• Title/Summary/Keyword: Error Cost Function

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Determination of Target Value under Automatic Vision Inspection Systems (자동시각검사환경하에서 공정 목표치의 설정)

  • 서순근;이성재
    • Journal of Korean Society for Quality Management
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    • v.29 no.3
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    • pp.66-78
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    • 2001
  • This paper deals with problem of determining process target value under automated visual inspection(AVI) system. Three independent error sources - digitizing error, illumination error, and positional error - which have a close relationship with the performance of the AVI system, are considered. Assuming that digitizing error is uniformly or normally distributed and illumination and positional errors are normally distributed, respectively, the distribution function for the error of measured lengths is derived when the length of a product is measured by the AVI system. Then, Optimal target values under two error models of AVI system are obtained by minimizing the total expected cost function which consists of give away, rework and penalty cost. To validate two process setting models, AVI system for drinks filling process is made up and test results are discussed.

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A Gompertz Model for Software Cost Estimation (Gompertz 소프트웨어 비용 추정 모델)

  • Lee, Sang-Un
    • The KIPS Transactions:PartD
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    • v.15D no.2
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    • pp.207-212
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    • 2008
  • This paper evaluates software cost estimation models, and presents the most suitable model. First, we transformed a relevant model into variables to make in linear. Second, we evaluated model's performance considering how much suitable the cost data of the actual development software was. In the stage of model performance evaluation criteria, we used MMRE which is the relative error concept rather than the absolute error. Existing software cost estimation model follows Weibull, Gamma, and Rayleigh function. In this paper, Gompertz function model is suggested which is a kind of growth curve. Additionally, we verify the compatability of other different growth curves. As a result of evaluation of model's performance, Gompertz function was considered to be the most suitable for the cost estimation model.

The Fuzzy Power Function of a Test (검정에 관한 퍼지 검정력 함수의 성질)

  • Gang, Man-Gi;Jeong, Ji-Yeong;Park, Yeong-Rye;Choe, Gyu-Tak
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.183-186
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    • 2007
  • We introduction some properties for fuzzy power function of performance of a test. First we define fuzzy type I error and type II error for the probability of the two types of error. And we show that an fuzzy error probability of one kind can only be reduced at cost of increasing the other fuzzy error probability.

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Fuzzy Learning Control for Multivariable Unstable System (불안정한 다변수 시스템에 대한 퍼지 학습제어)

  • 임윤규;정병묵;소범식
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.7
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    • pp.808-813
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    • 1999
  • A fuzzy learning method to control an unstable and multivariable system is presented in this paper, Because the multivariable system has generally a coupling effect between the inputs and outputs, it is difficult to find its modeling equation or parameters. If the system is unstable, initial condition rules are needed to make it stable because learning is nearly impossible. Therefore, this learning method uses the initial rules and introduces a cost function composed of the actual error and error-rate of each output without the modeling equation. To minimize the cost function, we experimentally got the Jacobian matrix in the operating point of the system. From the Jacobian matrix, we can find the direction of the convergence in the learning, and the optimal control rules are finally acquired when the fuzzy rules are updated by changing the portion of the errors and error rates.

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AN ERROR OF SIMPONS'S QUADRATURE IN THE AVERAGE CASE SETTING

  • Park, Sung-Hee;Hong, Bum-Il
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.235-247
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    • 1996
  • Many numerical computations in science and engineering can only be solved approximately since the available infomation is partial. For instance, for problems defined ona space of functions, information about f is typically provided by few function values, $N(f) = [f(x_1), f(x_2), \ldots, f(x_n)]$. Knwing N(f), the solution is approximated by a numerical method. The error between the true and the approximate solutions can be reduced by acquiring more information. However, this increases the cost. Hence there is a trade-off between the error and the cost.

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A Learning Algorithm for Optimal Fuzzy Control Rules (최적의 퍼지제어규칙을 얻기위한 퍼지학습법)

  • Chung, Byeong-Mook
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.2
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    • pp.399-407
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    • 1996
  • A fuzzy learning algorithm to get the optimal fuzzy rules is presented in this paper. The algorithm introduces a reference model to generate a desired output and a performance index funtion instead of the performance index table. The performance index funtion is a cost function based on the error and error-rate between the reference and plant output. The cost function is minimized by a gradient method and the control input is also updated. In this case, the control rules which generate the desired response can be obtained by changing the portion of the error-rate in the cost funtion. In SISO(Single-Input Single- Output)plant, only by the learning delay, it is possible to experss the plant model and to get the desired control rules. In the long run, this algorithm gives us the good control rules with a minimal amount of prior informaiton about the environment.

Color Stereo Matching Using Dynamic Programming (동적계획법을 이용한 컬러 스테레오 정합)

  • Oh, Jong-Kyu;Lee, Chan-Ho;Kim, Jong-Koo
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.747-749
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    • 2000
  • In this paper, we proposed color stereo matching algorithm using dynamic programming. The conventional gray stereo matching algorithms show blur at depth discontinuities and non-existence of matching pixel in occlusion lesions. Also it accompanies matching error by lack of matching information in the untextured region. This paper defines new cost function makes up for the problems happening in conventional gray stereo matching algorithm. New cost function contain the following properties. I) Edge points are corresponded to edge points. ii) Non-edge points are corresponded to non-edge points. iii) In case of exiting the amount of edges, the cost function has some weight in proportion to path distance. Proposed algorithm was applied in various images obtained by parallel camera model. As the result, proposed algorithm showed improved performance in the aspect of matching error and processing in the occlusion region compared to conventional gray stereo matching algorithms.

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Optimal Network Design for the Estimation of Areal Rainfall (면적강우량 산정을 위한 관측망 최적설계 연구)

  • Lee, Jae-Hyeong;Yu, Yang-Gyu
    • Journal of Korea Water Resources Association
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    • v.35 no.2
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    • pp.187-194
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    • 2002
  • To improve the accuracy of the areal rainfall estimates over a river basin, the optimal design method of rainfall network was studied using the stochastic characteristics of measured rainfall data. The objective function was constructed with the estimation error of areal rainfall and observation cost of point rainfall and the observation sites with minimum objective function value were selected as the optimal network. As a stochastic variance estimator, kriging model was selected to minimize the error terms. The annual operation cost including the installation cost was considered as the cost terms and an accuracy equivalent parameter was used to combine the error and cost terms. The optimal design method of rainfall network was studied in the Yongdam dam basin whose raingauge numbers need to be enlarged for the optimal rainfall networks of the basin.

A Modified Error Function to Improve the Error Back-Propagation Algorithm for Multi-Layer Perceptrons

  • Oh, Sang-Hoon;Lee, Young-Jik
    • ETRI Journal
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    • v.17 no.1
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    • pp.11-22
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    • 1995
  • This paper proposes a modified error function to improve the error back-propagation (EBP) algorithm for multi-Layer perceptrons (MLPs) which suffers from slow learning speed. It can also suppress over-specialization for training patterns that occurs in an algorithm based on a cross-entropy cost function which markedly reduces learning time. In the similar way as the cross-entropy function, our new function accelerates the learning speed of the EBP algorithm by allowing the output node of the MLP to generate a strong error signal when the output node is far from the desired value. Moreover, it prevents the overspecialization of learning for training patterns by letting the output node, whose value is close to the desired value, generate a weak error signal. In a simulation study to classify handwritten digits in the CEDAR [1] database, the proposed method attained 100% correct classification for the training patterns after only 50 sweeps of learning, while the original EBP attained only 98.8% after 500 sweeps. Also, our method shows mean-squared error of 0.627 for the test patterns, which is superior to the error 0.667 in the cross-entropy method. These results demonstrate that our new method excels others in learning speed as well as in generalization.

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SLNR-based Precoder Design in Multiuser Interference Channel with Channel Estimation Error

  • Seo, Bangwon
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.1
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    • pp.40-52
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    • 2020
  • In this paper, we consider a precoder design problem for multiuser interference channel. Most of the conventional schemes for precoder design utilize a signal-to-interference-plus-noise ratio (SINR) as a cost function. However, since the SINR metric of a desired transmitter-receiver pair is a function of precoding vectors of all transmitters in the multiuser interference channel, an analytic closed-form solution is not available for the precoding vector of a desired transmitter that maximizes the SINR metric. To eliminate coupling between the precoding vectors of all transmitters and to find a closed-form solution for the precoding vector of the desired transmitter, we use a signal-to-leakage-plus-noise ratio (SLNR) instead as a cost function because the SLNR at a transmitter is a function of the precoding vector of the desired transmitter only. In addition, channel estimation errors for undesired links are considered when designing the precoding vector because they are inevitable in a multiuser interference channel. In this case, we propose a design scheme for the precoding vector that is robust to the channel estimation error. In the proposed scheme, the precoding vector is designed to maximize the worst-case SLNR. Through computer simulation, we show that the proposed scheme has better performance than the conventional scheme in terms of SLNR, SINR, and sum rate of all users.