László Szeidl

6603492061

Publications - 11

Integral operators in relation to the HOSVD-based canonical form

Publication Name: Asian Journal of Control

Publication Date: 2015-03-01

Volume: 17

Issue: 2

Page Range: 459-466

Description:

This paper describes the relation of the higher order singular value decomposition (HOSVD) based canonical form to the Hilbert-Schmidt type integral operators. This connection between the canonical form of f(x) and the integral operators determined by function f(x) is important; on the one hand it gives a new aspect for the consideration of LPV models, and on the other hand it allows for the approximation of eigenfunctions and integral operators based on a numerical reconstruction of the canonical form.

Open Access: Yes

DOI: 10.1002/asjc.1017

Data representation in HOSVD-DCT based domain

Publication Name: Ines 2013 IEEE 17th International Conference on Intelligent Engineering Systems Proceedings

Publication Date: 2013-12-12

Volume: Unknown

Issue: Unknown

Page Range: 103-106

Description:

The paper describes an approach for data representation and processing in the so called HOSVD-DCT based domain which combines the higher order singular value decomposition (HOSVD) with the discrete cosine transformation (DCT). The key idea is to express the multivariate function by an orthonormal set of one variable specific functions and perform DCT on those components which are less significant from the application point of view in order to ensure finer grained processing. It is advantageous also in case of system identification, where the behaviour of the system can be approximated by blending locally identified models. In this case the proposed method can efficiently be applied. © 2013 IEEE.

Open Access: Yes

DOI: 10.1109/INES.2013.6632791

HOSVD-wavelet based framework for multidimensional data approximation

Publication Name: Iccc 2013 IEEE 9th International Conference on Computational Cybernetics Proceedings

Publication Date: 2013-11-07

Volume: Unknown

Issue: Unknown

Page Range: 29-33

Description:

The representation of data plays significant role in many applications, as for instance when performing data compression, feature extraction or enhancement, etc. In this paper we briefly mention some well known data representation forms and propose a new domain based on the so called higher order singular value decomposition (HOSVD) and wavelet transformation. It will be shown how the data can be processed by manipulating its components in this domain. Furthermore, the properties of the components as well as the applicability of the proposed approach in the field of image processing and system identification will be shown. © 2013 IEEE.

Open Access: Yes

DOI: 10.1109/ICCCyb.2013.6617625

Introduction to queueing systems with telecommunication applications

Publication Name: Introduction to Queueing Systems with Telecommunication Applications

Publication Date: 2013-11-01

Volume: 9781461453178

Issue: Unknown

Page Range: 1-385

Description:

The book is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self containing introduction to the stochastic processes of the later studies queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). The next chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, ATM switches, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems. An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences.

Open Access: Yes

DOI: 10.1007/978-1-4614-5317-8

Numerical reconstruction and compression of thermal image sequences

Publication Name: International Conference on Emerging Trends in Engineering and Technology Icetet

Publication Date: 2012-12-01

Volume: Unknown

Issue: Unknown

Page Range: 298-302

Description:

Data compression and enhancement represent an important consideration in many application areas. The transmission bandwidth and storage capacity are often crucial factors. The efficiency of the processing of data in numerous cases strongly depends on the form of data representation. In the present paper a method, based on the so called higher order singular value decomposition and tensor-product transformation, is introduced for multidimensional scaling and compression of thermal images sequences. The proposed approach operates with smooth functions forming an orthonormal basis. Because of the smoothness property of these orthonormal components, the method can advantageously be utilized for the efficient compression of thermal image sequences. © 2012 IEEE.

Open Access: Yes

DOI: 10.1109/ICETET.2012.40

A partial ordering approach for functional diversity

Publication Name: Theoretical Population Biology

Publication Date: 2011-09-01

Volume: 80

Issue: 2

Page Range: 114-120

Description:

Functional diversity is generally regarded as the constituent of biological diversity that considers how the species functional traits affect ecosystem processes. Due to its ecological relevance, a number of indices of functional diversity have been proposed to date based on distinct objectives and motivations. Such proliferation of indices can be at least partially overcome by a more fundamental mathematical approach. In this paper we propose an intrinsic ordering approach for abundance-weighted measures of functional diversity that is similar to the Lorenz curves used by ecologists for ordering evenness measures. We then discuss the relevance of a number of functional diversity indices that have a behavior compatible with the proposed partial ordering. © 2011 Elsevier Inc.

Open Access: Yes

DOI: 10.1016/j.tpb.2011.03.007

On tensor-product model based representation of neural networks

Publication Name: Ines 2011 15th International Conference on Intelligent Engineering Systems Proceedings

Publication Date: 2011-08-22

Volume: Unknown

Issue: Unknown

Page Range: 69-72

Description:

The approximation methods of mathematics are widely used in theory and practice for several problems. In the framework of the paper a novel tensor-product based approach for representation of neural networks (NNs) is proposed. The NNs in this case stand for local models based on which a more complex parameter varying model can numerically be reconstructed and reduced using the higher order singular value decomposition (HOSVD). The HOSVD as well as the tensor-product based representation of NNs will be discussed in detail. © 2011 IEEE.

Open Access: Yes

DOI: 10.1109/INES.2011.5954721

HOSVD based data representation and LPV model complexity reduction

Publication Name: Applications of Mathematics and Computer Engineering American Conference on Applied Mathematics American Math 11 5th Wseas International Conference on Computer Engineering and Applications CEA 11

Publication Date: 2011-06-17

Volume: Unknown

Issue: Unknown

Page Range: 164-169

Description:

In the framework of the paper a HOSVD-based approach is introduced for LPV model reduction and multidimensional data representation. By these approaches in case of model reduction the system matrix is expressed with the help of a so called core tensor and a system of specially determined polylinear orthonormal functions. Similar approach will be applied also in case of data representation. The paper gives a detailed description on how to determine the polylinear functions and the core tensor and how the model can be expressed and reduced with their help. Furthermore, the HOSVD-based domain proposed for data representation will be compared to the well known frequency domain - related to Fourier transformation - from the point of view of their common application possibilities and their effectiveness.

Open Access: Yes

DOI: DOI not available

HOSVD based image processing techniques

Publication Name: Recent Researches in Artificial Intelligence Knowledge Engineering and Data Bases 10th Wseas International Conference on Artificial Intelligence Knowledge Engineering and Data Bases Aiked 11

Publication Date: 2011-06-17

Volume: Unknown

Issue: Unknown

Page Range: 297-302

Description:

In the framework of the paper an improved method for image resolution enhancement is introduced. The enhancement is performed through another representation domain, where the image function is expressed with the help of polylinear functions on higher order singular value decomposition (HOSVD) basis. The paper gives a detailed description on how to determine the polylinear functions corresponding to an image and how to process them in order to obtain a higher resolution image. Furthermore, the proposed approach and the Fourier-based approach will be compared from the point of view of their effectiveness.

Open Access: Yes

DOI: DOI not available

Energy distribution modeling of car body deformation using LPV representations and fuzzy reasoning

Publication Name: Wseas Transactions on Systems

Publication Date: 2008-12-01

Volume: 7

Issue: 11

Page Range: 1228-1237

Description:

The main aim of the paper is to introduce a novel method - based on fuzzy control and linear parameter varying (LPV) system representation transformable into HOSVD based Canonical form - for modeling deformation processes with respect to the distribution of the absorbed kinetic energy. Modeling such kind of processes requires many uncertain input parameters. Using the proposed concept we are able to handle them and keep the complexity of the models low by using higher order singular value decomposition (HOSVD) technique.

Open Access: Yes

DOI: DOI not available

Identification and reconstruction of car body deformation applying tensor product models

Publication Name: Ines 2006 10th International Conference on Intelligent Engineering Systems 2006

Publication Date: 2006-12-01

Volume: Unknown

Issue: Unknown

Page Range: 98-101

Description:

Car body deformation modeling plays a very important role in crash accident analyses, as well as in safe car body design. The determination of the energy absorbed by the deformation and the corresponding Energy Equivalent Speed can be of key importance, however their precise determination is a very difficult task. Although, using the results of crash tests, intelligent and soft methods offer an automatic way to model the crash process itself, as well as to determine the absorbed energy, the before-crash speed of the car, etc. In this paper a modeling technique and an intelligent expert system are introduced which together are able to follow the deformation process of car bodies in car crashes and to analyze the strength of the different parts without any human intervention thus significantly can contribute to the improvement of the modeling, (automatic) design, and safety of car bodies. © 2006 IEEE.

Open Access: Yes

DOI: DOI not available