• 제목/요약/키워드: Exponential function

검색결과 943건 처리시간 0.027초

Reliability Estimation for the Exponential Distribution under Multiply Type-II Censoring

  • Kang, Suk-Bok;Lee, Sang-Ki;Choi, Hui-Taeg
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2005년도 추계학술대회
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    • pp.13-26
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    • 2005
  • In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and location parameter of the exponential distribution based on multiply Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples. We also obtain the approximate maximum likelihood estimator (AMLE) of the reliability function by using the proposed estimators. And then we compare the proposed estimators in the sense of the mean squared error.

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ON GLOBAL EXPONENTIAL STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS

  • Kwon, O.M.;Park, Ju-H.;Lee, S.M.
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.961-972
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    • 2008
  • In this paper, we consider the global exponential stability of cellular neural networks with time-varying delays. Based on the Lyapunov function method and convex optimization approach, a novel delay-dependent criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, the interior point algorithm is utilized in this work. Two numerical examples are given to show the effectiveness of our results.

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Applicability of exponential stress-strain models for carbonate rocks

  • Palchik, Vyacheslav
    • Geomechanics and Engineering
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    • 제15권3호
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    • pp.919-925
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    • 2018
  • Stress-strain responses of weak-to-strong carbonate rocks used for tunnel construction were studied. The analysis of applicability of exponential stress-strain models based on Haldane's distribution function is presented. It is revealed that these exponential equations presented in transformed forms allow us to predict stress-strain relationships over the whole pre-failure strain range without mechanical testing of rock samples under compression using a press machine and to avoid measurements of axial failure strains for which relatively large values of compressive stress are required. In this study, only one point measurement (small strain at small stress) using indentation test and uniaxial compressive strength determined by a standard Schmidt hammer are considered as input parameters to predict stress-strain response from zero strain/zero stress up to failure. Observations show good predictive capabilities of transformed stress-stress models for weak-to-strong (${\sigma}_c$ <100 MPa) heterogeneous carbonate rocks exhibiting small (< 0.5 %), intermediate (< 1 %) and large (> 1 %) axial strains.

Analysis and Optimization of Bidirectional Exponential SC Power Conversion Circuits

  • Ye, Yuanmao;Peng, Wei;Jiang, Bijia;Zhang, Xianyong
    • Journal of Power Electronics
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    • 제18권3호
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    • pp.672-680
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    • 2018
  • A bidirectional exponential-gain switched-capacitor (SC) DC-DC converter is developed in this paper. When compared with existing exponential SC converters, the number of switches is significantly reduced and its structure is simplified. The voltage transfer features, voltage ripple across capacitors, efficiency and output impedance of the proposed converter are analyzed in detail. Optimization of the output impedance is also discussed and the best type of capacitance distribution is determined. A common function of the voltage gain to the output impedance is found among the proposed converter and other popular SC voltage multipliers. Experimental evaluation is carried out with a 6-24V bidirectional prototype converter.

Noninformative Priors for the Ratio of the Scale Parameters in the Inverted Exponential Distributions

  • Kang, Sang Gil;Kim, Dal Ho;Lee, Woo Dong
    • Communications for Statistical Applications and Methods
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    • 제20권5호
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    • pp.387-394
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    • 2013
  • In this paper, we develop the noninformative priors for the ratio of the scale parameters in the inverted exponential distributions. The first and second order matching priors, the reference prior and Jeffreys prior are developed. It turns out that the second order matching prior matches the alternative coverage probabilities, is a cumulative distribution function matching prior and is a highest posterior density matching prior. In addition, the reference prior and Jeffreys' prior are the second order matching prior. We show that the proposed reference prior matches the target coverage probabilities in a frequentist sense through a simulation study as well as provide an example based on real data is given.

CNN에서 입력 최댓값을 이용한 SoftMax 연산 기법 (SoftMax Computation in CNN Using Input Maximum Value)

  • Kang, Hyeong-Ju
    • 한국정보통신학회논문지
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    • 제26권2호
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    • pp.325-328
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    • 2022
  • A convolutional neural network(CNN) is widely used in the computer vision tasks, but its computing power requirement needs a design of a special circuit. Most of the computations in a CNN can be implemented efficiently in a digital circuit, but the SoftMax layer has operations unsuitable for circuit implementation, which are exponential and logarithmic functions. This paper proposes a new method to integrate the exponential and logarithmic tables of the conventional circuits into a single table. The proposed structure accesses a look-up table (LUT) only with a few maximum values, and the LUT has the result value directly. Our proposed method significantly reduces the space complexity of the SoftMax layer circuit implementation. But our resulting circuit is comparable to the original baseline with small degradation in precision.

TV 유리의 반복 성형공정에서 3차원 금형 열사이클 해석 (Three Dimensional Thermal Cycle Analysis of Mold in Repeated Forming Process of TV Glass)

  • 황정해;최주호;김준범
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.192-198
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    • 2000
  • Three dimensional thermal cycle analysis of the plunger is carried out in repeated forming process of the TV glass, which is continued work of two dimensional analysis where an efficient method has been proposed. The plunger undergoes temperature fluctuation during a cycle due to the repeated contact and separation from the glass, which attains a cyclic steady state having same temperature history at every cycle. Straightforward analysis of this problem brings about more than 90 cycles to get reasonable solution. An exponential function fitting method is proposed, which finds exponential function to best approximate temperature values of 3 consecutive cycles, and new cycle is restarted with the fitted value at infinite time. Number of cases are analyzed using the proposed method and compared to the result of straightforward repetition, from which one finds that the method always reaches nearly convergent solution within $9{\sim}12$ cycles, but turns around afterwards without further convergence. Two step use is found most efficient, in which the exponential fitting is carried out fer the first 12 cycles, followed by simple repetition, which shows fast convergence expending only 6 additional cycles to get the accuracy within 2 error. This reduces the computation cycle remarkably from 90 to 18, which is 80% reduction. From the parametric studies, one reveals that the overall thermal behavior of the plunger in terms of cooling parameters and time is similar to that of 2 dimensional analysis.

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객체 검출을 위한 통계치 적응적인 선형 회귀 기반 객체 크기 예측 (Object Size Prediction based on Statistics Adaptive Linear Regression for Object Detection)

  • 권용혜;이종석;심동규
    • 방송공학회논문지
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    • 제26권2호
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    • pp.184-196
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    • 2021
  • 본 논문은 객체 검출 알고리즘을 위한 통계치 적응적인 선형 회귀 기반 객체 크기 예측 방법을 제안한다. 기존에 제안된 딥 러닝 기반 객체 검출 알고리즘 중 YOLOv2 및 YOLOv3은 객체의 크기를 예측하기 위하여 네트워크의 마지막 계층에 통계치 적응적인 지수 회귀 모델을 사용한다. 하지만, 지수 회귀 모델은 역전파 과정에서 지수 함수의 특성상 매우 큰 미분값을 네트워크의 파라미터로 전파시킬 수 있는 문제점이 있다. 따라서 본 논문에서는 미분 값의 발산 문제를 해결하기 위하여 객체 크기 예측을 위한 통계치 적응적인 선형 회귀 모델을 제안한다. 제안하는 통계치 적응적인 선형 회귀 모델은 딥러닝 네트워크의 마지막 계층에 사용되며, 학습 데이터셋에 존재하는 객체들의 크기에 대한 통계치를 이용하여 객체의 크기를 예측한다. 제안하는 방법의 성능 평가를 위하여 YOLOv3 tiny를 기반으로 제안하는 방법을 적용하여 재설계한 네트워크의 검출 성능과 YOLOv3 tiny의 검출 성능을 비교하였으며, 성능 비교를 위한 데이터셋으로는 UFPR-ALPR 데이터셋을 사용하였다. 실험을 통해 제안하는 방법의 우수성을 검증하였다.