ICMSAO-09 Tutorials

T.1 – Multi-objective Optimization with Engineering Applications

Professor Fouad Ben Abdelaziz ESM Program, CEN, AUS

In many Engineering real problems, as in project management or water resource management, more than one objective has to be considered for optimization. Such objectives, like cost, risk and reliability,  are generally conflicting and the improvement of one of them leads to the deterioration of the others.

In this tutorial, we introduce the concept of Multiobjective Optimization and the notion of Pareto Efficient solution.  We present how to generate some Pareto Solutions for the convex case and how to find all extreme efficient solutions for the linear case. The relation between the concept of efficient solution and the Decision Makers’ preference structure is explored and well known interactive methods are presented.

We also introduce main results for two special cases: the combinatorial Multiobjective Problem and the Stochastic Multiobjective Problem. Applications from Water resource management, Financial Engineering, project management  and other engineering applications will be presented.

Speaker Biography:

Dr. Fouad Ben Abdelaziz is a Senior Fulbrighter at the Rutgers Center for Operations Research, Rutgers University, NJ. He received his PhD in Operations and Decision Systems from Laval University, Canada in 1992. Dr. Fouad Ben Abdelaziz has been working at the University of Tunis and visiting many universities around the world, including the University of Paris 6, France, and the American University of Beirut, Lebanon. He is a leading researcher in multiobjective stochastic optimization. He was among the first to propose solutions to the combinatorial multiobjective problems. His actual research interests are in constrained project scheduling with fuzzy parameters and in modeling the coalition formation problem in supply chain management. Dr. Ben Abdelaziz has consulted for the Tunisian chemical industry for many years and was appointed as an assessor for the Mohammed Bin Rashid Al Maktoum Business Award for the year 2006.

T.2 - Group Method of Data Handling (GMDH), Neural Networks, and Polynomial Classifiers

Dr. Khaled Assaleh, Department of Electrical Engineering, American University of Sharjah

This tutorial is concerned with data modeling and classification as well as system identification.  Three different, but related, techniques: Group Method of Data Handling (GMDH), Neural Networks, and Polynomial Classifiers will be presented. The fundamentals of these three techniques will be covered along with highlighting their advantages and disadvantages for various application scenarios. Several case studies will be presented including speech and speaker recognition, Sign language recognition, Fetal ECG extraction, and nonlinear system identification.  

Speaker Biography:

Khaled Assaleh is currently an Associate Professor of electrical engineering at the American University of Sharjah (AUS), UAE. He received his Ph.D. in electrical engineering from Rutgers, The State University of New Jersey in 1993. Immediately after completing his Ph.D he was a Research Professor at the CAIP Center of Rutgers University for one year. He then had an 8-year career in industry with Motorola, Inc., Phoenix and Rockwell Semiconductor Systems, Newport Beach, California. Dr. Assaleh holds 11 US patents and has published over 50 articles in fields related to signal processing and pattern recognition. His research interests include biosignal processing, biometrics, speech processing, and pattern recognition.

T3 - New Trends in Time-Frequency Analysis  and Applications in Signal Processing and Numerical Analysis

Abderrazek    Karoui, University November 7th at Carthage, Department of Mathematics, Tunisia

In this tutorial, we give an overview of the theory of wavelets as well as the prolate spheroidal wave functions, as powerful tools in time-frequency analysis. Moreover, we study some important applications of these tools in the area of signal processing and numerical analysis.

In the first part of this tutorial, we give a brief description of some of theoretical results and concepts related to wavelets such as, the multiresolution analysis, the properties of wavelets, the concrete construction of wavelet bases, the wavelet transform algorithms. Then, we explain the important contributions of wavelets in some digital signal processing applications such as data compression and singularity detection.  Some numerical examples will be provided to illustrate these applications.

In the second part of this tutorial, we give a brief description of the theory of the Prolate Spheroidal Wave Functions (PSWFs) of D. Slepian and H. Polack. Note that the PSWFs are defined as the set of the eigenfunctions of the Finite Fourier transform. A special interest is devoted to the properties of the PSWFs as well as to some new highly accurate methods for their computation. Moreover, we show that the PSWFs are well adapted for the reconstruction or the interpolation of band-limited and almost band-limited signals. Some numerical examples that illustrate the results of this second part of the tutorial will be given.

Speaker Biography:

 Abderrazek    Karoui received the BSc in mathematics from the faculty of Sciences of Tunis in 1990, the  MSc  and Ph.D. degrees   from the University of Ottawa, Canada in 1992 and 1995, respectively. In 2004, he has received the Habilitation degree in Mathematics from the faculty of Sciences of Tunis,Tunisia. Dr. Karoui has joined the University of Tunis II as assistant professor of mathematics in 1996. In 2004, Dr. Karoui has joined the faculty of sciences of Bizerte, University November 7th at Carthage as associate professor of mathematics. Dr Karoui is a head of a research group in applied harmonic analysis at the faculty of sciences of Bizerte. Since 2005, Dr. karoui is serving as a board member of the Tunisian Mathematical society. He has served as a member of the organizing committee of several international mathematics conferences. He is a managing Editor of Advances in Pure and Applied Mathematics, published by Heldermann-Verlag, Germany.