• Title/Summary/Keyword: norm

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Convergence Analysis of the Modified Adaptive Sign (MAS) Algorithm Using a Mixed Norm Error Criterion

  • Lee, Young-Hwan
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.3E
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    • pp.62-68
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    • 1997
  • In this paper, a modified adaptive sign (MAS) algorithm based on a mixed norm error criterion is proposed. The mixed norm error criterion of be minimized is constructed as a combined convex function of the mean-absolute error and the mean-absolute error to the third power. A convergence analysis of the MAS algorithm is also presented. Under a set of mild assumptions, a set of nonlinear evolution equations that characterizes the statistical mean and mean-squared behavior of the algorithm is derived. Computed simulations are carried out to verify the validity of our derivations.

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Contents and characteristic of family norm education appeared in chosun Dynasty (조선초 규범서에 나타난 가정규범교육의 내용과 특징)

  • 이길표
    • Journal of the Korean Home Economics Association
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    • v.32 no.4
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    • pp.1-14
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    • 1994
  • This stydy is to find reorganizning clue for oun decolorrizning domestic norm education trachg from chosun Dynasty. The study examinecl recent reseanch for the necess and problems of family norm education and analyized contents and traits of family education dunny chosun dynasty appeared in documents. The results: countesy is practiced in the field of eating clothing language greetrings and manners emphasized on respecting others and orders should be kept by acknowledging living rules. This family education in traditional society is also meaningful in modern sense, so we habe to follow the suit on the tradition.

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Robust H$_\infty$ Control for Discrete Time-delay Linear Systems with Frobenius Norm-bounded Uncertainties (파라미터 불확실성을 가지는 이산 시간지연 시스템에 대한 견실 H$_\infty$ 제어)

  • 김기태;이형호;이상경;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.23-23
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    • 2000
  • In this paper, we proposed the problems of robust stability and 개bust H$_{\infty}$ control of discrete time-delay linear st.stems with Frobenius norm-bounded uncertainties. The existence condition and the design method of robust H$_{\infty}$ state feedback control]or are given. Through some changes of variables and Schur complement, the obtained sufficient condition can be rewritten as an LMI(linear matrix inequality) form in terms of all variables.

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Algorithms for Balancing Weighted-Leaf Binary Tree (무게 있는 리프 이진 트리 균형 문제를 해결하는 알고리즘)

  • 이동규;백낙훈;이종원;류관우
    • Proceedings of the Korean Information Science Society Conference
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    • 2000.04a
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    • pp.692-694
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    • 2000
  • 본 논문에서는 이진 트리 형태를 가지는 다관절체의 균형을 잡거나 이진 트리 모양으로 연결된 네트워크 상에서 단말 노드들의 부하를 균형 있게 하는데 이용할 수 있는 무게 있는 리프 이진 트리 균형 문제를 제안한다. 또한 무게 있는 리프 이진 트리 균형 문제를 리프들의 무게 변화량의 쌍의 {{{{ { l}_{ 1} }}}}-norm, {{{{ { l}_{2 } }}}}-norm, {{{{ { l}_{3 } }}}}-norm 각각을 최소로 하면서 해결하는 방법들을 제안한다. 이 방법들은 무게 있는 리프 이진 트리 균형 문제의 특성을 이용하여 n개 변수를 하나의 변수의 양의 상수배로 나타냄으로써 해결할 수 있음을 보인다.

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HDR Image Synthesis Using Truncated Nuclear Norm Minimization (Truncated Nuclear Norm 최소화를 이용한 HDR 영상 합성)

  • Lee, Chul
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2015.11a
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    • pp.108-109
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    • 2015
  • 본 논문은 low-rank 행렬의 truncated nuclear norm 최소화를 이용한 HDR (high dynamic range) 영상 합성 기법을 제안한다. 제안하는 기법에서는 기존의 LDR (low dynamic range) 영상에서 얻은 밝기의 선형 관계에 기반하여 HDR 합성을 low-rank 행렬 완성 문제로 변환한 후, ALM (augmented Lagrange multiplier) 기법을 이용하여 효율적으로 최적의 해를 구한다. 컴퓨터 모의실험을 통해 제안하는 기법이 기존 기법에 비해서 낮은 계산 복잡도를 보이면서도 더 높은 품질의 HDR 영상을 합성하는 것을 확인한다.

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The p-Norm of Log-likelihood Difference Estimation Algorithm for Hidden Markov Models (로그 우도 차이의 P-norm에 기반한 은닉 마르코프 파라미터 추정 알고리듬)

  • Yun, Sung-Rack;Yoo, Chang-D.
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.307-308
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    • 2007
  • This paper proposes a discriminative training algorithm for estimating hidden Markov model (HMM) parameters. The proposed algorithm estimates the Parameters by minimizing the p-norm of log-likelihood difference (PLD) between the utterance probability given the correct transcription and the most competitive transcription.

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Distributivity of fuzzy numbers

  • Hong, Dug-Hun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.22-24
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    • 2002
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy Quantities based on the extension principle suggested by Mares (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous f-norm which holds the distributivity under f-norm based fuzzy arithmetic operations.

APPLICATIONS OF HILBERT SPACE DISSIPATIVE NORM

  • Kubrusly, Carlos S.;Levan, Nhan
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.99-107
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    • 2012
  • The concept of Hilbert space dissipative norm was introduced in [8] to obtain necessary and sufficient conditions for exponential stability of contraction semigroups. In the present paper we show that the same concept can also be used to derive further properties of contraction semigroups, as well as to characterize strongly stable semigroups that are not exponentially stable.