• The Korean Journal of Applied Statistics
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• v.21 no.3
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• pp.429-439
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• 2008

Canonical correlation biplot is 2-dimensional plot for investigating the relationship between two sets of variables and the relationship between observations and variables in canonical correlation analysis graphically. In general, biplot is useful for giving a graphical description of the data. However, this general biplot and also canonical correlation biplot do not give some concise interpretations between variables and observations when the number of observations are large. Recently, for overcoming this problem, Choi and Kim (2008) suggested a method to interpret the biplot analysis by applying the K-means clustering analysis. Therefore, in this study, we will apply their method for investigating the relationship between skill and competition score factors of KLPGA players using canonical correlation biplot and cluster analysis.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.1
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• pp.20-27
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• 2020

In general, a nonlinear system is linearized in the form of a multiplication of the 1st and 2nd order system. This paper reports a design method of a weighting matrix and control law of LQ control to move the double poles that have a Jordan block to a pair of complex conjugate poles. This method has the advantages of pole placement and the guarantee of stability, but this method cannot position the poles correctly, and the matrix is chosen using a trial and error method. Therefore, a relation function (𝜌, 𝜃) between the poles and the matrix was derived under the condition that the poles are the roots of the characteristic equation of the Hamiltonian system. In addition, the Pole's Moving-range was obtained under the condition that the state weighting matrix becomes a positive semi-definite matrix. This paper presents examples of how the matrix and control law is calculated.

• Journal of Korean Society of Transportation
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• v.22 no.6
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• pp.57-66
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• 2004

When we estimate an origin-destination matrix from traffic counts. origin-destination matrix estimation from traffic counts according to the selected optimal traffic counting links is method for improving the results of origin-destinaation matrix estimation and for increasing economic efficiency. This paper proposed model of selecting traffic counting links using integer program technique, and selected a traffic counting links using this model, and estimated and origin-destingtion matrix from traffic counts according to the selected optimal traffic counting links. Also, we compared a result of estimating origin-destination matrix from the selected optimal traffic counting links using this model to a result of estimating origin-destination matrix from the randomly selected traffic counting links. The error analysis result was more improved a result of origin-destination matrix estimation using this model than a result of randomly selected links.

• Journal of Korean Society of Transportation
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• v.22 no.1 s.72
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• pp.43-62
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• 2004

Conventionally the estimation method of the origin-destination Matrix has been developed by implementing the expansion of sampled data obtained from roadside interview and household travel survey. In the survey process, the bigger the sample size is, the higher the level of limitation, due to taking time for an error test for a cost and a time. Estimating the O-D matrix from observed traffic count data has been applied as methods of over-coming this limitation, and a gradient model is known as one of the most popular techniques. However, in case of the gradient model, although it may be capable of minimizing the error between the observed and estimated traffic volumes, a prior O-D matrix structure cannot maintained exactly. That is to say, unwanted changes may be occurred. For this reason, this study adopts a conjugate gradient algorithm to take into account two factors: estimation of the O-D matrix from the conjugate gradient algorithm while reflecting the prior O-D matrix structure maintained. This development of the O-D matrix estimation model is to minimize the error between observed and estimated traffic volumes. This study validates the model using the simple network, and then applies it to a large scale network. There are several findings through the tests. First, as the consequence of consistency, it is apparent that the upper level of this model plays a key role by the internal relationship with lower level. Secondly, as the respect of estimation precision, the estimation error is lied within the tolerance interval. Furthermore, the structure of the estimated O-D matrix has not changed too much, and even still has conserved some attributes.

• The Mathematical Education
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• v.62 no.2
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• pp.269-287
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• 2023

Matrix theory is widely used not only in mathematics, natural sciences, and engineering, but also in social sciences and artificial intelligence. In the 2009 revised mathematics curriculum, matrices were removed from high school math education to reduce the burden on students, but in anticipation of the age of artificial intelligence, they will be reintegrated into the 2022 revised education curriculum. Therefore, there is a need to analyze the matrix content covered in other countries to suggest a meaningful direction for matrix education and to derive implications for textbook composition. In this study, we analyzed the German mathematics curriculum and standard education curriculum, as well as the matrix units in the German Hesse state mathematics curriculum and textbook, and identified the characteristics of their content elements and development methods. As a result of our analysis, it was found that the German textbooks cover matrices in three categories: matrices for solving linear equations, matrices for explaining linear transformations, and matrices for explaining transition processes. It was also found that the emphasis was on mathematical reasoning and modeling when learning matrices. Based on these findings, we suggest that if matrices are to be reintegrated into school mathematics, the curriculum should focus on deep conceptual understanding, mathematical reasoning, and mathematical modeling in textbook composition.

• Journal of Korean Society of Transportation
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• v.19 no.4
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• pp.109-121
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• 2001

본 연구는 공간적 정보를 수집할 수 있는 영상검지기를 이용하여 주어진 대기행렬길이를 기반으로 하는 최적주기 알고리즘을 개발함으로써 교통신호 제어에 대한 새로운 신호계획을 제공한다. 본 연구에서는 교통수요의 공간적인 정보를 획득하는 방안으로서 영상검지기 기반의 대기행렬길이를 사용한다. 전략적 측면에서 다양한 교통상태를 적용하였으며, 주요 결과는 아래와 같다. 1. 영상검지기 기반의 대기행렬길이 계산방안을 제안한다. 이 방법은 한 링크의 상류부와 하류부에 2대의 영상검지기를 설치하여 대기행렬길이를 산출하는 방안이다. 2. 신호제어 변수인 주기 계산모형이 개발된다. 이 방법 역시 영상검지기를 기반으로 하는 대기행렬길이를 사용한다.

• Journal of Korean Institute of Industrial Engineers
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• v.14 no.1
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• pp.43-49
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• 1988

The purpose of this paper is to study the sensitivity analysis of matrix game by means of linear programming. The relations between matrix game and linear programming is well known. In this paper we first transform matrix game into linear programming. The sensitivity analysis of matrix game is performed by that of linear programming.

• Journal of the Korean Institute of Intelligent Systems
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• v.10 no.2
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• pp.168-174
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• 2000

All the visiting customers makes a queue and then can be served at an unoccupied server, in the queueing system of multi-server. The customer and server, however, have a conflictive feeling of satisfaction at all times. To solve the problem, in this paper, it is proposed that new design method of server number to maximize the satisfaction level of customer and server by the hzzy concept which is applied to the queuing system.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2017.06a
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• pp.111-114
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• 2017

본 논문은 동영상 스티칭의 속도 정확도를 향상시키기 위해 호모그래피 행렬 생성과 센서 데이터 활용을 통한 동영상 스티칭 방법을 제안한다. 본 논문에서는 임의의 호모그래피 행렬을 선형으로 생성하여 이미지를 스티칭 하는 방법을 설명하고, 이 과정에서 스티칭 정확도가 낮아지는 단점을 센서 데이터 활용을 통해 보완하는 방법을 소개한다. 1만 쌍의 모든 프레임에서 호모그래피 행렬을 생성 시키는 방법과 본 논문에 제안한 임의의 호모그래피 생성 방법을 비교하였을 때 평균 2.6초 걸리는 스티칭 시간을 약 1.5초 단축시켜 빠른 스티칭을 가능하게 하였다. 또한 선형 호모그래피 행렬만을 사용한 스티칭 한 결과보다 선형 호모그래피 행렬과 센서데이터를 함께 사용하였을 때의 정확도가 28.2% 개선되었음을 확인하였다.

• The Korean Journal of Financial Studies
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• v.14 no.1
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• pp.83-96
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• 2008

본 연구는 Random Matrix Theory(RMT)방법에 의하여 분해된 상관행렬이 원래 주식간 상호작용을 충분히 반영하고 있는지 여부를 Mantegna(1999)에 의하여 제안된 주식 네트워크와 실증적으로 결합 검증하였다. 분석결과에 의하면, RMT 방법으로 분해된 상관행렬을 주식 네트워크와 결합하였을 때, 분해된 상관행렬은 주식간 상호작용에서 의미 있는 요인들의 속성을 적절히 반영하고 있다는 것을 실증적으로 확인할 수 있었다. 이러한 결과를 통하여, 주식간 상호작용을 계량화한 상관행렬을 RMT방법에 의하여 특정 속성을 갖는 상관행렬로 분해하여 재무이론과 결합 검증한다면, 주식간 상호작용을 보다 잘 이해하는데 유용한 방법이 될 수 있음을 확인하였다.