• Title/Summary/Keyword: )Sum of the Squared Errors

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Optimal Pipe Replacement Analysis with a New Pipe Break Prediction Model (새로운 파괴예측 모델을 이용한 상수도 관의 최적 교체)

  • Park, Suwan;Loganathan, G.V.
    • Journal of Korean Society of Water and Wastewater
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    • v.16 no.6
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    • pp.710-716
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    • 2002
  • A General Pipe Break Prediction Model that incorporates linear and exponential models in its form is developed. The model is capable of fitting pipe break trends that have linear, exponential or in between of linear and exponential trend by using a weighting factor. The weighting factor is adjusted to obtain a best model that minimizes the sum of squared errors of the model. The model essentially plots a best curve (or a line) passing through "cumulative number of pipe breaks" versus "break times since installation of a pipe" data points. Therefore, it prevents over-predicting future number of pipe breaks compared to the conventional exponential model. The optimal replacement time equation is derived by using the Threshold Break Rate equation by Loganathan et al. (2002).

A Study on ENHPP Software Reliability Growth Model based on Exponentiated Exponential Coverage Function (지수화 지수 커버리지 함수를 고려한 ENHPP 소프트웨어 신뢰성장 모형에 관한 연구)

  • Kim, Hee-Cheul
    • The Journal of Information Technology
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    • v.10 no.2
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    • pp.47-64
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    • 2007
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. Accurate predictions of software release times, and estimation of the reliability and availability of a software product require quantification of a critical element of the software testing process : test coverage. This model called enhanced non-homogeneous poission process(ENHPP). In this paper, exponential coverage and S-coverage model was reviewed, proposes the exponentiated exponential coverage reliability model, which maked out efficiency substituted for gamma and Weibull model(2 parameter shape illustrated by Gupta and Kundu(2001). In this analysis of software failure data, algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE statistics for the sake of efficient model, was employed.

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Development of the Expert System for Management on Existing RC Bridge Decks (기존RC교량 바닥판의 유지관리를 위한 전문가 시스템 개발)

  • 손용우;강형구;이중빈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.227-236
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    • 2002
  • The purpose of this study makes a retrofit and rehabilitation practice trough the analysis and the improvement for the underlying problem of current retrofit and rehabilitation methods. Therefore, the deterioration process, the damage cause, the condition classification, the fatigue mechanism and the applied quantity of strengthening methods for RC deck slabs were analyzed. Artificial neural networks are efficient computing techniques that are widely used to solve complex problems in many fields. In this study, a back-propagation neural network model for estimating a management on existing reinforced concrete bridge decks from damage cause, damage type, and integrity assessment at the initial stage is need. The training and testing of the network were based on a database of 36. Four different network models were used to study the ability of the neural network to predict the desirable output of increasing degree of accuracy. The neural networks is trained by modifying the weights of the neurons in response to the errors between the actual output values and the target output value. Training was done iteratively until the average sum squared errors over all the training patterns were minimized. This generally occurred after about 5,000 cycles of training.

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Development of the Expert System for Management on Slab Bridge Decks (슬래브교 상판의 전문가 시스템 개발)

  • Ahn, Young-Ki;Lee, Cheung-Bin;Yim, Jung-Soon;Lee, Jin-Wan
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.1
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    • pp.267-277
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    • 2003
  • The purpose of this study makes a retrofit and rehabilitation practice trough the analysis and the improvement for the underlying problem of current retrofit and rehabilitation methods. Therefore, the deterioration process, the damage cause, the condition classification, the fatigue mechanism and the applied quantity of strengthening methods for slab bridge decks were analysed. Artificial neural networks are efficient computing techniqures that are widely used to solve complex problems in many fields. In this study, a back-propagation neural network model for estimating a management on existing slab bridge decks from damage cause, damage type, and integrity assessment at the initial stsge is need. The training and testing of the network were based on a database of 36. Four different network models werw used to study the ability of the neural network to predict the desirable output of increasing degree of accuracy. The neural networks is trained by modifying the weights of the neurons in response to the errors between the actual output values and the target output value. Training was done iteratively until the average sum squared errors over all the training patterms were minimized. This generally occurred after about 5,000 cycles of training.

Gaussian Mixture based K2 Rifle Chamber Pressure Modeling of M193 and K100 Bullets (가우시안 혼합모델 기반 탄종별 K2 소화기의 약실압력 모델링)

  • Kim, Jong-Hwan;Lee, Byounghwak;Kim, Kyoungmin;Shin, Kyuyong;Lee, Wonwoo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.22 no.1
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    • pp.27-34
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    • 2019
  • This paper presents a chamber pressure model development of K2 rifle by applying Gaussian mixture model. In order to materialize a real recoil force of a virtual reality shooting rifle in military combat training, the chamber pressure which is one of major components of the recoil force needs to be investigated and modeled. Over 200,000 data of the chamber pressure were collected by implementing live fire experiments with both K100 and M193 of 5.56 mm bullets. Gaussian mixture method was also applied to create a mathematical model that satisfies nonlinear, asymmetry, and deviations of the chamber pressure which is caused by irregular characteristics of propellant combustion. In addition, Polynomial and Fourier Regression were used for comparison of results, and the sum of squared errors, the coefficient of determination and root-mean-square errors were analyzed for performance measurement.

A Robust Backpropagation Algorithm and It's Application (문자인식을 위한 로버스트 역전파 알고리즘)

  • Oh, Kwang-Sik;Kim, Sang-Min;Lee, Dong-No
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.2
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    • pp.163-171
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    • 1997
  • Function approximation from a set of input-output pairs has numerous applications in scientific and engineering areas. Multilayer feedforward neural networks have been proposed as a good approximator of nonlinear function. The back propagation(BP) algorithm allows multilayer feedforward neural networks to learn input-output mappings from training samples. It iteratively adjusts the network parameters(weights) to minimize the sum of squared approximation errors using a gradient descent technique. However, the mapping acquired through the BP algorithm may be corrupt when errorneous training data we employed. When errorneous traning data are employed, the learned mapping can oscillate badly between data points. In this paper we propose a robust BP learning algorithm that is resistant to the errorneous data and is capable of rejecting gross errors during the approximation process, that is stable under small noise perturbation and robust against gross errors.

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Crack identification in post-buckled beam-type structures

  • Moradi, Shapour;Moghadam, Peyman Jamshidi
    • Smart Structures and Systems
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    • v.15 no.5
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    • pp.1233-1252
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    • 2015
  • This study investigates the problem of crack detection in post-buckled beam-type structures. The beam under the axial compressive force has a crack, assumed to be open and through the width. The crack, which is modeled by a massless rotational spring, divides the beam into two segments. The crack detection is considered as an optimization problem, and the weighted sum of the squared errors between the measured and computed natural frequencies is minimized by the bees algorithm. To find the natural frequencies, the governing nonlinear equations of motion for the post-buckled state are first derived. The solution of the nonlinear differential equations of the two segments consists of static and dynamic parts. The differential quadrature method along with an arc length strategy is used to solve the static part, while the same method is utilized for the solution of the linearized dynamic part and the extraction of the natural frequencies of the cracked beam. The investigation includes several numerical as well as experimental case studies on the post-buckled simply supported and clamped-clamped beams having open cracks. The results show that several parameters such as the amount of applied compressive force and boundary conditions influences the outcome of the crack detection scheme. The identification results also show that the crack position and depth can be predicted well by the presented method.

Adaptive Spatial Domain FB-Predictors for Bearing Estimation (입사각 추정을 위한 적응 공간영역 FB-예측기)

  • Lee, Won-Cheol;Park, Sang-Taick;Cha, Il-Whan;Youn, Dae-Hee
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.3
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    • pp.160-166
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    • 1989
  • We propose adaptive algorithms computing the coefficients of spatial domain predictors. The method uses the LMS approach to compute the coefficients of the predictors realized by using the TDL(tapped-delay-line) and the ESC (escalator) structures. The predictors to be presented differ from the conventional ones in the sense that the relevant weights are updated such that the sum of the mean squared values of the forward and the backward prediction errors is minimized. Using the coefficients of such spatial domain predictors yields improved linear predictive spatial spectrums. The algorithms are applied to the problems of estimating incident angles of multiple narrow-band signals received by a linear array of sensors. Simulation results demonstrating the performances of the proposed methods are presented.

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A Study on Minimising the Errors on the Boundary Conditions when Using an Equivalent Source Technique for a Modelling of Sound Field inside an Enclosure (등가소스법을 이용한 공간 내의 음장 모델링에서 경계면 조건 오차의 최소화에 관한 연구)

  • Baek, Kwang-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.581-586
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    • 2000
  • The equivalent source method is used to calculate the internal pressure field for an enclosure which can have arbitrary boundary conditions and may include internal objects which scatter the sound. Some of the equivalent positions are chosen to be the same as the first order images of the source inside the enclosure, some are positioned on a spherical surface some distance outside the enclosure. The normal velocity on the surfaces of the enclosure walls is evaluated at a larger number of positions than there are equivalent sources. The sum of the squared difference between this velocity and the expected is minimized by adjusting the strength of the equivalent sources. The convergence of this method is checked by evaluating the velocity error at a larger number of monitoring positions. Example results are presented for various numbers of sources and evaluation points. The results showed that in general the more equivalent sources increased the accuracy of the sound field predictions but the accuracy is not too much sensitive to the numbers of evaluation points.

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Convergence Behavior of the Least Mean Fourth Algorithm for a Multiple Sinusoidal Input (복수 정현파 입력신호에 대한 최소평균사승 알고리듬의 수렴 특성에 관한 연구)

  • Lee, Kang-Seung;Lee, Jae-Chon;Youn, Dae-Hee
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.1
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    • pp.22-30
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    • 1995
  • In this Paper we study the convergence behavior of the least mean fourth (LMF) algorithm where the error raised to the power of four is minimized for a multiple sinusoidal input and Gaussian measurement noise. Here we newly obtain the convergence equation for the sum of the mean of the squared weight errors, which indicates that the transient behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant. It should be noted that no similar results can be expected from the previous analysis by Walach and Widrow.

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