• 제목/요약/키워드: univariate method

검색결과 268건 처리시간 0.024초

Development of a Method for Detecting Unstable Behaviors in Flume Tests using a Univariate Statistical Approach

  • Kim, Seul-Bi;Seo, Yong-Seok;Kim, Hyeong-Sin;Chae, Byung-Gon;Choi, Jung-Hae;Kim, Ji-Soo
    • 지질공학
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    • 제24권2호
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    • pp.191-199
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    • 2014
  • We describe a method for detecting slope instability in flume tests using pore pressure and water content data in conjunction with a statistical control chart analysis. Specifically, we conducted univariate statistical analysis on x-MR control chart data (pore pressure and water content) collected at several points along the flume slope, which we separated into three parts: upper, middle, and lower. To assess our results in the context of landslide forecasting and warning systems, we applied control limit lines at $1{\sigma}$, $2{\sigma}$, and $3{\sigma}$ levels of uncertainty. In doing so, we observed that dispersion time varies depending on the control limit line used. Moreover, the detection of instabilities is highly dependent on the position and type of sensor. Our findings indicate that different characteristics of the data on various factors predict slope failure differently and these characteristics can be identified by univariate statistical analysis. Therefore, we suggest that a univariate statistical approach is an effective method for the early detection of slope instability.

중량 앵커리지 블록과 연결된 조립 스테이 케이블의 장력 추정 (Estimation of Tension Forces of Assembly Stay Cables Connected with Massive Anchorage Block)

  • 정운;김남식
    • 한국소음진동공학회논문집
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    • 제15권3호
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    • pp.346-353
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    • 2005
  • In this paper, the tension of assembly stay cable connected with massive anchorage block was calculated through back analysis of in-situ frequencies measured from a stadium structure. Direct approach to back analysis is adopted using the univariate method among the direct search methods as an optimization technique. The univariate method can search the optimal tension without regard to the initial ones and has a rapid convergence rate. To verify the reliability of back analysis, Tension formulas proposed by Zui et al. and Shimada were used. Tensions estimated by three methods are compared with the design tension, and are in a reasonable agreement with an error of more or less than 15%. Therefore, it is shown that back analysis applied in this paper is appropriate for estimation of cable tension force.

중량 앵커리지 블록과 연결된 조립 스테이 케이블의 장력 추정 (Estimation of Tension Forces of Assembly Stay Cables Connected with Massive Anchorage Block)

  • 정운;김남식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.435-440
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    • 2004
  • In this paper, the tension of assembly stay cable connected with massive anchorage block was calculated through back analysis of in-situ frequencies measured from a stadium structure. Direct approach to back analysis is adopted using the univariate method among the direct search methods as an optimization technique. The univariate method can search the optimal tension without regard to the initial ones and has a rapid convergence rate. To verify the reliability of back analysis, Tension formulas proposed by Zui et al. and Shimada were used. Tensions estimated by three methods are compared with the design tension, and are in a reasonable agreement with an error of more or less than 15%. Therefore, it is shown that back analysis applied in this paper is appropriate for estimation of cable tension force.

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Decomposable polynomial response surface method and its adaptive order revision around most probable point

  • Zhang, Wentong;Xiao, Yiqing
    • Structural Engineering and Mechanics
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    • 제76권6호
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    • pp.675-685
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    • 2020
  • As the classical response surface method (RSM), the polynomial RSM is so easy-to-apply that it is widely used in reliability analysis. However, the trade-off of accuracy and efficiency is still a challenge and the "curse of dimension" usually confines RSM to low dimension systems. In this paper, based on the univariate decomposition, the polynomial RSM is executed in a new mode, called as DPRSM. The general form of DPRSM is given and its implementation is designed referring to the classical RSM firstly. Then, in order to balance the accuracy and efficiency of DPRSM, its adaptive order revision around the most probable point (MPP) is proposed by introducing the univariate polynomial order analysis, noted as RDPRSM, which can analyze the exact nonlinearity of the limit state surface in the region around MPP. For testing the proposed techniques, several numerical examples are studied in detail, and the results indicate that DPRSM with low order can obtain similar results to the classical RSM, DPRSM with high order can obtain more precision with a large efficiency loss; RDPRSM can perform a good balance between accuracy and efficiency and preserve the good robustness property meanwhile, especially for those problems with high nonlinearity and complex problems; the proposed methods can also give a good performance in the high-dimensional cases.

다중반응표면 최적화를 위한 단변량 손실함수법: 대화식 절차 기반의 가중치 결정 (A Univariate Loss Function Approach to Multiple Response Surface Optimization: An Interactive Procedure-Based Weight Determination)

  • 정인준
    • 지식경영연구
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    • 제21권1호
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    • pp.27-40
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    • 2020
  • Response surface methodology (RSM) empirically studies the relationship between a response variable and input variables in the product or process development phase. The ultimate goal of RSM is to find an optimal condition of the input variables that optimizes (maximizes or minimizes) the response variable. RSM can be seen as a knowledge management tool in terms of creating and utilizing data, information, and knowledge about a product production and service operations. In the field of product or process development, most real-world problems often involve a simultaneous consideration of multiple response variables. This is called a multiple response surface (MRS) problem. Various approaches have been proposed for MRS optimization, which can be classified into loss function approach, priority-based approach, desirability function approach, process capability approach, and probability-based approach. In particular, the loss function approach is divided into univariate and multivariate approaches at large. This paper focuses on the univariate approach. The univariate approach first obtains the mean square error (MSE) for individual response variables. Then, it aggregates the MSE's into a single objective function. It is common to employ the weighted sum or the Tchebycheff metric for aggregation. Finally, it finds an optimal condition of the input variables that minimizes the objective function. When aggregating, the relative weights on the MSE's should be taken into account. However, there are few studies on how to determine the weights systematically. In this study, we propose an interactive procedure to determine the weights through considering a decision maker's preference. The proposed method is illustrated by the 'colloidal gas aphrons' problem, which is a typical MRS problem. We also discuss the extension of the proposed method to the weighted MSE (WMSE).

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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    • 제17권1호
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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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On the Global Convergence of Univariate Dynamic Encoding Algorithm for Searches (uDEAS)

  • Kim, Jong-Wook;Kim, Tae-Gyu;Choi, Joon-Young;Kim, Sang-Woo
    • International Journal of Control, Automation, and Systems
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    • 제6권4호
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    • pp.571-582
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    • 2008
  • This paper analyzes global convergence of the univariate dynamic encoding algorithm for searches (uDEAS) and provides an application result to function optimization. uDEAS is a more advanced optimization method than its predecessor in terms of the number of neighborhood points. This improvement should be validated through mathematical analysis for further research and application. Since uDEAS can be categorized into the generating set search method also established recently, the global convergence property of uDEAS is proved in the context of the direct search method. To show the strong performance of uDEAS, the global minima of four 30 dimensional benchmark functions are attempted to be located by uDEAS and the other direct search methods. The proof of global convergence and the successful optimization result guarantee that uDEAS is a reliable and effective global optimization method.

단변수 차원 감소법을 이용한 제작 공차가 유도전동기 성능에 미치는 영향력 분석 (Analysis of the Effect of Manufacturing Tolerance on Induction Motor Performance by Univariate Dimension Reduction Method)

  • 이상균;강병수;백종현;김동훈
    • 한국자기학회지
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    • 제25권6호
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    • pp.203-207
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    • 2015
  • 본 논문에서는 전동기 제작과정에서 발생하는 제작공차가 유도전동기 성능에 미치는 영향력을 분석하기 위하여 확률론적 해석기법을 도입하였다. 단변수 차원 감소법을 사용하여 특정한 확률분포를 갖는 설계변수에 의해 발생하는 성능함수의 확률분포 특성을 예측하였다. 또한 확률성능함수의 평균과 분산의 민감도 정보를 도출함으로써 개별 설계변수의 임의성이 확률성능함수의 분포에 미치는 영향력을 분석하였다. 제안된 기법은 간단한 수학예제와 유도전동기 모델에 적용하여 그 효율성과 정밀도를 검증하였다.

단변량 분석과 LVF 알고리즘을 결합한 하이브리드 속성선정 방법 (A Hybrid Feature Selection Method using Univariate Analysis and LVF Algorithm)

  • 이재식;정미경
    • 지능정보연구
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    • 제14권4호
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    • pp.179-200
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    • 2008
  • 본 연구에서는 사례기반 추론 기법을 대상으로 효율성과 효과성을 함께 증진시킬 수 있는 속성선정 방법을 개발하였다. 기본적으로, 본 연구에서 개발한 속성선정 방법은 기존에 개발된 단변량 분석 방법과 LVF 알고리즘을 통합하는 것이다. 먼저, 단변량 분석 방법 중 선택효과를 사용하여 전체 속성 중에서 예측력이 우수하다고 판단되는 일부분의 속성들을 추려낸다. 이 속성들로부터 생성해낼 수 있는 모든 가능한 부분집합을 생성해낸 후에, LVF 알고리즘을 이용하여 이 부분집합들이 가지는 불일치 비율을 평가함으로써 최종적으로 속성 부분집합을 선정한다. 본 연구에서 개발한 속성선정 방법을 UCI에서 제공하는 데이터 집합들에 적용하여 성능을 측정한 후, 기존 기법의 성능들과 비교한 결과, 본 연구에서 개발된 속성선정 방법이 선정된 속성의 개수도 만족할만하고 적중률도 향상되어서, 효율성과 효과성 모두의 측면에서 우수함을 보였다.

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A Simultaneous Test for Multivariate Normality and Independence with Application to Univariate Residuals

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • 제17권1호
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    • pp.115-122
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    • 2006
  • A test is suggested for detecting deviations from both multivariate normality and independence. This test can be used for assessing the normality and independence of univariate time series residuals. We derive the limiting distribution of the test statistic and a simulation study is conducted to study the accuracy of the limiting distribution in finite samples. Finally, we apply our method to a real data of time series.

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