• Title/Summary/Keyword: Convex combination

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Pattern Fabrication on Si (100) Surface by Using Both Nanoscratch and KOH Etching Technique (나노스크래치와 KOH 에칭 기술을 병용한 Si (100) 패턴제작)

  • 윤성원;이정우;강충길
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.448-451
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    • 2003
  • This study describes a new maskless nano-fabrication technique of Si (100) using the combination of nanometer-scale mechanical forming by nano-indenter XP and KOH wet etching. First the surface of a Si (100) specimen was machined by using the nano-machining system, which utilizes the mechanism of the nano-indenter XP. Next, the specimen was etched by KOH solution. After the etching process, the convex structure or deeper hole is made because of masking or promotion effect of the affected layer generated by nano-machining. On the basis of this interesting fact, some sample structures were fabricated.

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Maskless Nano-fabrication by using both Nanoscratch and HF Wet Etching Technique (나노스크래치와 HF 에칭기술을 병용한 Pyrex 7740의 마스크리스 나노 가공)

  • 윤성원;이정우;강충길
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.628-631
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    • 2003
  • This study describes a new mastless nano-fabrication technique of Pyrex 7740 glass using the combination of nanomachining by nano-indenter XP and HF wet etching. First, the surface of a Pyrex 7740 glass specimen was machined by using the nano-machining system, which utilizes the mechanism of the nano-indenter XP. Next, the specimen was etched by HF solution. After the etching process, the convex structure or deeper hole is made because of masking or promotion effect of the affected layer generated by nano-machining. On the basis of this interesting fact. some sample structures were fabricated.

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A CHARACTERIZATION OF M-HARMONICITY

  • Lee, Jae-Sung
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.1
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    • pp.113-119
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    • 2010
  • If f is M-harmonic and integrable with respect to a weighted radial measure $\upsilon_{\alpha}$ over the unit ball $B_n$ of $\mathbb{C}^n$, then $\int_{B_n}(f\circ\psi)d\upsilon_{\alpha}=f(\psi(0))$ for every $\psi{\in}Aut(B_n)$. Equivalently f is fixed by the weighted Berezin transform; $T_{\alpha}f = f$. In this paper, we show that if a function f defined on $B_n$ satisfies $R(f\circ\phi){\in}L^{\infty}(B_n)$ for every $\phi{\in}Aut(B_n)$ and Sf = rf for some |r|=1, where S is any convex combination of the iterations of $T_{\alpha}$'s, then f is M-harmonic.

GENERALIZING THE REFINED PICKANDS ESTIMATOR OF THE EXTREME VALUE INDEX

  • Yun, Seok-Hoon
    • Journal of the Korean Statistical Society
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    • v.33 no.3
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    • pp.339-351
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    • 2004
  • In this paper we generalize and improve the refined Pickands estimator of Drees (1995) for the extreme value index. The finite-sample performance of the refined Pickands estimator is not good particularly when the sample size n is small. For each fixed k = 1,2,..., a new estimator is defined by a convex combination of k different generalized Pickands estimators and its asymptotic normality is established. Optimal weights defining the estimator are also determined to minimize the asymptotic variance of the estimator. Finally, letting k depend upon n, we see that the resulting estimator has a better finite-sample behavior as well as a better asymptotic efficiency than the refined Pickands estimator.

The Design of Hybrid Fuzzy Controller Based on Parameter Estimation Mode Using Genetic Algorithms (유전자 알고리즘을 이용한 파라미터 추정모드기반 하이브리드 퍼지 제어기의 설계)

  • 이대근;오성권;장성환
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.228-231
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    • 2000
  • A hybrid fuzzy controller by means of the genetic algorithms is presented. The control input for the system in the HFC is a convex combination of the FLC's output in transient state and PlD's output in steady state by a fuzzy variable. The HFC combined a PID controller with a fuzzy controller concurrently produces the better output performance than any other controller. A auto-tuning algorithms is presented to automatically improve the performance of hybrid fuzzy controller using genetic algorithms. The algorithms estimates automatical Iy the optimal values of scaling factors, PID parameters and membership function parameters of fuzzy control rules. Especially, in order to auto-tune scaling factors and PID parameters of HFC using GA three kinds of estimation modes are effectively utilized. The HFCs are applied to the second process with time-delay. Computer simulations are conducted at step input and the performances of systems are evaluated and also discussed in ITAE(Integral of the Time multiplied by the Absolute value of Error ) and other ways.

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Hybrid Fuzzy Controller Based on Control Parameter Estimation Mode Using Genetic Algorithms (유전자 알고리즘을 이용한 제어파라미터 추정모드기반 HFC)

  • Lee, Dae-Keun;Oh, Sung-Kwun;Jang, Sung-Whan
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2545-2547
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    • 2000
  • In this paper, a hybrid fuzzy controller using genetic algorithm based on parameter estimation mode to obtain optimal control parameter is presented. First, The control input for the system in the HFC is a convex combination of the FLC's output in transient state and PID's output in steady state by a fuzzy variable, namely, membership function of weighting coefficient. Second, genetic algorithms is presented to automatically improve the performance of hybrid fuzzy controller utilizing the conventional methods for finding PID parameters and estimation mode of scaling factor. The algorithms estimates automatically the optimal values of scaling factors, PID parameters and membership function parameters of fuzzy control rules according to the rate of change and limitation condition of control input. Computer simulations are conducted to evaluate the performance of proposed hybrid fuzzy controller. ITAE, overshoot and rising time are used as a performance index of controller.

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ONNEGATIVE MINIMUM BIASED ESTIMATION IN VARIANCE COMPONENT MODELS

  • Lee, Jong-Hoo
    • East Asian mathematical journal
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    • v.5 no.1
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    • pp.95-110
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    • 1989
  • In a general variance component model, nonnegative quadratic estimators of the components of variance are considered which are invariant with respect to mean value translaion and have minimum bias (analogously to estimation theory of mean value parameters). Here the minimum is taken over an appropriate cone of positive semidefinite matrices, after having made a reduction by invariance. Among these estimators, which always exist the one of minimum norm is characterized. This characterization is achieved by systems of necessary and sufficient condition, and by a cone restricted pseudoinverse. In models where the decomposing covariance matrices span a commutative quadratic subspace, a representation of the considered estimator is derived that requires merely to solve an ordinary convex quadratic optimization problem. As an example, we present the two way nested classification random model. An unbiased estimator is derived for the mean squared error of any unbiased or biased estimator that is expressible as a linear combination of independent sums of squares. Further, it is shown that, for the classical balanced variance component models, this estimator is the best invariant unbiased estimator, for the variance of the ANOVA estimator and for the mean squared error of the nonnegative minimum biased estimator. As an example, the balanced two way nested classification model with ramdom effects if considered.

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Optimal shape design of contact systems

  • Mahmoud, F.F.;El-Shafei, A.G.;Al-Saeed, M.M.
    • Structural Engineering and Mechanics
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    • v.24 no.2
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    • pp.155-180
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    • 2006
  • Many applications in mechanical design involve elastic bodies coming into contact under the action of the applied load. The distribution of the contact pressure throughout the contact interface plays an important role in the performance of the contact system. In many applications, it is desirable to minimize the maximum contact pressure or to have an approximately uniform contact pressure distribution. Such requirements can be attained through a proper design of the initial surfaces of the contacting bodies. This problem involves a combination of two disciplines, contact mechanics and shape optimization. Therefore, the objective of the present paper is to develop an integrated procedure capable of evaluating the optimal shape of contacting bodies. The adaptive incremental convex programming method is adopted to solve the contact problem, while the augmented Lagrange multiplier method is used to control the shape optimization procedure. Further, to accommodate the manufacturing requirements, surface parameterization is considered. The proposed procedure is applied to a couple of problems, with different geometry and boundary conditions, to demonstrate the efficiency and versatility of the proposed procedure.

다중센서 융합 시스템 정보처리 기술

  • Kim, Do-Hyeong;Kim, Byeong-Du;Seo, Dae-Hui;Lee, Byeong-Gil
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2013.06a
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    • pp.374-376
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    • 2013
  • 다중 시스템 정보 융합 기술은 단일 시스템으로부터 수신되는 정보들보다 좀 더 정확하고 명확한 정보를 얻기 위하여, 다양한 시스템의 정보들을 연관된 정보들과 함께 비교, 평가, 종합하여 필요한 정보를 얻는 기술을 말한다. 이러한 정보 융합에 있어 동종 시스템, 동일 주기 정보들을 수신할 수 있지만 이종 시스템, 이종 주기 정보를 수신하여 정보를 융합할 경우도 있으며 단일 시스템의 장애로 인하여 정보를 제공할 수 없는 상황이 발생할 수 있다. 따라서 이종 시스템의 장애 발생 시에 다중센서 융합 시스템에서 정보들을 융합하고 이 정보를 제공함에 있어서 정보 제공 주기나 상황 변화를 효과적으로 처리하기 위한 기술을 본 논문에서 제시하고자 하며 가장 간단한 융합 방식인 Convex combination 융합을 적용하여 시뮬레이션을 통하여 결과를 비교 하였다.

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Manufacture of Doubly Curved Sheet Metals Using the Incremental Roll Forming Process and Prediction of Formed Shapes for Precision Forming (점진적 롤 성형공정을 이용한 이중곡률의 금속판재 제작 및 정밀성형을 위한 형상 예측)

  • 윤석준;양동열
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.9
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    • pp.95-102
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    • 2004
  • A flexible incremental roll forming process has been developed by adopting the advantages of the incremental forming process and the roll forming process: i.e., inherent flexibility of the incremental forming process and continuous bending deformation of the roll forming process. It has an adjustable roll set as a forming tool composed of one upper center roll and two pairs of lower support rolls, which plays a key role during forming process. Through the experiments based on the various combinations of process parameters, it is shown that the incremental roll forming process is so effective as to manufacture various doubly curved sheet metals including concave-convex combination shapes in which there exists a line of inflection. The proposed relationship of the experimental parameters and the radius of curvature of the formed sheet boundary is found to be useful in prediction and control of the final shape.