METU Student Chapter of SIAM
General Seminars
Speaker: *Prof. Dr.
Stef Tijs
Title: "Lectures on Cooperative Game Theory"
Date: 15-22
November 2006 10:40-12:30
Place:
Institute of Applied Mathematics Computer Laboratuary
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*Prof. Dr. Stef Tijs: Center and Department of Econometrics and
Operations Research, Tilburg University
Speaker: *Prof. Dr. Okyay Kaynak
Title: "Mechatronics in 21st Century"
Date: 11 March 2005 Friday 15:40-16:40
Place: Cultural & Convention Center Hall C
Abstract:
This talk first discusses the erosion of the boundaries between different disciplines
in the information age. It is argued out that the changes necessitate a paradigm shift
from teaching to learning, accompanied by changes in the skills that need to be acquired.
What an engineer of the 21st Century needs to know and what skills he/she need to have are
elaborated upon and, considering the general trends in industry, the capabilities that an
engineer needs to develop in order to be able to cope with the changes are discussed.
It is said that mechatronics offers a best practice for synthesis and meeting the challenges.
The evolution of Mechatronics over the past 40 years is considered and a new definition of
mechatronics for the 21st Century is cited.
The talk then dwells upon how to define "intelligence" of man-made machines and continue with
a discussion on the state-of-art reached. A perspective on the future is given, based on
“futurology” rather than “prophecy”. The trends seen in this respect over the last century
is overviewed and it is argued that the Moore’s Law will have to reach an end, not so much
because of technological difficulties but because of financial ones. Quantum and molecular
computing are offered as possible alternatives.
The presentation then considers the changes observed in manufacturing industries. The goals
of the Intelligent Manufacturing Systems Consortium are overviewed with special emphasis on
Holonic Manufacturing Systems. Some demonstrations are screened. These changes in industry
indicate a paradigm shift from industrial electronics to industrial informatics. In the
closing parts of the presentation, a technological roadmap is given, pointing out to the
necessary breakthroughs. The necessity for understanding cognitive perception is emphasized.
The talk closes with a consideration of the possible research directions in mechatronics and
robotics.
*Prof. Dr. Okyay Kaynak: UNESCO Chair on Mechatronics Vice Presidents of the IEEE Neural Networks Society Bogazici University
Speaker: *Emin Özsoy
Title: "Simple Ecosystem Models"
Date: 07 January, 2005 at 15:40 (Tea/Coffee: 15:15)
Place: Institute of Applied Mathematics M-205
Abstract:
Simple' ecosystem models reduce the infinitely complex ecosystem into a set of simple equations that attempt to describe growth, mortality and trophic interactions of living populations, to understand their behavior and to answer questions on stability versus compexity. Ecosystem models gradually have been made more complex to imitate nature, but often nature seems to lead.
A 'dynamical systems' approach is used to develop model ecosystems. Simple models are developed to simulate the basic functions of a population. Trophic interactions (competition, feeding, predation etc.), logistic controls are then added, and applied to multi-species populations and populations in an advective-diffusive environment. The stability of the ecosystem is analysed and the issue of stability is contrasted with the complexity of the ecosystem.
*Emin Özsoy: METU, Institute of Marine Sciences
Speaker: *Metin Türkay
Title:
"Multi-Scale Optimization of Complex Systems"
Date: 26 November 2004 at 15:40 (Coffee/Tea 15:15) Place: Institute of Applied Mathematics M-205
Abstract:
Decisions are important problems in basic sciences, engineering and business. These problems can be categorized as complex systems due to multiple aspects in these problems. Some of these decisions span very short time and distance scales such as problems in basic sciences and some others span very long time and distance scales such as engineering and business. Different scales in decisions results in multi-scale systems. A decision-maker (whether a scientist, engineer or business manager) must select the values for these decisions that needs major computational effort.In addition, these values must be optimal with respect to certain performance criterion that is expected from the systems. The optimization of a complex system has two main difficulties: modeling framework to capture events in these complex systems with sufficient accuracy and optimization algorithm to solve these models efficiently. In this talk, a general introduction to optimization models and solution algorithm will be presented. In addition, the role of optimization in different problems in science, engineering and business will be discussed.
*Metin Türkay:
College of Engineering, Koç University
Speaker: *Georges Koepfler
Title: "Mathematics in Image Processing"
Date: 20 0ctober 2004 at 15:40
Place: METU Convention and Cultural Center Hall D
Abstract:
This talk will present the mathematical modelization of images and of various image processing tasks. After developing the way to represent images in a computer or in
mathematics we will focus on some applications. Among these one can find restauration of corrupted images, extraction of information through segmentation and compression of images for transmission and/or archiving purposes. The talk will illustrate the athematical techniques through schemes and by showing examples, in order to remain accessible to a large non specialized public.
*Georges Koepfler: UFR de Mathématiques et Informatique & Mathématiques Appliquées Paris 5 Université Paris 5 René Descartes.
Speaker: *Georges Koepfler
Title: "Partial Differential Equations in Image Processing"
Date: 19 October 2004 at 15:40 (Tea/Coffee: 15:30)
Place: Institute of Applied Mathematics M-205
Abstract: In this talk we will give a broad review of developments which started
at the end of the 1980s when partial differential equations where used
for image restauration purposes. After introducing classical filters
used in denoising, we will present the first PDEs which where used.
Then we will introduce different approaches developed
over the 15 last years, including variationnal methods, axiomatic approach
of multiscale filters and orphological operators. We will also discuss
numerical issues for practical applications, e.g. geometrical schemes,
and present experiments on real and synthetic images.
*Georges Koepfler: UFR de Mathématiques et Informatique & Mathématiques Appliquées Paris 5
Université Paris 5 René Descartes.
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