• The Journal of the Acoustical Society of Korea
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• v.13 no.2E
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• pp.68-75
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• 1994

In many applications of signal processing, we have to deal with densities which are highly non-Gaussian or which may have Gaussian shape in the middle but have potent deviations in the tails. To fight against these deviations, we consider a finite mixture distribution for the speech excitation. We utilize the EM algorithm for the estimation of speech parameters and their enhancement. Robust Kalman filtering is used in the enhancement process, and a detection/estimation technique is used for parameter estimation. Experimental results show that the proposed algorithm performs better in adverse SNR input conditions.

• Communications for Statistical Applications and Methods
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• v.16 no.6
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• pp.925-936
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• 2009

There very many approaches to impute missing values in the iid. case. However, it is hardly found the imputation techniques in the Markov random field(MRF) case. In this paper, we show that the imputation under MRF is just to impute by fitting the normal mixture model(NMM) under several practical assumptions. Our multivariate normal mixture model based approaches under MRF is applied to impute the missing pixel values of 3-variate (R, G, B) color image, providing a technique to smooth the imputed values.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.24 no.8A
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• pp.1156-1162
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• 1999

In this paper, the problem of decoding transmitted data sequence with diversity reception in the presence of nondelective fading is studied. The expection maximizaton (EM) algorithm is employed to derive an interactive algorithm. The algorithm performs block-by-block coherent decoding with the aid of pilot symbols. It is shown that the complexity of the algorithm grows linearly as a function of sequence length. The performance of the algorithm is shown to better than that of the conventional pilot symbol aided (PSI) algorithm. Simulation results are presented to assess the performance of the algorithm and the results are compared with that of the conventional PSI alforithm.

• The Korean Journal of Applied Statistics
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• v.24 no.3
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• pp.547-557
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• 2011

In this paper we developed a statistical model for traffic volume data which collected from a spot of specific local state road. One peculiar property of daily traffic data is that it has bimodal shape which have two peaks on times of both going to office and coming back to home. So, various mixture models of circular distribution are suggested for bimodal traffic data and EM algorithms are applied to estimate the parameters of the suggested models. To compare the accuracy of the suggested models, classical regressions with dummy variables are also considered. The suggested models for traffic volumn data can be effectively used to estimate missing values due to measuring instrument disorder.

• Communications for Statistical Applications and Methods
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• v.5 no.3
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• pp.743-754
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• 1998

EM 알고리즘은 통계적 화상복원에서 흔히 사용되는 방법이다. 특히 OSL 알고리즘은 다소 복잡한 형태의 페널티 함수가 주어지더라도 쉽게 반복 알고리즘을 유도할 수 있다는 장점을 갖는다. 그러나 이 알고리즘은 평활상수의 매우 제한된 영역에서만 수렴이 허용되어, 화상복원시 실험자의 경험의 폭을 상당히 제약하는 단점을 가지고 있다. 본 논문에서는 OSL 알고리즘을 변형하여, 수렴 허용영역이 확대된 평활상수를 갖는 알고리즘을 제시하고 그 수렴성질을 밝히며, 화상실험을 통해 제안된 알고리즘의 유용성을 밝힌다.

• Proceedings of the KIEE Conference
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• 2003.07d
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• pp.2615-2617
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• 2003

The Kalman filter is a recursive Linear Estimator for the linear dynamic systems(LDS) affected by two different noises called process noise and measurement noise both of which are uncorrelated white. The Expectation Maximization(EM) algorithm is employed in this paper as a preprocessor to reinforce the effectiveness of Kalman estimator. Particularly, we focus on the relation between Kalman filter and EM algorithm in the LDS. In this paper, we propose a new algorithm to improve the performance on the parameter estimation via EM algorithm, which improves the overall process of Kalman filtering. Since Kalman filter algorithm not only needs the system parameters but also is very sensitive the initial state conditions, the initial conditions decided through EM turns out to be very effective. In experiments, the computer simulation results ate provided to demonstrate the superiority of the proposed algorithm.

• Journal of the Institute of Electronics and Information Engineers
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• v.50 no.2
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• pp.185-192
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• 2013

In this paper, proposed to improve the performance of speech and mixed content signal classification using MFCC based on GMM probability model used for the MPEG USAC(Unified Speech and Audio Coding) standard. For effective pattern recognition, the Gaussian mixture model (GMM) probability model is used. For the optimal GMM parameter extraction, we use the expectation maximization (EM) algorithm. The proposed classification algorithm is divided into two significant parts. The first one extracts the optimal parameters for the GMM. The second distinguishes between speech and mixed content signals using MFCC feature parameters. The performance of the proposed classification algorithm shows better results compared to the conventionally implemented USAC scheme.

• 한국데이터정보과학회:학술대회논문집
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• 2003.05a
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• pp.145-158
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• 2003

불완전 데이터 즉, 결측값을 가지는 데이터를 분석할 경우 결측데이터에 대해서 어떠한 처리를 해야할 필요가 있다. 결측데이터에 대한 처리로서 주로 이용되어온 방법으로는 결측값을 포함한 관측값(case)을 제외하는 방법이었다. 이후 여러 방법들이 제안되어 EM알고리즘이나 회귀알고리즘에 의한 추정을 바탕으로 결측값에 대한 추정을 해서 그 추정값으로 결측값을 대치하는 방법을 사용할 수 있게되었다. 본 논문에서는 복수 개의 데이터세트를 생성해서 대치하는 다중대입 소프트인 SOLAS를 소개한다.

• Proceedings of the Korean Nuclear Society Conference
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• 1996.05b
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• pp.719-724
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• 1996

본 연구는 유지, 보수되는 상시 작동 시스템에 대한 신뢰성 분석을 위해 동적 불완전 수리모형 및 분석 절차의 개발을 수행하였다. 또한 수리 상태에 대한 데이타가 완전히 잠재적(masked)이라 하더라도 기본 분포(base-line distribution)가 와이블 분포라는 가정하에 모수적 추정 절차를 개발하였다. 개발된 추정 절차는 기본적으로 EM(Expectation and Maximization : EM) 알고리즘의 틀(framework)을 유지하고 있다. 특히 최소 수리 특성으로 인해 분포가 변화함에 따라 발생하는 추정의 어려움을 해결하기 위해 데이타 변환(transformation)식을 제시하고 이러한 변환 데이타를 사용함으로써 추가적 데이타의 요구없이 잠재적 데이타를 사용하여 추정을 가능하게 하는 모수 추정 알고리즘을 제시하였다.

• Nuclear Medicine and Molecular Imaging
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• v.41 no.3
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• pp.234-240
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• 2007

Purpose: In this study we propose a block-iterative method for reconstructing Compton scattered data. This study shows that the well-known expectation maximization (EM) approach along with its accelerated version based on the ordered subsets principle can be applied to the problem of image reconstruction for Compton camera. This study also compares several methods of constructing subsets for optimal performance of our algorithms. Materials and Methods: Three reconstruction algorithms were implemented; simple backprojection (SBP), EM, and ordered subset EM (OSEM). For OSEM, the projection data were grouped into subsets in a predefined order. Three different schemes for choosing nonoverlapping subsets were considered; scatter angle-based subsets, detector position-based subsets, and both scatter angle- and detector position-based subsets. EM and OSEM with 16 subsets were performed with 64 and 4 iterations, respectively. The performance of each algorithm was evaluated in terms of computation time and normalized mean-squared error. Results: Both EM and OSEM clearly outperformed SBP in all aspects of accuracy. The OSEM with 16 subsets and 4 iterations, which is equivalent to the standard EM with 64 iterations, was approximately 14 times faster in computation time than the standard EM. In OSEM, all of the three schemes for choosing subsets yielded similar results in computation time as well as normalized mean-squared error. Conclusion: Our results show that the OSEM algorithm, which have proven useful in emission tomography, can also be applied to the problem of image reconstruction for Compton camera. With properly chosen subset construction methods and moderate numbers of subsets, our OSEM algorithm significantly improves the computational efficiency while keeping the original quality of the standard EM reconstruction. The OSEM algorithm with scatter angle- and detector position-based subsets is most available.