|November 2, 2016
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Prof. Dr. Anders Lindquist
Zhiyuan Chair Professor
Director, Center for Industrial and Applied Mathematics
|Time and Place:
|Wednesday, November 2, 2016, 2 p.m.
Lecture Room V9.01, Pfaffenwaldring 9, University of Stuttgart
Every 30 milliseconds, your mobile telephone computes a solution to the Carathéodory extension problem — a classical mathematical problem that dates back to the beginning of last century. In 1918, Schur presented a complete parameterization of all solutions to this problem, and the one used in speech processing for a “shaping filter” is called the maximumentropy solution. In theory, one could improve the quality of speech by choosing another solution, but a requirement on the complexity of the shaping filter renders the Schur parameterization useless and completely alters the underlying mathematical problem.
We present a new approach to speech processing which provides a paradigm that can also be applied to problems in system identification, robust control, image processing, etc. It allows for smooth tuning to specifications in a class of solutions with bounded complexity. The methodology employed is a combination of nonlinear analysis, geometry and optimization, but the talk will be given on a descriptive and rather nontechnical level.
Anders Lindquist is presently a distinguished Chair Professor at Shanghai Jiao Tong University in China and the Director of the Center for Industrial and Applied Mathematics at the Royal Institute of Technology (KTH), Stockholm, Sweden, after having had a full academic career in the United States. He was also the Head of the Mathematics Department at the KTH for ten years and a leading figure in the establishment of the field of control in Sweden. Because of his many seminal contributions to control, he received numerous highest-ranking awards—amongst others the honorary doctor’s degree at the Technion, Israel, and the 2009 Reid Prize in Mathematics from SIAM.
Lindquist is a Member of the Royal Swedish Academy of Engineering Sciences, a Foreign Member of the Chinese Academy of Sciences, a Foreign Member of the Russian Academy of Natural Sciences, an Honorary Member the Hungarian Operations Research Society, a Life Fellow of IEEE, a Fellow of SIAM, and a Fellow of IFAC.