The Center for Constructive Approximation comprises faculty, students, and visiting researchers working in Approximation Theory and related areas in Analysis, Spline and Wavelet Theory, and Numerical Analysis. The list of people includes: Akram Aldroubi, Doug Hardin, Mike Neamtu, Alex Powell, Ed Saff, Larry Schumaker, and also other faculty with interest in this general area. The Center also houses the editorial headquarters of Constructive Approximation, an international journal for approximations and expansions.
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Constructive Approximation Ranks 10th
Out of 277 Math Journals
Constructive Approximation, the internationally recognized mathematics journal headquartered in the Vanderbilt Department of Mathematics, recently was ranked 10th out of 277 mathematics journals by Journal Citation Reports.
Journal Citation Reports ranks mathematics and other scientific journals based on the frequency of citations in other scientific journals and books in the same field. Based on the most recent data (2010), Constructive Approximation is ranked 10th based on its Impact Factor of 1.961. A journal's Impact Factor is determined by the number of citations and article counts (for the preceding two years), which are important indicators of how frequently current researchers are using individual journals.
Constructive Approximation is published and distributed internationally by Springer, with the editorial office located here at Vanderbilt in the Center for Constructive Approximation within the Department of Mathematics. The journal deals with mathematical approximations and expansions and related research in computation, function theory, functional analysis, interpolation spaces and interpolation of operators, numerical analysis, space of functions, special functions, and applications.
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CA Editor Emmanuel Candes
Wins $500,000 NSF Award
The National Science Foundation has chosen CA Editorial Board Member Emmanuel J. Candes, a professor of applied and computational mathematics at the California Institute of Technology, as the winner of the Alan T. Waterman Award for 2006. The award is given annually to a young researcher not more than 35 years old. It carries a $500,000 award for continued research.
Candes, 35, was selected for his work in harmonic analysis. NSF officials cited his development of new mathematical tools that allow efficient digital representation of wave signals and his discovery of new, improved methods for translating analog data into digital form. His work has the potential to improve the digital processing of signals in a vast array of modern technologies, including electronic devices, medical technology, aircraft safety, and DNA analysis.
More Information: NSF Website
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CA Editors Among
ICM Plenary Speakers
Two members of the Editorial Board of Constructive Approximation have been invited as plenary speakers at the International Congress of Mathematicians (ICM) in Madrid, Spain in August 2006. Percy Deift, of the Courant Institute of Mathematical Sciences at New York University, and Ronald DeVore of the University of South Carolina in Columbia, South Carolina, will present ICM plenary talks on their work.
Held once every four years, the ICM brings together mathematicians from all over the world to discuss the latest developments in all areas of mathematics. An invitation to be a plenary speaker there is among the highest honors a mathematician can receive.
Deift's research interests are in spectral theory, inverse spectral theory, integrable systems, and numerical linear algebra.
DeVore's research interests are nonlinear approximation, wavelets, and learning theory. He is a co-founder of Constructive Approximation journal.
More Information: ICM 2006 Website
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Schumaker Elected to
Norwegian Academy of Science and Letters
Professor Larry Schumaker, a member of the Center for Constructive Approximation and a member of the editorial board of Constructive Approximation, has been elected a foreign member of the Norwegian Academy of Science and Letters. Founded in 1857, the Academy is a non-governmental interdisciplinary body whose purpose is the advancement of science and scholarship in Norway. Prof. Schumaker has strong ties to the Norwegian mathematics community.
More Information: News Article
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Constructive Approximation Journal Announces
Special Issue on Mathematical Learning Theory
Learning theory is a part of statistical estimation which studies efficient algorithms for machine learning. It has a major interplay between probability and approximation. Because of its increasing importance in several application domains, Constructive Approximation anounces a Special Issue which will be devoted to mathematical and numerical aspects of learning based on methods of approximation. It is hoped that this Special Issue will foster research in the foundations of learning theory.
The Special Issue editors for this issue are Ronald DeVore, University of South Carolina, (devore@math.sc.edu) and Gabor Lugosi, Pompeu Fabra University, Barcelona (lugosi@upf.es). The issue is expected to appear in the Fall of 2007.
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CCA Members' Research
Featured on Notices Cover
A paper by two members of the Center for Constructive Approximation was the featured cover article in the November 2004 issue of the Notices of the American Mathematical Society. "Discretizing Manifolds via Minimum Energy Points," by Professors Doug Hardin and CCA Director Edward Saff, describes the authors' recent discoveries regarding the asymptotics of optimal Riesz energy configurations. Their work appeared in detail in "Minimal Riesz Energy Point Configurations for Rectifiable d-Dimensional Manifolds," Advances in Mathematics, Vol. 193, No. 1 (2005), pp. 174-204.
The illustration on the November Notices cover shows 1,000 points on a torus distributed so as to minimize various Riesz potentials 1/rs. As explained in the article, the limit distribution as the number of points becomes infinite is, remarkably, just the uniform distribution for all values of s greater than or equal to 2 (the dimension of the torus).
More Information: Explorations Article
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Special Year in Approximation Brings International Focus
To Approximation Theory
The Center for Constructive Approximation recently observed the Special Year in Approximation, 13 months of workshops, conferences and seminars focusing on approximation theory and related areas. The Special Year in Approximation activities extended from May 2003 to May 2004 and attracted leading researchers from around the world. The purpose of the Special Year was to bring together researchers from diverse areas of approximation theory, to stimulate international collaboration in the field, and to promote interaction and the exchange of ideas.
More Information: Special Year Website
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Advances in Constructive Approximation Conference Proceedings Published
The Proceedings of the Advances in Constructive Approximation Conference held at Vanderbilt University May 14-17, 2003 have recently been published by Nashboro Press. Advances in Constructive Approximation, Vanderbilt 2003 is edited by Vanderbilt University Mathematics Professors Mike Neamtu and Edward B. Saff.
The 533-page volume contains papers based on the invited lectures at the conference, along with refereed research papers representing major areas of active research in approximation theory.
More Information: Proceedings Website
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Proceedings of the Gatlinburg Conference on Approximation Theory Published
The Proceedings of the Gatlinburg Conference on Approximation Theory held in Gatlinburg May 18 - 22, 2004 have recently been published by Nashboro Press. The Gatlinburg Conference on Approximation Theory,Gatlinburg 2004 is edited by Vanderbilt University Mathematics Professors Mike Neamtu, Larry Schumaker and Standord Professor Charles Chui.
More Information: Proceedings Website
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