• 제목/요약/키워드: least-squares methods

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Comparison of linear and non-linear equation for the calibration of roxithromycin analysis using liquid chromatography/mass spectrometry

  • Lim, Jong-Hwan;Yun, Hyo-In
    • 대한수의학회지
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    • 제50권1호
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    • pp.11-17
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    • 2010
  • Linear and non-linear regressions were used to derive the calibration function for the measurement of roxithromycin plasma concentration. Their results were compared with weighted least squares regression by usual weight factors. In this paper the performance of a non-linear calibration equation with the capacity to account empirically for the curvature, y = ax$^{b}$ + c (b $\neq$ 1) is compared with the commonly used linear equation, y = ax + b, as well as the quadratic equation, y = ax$^{2}$+ bx + c. In the calibration curve (range of 0.01 to 10 ${\mu}g/mL$) of roxithromycin, both heteroscedasticity and nonlinearity were present therefore linear least squares regression methods could result in large errors in the determination of roxithromycin concentration. By the non-linear and weighted least squares regression, the accuracy of the analytical method was improved at the lower end of the calibration curve. This study suggests that the non-linear calibration equation should be considered when a curve is required to be fitted to low dose calibration data which exhibit slight curvature.

이동 통신 시스템에서 조정 계수를 이용한 적응 등화기에 관한 연구 (A Study On The Adaptive Equalizer Of Coefficient Adjustment In Mobile Communication Systems)

  • 전상규;김노환
    • 한국컴퓨터정보학회논문지
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    • 제1권1호
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    • pp.53-64
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    • 1996
  • 이동 통신 시스템에서 DSP 기능을 수행하는 적응필터를 설계하기 위한 방법으로는 최소-제곱조정(Least-squares adjustment) 알고리즘. Fast-Kalman 알고리즘 그리고 적응 격자(adaptive lattice) 알고리즘이 있다. 최소-제곱 조정 알고리즘은 적응 등화의 신호처리를 위해 고속 수렴하고이동 통신 시스템의 다중 경로 페이딩 채널에서 발생되는 심볼간 간섭을 제거하는데 사용된다. 본 논문에서는 기존의 최소-제곱 조정 알고리즘의 계수를 몇 가지 새로운 데이타 순서에 대한 샘플링 된 신호 벡터의 대수학적인 특성을 적절히 조정하여 구하는 방법을 제시하였고 컴퓨터 시물레이션 결과 기존 알고리즘들보다 고속 수렴하고 반복 수행 속도가 개선됨을 확인하였다.

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변형된 계통추출과 최소제곱법을 이용한 모평균 추정 (Estimation of Population Mean Using Modified Systematic Sampling and Least Squares Method)

  • 김혁주
    • 응용통계연구
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    • 제17권1호
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    • pp.105-117
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    • 2004
  • 본 논문에서는 선형추세를 갖는 모집단의 평균을 추정하기 위한 새로운 방법을 제시하였다. 이 방법은 변형계통추출에 의하여 표본을 뽑은 뒤 표본의 단순평균이 아니라 조정된 추정량을 사용하여 모평균을 추정하는 방법이다. 조정된 추정량을 정하는 데에 최소제곱법을 사용하였다. 제시된 방법은 선형 추세가 강할수록 효율적이라는 것이 밝혀졌으며, 무한초모집단 모형의 랜덤오차항의 분산인 $\sigma$$^2$이 매우 크지만 않다면 전통적인 방법들에 비해 상대적으로 효율적인 것으로 나타났다.

Hybrid Fuzzy Least Squares Support Vector Machine Regression for Crisp Input and Fuzzy Output

  • Shim, Joo-Yong;Seok, Kyung-Ha;Hwang, Chang-Ha
    • Communications for Statistical Applications and Methods
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    • 제17권2호
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    • pp.141-151
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    • 2010
  • Hybrid fuzzy regression analysis is used for integrating randomness and fuzziness into a regression model. Least squares support vector machine(LS-SVM) has been very successful in pattern recognition and function estimation problems for crisp data. This paper proposes a new method to evaluate hybrid fuzzy linear and nonlinear regression models with crisp inputs and fuzzy output using weighted fuzzy arithmetic(WFA) and LS-SVM. LS-SVM allows us to perform fuzzy nonlinear regression analysis by constructing a fuzzy linear regression function in a high dimensional feature space. The proposed method is not computationally expensive since its solution is obtained from a simple linear equation system. In particular, this method is a very attractive approach to modeling nonlinear data, and is nonparametric method in the sense that we do not have to assume the underlying model function for fuzzy nonlinear regression model with crisp inputs and fuzzy output. Experimental results are then presented which indicate the performance of this method.

A Study on the Impact of Sport Industry on Economic Growth: An Investigation from China

  • He, Yugang
    • Journal of Sport and Applied Science
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    • 제2권2호
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    • pp.1-10
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    • 2018
  • Prior literature has posited that the sport industry has been effective method to drive the economic growth. Given the rationale, this study sets China as a research object with a quarterly data from the first quarter of 2003 to the fourth quarter of 2017 to explore how the sport industry affects economic growth. This study employed Johansen cointegration test and dynamic ordinary least squares as methods for an empirical analysis. The input of sport industry, the labor input, the capital input, and the economic growth are used as research variables. The results show that there is a long-run relationship among them. Johansen cointegration test's estimation indicated that 1% increase in the input of sport industry will lead to 0.064% increase in economic growth. Dynamic ordinary least squares' estimation showed that whenever in the one lead, in the one lag and in the present period, the input of sport industry always poses a positive effect on economic growth. Labor input also has a positive effect on economic growth. The capital input has a negative effect on economic growth. Finally, even though the input of sport industry has a positive effect on economic growth, its impact on economic growth is relative weak.

이진 분류를 위하여 거리계산을 이용한 특징 변환 기반의 가중된 최소 자승법 (Weighted Least Squares Based on Feature Transformation using Distance Computation for Binary Classification)

  • 장세인;박충식
    • 한국정보통신학회논문지
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    • 제24권2호
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    • pp.219-224
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    • 2020
  • 이진 분류(binary classification)는 머신러닝(machine learning) 분야에서 많이 다루어진 주제이다. 게다가 이진 분류는 다중 분류로 쉽게 발전될 수 있는 중요한 분야이다. 머신러닝 방법들을 적용할 때에 전처리(preprocessing)이나 특징 추출(feature extraction)과 같은 작업이 필수적이다. 이는 분류기 성능을 향상시키기 위한 중요한 작업이다. 본 논문에서는 가중된 최소 자승법을 기반으로 새로운 머신러닝 방법을 제안한다. 또한, 특징 변환시킬 수 있는 새로운 가중치 계산 방법을 제안한다. 이를 통해 특징 변환과 동시에 학습을 진행할 수 있는 방법을 제안한다. 본 제안을 다섯 개의 머신러닝 데이터베이스에서 실험을 진행하였으며 이 데이터베이스에서 우수한 성능을 얻을 수 있었다.

사용편의성에 영향을 미치는 제품 설계 변수의 통계적 선별 방법 (A Statistical Approach to Screening Product Design Variables for Modeling Product Usability)

  • 김종서;한성호
    • 대한인간공학회지
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    • 제19권3호
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    • pp.23-37
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    • 2000
  • Usability is one of the most important factors that affect customers' decision to purchase a product. Several studies have been conducted to model the relationship between the product design variables and the product usability. Since there could be hundreds of design variables to be considered in the model, a variable screening method is required. Traditional variable screening methods are based on expert opinions (Expert screening) in most Kansei engineering studies. Suggested in this study are statistical methods for screening important design variables by using the principal component regression(PCR), cluster analysis, and partial least squares(PLS) method. Product variables with high effect (PCR screening and PLS screening) or representative variables (Cluster screening) can be used to model the usability. Proposed variable screening methods are used to model the usability for 36 audio/visual products. The three analysis methods (PCR, Cluster, and PLS) show better model performance than the Expert screening in terms of $R^2$, the number of variables in the model, and PRESS. It is expected that these methods can be used for screening the product design variables efficiently.

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이동최소자승법을 이용한 신뢰성 최적설계 (Reliability Based Design Optimization using Moving Least Squares)

  • 박장원;이오영;임종빈;이수용;박정선
    • 한국항공우주학회지
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    • 제36권5호
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    • pp.438-447
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    • 2008
  • 본 논문에서는 이동최소자승법을 이용한 근사모델을 사용하여 신뢰성 최적설계를 수행하였다. 신뢰성 최적설계의 수행을 위한 반응표면 생성에는 RSM 과 Kriging이 사용될 수 있다. RSM은 계산시간은 빠르나 비선형성이 강한 문제에 약하며 Kriging은 비선형성이 강한 문제에 적용할 수 있으나 계산시간이 오래 걸리는 단점이 있다. 이 두 방법을 보완한 방법인 이동최소자승법(MLSM)을 이용하여 신뢰성 최적설계를 위한 반응표면을 생성하였다. 이동최소자승법을 이용한 신뢰성 최적설계기법은 Rosenbrock function 과 six-hump carmel back function으로 검증하였고 다른 기법과 비교하였다. 이동최소자승법을 이용하여 무인항공기 배기 덕트의 신뢰성 최적설계를 수행하였고 이는 항공우주구조물의 최적설계에 유용할 것으로 보여 진다.

Securing a Cyber Physical System in Nuclear Power Plants Using Least Square Approximation and Computational Geometric Approach

  • Gawand, Hemangi Laxman;Bhattacharjee, A.K.;Roy, Kallol
    • Nuclear Engineering and Technology
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    • 제49권3호
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    • pp.484-494
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    • 2017
  • In industrial plants such as nuclear power plants, system operations are performed by embedded controllers orchestrated by Supervisory Control and Data Acquisition (SCADA) software. A targeted attack (also termed a control aware attack) on the controller/SCADA software can lead a control system to operate in an unsafe mode or sometimes to complete shutdown of the plant. Such malware attacks can result in tremendous cost to the organization for recovery, cleanup, and maintenance activity. SCADA systems in operational mode generate huge log files. These files are useful in analysis of the plant behavior and diagnostics during an ongoing attack. However, they are bulky and difficult for manual inspection. Data mining techniques such as least squares approximation and computational methods can be used in the analysis of logs and to take proactive actions when required. This paper explores methodologies and algorithms so as to develop an effective monitoring scheme against control aware cyber attacks. It also explains soft computation techniques such as the computational geometric method and least squares approximation that can be effective in monitor design. This paper provides insights into diagnostic monitoring of its effectiveness by attack simulations on a four-tank model and using computation techniques to diagnose it. Cyber security of instrumentation and control systems used in nuclear power plants is of paramount importance and hence could be a possible target of such applications.