Xingping Sun 901 S
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Xingping Sun 901 S. National Avenue, Springfield, MO 65897 (417) 836-6935 [email protected] http://math.missouristate.edu/xsun.aspx RESEARCH INTERESTS Approximation Theory, Machine Learning, Radial Basis Functions EDUCATION Ph.D. in Mathematics University of Texas at Austin 1990 M.S. in Mathematics Northwestern University (China) 1984 B.S. in Mathematics Henan Normal University (China) 1981 PROFESSIONAL EXPERIENCES Professor Missouri State University 2000 - Present Visiting Professor Texas A & M University 2009 -2010 Visiting Professor Vanderbilt University Spring 2003 Visiting Professor University of Leicester (UK) Summer 2003 Associate Professor Missouri State University 1995 - 2000 Visiting Associate Prof. University of Texas at Austin 1996 Assistant Professor S.W. Missouri State University 1990 - 1995 Visiting Research Fellow University of Leicester (UK) 1993 Teaching Assistant University of Texas at Austin 1986 - 1990 Instructor Henan Normal University (China) 1985 - 1986 ADMINISTRATIVE EXPERIENCES • 2012 - 2015, Associate Dean, College of Natural and Applied Sciences, Missouri State University. • 2011 - 2012, Interim Associate Dean, College of Natural and Applied Sciences, Missouri State University. AWARDS AND GRANTS 1. Visiting Fellowship Research Grant, $4,640 Science and Engineering Research Council of Great Britain, (1993). 2. Missouri State University Faculty Summer Research Fellowship Award, $4,000 (1994). 3. Visiting Fellowship Research Grant, The S~aoPaulo Research Foundation, $5,500 (1994). 4. Visiting Fellowship Research Grant, $2,240 Engineering and Physical Sciences Research Council of Great Britain, (1995). 1 5. Missouri State University Foundation Excellence in Research Award, $2,400 (1996) 6. Missouri State University Faculty Summer Research Fellowship Award, $ 5,000 (1997). 7. Missouri State University Faculty Research Grant, $5,500 (1999). 8. Missouri State University Faculty Summer Research Fellowship Award, $5,000 (2000). 9. Visiting Fellowship Research Grant, $15,240 Engineering and Physical Sciences Research Council of Great Britain, (2003-2005). 10. Missouri State University Faculty Summer Research Fellowship Award, $5,000 (2004). 11. Missouri State University Faculty Research Grant, $3,575 (2004). 12. Missouri State University Excellence in Research Award, $2,400 (2004). 13. Excellence in Teaching Award, $1,200 College of Natural and Applied Sciences, Missouri State University, (2006). 14. Short-Term Visiting Professor Award, $4,928, Fudan University, Shanghai, China, (2007). 15. Visiting Fellowship Research Grant, $8,750 Engineering and Physical Sciences Research Council of Great Britain, (2009) (PI: Jeremy Levesley; Co-PI: Wolfgang Castell and Xingping Sun). 16. Short-Term Visiting Professor Award, $4,928, Fudan University, Shanghai, China, (2010). 17. Missouri State University Faculty Summer Research Fellowship Award, $6,000 (2011). 18. National Science Foundation: Research Experience for Undergraduate Students, $297,000 (2012-2014) (with Les Reid and Jorge Rebaza). 19. The S~aoPaulo Research Foundation and ENAMA, $5,896, (2014). 20. Short-Term Visiting Professor Award, $4,928, Fudan University, Shanghai, China, (2015). 21. Short-Term Visiting Professor Award, $4,928, Fudan University, Shanghai, China, (2016). 22. National Science Foundation: Research Experience for Undergraduate Students, $297,000 (2016-2018) (with Les Reid, Jorge Rebaza, and Steven Senger). INVITED TALKS (SELECTED) 1. The solvability of radial basis function interpolation, in \The Sixth Texas International Sym- posium on Approximation Theory", College Station, TX, 1989. 2. Ridge functions and their application in multivariate interpolation, in \UT and Texas A&M Joint Conference on Approximation Theory", Center for Approximation Theory, Texas A&M University, 1989. 3. Interpolation by sums of ridge functions, Seminar, Center for Approximation Theory, Texas A&M University, 1989. 4. Multivariate interpolation using linear combinations of radial basis functions, in \The Sixth Conference of Southeast Approximators", Memphis State University, 1991. 5. Ridge function spaces and their interpolation property, in \The Seventh Texas International Symposium on Approximation Theory", Austin, Texas, 1992. 2 6. Analytic monotone extensions, in \The 873rd Regional Conference of American Mathematical Society", Springfield, MO, 1992. 7. Scattered Hermite interpolation by positive definite functions, Seminar, Department of Math- ematics and Computer Science, University of Leicester, Leicester, England, 1993. 8. Strictly positive definite functions on spheres, in \The International Conference on Constructive Approximation", Tel Aviv University, Tel Aviv, Israel, 1994. 9. Distance matrices and their applications, in \The International Conference on Differential Equations", University of Sao Paulo, Brazil, 1994. 10. Some newly developed interpolation methods, Colloquium, University of Strathclyde, Glasgow, Scotland, 1995. 11. Scattered Cardinal Hermite interpolation by positive definite functions, in \The 919th Meeting of American Mathematical Society", Memphis, Tennessee, 1997. 12. Strictly positive definite functions on the complex Hilbert sphere, in \The Ninth International Conference on Approximation Theory", Nashville, TN, 1998. 13. Strictly positive definite functions on spheres, in \The International Conference on Partial Differential Equations and Numerical Analysis", Beijing, China, 1998. 14. Positive definite functions and cubature formulas on spheres, in \The Fourth International Conference on Curves and Surfaces", Saint-Malo, France, July 1-7, 1999. 15. Positive definite functions on the circle, in \The First International Conference on Analysis and Combinatorics", Dalian, China, 2000. 16. Strictly positive definite functions on spheres of dimension greater than one, in \The Tenth International Conference on Approximation Theory", St. Louis, MO, 2001. 17. The structure of native spaces and their approximation property, in \The International Conference on Advances in Constructive Approximation", Nashville, TN, 2003. 18. Approximation between native spaces, Colloquium, University of Leicester, Leicester, England, 2003. 19. Minimal Riesz energy on spheres, Colloquium, University of Missouri-St. Louis, St. Louis, MO, 2004. 20. Approximation in native spaces, in \The Tenth International Conference on Approximation Theory", Gatlinburg, TN, 2004. 21. Minimal separation of the Riesz energy points, in \The Fourth International Workshop on Special Functions and Their Applications", Klobster, Irsee, Germany, 2004. 22. On the separation of the minimal energy points, Seminar, Texas A&M University, College Station, TX, 2005. 23. The discrepancy and minimum separation of the minimal energy points, Colloquium, The University of Texas at Austin, Austin, TX, 2005. 24. Native space approximation and its applications to uniform distributions on spheres, Collo- quium, Catholic University of Lueven, Lueven, Belgium, 2005. 25. Rough native space approximation and the estimates of discrepancy on spheres, Colloquium, University of Dundee, Dundee, Scotland, 2005. 3 26. Direct and inverse theorems of approximation in Sobolev spaces, Seminar, City University of Hong Kong, Hong Kong, China, 2006. 27. Radial basis function approximation and applications, in \The First International Summer School on Numerical Linear Algebra", The Chinese University of Hong Kong, Hong Kong, China, 2006. 28. Approximation of equilibrium measures via radial basis functions, Colloquium, Georgia South- ern University, March 2008. 29. Approximation of probability measures by normalized counting measures, in \Algorithms for Approximation VI", UK, August, 2009. 30. Approximation on the Voronoi cells of the Ad lattices, Colloquium, Institute of Software, Chinese Academy of Sciences, Beijing, China, August, 2010. 31. Minimal energy configurations on spheres, Colloquium, Department of Physics, Astronomy and Materials Science, Missouri State University, 2010. 32. Approximation Theory: Reproducing Kernel View Point, a Series of Three Seminars, Institute of Mathematical Sciences, China Jiliang University, 2011. 33. Sampling scattered data with Bernstein polynomials, in \The 14th International Conference on Approximation theory, San Antonio, 2013. 34. Approximation of equilibrium measures via multiplier embedding in native spaces, Approxi- mation Day, University of Sao Paulo, ICMC, Sao Carlos, Brazil, October, 2014. 35. Theories and Applications of Conditionally Positive Definite Functions, a Short Course Con- sisting of Three Lectures in the 8th Brazilian National Conference on Analysis and Its Ap- plications, November 5 - 7, 2014, Recife, Brazil. 36. Minimal energy point sets and sphere packing, Colloquium, China Jiliang University, Hangzhou, China, 2015. 37. Chebyshev type inequality for stochastic Bernstein polynomials, 30 mins Talk, Discrete and Continuous Dynamic Systems 2016, Orlando. 38. Minimal energy point set configurations and equilibrium measures on manifolds, Colloquium, Tianjin Polytechnic University, 2016. 39. Order statistics and stochastic Bernstein polynomials, Colloquium, Henan Normal University, 2017. 40. Monte Carlo approximation by Bernstein polynomials, invited talk in the Sixth International Conference on Computational Harmonic Analysis, Fudan University, Shanghai, China, 2017. 41. Sphere packing in higher dimensional spaces and minimal energy point set configurations, Colloquium, Henan University of Science and Technology, 2017. PUBLICATIONS 1. On a problem in monotone approximation,