• The KIPS Transactions:PartC
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• v.17C no.2
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• pp.181-189
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• 2010

HAP(High Altitude Platform) is a stationary aerial platform positioned in the stratosphere between 17Km and 22Km height and it could act as an MBS (Mobile Base Station). HAP based Network has advantages of both satellite system and terrestrial communication system. In this paper we study the deploy of multiple HAP MBS that can provides efficient communication for users. For this study, EM(Expectation Maximization) clustering algorithm is used to cluster terrestrial mobile nodes. The object of this paper is improving EM algorithm into the clustering algorithm for efficiency in variety aspects considering distance between mobile terminal units and speed of mobile terminal units, and estimating performance of HAP MBS deploy technique with use of improved EM algorithm using RWP (Random Waypoint) node mobility.

• The Korean Journal of Applied Statistics
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• v.16 no.2
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• pp.305-319
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• 2003

This paper provides a non-Bayesian method based on the expanded EM algorithm for segmenting the magnetic resonance images degraded by bias field. For the images with the intensity as a pixel value, many segmentation methods often fail to segment it because of the bias field(with low frequency) as well as noise(with high frequency). Our contextual approach is appropriately designed by using normal mixture model incorporated with Markov random field for noise-corrective segmentation and by using the penalized likelihood to estimate bias field for efficient bias filed-correction.

• The Journal of The Korea Institute of Intelligent Transport Systems
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• v.22 no.4
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• pp.35-47
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• 2023

Various single probability distributions have been used to represent time headway distributions. However, it has often been difficult to explain the time headway distribution as a single probability distribution on site. This study used the EM algorithm, which is one of the maximum likelihood estimations, for the parameters of combined mixture distributions with a certain relationship between two normal distributions for the time headway of vehicles. The time headway distribution of vehicle arrival is difficult to represent well with previously known single probability distributions. But as a result of this analysis, it can be represented by estimating the parameters of the mixture probability distribution using the EM algorithm. The result of a goodness-of-fit test was statistically significant at a significance level of 1%, which proves the reliability of parameter estimation of the mixture probability distribution using the EM algorithm.

• The KIPS Transactions:PartB
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• v.8B no.2
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• pp.173-182
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• 2001

본 논문에서는 투과형 토머그래피 영상재구성을 위하여 EM 알고리즘을 사용하는 경우에 발생하는 문제점을 해결할 수 있는 방안을 제시한다. 일반적으로 토머그래피 영상재구성과 같은 다-차원의 모수 추정인 경우에서는 그것의 페널티 함수의 헤이지안행렬의 역행렬 차수가 매우 높기 때문에 그것을 직접적으로 계산할 수 없다. 이러한 문제점을 해결하기 위하여 PEMG-1 알고리즘을 제안한다. 이 알고리즘은 페널티 함수를 사용하는 그래디언트 형태의 알고리즘인데 이것은 Lange(1995)과 Green(1990)의 알고리즘에서 지적된 문제점을 동시에 해결할 수 있다.

• Proceedings of the KIEE Conference
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• 2002.07d
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• pp.2846-2849
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• 2002

본 논문은 뉴로-퍼지 시스템에서의 규칙 선택 및 모델 학술에 대하여 EM 알고리즘을 기반으로 하는 구조 동정을 제안한다. 뉴로-퍼지 모델링에서의 초기 파라미터가 학습과정에서의 모델 성능에 큰 영향을 주고 있다. 주어진 데이터에 근거한 파라미터 추정에는 다양한 방법들이 소개되고 응용되어져 왔는데 이전 연구들에서 볼 수 있는 HCM, FCM 등은 데이터와의 유클리디언 거리를 최소화하는 중심점을 파라미터로 선택하는 등의 방법과 퍼지 균등화 등은 데이터의 확률 밀도함수를 이용하여 파라미터를 추정하였다. 제안된 방법에서는 데이터에서의 Maximum Likelihood Estimator를 기반으로 하는 방법으로 EM 알고리즘을 이용하였다. 초기 파라미터의 결정에서 EM 알고리즘을 이용하여 뉴로-퍼지 모델의 전제부 소속함수 파라미터 추정을 실시한다. EM 알고리즘을 이용한 퍼지 모델의 특징으로는 전제부가 클러스터링에 의하여 생성되므로 입력의 차원이나 소속함수의 수가 증가하여도 규칙의 수는 증가하지 않는다. 이를 자동차 MPG 예제를 통하여 제안된 방법의 유용성을 보이고자 한다.

• Journal of KIISE:Software and Applications
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• v.34 no.12
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• pp.1045-1055
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• 2007

Latent topic models are statistical models which automatically captures salient patterns or correlation among features underlying a data collection in a probabilistic way. They are gaining an increased popularity as an effective tool in the application of automatic semantic feature extraction from text corpus, multimedia data analysis including image data, and bioinformatics. Among the important issues for the effectiveness in the application of latent topic models to the massive data set is the efficient learning of the model. The paper proposes an accelerated learning technique for PLSA model, one of the popular latent topic models, by an incremental EM algorithm instead of conventional EM algorithm. The incremental EM algorithm can be characterized by the employment of a series of partial E-steps that are performed on the corresponding subsets of the entire data collection, unlike in the conventional EM algorithm where one batch E-step is done for the whole data set. By the replacement of a single batch E-M step with a series of partial E-steps and M-steps, the inference result for the previous data subset can be directly reflected to the next inference process, which can enhance the learning speed for the entire data set. The algorithm is advantageous also in that it is guaranteed to converge to a local maximum solution and can be easily implemented just with slight modification of the existing algorithm based on the conventional EM. We present the basic application of the incremental EM algorithm to the learning of PLSA and empirically evaluate the acceleration performance with several possible data partitioning methods for the practical application. The experimental results on a real-world news data set show that the proposed approach can accomplish a meaningful enhancement of the convergence rate in the learning of latent topic model. Additionally, we present an interesting result which supports a possible synergistic effect of the combination of incremental EM algorithm with parallel computing.

• The Korean Journal of Applied Statistics
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• v.29 no.7
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• pp.1347-1359
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• 2016

Finite mixtures of regression models provide an effective tool to explore a hidden functional relationship between a response variable and covariates. However, it is common in practice that data are not fully observed due to several reasons. In this paper, we derived an expectation-maximization (EM) algorithm to obtain the maximum likelihood estimator when some covariates are missing at random in the finite mixture of regression models. We conduct some simulation studies and we also provide some real data examples to show the validity of the derived EM algorithm.

• Journal of the Korean Institute of Intelligent Systems
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• v.13 no.4
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• pp.416-426
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• 2003

In this paper we propose a new method for choosing the initial values of Expectation-Maximization(EM) algorithm that has been used in various applications for clustering. Conventionally, the initial values were chosen randomly, which sometimes yields undesired local convergence. Later, K-means clustering method was employed to choose better initial values, which is currently widely used. However the method using K-means still has the same problem of converging to local points. In order to resolve this problem, a new method of initializing values for the EM process. The proposed method not only strengthens the characteristics of EM such that the number of iteration is reduced in great amount but also removes the possibility of falling into local convergence.

• The Korean Journal of Applied Statistics
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• v.12 no.2
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• pp.537-551
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• 1999

방출형 토모그래피와는 다르게, 토과형 토모그래피를 위한 통계적 알고리즘들은 매우 늦은 수렴속도와 엄청난 계산시간을 감수해야 했다. 그 주된 이유는 Lange-Carson 모형에 기초한 EM 알고리즘을 사용하고 있기 때문인데, 최근 GCA 기법의 등장으로 계산 시간을 현저히 단축할 수 있는 가능성이 제공되었다. 그러나 GCA 알고리즘은 우도의 단조중가성을 만족시키기 위해 부가적인 계산시간을 희생해야만 한다. 이에 본 연구에서는 프로그래밍이 간편하며, 처리시간이 짧고, 자체로 우도의 단조증가성을 만족하는 투과형 토모그래피를 위한 재구성 알고리즘을 제안한다.

• The Journal of the Acoustical Society of Korea
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• v.24 no.3
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• pp.141-149
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• 2005

Tn general. Gaussian mixture model (GMM) is used to estimate the speaker model from the speech for speaker identification. The parameter estimates of the GMM are obtained by using the Expectation-Maximization (EM) algorithm for the maximum likelihood (ML) estimation. However the EM algorithm has such drawbacks that it depends heavily on the initialization and it needs the number of mixtures to be known. In this paper, to solve the above problems of the EM algorithm. we propose an EM algorithm with the initialization based on incremental ${\cal}k-means$ for GMM. The proposed method dynamically increases the number of mixtures one by one until finding the optimum number of mixtures. Whenever adding one mixture, we calculate the mutual relationship between it and one of other mixtures respectively. Finally. based on these mutual relationships. we can estimate the optimal number of mixtures which are statistically independent. The effectiveness of the proposed method is shown by the experiment for artificial data. Also. we performed the speaker identification by applying the proposed method comparing with other approaches.