• Title/Summary/Keyword: random parameter

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Effect of Mean Stress on Probability Distribution of Random Grown Crack size in Magnesium Alloy AZ31 (평균응력이 AZ31 마그네슘합금의 렌덤진전균열크기 확률분포에 미치는 영향)

  • Choi, Seon-Soon;Lee, Ouk-Sub
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.18 no.5
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    • pp.536-543
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    • 2009
  • In this paper the mean stress effects on the probability distribution of the random grown crack size at a specified loading cycle are studied through the fatigue crack propagation tests, which are conducted on the specimens of magnesium alloy under four different stress ratios. Through 80 replicates the probability distributions of the grown crack size are obtained. The goodness-of-fit for probability distributions of the random grown crack size are investigated by Anderson-Darling test and the best fit for those probability distributions is found to be a 3-parameter Weibull distribution. The effects of the mean stress on the probability distribution of the random grown crack size are also estimated.

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Comparison of Latin Hypercube Sampling and Simple Random Sampling Applied to Neural Network Modeling of HfO2 Thin Film Fabrication

  • Lee, Jung-Hwan;Ko, Young-Don;Yun, Il-Gu;Han, Kyong-Hee
    • Transactions on Electrical and Electronic Materials
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    • v.7 no.4
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    • pp.210-214
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    • 2006
  • In this paper, two sampling methods which are Latin hypercube sampling (LHS) and simple random sampling were. compared to improve the modeling speed of neural network model. Sampling method was used to generate initial weights and bias set. Electrical characteristic data for $HfO_2$ thin film was used as modeling data. 10 initial parameter sets which are initial weights and bias sets were generated using LHS and simple random sampling, respectively. Modeling was performed with generated initial parameters and measured epoch number. The other network parameters were fixed. The iterative 20 minimum epoch numbers for LHS and simple random sampling were analyzed by nonparametric method because of their nonnormality.

Impact in bioconvection MHD Casson nanofluid flow across Darcy-Forchheimer Medium due to nonlinear stretching surface

  • Sharif, Humaira;Hussain, Muzamal;Khadimallah, Mohamed A.;Naeem, Muhammad Nawaz;Ayed, Hamdi;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • v.28 no.6
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    • pp.791-798
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    • 2021
  • Current investigation aims to analyze the characteristics of magnetohydrodynamic boundary layer flow of bioconvection Casson fluid in the presence of nano-size particles over a permeable and non-linear stretchable surface. Fluid passes through the Darcy-Forchheimer permeable medium. Effect of different parameter such as Darcy-Forchheimer, porosity parameter, magnetic parameter and Brownian factor are investigated. Increasing Brownian factor leads to the rapid random movement of nanosize particles in fluid flows which shows an expansion in thermal boundary layer and enhances the nanofluid temperature more rapidly. For large values of Darcy-Forchheimer, magnetic parameter and porosity factor the velocity profile decreases. Higher values of velocity slip parameter cause decreasing trend in momentum layer with velocity profile.

A correction of SE from penalized partial likelihood in frailty models

  • Ha, Il-Do
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.5
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    • pp.895-903
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    • 2009
  • The penalized partial likelihood based on restricted maximum likelihood method has been widely used for the inference of frailty models. However, the standard-error estimate for frailty parameter estimator can be downwardly biased. In this paper we show that such underestimation can be corrected by using hierarchical likelihood. In particular, the hierarchical likelihood gives a statistically efficient procedure for various random-effect models including frailty models. The proposed method is illustrated via a numerical example and simulation study. The simulation results demonstrate that the corrected standard-error estimate largely improves such bias.

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On the Estimation of Parameters in ALT under Generalized Exponential Distribution

  • Yoon, Sang-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.923-931
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    • 2005
  • The two parameter generalized exponential distribution was recently introduced by Gupta and Kundu (1999). It is observed that the generalized exponential distribution can be used quite effectively to analyze skewed data set. This paper develops the accelerated life test model using generalized exponential distribution and considers maximum likelihood estimation of parameters under the tampered random variable model. To show the performance of proposed maximum likelihood estimates, some simulation will be performed. Using a real data set, an example will be given.

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STATIONARY SOLUTIONS FOR ITERATED FUNCTION SYSTEMS CONTROLLED BY STATIONARY PROCESSES

  • Lee, O.;Shin, D.W.
    • Journal of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.737-746
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    • 1999
  • We consider a class of discrete parameter processes on a locally compact Banach space S arising from successive compositions of strictly stationary random maps with state space C(S,S), where C(S,S) is the collection of continuous functions on S into itself. Sufficient conditions for stationary solutions are found. Existence of pth moments and convergence of empirical distributions for trajectories are proved.

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On the Multivariate Poisson Distribution with Specific Covariance Matrix

  • Kim, Dae-Hak;Jeong, Heong-Chul;Jung, Byoung-Cheol
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.161-171
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    • 2006
  • In this paper, we consider the random number generation method for multivariate Poisson distribution with specific covariance matrix. Random number generating method for the multivariate Poisson distribution is considered into two part, by first solving the linear equation to determine the univariate Poisson parameter, then convoluting independent univariate Poisson variates with appropriate expectations. We propose a numerical algorithm to solve the linear equation given the specific covariance matrix.

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Mixed-effects LS-SVR for longitudinal dat

  • Cho, Dae-Hyeon
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.363-369
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    • 2010
  • In this paper we propose a mixed-effects least squares support vector regression (LS-SVR) for longitudinal data. We add a random-effect term in the optimization function of LS-SVR to take random effects into LS-SVR for analyzing longitudinal data. We also present the model selection method that employs generalized cross validation function for choosing the hyper-parameters which affect the performance of the mixed-effects LS-SVR. A simulated example is provided to indicate the usefulness of mixed-effect method for analyzing longitudinal data.

Non-Simultaneous Sampling Deactivation during the Parameter Approximation of a Topic Model

  • Jeong, Young-Seob;Jin, Sou-Young;Choi, Ho-Jin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.1
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    • pp.81-98
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    • 2013
  • Since Probabilistic Latent Semantic Analysis (PLSA) and Latent Dirichlet Allocation (LDA) were introduced, many revised or extended topic models have appeared. Due to the intractable likelihood of these models, training any topic model requires to use some approximation algorithm such as variational approximation, Laplace approximation, or Markov chain Monte Carlo (MCMC). Although these approximation algorithms perform well, training a topic model is still computationally expensive given the large amount of data it requires. In this paper, we propose a new method, called non-simultaneous sampling deactivation, for efficient approximation of parameters in a topic model. While each random variable is normally sampled or obtained by a single predefined burn-in period in the traditional approximation algorithms, our new method is based on the observation that the random variable nodes in one topic model have all different periods of convergence. During the iterative approximation process, the proposed method allows each random variable node to be terminated or deactivated when it is converged. Therefore, compared to the traditional approximation ways in which usually every node is deactivated concurrently, the proposed method achieves the inference efficiency in terms of time and memory. We do not propose a new approximation algorithm, but a new process applicable to the existing approximation algorithms. Through experiments, we show the time and memory efficiency of the method, and discuss about the tradeoff between the efficiency of the approximation process and the parameter consistency.

S-parameter Analysis for Read and Write Line of MRAM (MRAM read와 write line의 S-parameter 해석)

  • Park, S.;Jo, S.
    • Journal of the Korean Magnetics Society
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    • v.13 no.5
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    • pp.216-220
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    • 2003
  • In this work, transmission characteristics of read and write signal were calculated when a MRAM (magnetic random access memory) cell is operated up to 10 GHz. Test device having long read and write lines was modeled in 3 dimensions to perform a simulation. The simulation was divided into two parts, read and write operations, and S-parameters were computed utilizing FEM (finite element method) algorithm. Transmission coefficients, S$\sub$21/, for read and write operations of MRAM device which was designed for a single cell test configuration were analyzed from DC to 1 GHz and DC to 10 GHz, respectively. When the insulator thickness between the bit and sense lines was increased from 500 to 1500 ${\AA}$, 3 dB attenuation frequency was increased by 3.3 times, from 135 to 430 MHz. The length of the bit and sense lines were 600 ${\mu}$m. In addition, access time was estimated by calculating the propagation delay utilizing S-parameters.