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Proximity Algorithms for Solving Convex Optimization Problems in Signal and Image Processing
 

           Professor Yue-Sheng Xu

  Sun Yat-Sen University and Syracuse University (USA)

Abstract: We shall consider convex optimization problems in the context of signal and image processing. The solutions of the problems are characterized in terms of fixed-point equations via proximity operators of the non-differentiable convex functions appearing in the object function. Efficient iterative algorithms are developed based on the characterization. Convergence analysis will be discussed and numerical examples will be presented to demonstrate the efficiency and accuracy of the algorithms.

About the Speaker: Yue-Sheng Xu obtained his B.S. and M.S. degree in Computational Mathematics from the Sun Yat-Sen University in 1982, 1985 and his PhD degree from Old Dominion University in 1989. He was the Eberly Chair Professor of Applied Mathematics at West Virginia University from 2001 to 2003. He is now the professor of Department of Mathematics at Syracuse University, and School of Mathematics and Computational Sciences at Sun Yat-Sen University. His research interests include Numerical Analysis, Integral Equations, Wavelet Analysis, Image and Signal Processing and Computational Mathematics. He is the Managing Editor of “Advances in Computational Mathematics” and the Associate Editor of “Journal of Integral Equations and Applications”, “Journal of System Sciences and Mathematics”. Yue-Sheng Xu was elected the Professor of China “Recruitment Program of Global Experts” (2008), “ChangJiang Scholars Program” (2005) and Chinese Academy of Sciences “100 Talents Program”. He was awarded the Best Researcher of Science and Mathematics, and the Fred Waldron Award for Excellence in Research at North Dakota State University in 1998 and 1999.

Date&Time: October 22, 2012 (Monday) 10:30-11:30a.m.
Location: 606 Conference Room, No.3 Heqing Road, Haidian District

 

 



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