• Title/Summary/Keyword: 가우스함수

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An Improvement of Performance for Cascade Correlation Learning Algorithm using a Cosine Modulated Gaussian Activation Function (코사인 모듈화 된 가우스 활성화 함수를 사용한 캐스케이드 코릴레이션 학습 알고리즘의 성능 향상)

  • Lee, Sang-Wha;Song, Hae-Sang
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.3
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    • pp.107-115
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    • 2006
  • This paper presents a new class of activation functions for Cascade Correlation learning algorithm, which herein will be called CosGauss function. This function is a cosine modulated gaussian function. In contrast to the sigmoidal, hyperbolic tangent and gaussian functions, more ridges can be obtained by the CosGauss function. Because of the ridges, it is quickly convergent and improves a pattern recognition speed. Consequently it will be able to improve a learning capability. This function was tested with a Cascade Correlation Network on the two spirals problem and results are compared with those obtained with other activation functions.

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가우스 전위함수를 가지는 신경회로망 모델

  • O, Sang-Hun;Kim, Meong-Won
    • Electronics and Telecommunications Trends
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    • v.5 no.2
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    • pp.39-50
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    • 1990
  • 다층 퍼셉트론 신경회로망 모델이 여러가지 복잡한 문제를 역전파 학습에 의하여 해결할 수 있다고 보고된 후로, 이 모델을 이용한 응용분야의 연구가 활발하다. 그렇지만, 이 다층 퍼셉트론 모델은 오랜 학습시간이 필요하며, 또 분류경계가 입력층과 숨겨진 층간의 연결가중치에 의해 결정되는 초기하 평면의 조합으로 이루어지기 때문에, 숨겨진 층의 뉴런 수가 부족하면 분류경계를 제대로 나타낼 수 없게 된다. 이러한 단점들을 극복하기 위하여 숨겨진 층의 활성화 함수는 시그모이드 형태가 아닌 가우스 함수가 되도록 하고 이 가우스 함수들의 선형적 합에 의하여 출력층 뉴런들의 값이 결정되는, 즉, 가우스 함수가 출력층의 전위함수(potential function)가 되는 신경회로망이 여러번 제안되었다. 본 논문에서는 가우스 함수를 전위함수로 가지는 신경회로망 모델들에 대하여 이 모델들의 실제 응용 예와 함께 알아보겠다.

Subthreshold Characteristics of Double Gate MOSFET for Gaussian Function Distribution (가우스함수의 형태에 따른 DGMOSFET의 문턱전압이하특성)

  • Jung, Hak-Kee;Han, Ji-Hyung;Lee, Jong-In;Kwon, Oh-Shin
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.716-718
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    • 2012
  • This paper have presented the change for subthreshold characteristics for double gate(DG) MOSFET based on scaling theory and the shape of Gaussian function. To obtain the analytical solution of Poisson's equation, Gaussian function been used as carrier distribution and consequently potential distributions have been analyzed closely for experimental results, and the subthreshold characteristics have been analyzed for the shape parameters of Gaussian function such as projected range and standard projected deviation. Since this potential model has been verified in the previous papers, we have used this model to analyze the subthreshold chatacteristics. The scaling theory is to sustain constant outputs for the change of device parameters. As a result to apply the scaling theory for DGMOSFET, we know the subthreshold characteristics have been greatly changed, and the change of threshold voltage is bigger relatively.

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Fabrication of a gaussian amplitude modulation plate and measurement of diffraction linewidth (가우스 진폭변조판의 제작 및 회절 선폭 측정)

  • 송영란;이민희;이상수
    • Korean Journal of Optics and Photonics
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    • v.10 no.6
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    • pp.448-452
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    • 1999
  • The Gaussian impulse fUllction initially assumed in the inverse problem is $e^{-\sigma^2\chi^2}$. The modified Gaussian amplitude pupil function $e^{\frac-{\omega^2}{4\sigma^2}$ is obtained by the inverse Fourier transform of $e^{-\sigma^2\chi^2}$. A Gaussian amplitude modulation plate (GAMP) is designed and fabricated by using absorption and transparence glass which are the same refractive index. It is compared the experimental transmittance with theoretical that of GAMP. It is found that the linewidth of Gaussian optical imaging system obtained by wavelength is $0.365{\mu}m$ and NA is 0.07 is decrease 2/3 than that of Rayleigh.

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Analysis of the effect of damage fields containing stochastic uncertainty on stiffness reduction (확률적 불확실성을 포함한 손상 장에서의 강성 저감 효과 분석)

  • Noh, Myung-Hyun;Lee, Sang-Youl;Park, Tae-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.357-361
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    • 2011
  • 본 논문에서는 확률적 불확실성을 포함한 손상 장에서 강성저감 효과를 추정하는 방법을 제안하였다. 실제 교량 구조물에 분포된 손상 장은 매우 불확실하며 손상의 위치와 형상 또한 정확히 알 수 없는 경우가 많다. 그러나 대부분의 손상 추정 문제는 균열이나 손상의 위치와 형상을 기지의 주어진 정보로 가정하고 손상을 추정한다. 제안 기법에서는 이러한 손상의 위치와 형태가 본질적으로 불확실하다는 가정 하에 이 불확실성을 수정 가우스 강성 저감 분포 함수를 도입하여 기술한다. 교량에 국부적으로 발생된 손상은 교량의 요소강성의 저감 분포로 변환되어 손상이 발생한 전체 시스템의 강성을 표현하고 이를 통해 손상이 발생한 시스템의 전체 응답을 해석할 수 있게 된다. 수정 가우스 강성 저감 분포 함수는 손상 분포의 개략적 중심을 표현하는 평균 변수와 강성 저감의 비국소적 분포 특성을 묘사하는 표준편차 변수, 손상 중심의 손상 정도를 표현하는 강성저감 변수로 구성된다. 본 논문에서는 손상 장에서 손상의 위치나 형태에 대한 확률적 불확실성을 기술하는 수정 가우스 강성 저감 분포 함수를 포함한 유한요소모델을 정식화하여 제시한다. 또한 단일 또는 복합 균열로 인해 교량 구조물에 국부적인 손상이 야기된 경우에 대한 수치 예제를 통하여 균열 등에 대한 정보가 불확실하더라도 수정 가우스 강성 저감 분포 함수를 통해 강성 저감 효과가 분석될 수 있음을 확인하였다.

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Analysis of Subthreshold Swing for Double Gate MOSFET Using Gaussian Function (가우스함수를 이용한 DGMOSFET의 문턱전압이하 스윙분석)

  • Jung, Hak-Kee;Han, Ji-Hyung;Lee, Jae-Hyung;Jeong, Dong-Soo;Lee, Jong-In;Kwon, Oh-Shin
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.05a
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    • pp.681-684
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    • 2011
  • In this paper, the relationship of potential and charge distribution in channel for double gate(DG) MOSFET has been derived from Poisson's equation using Gaussian function. The subthreshold swing has been investigated according to projected range and standard projected deviation, variables of Gaussian function. The analytical potential distribution model has been derived from Poisson's equation, and subthreshold swing has been obtained from this model. The subthreshold swing has been defined as the derivative of gate voltage to drain current and is theoretically minimum of 60mS/dec, and very important factor in digital application. Those results of this potential model are compared with those of numerical simulation to verify this model. As a result, since potential model presented in this paper is good agreement with numerical model, the subthreshold swings have been analyzed according to the shape of Gaussian function.

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Subthreshold Characteristics of Double Gate MOSFET for Gaussian Function Distribution (도핑분포함수의 형태에 따른 DGMOSFET의 문턱전압이하특성)

  • Jung, Hak-Kee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.6
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    • pp.1260-1265
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    • 2012
  • This paper have presented the change for subthreshold characteristics for double gate(DG) MOSFET based on scaling theory and the shape of Gaussian function. To obtain the analytical solution of Poisson's equation, Gaussian function been used as carrier distribution and consequently potential distributions have been analyzed closely for experimental results, and the subthreshold characteristics have been analyzed for the shape parameters of Gaussian function such as projected range and standard projected deviation. Since this potential model has been verified in the previous papers, we have used this model to analyze the subthreshold chatacteristics. The scaling theory is to sustain constant outputs for the change of device parameters. As a result to apply the scaling theory for DGMOSFET, we know the subthreshold characteristics have been greatly changed, and the change of threshold voltage is bigger relatively.

Characteristics of Everett Function Formulated with Gaussian Distribution (가우스 분포에 의해 정식화된 에버렐 함수의 특성)

  • Hong, Sun-Ki;Kim, Hong-Kyu;Lee, Chang-Hwan;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.15-17
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    • 1997
  • 에버�� 함수는 상호자계 축을 따라 가우스 분포를 가지므로 정식화될 수 있다. 본 연구에서는 에버렐 함수의 정식화 원리를 설명하고, 오차를 최소화하기 위해 최소 자승법을 도입한다. 이로부터 얻은 에버렐 함수로부터 히스테리시스 루프를 시뮬레이션하고, 이를 통해 제안된 방법의 타당성을 확인한다.

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Analysis of Subthreshold Swing for Doping Distribution Function of Asymmetric Double Gate MOSFET (도핑분포함수에 따른 비대칭 MOSFET의 문턱전압이하 스윙 분석)

  • Jung, Hakkee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.5
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    • pp.1143-1148
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    • 2014
  • This paper has analyzed the change of subthreshold swing for doping distribution function of asymmetric double gate(DG) MOSFET. The basic factors to determine the characteristics of DGMOSFET are dimensions of channel, i.e. channel length and channel thickness, and doping distribution function. The doping distributions are determined by ion implantation used for channel doping, and follow Gaussian distribution function. Gaussian function has been used as carrier distribution in solving the Poisson's equation. Since the Gaussian function is exactly not symmetric for top and bottome gates, the subthreshold swings are greatly changed for channel length and thickness, and the voltages of top and bottom gates for asymmetric double gate MOSFET. The deviation of subthreshold swings has been investigated for parameters of Gaussian distribution function such as projected range and standard projected deviation in this paper. As a result, we know the subthreshold swing is greatly changed for doping profiles and bias voltage.

Diffraction Amplitude Distribution of Finite Gaussian Pupil with Residual Aberrations (잔류수차가 있는 유한 가우스 동의 회절진폭 분포)

  • 송영란;이민희;이상수
    • Korean Journal of Optics and Photonics
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    • v.9 no.3
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    • pp.142-145
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    • 1998
  • It is shown that the optical system with Gaussian pupil e, diffraction amplitude distribution is not affected by the presence of residual aberrations. The case of spherical aberration is treated, as an example, and the complex diffraction amplitude distribution at the neighbourhood of the image point is described analytically by using a recurrence formula.

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