Abstract: Quantum Optimal Control Problems are encountered in many fields of physics, chemistry and a lot of applied sciences and their mathematical background and tools are quite rich in nature. Since the most of the cost functionals used in these problems are beyond the quadratic nature, the variationally obtained control equations are nonlinear partial differential equations coupled with one or more functional equations. The character of the motion corresponds to a boundary value problem in time. The solution of these equations can be obtained through various standing methods. One of the recently developed methods to this end is based on the expectation values of certain quantum mechanical operators. Instead of the wavefunction's evolution, these expectation values' evolution is taken into consideration. The result is a set of coupled ordinary differential equations with nonliearities both in the structure and in the accompanied boundary conditions. Nevertheless they are ordinary differential equations and there is an abundance of methods to solve them. This presentation will cover the mainlines and important aspects of this approach after an introductory historical development section. Most recent applications will also be mentioned.

Plenary Lecture II

Hebbian Learning and Negative Feedback Neural Networks

Professor Colin Fyfe

The University of Paisley, Scotland

Abstract: The central idea of this presentation is that artificial neural networks which use negative feedback of activation can use simple Hebbian learning to self-organise in such a way that they uncover interesting structure in data sets. The network in its simplest form performs a Principal Component Analysis. Extensions to the network are shown to perform Exploratory Projection Pursuit: they find low-dimensional filters of the data which reveal interesting structure in the data. For example, we might search for outliers from the main body of the data or clusters within the data set and this search can be performed in a hierarchical manner – we find one cluster in the midst of many and then re-project the data from this one cluster to attempt to find subclusters. There are two main ways of performing these searches and these are contrasted and compared and a composite method created which exhibits useful properties from the two underlying methods.

The network can also be used to find independent components of a data set in a number of different ways. For example, one extension to the basic network is shown to perform a type of Factor Analysis – it identifies a set of factors which when OR-ed together will construct the data set. Other methods are used to perform Independent Component Analysis which is extensively used in blind source separation – extracting one signal from a linear mixture of signals. The network can also be used for clustering in a topology preserving manner: there are several ways of clustering using this network in such a way that similar data points are clustered close to one another and only similar data points are treated this way.

In part 2 of the talk, twinned networks are introduced: these networks have two input data streams on which they self-organise using simple Hebbian learning with negative feedback again. In their basic form, the networks are shown to perform Canonical Correlation Analysis, the statistical technique which finds those filters onto which projections of the two data streams have greatest correlation. Various extensions of the basic methods are devised in order to create methods which react to more than two data streams at a time or which deal with problems such as multicollinearity. A further extension is the twinning of the Exploratory Projection Pursuit methods from the first part of the book so that the new network identifies shared structure across two data streams. This new network is also shown to perform Independent Component Analysis. A final chapter deviates somewhat from the rest of the book since its emphasis is on an extension of the Principal Curve algorithm so that we now have two curves learning on two data streams simultaneously.

Since the scope of the talk is the development of new algorithms, all algorithms which are derived analytically, are illustrated on artificial data before being used on real data sets. Where it is of interest, the results are compared with those from standard statistics or from alternative artificial neural networks.

SPECIAL SESSION: Numerical Modelling On Coastal Processes

Chair: Lale Balas

Numerical modelling of turbulent coastal processes	Lale Balas, Alp Kucukosmanoglu	522-207
Litter Categorization of Beaches in Wales, UK by Multi-layer Neural Networks	Can Elmar Balas, Rifat Tur	522-285
A Computational Risk Assessment Model for Breakwaters	Can E. Balas, Rifat Tur	522-291
A Nonlinear Wave Propagation Model	Asu Inan, Lale Balas	522-312
Free surface flow with moving rigid bodies. part 2. on the development of a numerical simulation tool	Larisa A. Mironova, Oleg I. Gubanov, Serpil Kocabiyik	522-275

SPECIAL SESSION: Application of Adomian Decomposition Method in Applied Mathematics

Chair: M. Najafi

On The Application Of Adomian Decomposition Method And Oscillation Equations	M. Najafi, M. Moghimi, H. Massah, H. Khoramishad, M. Daemi	522-089
On the application of ADM for solving a system of coupled Euler-Bernoulli Beams	M. Najafi, M. Moghimi, H. Massah, H. Khoramishad, M. Daemi	522-090
Approximated Solutions to Tow-dimensional and Axisymetric Jet Impinging Flows, Using Adomian Decomposition Method	M. Najafi, M. Taeibi-Rahni, Kh. Javadi, S. F. Hosseinzadeh	522-091
Fin and Slab Heat Transfer and Property Distribution, Using Adomian Decomposition Method	M. Najafi, M. Ramezanizadeh, M. Taeibi-Rahni, M. H. Saidi	522-092
An Approximated Solution to the Two-dimensional Lid-driven Cavity Flow, Using Adomian Decomposition Method and the Vorticity-Stream Function Formulation	M. Najafi, M. Taeibi-Rahni, K. A. Avani	522-093
A Study of Blasius Viscous Flow: An ADM Analytical Solution	M. Najafi, H. Khoramishad, H. Massah, M. Moghimi, M. Daemi	522-094
An ADM Closed Form Solution for Vibrating Strings	M. Najafi, H. Khoramishad, H. Massah, M. Moghimi	522-095
On the MADM Solution of Coupled Wave System with Mixed Boundary Condition	M. Najafi, M. Daemi, H.R. Massah, M. Moghimi, H. Khoramishad	522-096
A New Algorithm for Solving Riccati Equation Using Adomian Decomposition Method	A. Fakharian, M. T. Hamidi Beheshti, M. Najafi	522-097
Analytical and Computational Study of the Stability of Coupled Wave Equations	M. Najafi, H. R. Massah	522-098

SPECIAL SESSION: Application of the asymptotic method in non-linear dynamics of mechanical systems

Chair: Mihai Bugaru, Reza Tavakkoli-Moghaddam

Non-linear dynamic behavior of thin rectangular plates parametrically excited using the asymptotic method. Part1: Computation of the amplitude	Mihai Bugaru, Eugen Trana, Tudor Chereches, Sorin Gheorghian	522-267
Non-linear dynamics of geared systems using the asymptotic method. Part 1: Computation of the amplitude	Mihai Bugaru, Tudor Chereches, Eugen Trana, Adrian Rotariu	522-264
Non-linear dynamics of geared systems using asymptotic method. Part 2: Computation of the phase angle	Mihai Bugaru, Sorin Gheorghian, Eugen Trana, Adrian Rotariu	522-265
Non-linear dynamics of geared systems using the asymptotic method. Part 3: Computation of instability frontiers	Mihai Bugaru, Sorin Gheorghian, Eugen Trana, Adrian Rotariu	522-266

SESSION: Simulation and Modelling I

Chair: Parvin Kadivar

Intelligent Mining on Asynchronous E-learning Information System	Genadijus Kulvietis, Jelena Mamcenko, Irma Sileikiene	522-289
Multilevel Analysis in Complex Wavelet Transform Domain for Signal Processing Applications	Ashish Khare, Uma Shanker Tiwary	522-141
Unsymmetrical and Symmetrical Sparse Iterative Algorithm with Multiple Right-Hand-Sides Strategies	D.T. Nguyen, A.P. Honrao, G. Hou, O. Akan, and O. Baysal	522-122
Rollover Analysis of a Bus Using Beam and Nonlinear Spring Elements	Su-Jin Park, Wan-Suk Yoo, Yuen-Ju Kwon	522-250
Integration algorithms to construct semi-analytical Planetary theories	Jose A. López, Miguel Barreda, Jorge Artés	522-197
A Fuzzy Goal Programming Approach for a Single Machine Scheduling Problem	Reza Tavakkoli-Moghaddam, Babak Javadi, Nima Safaei	522-189
A Proposed Hierarchical Production Planning Structure for Combined MTS/MTO Environments	A. H. Gharehgozli, M. Rabbani, R. Tavakkoli-Moghaddam	522-211
Spectral generalized inverses of Toeplitz-related matrices	M. C. Gouveia	522-295
Control and Enslavement of Input DC Voltages of multilevel NPC inverter cascade	F. Bouchafaaa, E. M. Berkouk, M. S. Boucherit	522-213
Modelling and analysis and feedback control of nine-level NPC PWM rectifier - clamping bridge - nine-level NPC inverter Cascade	A. Talha, F. Bouchafaa, E. M. Berkouk, M. S. Boucherit	522-214

SESSION: Ordinary and Partial Differential Equations I

Chair: Mahadevan Ganesh

A Mathematical Model for Erythroid Regulation	Kanchana Kumnungkit, I. Ming Tang	522-253
Study of Prediction of Linear Motion Guide Rigidity through Grey Modeling of Linear Differential and Linear Difference Equations	Y. F. Hsiao, Y. S. Tarng, K. Y. Kung	522-279
The series expansions of generalized hypergeometric functions	G. Bognar, E. Rozgonyi	522-223
A second-order combined compact upwind difference scheme for the Navier-Stokes equations	Xian Liang , Zhenfu Tian	522-215
The Numerical Solution for Singular Integro- Differential Equations in Generalized Holder Spaces	Iurie Caraus, Nikos E. Mastorakis	522-084
High-order Approximations to the Mie–series for Electromagnetic Scattering in Three Dimensions	M. Ganesh, S. C. Hawkins	522-190
An improved genetic algorithm for the dynamic cargo crew pairing problem	Shaw Ching Chang	522-254
Benjamin-Feir Type Instability of Sine-Gordon Equation and Spectrum of Lame Equation II	Mayumi Ohmiya, Hiroshi Ohkura, Daisuke Okaue	522-181

SESSION: Simulation and Modelling II

Chair: Parvin Kadivar

Noncommutative Analysis: Application to Quantum Information Geometry	Hiroshi Hasegawa	522-099
Noncommutative Analysis: Application to Quantum Information Geometry II. Uniqueness Theorem	Hiroshi Hasegawa	522-085
Experimental Results in Shape Description	Dorina Purcaru, Elena Niculescu	522-159
The Role of Mathematics self-efficacy and Mathematics ability in the structural model of Mathematics performance	Mahmood Kamali Zarch , Parvin Kadivar	522-220
Homogenization in Nonlinear Chemical Reactive Flows	Claudia Timofte	522-167
Quantization of Nonconservative Systems	Eqab M. Rabei, Abdul-Wali Ajlouni and Humam B. Ghassib	522-273

Sunday, May 28, 2006

SESSION: Optimization and Modelling

Chair: Dimitrios Magos

An Application Of Lagrangean Decomposition To The Scheduling Of Hot Charged Rolling In Steel Production	Ta-Cheng Chen	522-293
Technologies Ranking by Super-Efficiency Analysis	Reza Farzipoor saen	522-112
Use of IAs based approach for the Cooperative Periodic Market	Ta-Cheng Chen, Yi-Chih Hsieh	522-288
Numerical, graphical and symbolic calculations with the only requirement of a web browser	Javier Bilbao, Eugenio Bravo, Purificación González	522-282
MPI Management of Hermite Collocation Computation on a Distributed-Shared Memory System	E. N. Mathioudakis, P. Papadopoulou	522-087
A dual heuristic for set partitioning	Dimitrios Magos	522-236

SESSION: Intelligent Systems and Applications

Chair: Ignacio Rojas

Skin-Cancer Region of Interest Detection using Jensen-Shannon Divergence	C. Atae-Allah, A. Atae-Allah, I.Rojas, F.Rojas,O.Valenzuela, J.F.Gómez Lopera	522-245
Fuzzy Boundaries of Sample Selection Model	L. Muhamad Safiih, Anton Abdulbasah Kamil, M. T. Abu Osman	522-261
Contribution Of Classical And Robust Principal Component Analysis To Depth Estimation	Elena Castillo, Vicente Bayarri, Rafael Ferrer	522-305
On Machine Dependency in Shop Scheduling	Evgeny Shchepin, Nodari Vakhaniay	522-270
Fuzzy C-Means Initialized by Fixed Threshold Clustering for Improving Image Retrieval	Nawara Chansiri , Siriporn Supratid , Chom Kimpan	522-280
Complete convergence for negatively dependent random variables	Hassan Zarei	522-131
On a Convergence Result for Sequences of Functions with Multiple Scales	Anders Holmbom, Jeanette Silfver	522-284

SESSION: Discrete Mathematics and Optimization I

Chair: Yanping Bai

A Model Identification Approach Using MINLP Techniques	Stefan Emet	522-276
An Efficient Growing Ring SOM and Its Application to TSP	Yanping Bai, Wendong Zhang	522-272
An improved version of back-propagation algorithm with effective dynamic learning rate and momentum	Mammadagha Mammadov, Engin Tas	522-269
(2; 3; t)-Generations for the Tits simple group 2F4(2)	Mohammed Ali Faya Ibrahim, Faryad Ali	522-286
Nonsmooth Continuous-Time Multiobjective Optimization Problems with Invexity	S. K. Mishra, S. Y. Wang, K. K. Lai	522-222
A combined filter line search and trust region method for nonlinear programming	Choong Ming Chin, Abdul Halim Abdul Rashid, Khalid Mohamed Nor	522-191

SESSION: Numerical Methods I

Chair: Saulius Valentinavicius

Postprocessing error estimation taking to the account singularity effect	Lina Vasiliauskiene, Saulius Valentinavicius, Romualdas Bausys	522-281
Flank milling surface design with the least square approach	Chenggang Li, Sanjeev Bedi, Stephen Mann	522-277
Non-linear dynamic behavior of thin rectangular plates parametrically excited using the aymptotic method. Part 2: Computation of the phase angle	Mihai Bugaru, Eugen Trana, Adrian Rotariu, Sorin Gheorghian	522-268

SESSION: Non-Linear Systems and Non-Linear Dynamics I

Chair: Metin Demiralp, Teruji Sekozawa

Adaptive control architecture-based supply chain management (SCM)	Pyoung Yol Jang	522-200
A New Iterative Learning Control Method for Stabilizing a Class of Nonlinear Systems	Mehdi Roopei	522-194
An Adaptive Neural-Network Model-Following Speed Control of PMSM Drives for Electric Vehicle Applications	Fayez F. M. El-Sousy	521-123
Logarithmic High Dimensional Model Representation	Metin Demiralp	522-147
Necessary Conditions for the optimal control of the double-membrane system	Ismail Kucuk	522-136

SESSION: Discrete Mathematics and Optimization II

Chair: Taher Abualrub, Panos Tsikouras

On the Constructions of Cyclic Codes over the Ring Z2+uZ2	Taher Abualrub, Irfan Siap	522-187
Estimation by MinxEnt Principle	Aladdin Shamilov, Zerrin Asan, Cigdem Giriftinoglu	522-183
Reversible Quaternary Cyclic Codes	Taher Abualrub, Irfan Siap	522-174
Dyck paths statistics	A. Sapounakis, I. Tasoulas and P. Tsikouras	522-169
Approximate subdi erentials of marginal Functions: the Lipschitzian case	K. Allali	522-130

SESSION: Non-Linear Systems and Non-Linear Dynamics II

Chair: Metin Demiralp, Teruji Sekozawa

Recent Advances in Nonlinear Optimal Feedback Control Design	Tayfun Çimen	522-271
Low Fuel Consumption Control Scheme Based on Nonlinear Optimzation for Engine and Continuously Variable Transmission	Teruji Sekozawa	522-242
A New Approach to Stabilize a Class of Nonlinear Systems by ILC Method	Mehdi Roopaei, Meimanat Soleimanifar, Hadi Roopaei	522-224
Application Of Wavelets To The Optimal Control Of A Parallel System Of Beams	Ibrahim Sadek, Taher Abualrub, Marwan Abukhaled	522-208

SESSION: Linear Systems and Applications I

Chair: Yiannis Saridakis

Preconditioning for solving Hermite Collocation by the Bi-CGSTAB	E.N.Mathioudakis, E.P. Papadopoulou and Y.G.Saridakis	522-313
The Matrix Analogs of Firey’s Extension of Minkowski Inequality and of Firey’s Extension of Brunn-Minkowski Inequality	Poramate Pranayanuntana, John Gordon	522-296
The Matrix Analog of the Kneser-Suss Inequality	Poramate Pranayanuntana, Patcharin Hemchote, Praiboon Pantaragphong	522-294

Monday, May 29, 2006

Tutorial I

High Dimensional Model Representation from Beginning to Present Status

Prof. Metin Demiralp

Istanbul Technical University, Turkey

Tutorial II

System Identification Using Evolutionary Algorithms

Prof. Alaa Sheta

Al-Balqa Applied University, Jordan

SESSION: Ordinary and Partial Differential Equations II

Chair: Andreas Boukas

A reformulation of the Ramsey model	Elvio Accinelli and Juan Gabriel Brida	522-165
On the uniqueness theorem for one nonstationary 3-D inverse heat conductivity problem in a layered domain	Sharif Guseinov	522-129
Quantum stochastic calculus and some of its applications	Andreas Boukas	522-118
Continues model for vertical vibration of tension leg platform	M. R. Tabeshpour, A. A. Golafshani and M. S. Seif	522-104
Six New Sequences of Orthogonal Polynomials	Maitree Podisuk, Pongpan Rattanathanawan and Netchanok Kongchouy	522-171
Solving the Initial Value Problem of Ordinary Differential of Higher Order by Integration Method	Maitree Podisuk, Wannaporn Sanprasert, Chinda Chaichuay	522-212

SESSION: Linear Algebra and Applications

Chair: Uwe Naumann

On Symbolic Jacobian Accumulation	Ebadollah Varnik, Uwe Naumann	522-287
Sensitivity of Closed Loop System Eignvalues to Structured Perturbations in System Parameters	Ibrahim Hamarash, Ali Baqi, Shawbo AbdulKarem	522-202
Lower Bound on the Size of Keys in Authentication Codes with Arbitration	Boubacar Abba, You Hong	522-217
On eigenvalues and eigenvectors of subdirect sums	Francisco Pedroche Sάnchez	522-157

SESSION: Numerical Methods II

Chair: Colin Fyfe

Comparison of Central and Upwind Flux Averaging in Overlapping Finite Volume Methods for Simulation of Super-Critical Flow with Shock Waves	Saeed-Reza Sabbagh-Yazdi	522-307
Non-Stationary Components Fixing Jacobi Iteration	Jun Srisutapan, Sirikul Bunditsaovapak	522-297
Numerical Modeling of Seawater Intrusion in Coastal Aquifer Using Finite Volume Unstruc	Mehdi Hamidi and Saeed Reza Sabbagh Yazdi	522-192
High Relative Precision of Eigenvalues Calculate with Jacobi Methods	Ana Julia Viamonte, Rui Ralha	522-218
Some Methods for Computing RMS Values and Phase Differences of Currents and Voltages	Dorina Purcaru, Ion Purcaru, Elena Niculescu	522-158
Calculation of the coupled thermal stress of a cylinder with non-linear surface heat-transfer coefficient and phase transformation during the quenching with various quenching media	Cheng Heming, Xie Jianbin Li Jianyun, Hou Lijun	522-148
A 4th-order Implicit Procedure for the Simulation of Acoustics	Seongjai Kim	522-162

SESSION: Statistics and Probabilistical Models I

Chair: Yasemin Ulu, Hassan Zarei

The Distribution of Minimizing Maximum Entropy: Alternative to Weibull distribution for wind speed	Aladdin Shamilov , Ilhan Usta , Yeliz Mert Kantar	522-243
Sparsification of Probabilistic Canonical Correlation Analysis	Daniel Livingstone and Colin Fyfe	522-290
An approach to generalize entropy optimization principles and related aspects of newtonΤs method	A. Kh. Shamilov	522-149
Forecasting with a Linex Loss: A Monte Carlo Study	Yasemin Ulu	522-206
Prediction under Multivariate Asymmetric Loss: A Monte Carlo Study	Yasemin Ulu	522-204
On a Functional defined by means of Kullback-Leibler Measure and Its Statistical Applications	Aladdin Shamilov, Yeliz Mert Kantar, lhan Usta	522-185

SESSION: Statistics and Probabilistical Models II

Chair: Yasemin Ulu, Hassan Zarei

Statistical Structure of Printed Turkish, English, German, French, Russian and Spanish	Aladdin Shamilov, Senay Yolacan	522-184
The Individuals Control Charts For BURR Distributed Data	Betul Kan, Berna Yazici	522-168
Adaptive Checkpointing Schemes for Fault Tolerance in Real-Time Systems with Task Duplication	Zhongwen Li, Hong Chen	522-133