• Title/Summary/Keyword: Linear map

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Non-linear PLS based on non-linear principal component analysis and neural network (비선형 주성분해석과 신경망에 기반한 비선형 PLS)

  • 손정현;정신호;송상옥;윤인섭
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.394-394
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    • 2000
  • This Paper proposes a new nonlinear partial least square method that extends the linear PLS. Proposed nonlinear PLS uses self-organizing feature map as PLS outer relation and multilayer neural network as PLS inner regression method.

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Generalized Cylinder based on Linear Interpolation by Direction Map

  • Kim, Hyun;Kim, Hyoung-Sun;Lee, Joo-Haeng
    • International Journal of CAD/CAM
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    • v.3 no.1_2
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    • pp.77-83
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    • 2003
  • We propose two algorithms to generate (1) polygonal meshes and (2) developable surface patches far generalized cylinders defined by contours of discrete curves. To solve the contour blending problem of generalized cylinder, the presented algorithms have adopted the algorithm and related properties of LIDM (linear interpolation by direction map) that interpolate geometric shapes based on direction map merging and group scaling operations. Proposed methods are fast to compute and easy to implement.

A Design of Turbo Decoder for 3GPP using Log-MAP Algorithm (Log-MAP을 사용한 3GPP용 터보 복호기의 설계)

  • Kang, Heyng-Goo;Jeon, Heung-Woo
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.1
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    • pp.533-536
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    • 2005
  • MAP algorithm is known for optimal decoding algorithm of Turbo codes, but it has very large computational complexity and delay. Generally log-MAP algorithm is used in order to overcome the defect. In this paper we propose modified scheme of the state metric calculation block which can improve the computation speed in log-MAP decoder and simple linear offset unit without using LUT. The simulation results show that the operation speed of the proposed scheme is improved as compared with that of the past scheme.

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Practical Construction of Tsunami Inundation Map Corresponding to Disaster Forecast/Warning Systems (지진해일 예경보에 따른 범람도의 실용적 작성)

  • Jeon, Young-Joon;Choi, Jun-Woo;Yoon, Sung-Bum
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.775-778
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    • 2008
  • In general, forecast tsunami heights announced for tsunami warning are computed by using a linear tsunami model with coarse grids which leads the underestimation of inundation area. Thus, an accurate tsunami inundation map corresponding to the forecast tsunami height is indispensible for an emergency evacuation plan. A practical way to construct a relatively accurate tsunami inundation map was proposed in this study for the quantitative forecast of inundation area. This procedure can be introduced as in the followings: The fault dislocations of potential tsunami sources generating a specific tsunami height near an interested area are found by using a linear tsunami model. Based on these fault dislocations, maximum inundation envelops of the interested area are computed and illustrated by using nonlinear inundation numerical model. In this study, the tsunami inundation map for Imwon area was constructed according to 11 potential tsunami sources, and the validity of this process was examined.

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STRONG COMMUTATIVITY PRESERVING MAPS OF UPPER TRIANGULAR MATRIX LIE ALGEBRAS OVER A COMMUTATIVE RING

  • Chen, Zhengxin;Zhao, Yu'e
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.973-981
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    • 2021
  • Let R be a commutative ring with identity 1, n ≥ 3, and let 𝒯n(R) be the linear Lie algebra of all upper triangular n × n matrices over R. A linear map 𝜑 on 𝒯n(R) is called to be strong commutativity preserving if [𝜑(x), 𝜑(y)] = [x, y] for any x, y ∈ 𝒯n(R). We show that an invertible linear map 𝜑 preserves strong commutativity on 𝒯n(R) if and only if it is a composition of an idempotent scalar multiplication, an extremal inner automorphism and a linear map induced by a linear function on 𝒯n(R).

ON DIAMETER PRESERVING LINEAR MAPS

  • Aizpuru, Antonio;Tamayo, Montserrat
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.197-204
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    • 2008
  • We study diameter preserving linear maps from C(X) into C(Y) where X and Y are compact Hausdorff spaces. By using the extreme points of $C(X)^*\;and\;C(Y)^*$ and a linear condition on them, we obtain that there exists a diameter preserving linear map from C(X) into C(Y) if and only if X is homeomorphic to a subspace of Y. We also consider the case when X and Y are noncompact but locally compact spaces.

The Mutual Information for Bit-Linear Linear-Dispersion Codes (BLLD 부호의 Mutual Information)

  • Jin, Xiang-Lan;Yang, Jae-Dong;Song, Kyoung-Young;No, Jong-Seon;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.10A
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    • pp.958-964
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    • 2007
  • In this paper, we derive the relationship between the bit error probability (BEP) of maximum a posteriori (MAP) bit detection and the bit minimum mean square error (MMSE), that is, the BEP is greater than a quarter of the bit USE and less than a half of the bit MMSE. By using this result, the lower and upper bounds of the derivative of the mutual information are derived from the BEP and the lower and upper bounds are easily obtained in the multiple-input multiple-output (MIMO) communication systems with the bit-linear linear-dispersion (BLLD) codes in the Gaussian channel.

Analysis of Response behaviors of offshore mooring structures by a piecewise-linear system (구분적선형시스템을 이용한 해양 구조물의 거동분석)

  • 마호성
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.251-265
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    • 1997
  • A piecewise-linear system is utilized to model the offshore mooring system. The approximated piecewise-linear restoring force is obtained to be compared with the analytically derived restoring force of a mooring system. Two systems are compared to verify the applicability of the piecewise-linear system to evaluate responses of the mooring system. Using the piecewise-linear system, the response behaviors of mooring systems are examined under various excitations. Nonlinearity of the system and effects of both system and excitation parameters are intensively examined. System responses are identified mainly by observing Poincare maps. The mooring system is found to have various types of responses such as regular harmonic, subharmonic and complex nonlinear behaviors, including chaos by utilizing a piecewise-linear system. Various values of parameters are applied to determine the effects of parameters upon system responses. Response domains are determined by establishing parametric maps.

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