• Title/Summary/Keyword: 결과수렴성

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An Enhanced Fuzzy Single Layer Perceptron With Linear Activation Function (선형 활성화 함수를 이용한 개선된 퍼지 단층 퍼셉트론)

  • Park, Choong-Shik;Cho, Jae-Hyun;Kim, Kwang-Baek
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.7
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    • pp.1387-1393
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    • 2007
  • Even if the linearly separable patterns can be classified by the conventional single layer perceptron, the non-linear problems such as XOR can not be classified by it. A fuzzy single layer perceptron can solve the conventional XOR problems by applying fuzzy membership functions. However, in the fuzzy single layer perception, there are a couple disadvantages which are a decision boundary is sometimes vibrating and a convergence may be extremely lowered according to the scopes of the initial values and learning rates. In this paper, for these reasons, we proposed an enhanced fuzzy single layer perceptron algorithm that can prevent from vibration the decision boundary by introducing a bias term and can also reduce the learn time by applying the modified delta rule which include the learning rates and the momentum concept and applying the new linear activation function. Consequently, the simulation results of the XOR and pattern classification problems presented that the proposed method provided the shorter learning time and better convergence than the conventional fuzzy single layer perceptron.

Plastic Hinge Modeling Based on Lumped Plasticity using a Generalized Finite Element Method (일반유한요소법을 이용한 집중소성힌지 모델링)

  • Son, Hong-Jun;Rhee, Seung-Ho;Kim, Dae-Jin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.381-388
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    • 2018
  • This paper presents a generalized finite element formulation for plastic hinge modeling based on lumped plasticity in the classical Euler-Bernoulli beam elements. In this approach, the plastic hinges are effectively modeled using proper enrichment functions describing weak discontinuities of the solution. The proposed methodology enables the insertion of plastic hinges at an arbitrary location without modifying the connectivity of elements. The formations of plastic hinges are instead achieved by hierarchically adding degrees of freedom to existing elements. Convergence analyses such as h- and p-extensions are performed to investigate the effectiveness of the proposed method. The analysis results indicate that the proposed generalized finite element method can achieve theoretical convergence rates for both cases where plastic hinges are located at nodes and within an element, thus demonstrating its accuracy.

A Study on Estimate for Error and Convergence of Membrane Structures According to the Nonlinear Form-finding Techniques (비선형 형상 탐색 기법에 따른 막구조물의 오차와 수렴성 평가에 관한 연구)

  • Shon, Su-Deok;Kim, Seung-Deog;Jeong, Eul-Seok;Jeon, Jin-Hyung
    • Journal of Korean Association for Spatial Structures
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    • v.7 no.3 s.25
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    • pp.57-66
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    • 2007
  • The membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The material property of the membrane has strong axial stiffness, but little bending stiffness. The design procedure of membrane structures are needed to do shape finding, stress-deformation analysis and cutting pattern generation. In shape finding, membrane structures are unstable structures initially. These soft structures need to be introduced initial stresses because of its initial unstable state, and happen large deformation phenomenon. Therefore, in this paper, we investigate the convergence of solution and the speed according to the control variables and the method of shape analysis.

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Study on the Convergency Improvement Method for the Saturation-Property Calculation of Multi-Component Hydrocarbon Systems (다성분 탄화수소혼합물 포화물성해석 수렴도 향상 연구)

  • Shin, Chang-Hoon;An, Seung-Hee;Lee, Jeong-Hwan;Sung, Won-Mo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.10
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    • pp.947-955
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    • 2010
  • Most oil and gas reservoirs, which have some light hydrocarbon components, show sensitive phase behavior in response to changes in the composition of the internal fluid. When evaluating and developing plans for oil and gas fields, flash calculation, PVT analysis, and saturation-property calculation are necessary for analyzing reservoir characteristics and pipeline flows. In general, the determination of saturation properties such as dew point and bubble point is considered a difficult task because of the poor convergence of the calculation methods. In this study, several new initial-value-guessing methods and root-finding methods are proposed; parametric analysis were carried out to verify the improvement in convergence. Finally, these new ideas and methods were successfully applied to the new GUI based multi-phase behavior simulator.

An Improved Robust Fuzzy Principal Component Analysis (잡음 민감성이 개선된 퍼지 주성분 분석)

  • Heo, Gyeong-Yong;Woo, Young-Woon;Kim, Seong-Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.5
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    • pp.1093-1102
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    • 2010
  • Principal component analysis (PCA) is a well-known method for dimension reduction while maintaining most of the variation in data. Although PCA has been applied to many areas successfully, it is sensitive to outliers. Several variants of PCA have been proposed to resolve the problem and, among the variants, robust fuzzy PCA (RF-PCA) demonstrated promising results. RF-PCA uses fuzzy memberships to reduce the noise sensitivity. However, there are also problems in RF-PCA and the convergence property is one of them. RF-PCA uses two different objective functions to update memberships and principal components, which is the main reason of the lack of convergence property. The difference between two functions also slows the convergence and deteriorates the solutions of RF-PCA. In this paper, a variant of RF-PCA, called RF-PCA2, is proposed. RF-PCA2 uses an integrated objective function both for memberships and principal components. By using alternating optimization, RF-PCA2 is guaranteed to converge on a local optimum. Furthermore, RF-PCA2 converges faster than RF-PCA and the solutions found are more similar to the desired solutions than those of RF-PCA. Experimental results also support this.

Analysis of Correlation between Geometry Elements for the Efficient Use of Satellite Stereo Images (효율적인 스테레오 위성자료 활용을 위한 기하요소 간 상관성 분석)

  • Jeong, Jaehoon
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.34 no.5
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    • pp.471-478
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    • 2016
  • This paper proposes the results of analysis of correlation between satellite geometry elements for an effective use of satellite images. To achieve accurate positional information, stereo images have normal range of convergence and BIE (BIsector Elevation) angles which are greatly influenced by azimuth and elevation angle of individual image. In this paper, the variations of convergence and BIE angles are estimated according to azimuth angle differences between two images and each elevation angle. The analysis provided strong support for predicting stereo geometry without complex analysis of epiploar geometry or mathematics. The experiment results showed that more than 150°, 130°, and 100° azimuth angle differences need to be constructed when elevation angle of two images is 50°, 60°, and 70°, respectively, in order to make the convergence and BIE angle within normal range. The results are expected to be fully used for various application using stereo images.

A Study on the Heat Transfer Analysis of High-Temperature Single Bubble in Water (수중 고온 단일 기포의 열전달 해석 연구)

  • SeokTae Yoon
    • Journal of Korea Society of Industrial Information Systems
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    • v.29 no.1
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    • pp.117-123
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    • 2024
  • Bubbles generated in water receive an upward buoyant force due to the density and pressure difference of the surrounding fluid. Additionally, the behavior, shape, and heat exchange process of bubbles vary depending on the viscosity, surface tension, rising speed, and size difference with the surrounding fluid. In this study, we modeled speed, and heat transfer of a high-temperature single bubble rising in a cylindrical water tank. For this purpose, velocity, and temperature of the bubbles were calculated using theoretical equations, to be compared with numerical simulation results. The numerical analysis was performed using a commercial software, and the stability of the numerical analysis with mesh size was confirmed through calculation of the grid convergence index. The numerical analysis of the rising speed and temperature of a single bubble showed the values to converge when the minimum cell size was 1/160 of the bubble diameter, and the temperature decrease was confirmed to be the same as that of the surrounding fluid within 0.05 seconds.

Input Output Linearization Technique Analysis for Capacitive Sensor using Algebraic Loop (대수 루프를 이용한 용량형 센서의 입출력 선형화 기법 연구)

  • Sung, Sang-Kyung;Lee, Jang-Gyu
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.564-566
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    • 1999
  • 계측 시스템이나 시스템 식별을 수행할 때 정확히 모델링 되는 플랜트를 가정할 경우, 입출력 신호간 혹은 상태 변수들 사이의 비선형 함수 관계를 유도해 낼 수 있다. 그런데 특히 비선형 함수가 매우 복잡하여 해를 닫힌 형태로 구할 수 없을 경우 고려하는 변수들 양자간의 수학적 모델링을 기반으로 루프내 변수가 방정식의 해로 수렴하는 대수 루프를 구성할 수 있다. 이는 모델을 정확히 아는 시스템에 대하여 출력으로부터 입력을 추정하는 역시스템(inverse system)을 구성하는 것과 유사하다. 이러한 개념을 응용한 간단한 예로 용량형 센서의 입출력 비선형성을 제거해주는 역시스템을 대수 루프를 통하여 구현하였다. 또한 구현한 루프가 항상 유일한 해로 수렴할 수 있도록 하는 조건을 구하였다. 해석된 결과를 바탕으로 구현된 루프가 컴퓨터 시뮬레이션 및 아날로그 회로 실험에서도 잘 동작함을 검증하였다. 시뮬레이션 결과로 보인 잡음에 대한 강인성과 실제 회로 실험 결과는 대수 루프의 구현이 실제 용량형 센서 등에 용이하게 적용될 수 있음을 보여준다.

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Improved Orthogonal Projection Method for Implementing Acoustic Echo Canceller (음향반향제거기의 구현을 위한 개선된 직교투사법)

  • Lee Haeng-Woo
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.43 no.2 s.308
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    • pp.73-81
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    • 2006
  • This paper proposes the improved orthogonal projection method as a new technique advancing the performance of the acoustic echo canceller. Comparing with the widely used NLMS adaptive algorithm which is simple and stable, it shows that this method has the improvement of the convergence speed for signals with the large auto-correlation, and has small computational quantities. In order to testify performances of the orthogonal projection method whom this paper proposes, we have coded a simulation program md executed computer simulations. We observed convergence curves by using two adaptive algorithm for noises and speeches. From simulation results for two input signals, the proposed method shows the high ERLE and the fast convergence and the stable operation in case of using speeches as well as noises.

A convergence analysis of a differential method for 2-D motion parameter estimation (미분 추정 기법에 의한 2파원 이동 파라미터 추정의 수렴 특성 분석)

  • 이상희;유국열;김재균
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.7
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    • pp.1869-1882
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    • 1998
  • In this paper, we investigae convergence behaviors of a differential method for 2-D motion parameter estimation. While the differential method is widely studied for motion compensated prediction in video coding, little attention hs been paid to its convergence properties. Based on the nonseparable exponential covariance image model, we derive the estimates of update terms for the 2- and 6-parameter motion models. And, the effect of noise, spatial correlation, choice of spatial gradient measures, andthe size of a region, are quantitatively anlyzed in relation to the convergence speed. Some empirical results are presented to verify the analysis.

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