• Title/Summary/Keyword: mapping matrix

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Multivariate Classification of Choson Coins (다변수 분석법에 의한 조선시대 동전의 분류연구)

  • Lee, Chang-Keun;Kang, Hyung-Tai;Goh, Sung-Hee
    • 보존과학연구
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    • s.8
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    • pp.1-12
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    • 1987
  • Fifty ancient Korean coins originated in Choson dynasty have been determined for 9 elements such as Sn, Fe, As, Ag, Co, Sb, Ir, Ru and Ni by instrumental neutron activation analysis and for 3 elements such as Cu, Pb, and Zn by atomicalsorption spectrometry. Bronze coins originated in early days of the dynasty contain as major constituents Cu, Pb and Sn approximately in the ratio 90 : 4 : 3, where as, those in latter days contain in the ratio 7 : 2 : 0. Brass coins which had begun in 17century contain as major constituents Cu, Zn and Pb approximately in the ratio 7 : 1: 1. The multivariate date have been analyzed for the relation among elemental contents through the variance-covariance matrix. The data have been fur theranalyzed by a principal component mapping method. As the results training set of 8class have been chosen, based on the spread of sample points in an eigenvector plotand archaeolgical data such as age and the office of minting.

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$H_{\infty}$ Fuzzy State-Feedback Control Design for Uncertain Nonlinear Descriptor Systems;An LMI Approach

  • Assawinchaichote, W.;Nguang, S.K.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1037-1041
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    • 2004
  • This paper examines the problem of designing an $H_{\infty}$ fuzzy state-feedback controller for a class of uncertain nonlinear descriptor systems which is described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop an $H_{\infty}$ state-feedback controller which guarantees the $L_2$-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of systems. A numerical example is provided to illustrate the design developed in this paper.

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Patch-based Cortical Source Modeling for EEG/MEG Distributed Source Imaging: A Simulation Study

  • Im Chang-Hwan
    • Journal of Biomedical Engineering Research
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    • v.27 no.2
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    • pp.64-72
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    • 2006
  • The present study introduces a new cortical patch-based source model for EEG/MEG cortical source imaging to consider anatomical constraints more precisely. Conventional source models for EEG/MEG cortical source imaging have used coarse cortical surface mesh or sampled small number of vertices from fine surface mesh, and thus they failed to utilize full anatomical information which nowadays we can get with sub-millimeter modeling accuracy. Conventional ones placed a single dipolar source on each cortical patch and estimated its intensity by means of various inverse algorithms; whereas the suggested cortical patch-based model integrates whole cortical area to construct lead field matrix and estimates current density that is assumed to be constant in each cortical patch. We applied the proposed and conventional models to realistic EEG data and compared the results quantitatively. The quantitative comparisons showed that the proposed model can provide more precise spatial descriptions of neuronal source distribution.

EQUIVALENCE CLASSES OF MATRICES IN $GL_2(Q)$ AND $SL_2(Q)$

  • Darafsheh, M.R.;Larki, F. Nowroozi
    • Journal of applied mathematics & informatics
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    • v.6 no.2
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    • pp.433-446
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    • 1999
  • Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. The mapping $theta$ sending a matrix to its transpose-inverse is an auto-mophism of G and therefore we can form the group $G^+$ = G.<$theta$>. In this paper conjugacy classes of elements in $G^+$ -G are found. These classes are closely related to the congruence classes of invert-ible matrices in G.

Author co-citation mapping and changes of intellectual structure in a subject area : with reference to Korean history (저자용인용 메핑과 학문의 지적구조변화)

  • 조명희
    • Journal of the Korean Society for information Management
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    • v.10 no.1
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    • pp.65-96
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    • 1993
  • This research fulfills two objectives of the study relating to the analysis of changing intellectual structure and its development of Korean history during 1980s: 1) investigation of intellectural structures of two successive time periods using author co-citation study analysis: 2) validation of the results of author co-citation analysis using assessments of experts collected from scholarly reviews and direct data drawn from the researchers in the area of Korean history. Three approaches to multivariate analysis as multi-dimensional scaling, cluster analysis, and factor analysis are used to display the inter-author relationships in the author similarity matrix.

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Malay Syllables Speech Recognition Using Hybrid Neural Network

  • Ahmad, Abdul Manan;Eng, Goh Kia
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.287-289
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    • 2005
  • This paper presents a hybrid neural network system which used a Self-Organizing Map and Multilayer Perceptron for the problem of Malay syllables speech recognition. The novel idea in this system is the usage of a two-dimension Self-organizing feature map as a sequential mapping function which transform the phonetic similarities or acoustic vector sequences of the speech frame into trajectories in a square matrix where elements take on binary values. This property simplifies the classification task. An MLP is then used to classify the trajectories that each syllable in the vocabulary corresponds to. The system performance was evaluated for recognition of 15 Malay common syllables. The overall performance of the recognizer showed to be 91.8%.

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Robust Predictive Control of Uncertain Nonlinear System With Constrained Input

  • Son, Won-Kee;Park, Jin-Young;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.4
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    • pp.289-295
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    • 2002
  • In this paper, a linear matrix inequality(LMI)-based robust control method, which combines model predictive control(MPC) with the feedback linearization(FL), is presented for constrained nonlinear systems with parameter uncertainty. The design procedures consist of the following 3 steps: Polytopic description of nonlinear system with a parameter uncertainty via FL, Mapping of actual input constraint by FL into constraint on new input of linearized system, Optimization of the constrained MPC problem based on LMI. To verify the performance and usefulness of the control method proposed in this paper, some simulations with application to a flexible single link manipulator are performed.

Variable structure control of robot manipulator using neural network (신경 회로망을 이용한 가변 구조 로보트 제어)

  • 이종수;최경삼;김성민
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.7-12
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    • 1990
  • In this paper, we propose a new manipulator control scheme based on the CMAG neural network. The proposed control consists of two components. The feedforward component is an output of trained CMAC neural network and the feedback component is a modified sliding mode control. The CMAC accepts the position, velocity and acceleration of manipulator as input and outputs two values for the controller : One is the nominal torque used for feedforward compensation(M1 network) and the other is the inertia matrix related information used for the feedback component(M2 network). Since the used control algorithm guarantees the robust trajectory tracking in spite of modeling errors, the CMAC mapping errors due to the memory limitation are little worth consideration.

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The Design of a Code-String Matching Processor using an EWLD Algorithm (EWLD 알고리듬을 이용한 코드열 정합 프로세서의 설계)

  • 조원경;홍성민;국일호
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.4
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    • pp.127-135
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    • 1994
  • In this paper we propose an EWLD(Enhanced Weighted Levenshtein Distance) algorithm to organize code-string pattern matching linear array processor based on the mappting to an one-dimensional array from a two-dimensional matching matrix, and design a processing element(PE) of the processor, N PEs are required instead of NS02T in the processor because of the mapping. Data input and output between PEs and all internal operations of each PE are performed in bit-serial fashion. The bit-serial operation consists of the computing of word distance (WD) by comparison and the selection of optimal code transformation path, and takes 22 clocks as a cycle. The layout of a PE is designed based on the double metal $1.5\mu$m CMOS rule. About 1,800 transistors consistute a processing element and 2 PEs are integrated on a 3mm$\times$3mm sized chip.

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A TOPOLOGICAL PROOF OF THE PERRON-FROBENIUS THEOREM

  • Ghoe, Geon H.
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.565-570
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    • 1994
  • In this article we prove a version of the Perron-Frobenius Theorem in linear algebra using the Brouwer's Fixed Point Theorem in topology. We will mostly concentrate on he qualitative aspect of the Perron-Frobenius Theorem rather than quantitative formulas, which would be enough for theoretical investigations in ergodic theory. By the nature of the method of the proof, we do not expect to obtain a numerical estimate. But we may regard it worthwhile to see why a certain type of result should be true from a topological and geometrical viewpoint. However, a geometric argument alone would give us a sharp numerical bounds on the size of the eigenvalue as shown in Section 2. Eigenvectors of a matrix A will be fixed points of a certain mapping defined in terms of A. We shall modify an existing proof of Frobenius Theorem and that will do the trick for Perron-Frobenius Theorem.

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