• 제목/요약/키워드: linear combination

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Characterization of Korean Porcelainsherds by Neutron Activation Analysis

  • Lee, Chul;Kang, Hyung-Tae;Kim, Seung-Won
    • Bulletin of the Korean Chemical Society
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    • 제9권4호
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    • pp.223-231
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    • 1988
  • Some pattern recognition methods have been used to characterize Korean ancient porcelainsherds using their elemental composition as analyzed by instrumental neutron activation analysis. A combination of analytical data by means of statistical linear discriminant analysis(SLDA) has resulted in removal of redundant variables, optimal linear combination of meaningful variables and formulation of classification rules. The plot in the first-to-second discriminant scores has shown that the three distinct territorial regions exist among porcelainsherds of Kyungki, Chunbuk-Chungnam, and Chunnam, with respective efficiencies of 20/30, 22/27 and 14/15. Similar regions have been found to exist among punchong porcelain and ceradonsherds of Kyungki, Chungnam and Chunbuk, with respective efficiencies of 7/9, 15/16 and 6/6. Classification has been further attempted by statistical isolinear multiple component analysis(SIMCA), using the sample set selected appropriately through SLDA as training set. For this purpose, all analytical data have been used. An agreement has generally been found between two methods, i.e., SLDA and SIMCA.

텔타규칙을 이용한 다단계 신경회로망 컴퓨터:Recognitron III (Multilayer Neural Network Using Delta Rule: Recognitron III)

  • 김춘석;박충규;이기한;황희영
    • 대한전기학회논문지
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    • 제40권2호
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    • pp.224-233
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    • 1991
  • The multilayer expanson of single layer NN (Neural Network) was needed to solve the linear seperability problem as shown by the classic example using the XOR function. The EBP (Error Back Propagation ) learning rule is often used in multilayer Neural Networks, but it is not without its faults: 1)D.Rimmelhart expanded the Delta Rule but there is a problem in obtaining Ca from the linear combination of the Weight matrix N between the hidden layer and the output layer and H, wich is the result of another linear combination between the input pattern and the Weight matrix M between the input layer and the hidden layer. 2) Even if using the difference between Ca and Da to adjust the values of the Weight matrix N between the hidden layer and the output layer may be valid is correct, but using the same value to adjust the Weight matrixd M between the input layer and the hidden layer is wrong. Recognitron III was proposed to solve these faults. According to simulation results, since Recognitron III does not learn the three layer NN itself, but divides it into several single layer NNs and learns these with learning patterns, the learning time is 32.5 to 72.2 time faster than EBP NN one. The number of patterns learned in a EBP NN with n input and output cells and n+1 hidden cells are 2**n, but n in Recognitron III of the same size. [5] In the case of pattern generalization, however, EBP NN is less than Recognitron III.

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훅조인트로 연결된 축계의 비선형 비틀림 진동 : 조합공진의 경우 (Nonlinear Torsional Oscillations of a System Incorporating a Hooke's Joint : Combination Resonances)

  • 장서일
    • 한국소음진동공학회논문집
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    • 제15권6호
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    • pp.706-711
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    • 2005
  • Torsional oscillations of a system incorporating a Hooke's joint are investigated by studying a simple similar nonlinear 2-degree-of-freedom model, which has linear and quadratic nonlinear parametric excitations. The simple system is identified to have the possibilities of primary, sub harmonic and combination resonances. The case of simultaneous primary and combination resonances is selected for perturbation analysis to have the reduced amplitude-equations of motion. The same procedure is applied to the system incorporating a Hooke's joint.

On Convex Combination of Local Constant Regression

  • Mun, Jung-Won;Kim, Choong-Rak
    • Communications for Statistical Applications and Methods
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    • 제13권2호
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    • pp.379-387
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    • 2006
  • Local polynomial regression is widely used because of good properties such as such as the adaptation to various types of designs, the absence of boundary effects and minimax efficiency Choi and Hall (1998) proposed an estimator of regression function using a convex combination idea. They showed that a convex combination of three local linear estimators produces an estimator which has the same order of bias as a local cubic smoother. In this paper we suggest another estimator of regression function based on a convex combination of five local constant estimates. It turned out that this estimator has the same order of bias as a local cubic smoother.

A Study on the Optimum Scheme for Determination of Operation Time of Line Feeders in Automatic Combination Weighers

  • Keraita James N.;Kim Kyo-Hyoung
    • Journal of Mechanical Science and Technology
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    • 제20권10호
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    • pp.1567-1575
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    • 2006
  • In an automatic combination weigher, the line feeders distribute the product to several weighing hoppers. The ability to supply appropriate amount of product to the weighing hoppers for each combination operation is crucial for the overall performance. Determining the right duration of operating a line feeder to supply a given amount of product becomes very challenging in case of products which are irregular in volume or specific gravity such as granular secondary processed foods. In this research, several schemes were investigated to determine the best way for a line feeder to approximate the next operating time in order to supply a set amount of irregular goods to the corresponding weighing hopper. Results obtained show that a weighted least squares method (WLS) employing 10 data points is the most effective in determining the operating times of line feeders.

DIRECTIONAL CONVEXITY OF COMBINATIONS OF HARMONIC HALF-PLANE AND STRIP MAPPINGS

  • Beig, Subzar;Ravichandran, Vaithiyanathan
    • 대한수학회논문집
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    • 제37권1호
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    • pp.125-136
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    • 2022
  • For k = 1, 2, let $f_k=h_k+{\bar{g_k}}$ be normalized harmonic right half-plane or vertical strip mappings. We consider the convex combination ${\hat{f}}={\eta}f_1+(1-{\eta})f_2={\eta}h_1+(1-{\eta})h_2+{\overline{\bar{\eta}g_1+(1-\bar{\eta})g_2}}$ and the combination ${\tilde{f}}={\eta}h_1+(1-{\eta})h_2+{\overline{{\eta}g_1+(1-{\eta})g_2}}$. For real 𝜂, the two mappings ${\hat{f}}$ and ${\tilde{f}}$ are the same. We investigate the univalence and directional convexity of ${\hat{f}}$ and ${\tilde{f}}$ for 𝜂 ∈ ℂ. Some sufficient conditions are found for convexity of the combination ${\tilde{f}}$.

변형 삼각간섭계에서의 위상오차에 관한 고찰 (Consideration about phase error of the MTI system)

  • 김수길;고명숙
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 2007년도 추계학술대회 논문집
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    • pp.169-171
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    • 2007
  • We need two operation modes to obtain the complex hologram without bias and the conjugate image in the modified triangular interferometer(MTI). To solve the problem, we proposed the optimized MTI with one wave plate, which can obtain cosine and sine functions by the combination of one wave plate and one linear polarizer. In the extraction of phase term using the combination of polarization components, the phase error occurs, and we simulated such potential phase errors in the optimized MTI.

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MNT 시스템에서의 편광소자에 의한 위상오차분석 (Optimization of Modified Triangular Interferometer)

  • 김수길;고명숙
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 2007년도 춘계학술대회 논문집
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    • pp.117-119
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    • 2007
  • We need two operation modes to obtain the complex hologram without bias and the conjugate image in the modified triangular interferometer(MTI). To solve the problem, we proposed the optimized MTI with one wave plate, which can obtain cosine and sine functions by the combination of one wave plate and one linear polarizer. In the extraction of phase term using the combination of polarization components, the phase error occurs, and we analyzed such potential phase errors in the optimized MTI.

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