On his return to Stanford University he met IBM researcher Theodore J. Rivlin, who was visiting Karlin and Golub. Rivlin recruited Micchelli to become a researcher for the mathematical sciences department of the
Thomas J. Watson Research Center The Thomas J. Watson Research Center is the headquarters for IBM Research. Its main laboratory is in Yorktown Heights, New York, 38 miles (61 km) north of New York City. It also operates facilities in Cambridge, Massachusetts and Albany, ...
. There Micchelli did research from 1970 to 2000 and was a visiting professor at more than twenty universities in various countries, including in Israel, Sweden, Italy, Germany, the United Kingdom, Belgium, Chile, the United States, Spain, Canada, and Singapore. In 2000 he retired as an emeritus of IBM and became a professor of mathematics at the
University at Albany, SUNY The State University of New York at Albany (University at Albany, UAlbany, or SUNY Albany) is a Public university, public research university in Albany, New York, United States. Founded in 1844, it is one of four "university centers" of the St ...
. He retired in 2016. Micchelli is the author or co-author of more than 275 research publications and is on the list of ISI's Highly Cited Researchers. He has made contributions to the theory of
total positivity In mathematics, a totally positive matrix is a square matrix in which all the minors are positive: that is, the determinant of every square submatrix is a positive number. A totally positive matrix has all entries positive, so it is also a posit ...
, multivariate splines, refinability,
geometric modeling __NOTOC__ Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes. The shapes studied in geometric modeling are mostly two- or three-dimensi ...
,
wavelet A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the n ...
s,
interpolation In the mathematics, mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science, one ...
by
radial function In mathematics, a radial function is a real-valued function defined on a Euclidean space whose value at each point depends only on the distance between that point and the origin. The distance is usually the Euclidean distance. For example, a ra ...
s,
neural network A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either biological cells or signal pathways. While individual neurons are simple, many of them together in a network can perfor ...
s, and
machine learning Machine learning (ML) is a field of study in artificial intelligence concerned with the development and study of Computational statistics, statistical algorithms that can learn from data and generalise to unseen data, and thus perform Task ( ...
theory. In 1974 I. J. Schoenberg presented a new approach to Micchelli's theory of cardinal L-splines. In 1983 Micchelli was an invited speaker at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...
in Warsaw. Through his numerous research stays at universities, conferences, invitations and even family trips, Micchelli has traveled throughout the world many times, At a mathematical congress, at the
Oberwolfach Research Institute for Mathematics The Oberwolfach Research Institute for Mathematics () is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and ...
, he began his relationship with the
University of Zaragoza The University of Zaragoza, sometimes referred to as Saragossa University () is a public university with teaching campuses and research centres spread over the three provinces of Aragon (Spain). Founded in 1542, it is one of the List of oldest u ...
(UNIZAR) through a meeting with Professor Mariano Gasca from UNIZAR's department of applied mathematics. Micchelli was on sabbatical at UNIZAR for the academic year 1988–1989 and with Gasca was the co-director in 1989 of a NATO Advanced Study Institute on Computation of Curves and Surfaces in
Puerto de la Cruz Puerto de la Cruz is a city and municipality in the northern part of the island of Tenerife, Canary Islands, Spain. It was formerly known by its English translation, "Port of the Cross", although now it is known by its Spanish name in all langu ...
,
Tenerife Tenerife ( ; ; formerly spelled ''Teneriffe'') is the largest and most populous island of the Canary Islands, an Autonomous communities of Spain, autonomous community of Spain. With a land area of and a population of 965,575 inhabitants as of A ...
from July 10 to 21, 1989. Since then, especially in the 1990s, Micchelli has repeatedly visited and contributed academically to UNIZAR, which awarded him an honorary doctorate in 1994. Starting an organizational effort in 1991, Micchelli was one the founding editors of the journal ''Advances in Computational Mathematics'' (with first issue in February 1993) and became the founding co-editor-in-chief with John Charles Mason (1941–2016). Micchelli has also served on the editorial boards of several other international journals. In 1965 he married his wife Patricia, who was his schoolmate since childhood. They have two children. In 2006 Craig A. Micchelli joined the faculty of the department of developmental biology at
Washington University School of Medicine Washington University School of Medicine (WashU Medicine) is the medical school of Washington University in St. Louis, located in the Central West End neighborhood of St. Louis, Missouri. Founded in 1891, the School of Medicine shares a ca ...
in St. Louis.


Selected publications


Articles

* * * * * * * * * * (over 2160 citations) * * * * * * * * * * * (over 520 citations) * (over 980 citations) * * * *


Books

* * *


As editor

* * (originally published in 1996 by
Kluwer Academic Publishers Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in ...
)


References

{{DEFAULTSORT:Micchelli, Charles Anthony 1942 births Living people 20th-century American mathematicians 21st-century American mathematicians Approximation theorists American mathematical analysts Numerical analysts People from Newark, New Jersey East Side High School (Newark, New Jersey) alumni Rutgers University alumni Stanford University School of Humanities and Sciences alumni IBM employees University at Albany, SUNY faculty American people of Italian descent Washington University School of Medicine faculty