• Title/Summary/Keyword: WLS (Weighted Least Squares)

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An RSS-Based Localization Scheme Using Direction Calibration and Reliability Factor Information for Wireless Sensor Networks

  • Tran-Xuan, Cong;Koo, In-Soo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.4 no.1
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    • pp.45-61
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    • 2010
  • In the communication channel, the received signal is affected by many factors that can cause errors. These effects mean that received signal strength (RSS) based methods incur more errors in measuring distance and consequently result in low precision in the location detection process. As one of the approaches to overcome these problems, we propose using direction calibration to improve the performance of the RSS-based method for distance measurement, and sequentially a weighted least squares (WLS) method using reliability factors in conjunction with a conventional RSS weighting matrix is proposed to solve an over-determined localization process. The proposed scheme focuses on the features of the RSS method to improve the performance, and these effects are proved by the simulation results.

A Generalized Marginal Logit Model for Repeated Polytomous Response Data (반복측정의 다가 반응자료에 대한 일반화된 주변 로짓모형)

  • Choi, Jae-Sung
    • The Korean Journal of Applied Statistics
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    • v.21 no.4
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    • pp.621-630
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    • 2008
  • This paper discusses how to construct a generalized marginal logit model for analyzing repeated polytomous response data when some factors are applied to larger experimental units as treatments and time to a smaller experimental unit as a repeated measures factor. So, two different experimental sizes are considered. Weighted least squares(WLS) methods are used for estimating fixed effects in the suggested model.

Multiobjective Space Search Optimization and Information Granulation in the Design of Fuzzy Radial Basis Function Neural Networks

  • Huang, Wei;Oh, Sung-Kwun;Zhang, Honghao
    • Journal of Electrical Engineering and Technology
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    • v.7 no.4
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    • pp.636-645
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    • 2012
  • This study introduces an information granular-based fuzzy radial basis function neural networks (FRBFNN) based on multiobjective optimization and weighted least square (WLS). An improved multiobjective space search algorithm (IMSSA) is proposed to optimize the FRBFNN. In the design of FRBFNN, the premise part of the rules is constructed with the aid of Fuzzy C-Means (FCM) clustering while the consequent part of the fuzzy rules is developed by using four types of polynomials, namely constant, linear, quadratic, and modified quadratic. Information granulation realized with C-Means clustering helps determine the initial values of the apex parameters of the membership function of the fuzzy neural network. To enhance the flexibility of neural network, we use the WLS learning to estimate the coefficients of the polynomials. In comparison with ordinary least square commonly used in the design of fuzzy radial basis function neural networks, WLS could come with a different type of the local model in each rule when dealing with the FRBFNN. Since the performance of the FRBFNN model is directly affected by some parameters such as e.g., the fuzzification coefficient used in the FCM, the number of rules and the orders of the polynomials present in the consequent parts of the rules, we carry out both structural as well as parametric optimization of the network. The proposed IMSSA that aims at the simultaneous minimization of complexity and the maximization of accuracy is exploited here to optimize the parameters of the model. Experimental results illustrate that the proposed neural network leads to better performance in comparison with some existing neurofuzzy models encountered in the literature.

A study on robust regression estimators in heteroscedastic error models

  • Son, Nayeong;Kim, Mijeong
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.5
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    • pp.1191-1204
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    • 2017
  • Weighted least squares (WLS) estimation is often easily used for the data with heteroscedastic errors because it is intuitive and computationally inexpensive. However, WLS estimator is less robust to a few outliers and sometimes it may be inefficient. In order to overcome robustness problems, Box-Cox transformation, Huber's M estimation, bisquare estimation, and Yohai's MM estimation have been proposed. Also, more efficient estimations than WLS have been suggested such as Bayesian methods (Cepeda and Achcar, 2009) and semiparametric methods (Kim and Ma, 2012) in heteroscedastic error models. Recently, Çelik (2015) proposed the weight methods applicable to the heteroscedasticity patterns including butterfly-distributed residuals and megaphone-shaped residuals. In this paper, we review heteroscedastic regression estimators related to robust or efficient estimation and describe their properties. Also, we analyze cost data of U.S. Electricity Producers in 1955 using the methods discussed in the paper.

Application of Common Random Numbers in Simulation Experiments Using Central Composite Design (중심합성계획 시뮬레이션 실험에서 공통난수의 활용)

  • Kwon, Chi-Myung
    • Journal of the Korea Society for Simulation
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    • v.23 no.3
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    • pp.11-17
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    • 2014
  • The central composite design (CCD) is often used to estimate the second-order linear model. This paper uses a correlation induction strategy of common random numbers (CRN) in simulation experiment and utilizes the induced correlations to obtain better estimates for the second-order linear model. This strategy assigns the CRN to all design points in the CCD. An appropriate selection of the axial points in CCD makes the weighted least squares (WLS) estimator be equivalent to ordinary least squares (OLS) estimator in estimating the linear model parameters of CCD. We analytically investigate the efficiency of this strategy in estimation of model parameters. Under certain conditions, this correlation induction strategy yields better results than independent random number strategy in estimating model parameters except intercept. The simulation experiment on a selected model supports such results. We expect a suggested random number assignment is useful in application of CCD in simulation experiments.

A Study on Power System State Estimation and bad data detection Using PSO (PSO기법을 이용한 전력계통의 상태추정해법과 불량정보처리에 관한 연구)

  • Ryu, Seung-Oh;Jeong, Hee-Myung;Park, June-Ho;Lee, Hwa-Seok
    • Proceedings of the KIEE Conference
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    • 2008.11a
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    • pp.261-263
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    • 2008
  • In power systems operation, state estimation takes an important role in security control. For the state estimation problem, the weighted least squares(WLS) method and the fast decoupled method have been widely used at present. But these algorithms have disadvantage of converging local optimal solution. In these days, a modern heuristic optimization method such as Particle Swarm Optimization(PSO), are introduced to overcome the problems of classical optimization. In this paper, we proposed particle swarm optimization (PSO) to search an optimal solution of state estimation in power systems. To demonstrate the usefulness of the proposed method, PSO algorithm was tested in the IEEE-57 bus systems. From the simulation results, we can find that the PSO algorithm is applicable for power system state estimation.

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A Study on State Estimation in Power Systems Using Adaptive Evolutionary Algorithm (적응진화 알고리즘을 이용한 전력계통의 상태추정에 관한 연구)

  • Jeong, Hee-Myung;Kim, Hyung-Su;Park, June-Ho;Lee, Hwa-Seok
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.214-215
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    • 2006
  • In power systems, the state estimation takes an important role in security control. At present, the weighted least squares(WLS) method has been widely used to the state estimation computation. This paper presents an application of Adaptive Evolutionary Algorithm(AEA) to state estimation in power systems. AEA is a optimization method to overcome the problems of classical optimization. AEA is employed to solve state estimation on the 6 bus system.

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A Study on State Estimation in Power Systems using Particle Swarm Optimization (PSO 알고리즘을 이용한 전력계통의 상태추정에 관한 연구)

  • Jeong, Hee-Myung;Park, Jung-Ho;Lee, Hwa-Seok;Kim, Jong-Yul
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.291-293
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    • 2006
  • In power systems, the state estimation takes an important role in security control. At present, the weighted least squares(WLS) method has been widely used to the state estimation computation. This paper presents an application of Particle Swarm Optimization(PSO) to state estimation in power systems. PSO is a modern heuristic optimization method to overcome the problems of classical optimization. PSO is employed to solve state estimation on the IEEE-30 bus system.

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Power System State Estimation Using Parallel PSO Algorithm based on PC cluster (PC 클러스터 기반 병렬 PSO 알고리즘을 이용한 전력계통의 상태추정)

  • Jeong, Hee-Myung;Park, June-Ho;Lee, Hwa-Seok
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.303-304
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    • 2008
  • For the state estimation problem, the weighted least squares (WLS) method and the fast decoupled method are widely used at present. However, these algorithms can converge to local optimal solutions. Recently, modern heuristic optimization methods such as Particle Swarm Optimization (PSO) have been introduced to overcome the disadvantage of the classical optimization problem. However, heuristic optimization methods based on populations require a lengthy computing time to find an optimal solution. In this paper, we used PSO to search for the optimal solution of state estimation in power systems. To overcome the shortcoming of heuristic optimization methods, we proposed parallel processing of the PSO algorithm based on the PC cluster system. the proposed approach was tested with the IEEE-118 bus systems. From the simulation results, we found that the parallel PSO based on the PC cluster system can be applicable for power system state estimation.

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Power System State Estimation Using Parallel PSO Algorithm (병렬 PSO 알고리즘을 이용한 전력계통의 상태추정)

  • Jeong, Hee-Myung;Park, June-Ho;Lee, Hwa-Seok
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.425-426
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    • 2007
  • In power systems operation, state estimation takes an important role in security control. For the state estimation problem, conventional optimization algorithm, such as weighted least squares (WLS) method, has been widely used. But these algorithms have disadvantages of converging local optimal solution. In these days, a modern heuristic optimization methods such as Particle Swarm Optimization (PSO), are introducing to overcome the problems of classical optimization. In this paper, we suggested parallel particle swarm optimization (PPSO) to search an optimal solution of state estimation in power systems. To show the usefulness of the proposed method over the conventional PSO, proposed method is applied on the IEEE-57 bus system.

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