• Title/Summary/Keyword: multidimensional linear systems

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Relation between Multidimensional Linear Interpolation and Regularization Networks

  • 엄경식;민병구
    • Journal of the Korean Institute of Intelligent Systems
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    • v.7 no.3
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    • pp.89-95
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    • 1997
  • This paper examines the relation between multidimensional linear interpolation (MDI) and regularization net-works, and shows that an MDI is a special form of regularization networks. For this purpose we propose a triangular basis function(TBF) network. Also we verified the condition when our proposed TBF becomes a well-known radial basis function (RBF).

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Relation between Multidimensional Linear Interpolation and Fuzzy Reasoning

  • 엄경식;민병구
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.4
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    • pp.34-38
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    • 1996
  • This paper examines the relation between multidimensional linear interpolation(MDI) and fuzzy reasoning, and shows that an MDI is a special form of Tsukamoto's fuzzy reasoning. From this result, we found new possibility of defuzzification strategy.

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Feedback Control for Multidimensional Linear Systems and Interpolation Problems for Multivariable Holomorphic Functions

  • Malakorn, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1847-1852
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    • 2004
  • This article provides the connection between feedback stabilization and interpolation conditions for n-D linear systems (n > 1). In addition to internal stability, if one demands performance as a design goal, then there results an n-D matrix Nevanlinna-Pick interpolation problem. Application of recent work on Nevanlinna-Pick interpolation on the polydisk yields a solution of the problem for the 2-D case. The same analysis applies in the n-D case (n > 2), but leads to solutions which are contractive in a norm (the "Schur-Agler norm") somewhat stronger than the $H^{\infty}$ norm. This is an analogous version of the connection between the standard $H^{\infty}$ control problem and an interpolation problem of Nevanlinna-Pick type in the classical 1-D linear time-invariant systems.

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Relations among the multidimensional linear interpolation fuzzy reasoning , and neural networks

  • Om, Kyong-Sik;Kim, Hee-Chan;Byoung-Goo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.562-567
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    • 1998
  • This paper examined the relations among the multidimensional linear interpolation(MDI) and fuzzy reasoning , and neural networks, and showed that an showed that an MDI is a special form of Tsukamoto's fuzzy reasoning and regularization networks in the perspective of fuzzy reasoning and neural networks, respectively. For this purposes, we proposed a special Tsukamoto's membership (STM) systemand triangular basis function (TBF) networks, Also we verified the condition when our proposed TBF becomes a well-known radial basis function (RBF).

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Multidimensional Linear Interpolation is a Spetial Form of Tsukamotos Fuzzy Reasoning

  • Om, Kyung-Sik;Kim, Hee-Chan;Min, Byoung-Goo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.147-150
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    • 1996
  • This paper examines the realtionship between Multidimensional linear interpolation (MDI) and fuzzy reasoning, and shows that an MDI is a special form of Tsukamoto's fuzzy reasoning. From this result, we find a new possibility of defuzzification scheme.

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A Study on Non-Metric Multidimensional Scaling Using A New Fitness Function (새로운 적합도 함수를 사용한 비계량형 다차원 척도법에 대한 연구)

  • Lee, Dong-Ju;Lee, Chang-Yong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.2
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    • pp.60-67
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    • 2011
  • Since the non-metric Multidimensional scaling (nMDS), a data visualization technique, provides with insights about engineering, economic, and scientific applications, it is widely used for analyzing large non-metric multidimensional data sets. The nMDS requires a fitness function to measure fit of the proximity data by the distances among n objects. Most commonly used fitness functions are nonlinear and have a difficulty to find a good configuration. In this paper, we propose a new fitness function, an absolute value type, and show its advantages.

Relation between Multidimensional Liner Interpolation and Regularization Networks

  • Om, Kyong-Sik;Kim, Hee-Chan;Min, Byoun-Goo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.11a
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    • pp.128-133
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    • 1997
  • This paper examines the relation between multidimensional linear interpolation ( MDI ) and regularization networks, and shows that and MDI is a special form of regularization networks. For this purpose we propose a triangular basis function ( TBF ) network. Also we verified the condition when our proposed TBF becomes a well-known radial basis function ( RBF ).

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A heuristic search on noninferior solutions to the Halkin-typed linear quantized optimal control problem with two performance functions

  • Munakata, Tsunehiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.772-776
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    • 1988
  • In quantized control systems, the control values can take only given discrete (e.g. integer) values. In case of dealing with the control problem on the discrete-time, final-stage fixed, quantized control systems with multidimensional performance functions, the first thing, new definition on noninferior solutions in these systems is necessary because of their discreteness in state variables, and the efficient search for those solutions at final-stage is unavoidable for seeking their discrete-time optimal controls to these systems. In this paper, to the quantized control problem given by the formulation of Halkin-typed linear control systems with two performance functions, a new definition on noninferior solutions of this system control problem and a heuristic effective search on these noninferior solutions are stated. By use of these concepts, two definitions on noninferior solutions and the algorithm consisted of 8 steps and attained by geometric approaches are given. And a numerical example using the present algorithm is shown.

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Image Recognition Based on Nonlinear Equalization and Multidimensional Intensity Variation (비선형 평활화와 다차원의 명암변화에 기반을 둔 영상인식)

  • Cho, Yong-Hyun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.5
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    • pp.504-511
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    • 2014
  • This paper presents a hybrid recognition method, which is based on the nonlinear histogram equalization and the multidimensional intensity variation of an images. The nonlinear histogram equalization based on a adaptively modified function is applied to improve the quality by adjusting the brightness of the image. The multidimensional intensity variation by considering the a extent of 4-step changes in brightness between the adjacent pixels is also applied to reflect accurately the attributes of image. The statistical correlation that is measured by the normalized cross-correlation(NCC) coefficient, is applied to comprehensively measure the similarity between the images. The NCC is considered by the intensity variation of each 2-direction(x-axis and y-axis) image. The proposed method has been applied to the problem for recognizing the 50-face images of 40*40 pixels. The experimental results show that the proposed method has a superior recognition performances to the method without performing the histogram equalization, or the linear histogram equalization, respectively.

The Role of Multi-dimensional Institutional Mechanisms in Building Trust on Online Marketplaces (온라인 마켓플레이스의 신뢰 형성과 다차원적 제도적 메커니즘의 역할)

  • Roh, Yoon Ho;Ok, Seok Jae
    • The Journal of Information Systems
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    • v.30 no.2
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    • pp.165-188
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    • 2021
  • Purpose This study was conducted to identify the multidimensional role of institutional mechanisms in the linear relationship of satisfaction, trust and repurchase intention, which are used as an important concept in the research of e-commerce. To this end, a research model was proposed by combining concepts which are the concept of perceived effectiveness of institutional mechanisms for overall e-commerce environment(e.g., PEEIM) and the concep of perceived effectiveness of institutional structures(e.g., PEIS) of a specific marketplace based on the social cognitive theory. Design/methodology/approach This study was conducted by dividing the data into two groups to identify institutional mechanisms and trust-building relationships according to the institutional contexts inherent in e-commerce. The institutional contexts were set up for the top two online companies and the bottom two online companies according to the results of the open market brand assessment from 2018 to 2019 in South Korea. Findings The result of this study found that PEIS had a direct impact on trust in both high and low groups respectively whereas PEEIM presented different paradoxical results in high and low groups. In the relationship between the satisfaction and the trust in the vendor of the high group, PEEIM showed negative moderating effects but in the relationship between the trust and the repurchase intention of the low group PEEIM showed positive moderating effects.