• Title/Summary/Keyword: EM 알고리즘

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Accelerating the EM Algorithm through Selective Sampling for Naive Bayes Text Classifier (나이브베이즈 문서분류시스템을 위한 선택적샘플링 기반 EM 가속 알고리즘)

  • Chang Jae-Young;Kim Han-Joon
    • The KIPS Transactions:PartD
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    • v.13D no.3 s.106
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    • pp.369-376
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    • 2006
  • This paper presents a new method of significantly improving conventional Bayesian statistical text classifier by incorporating accelerated EM(Expectation Maximization) algorithm. EM algorithm experiences a slow convergence and performance degrade in its iterative process, especially when real online-textual documents do not follow EM's assumptions. In this study, we propose a new accelerated EM algorithm with uncertainty-based selective sampling, which is simple yet has a fast convergence speed and allow to estimate a more accurate classification model on Naive Bayesian text classifier. Experiments using the popular Reuters-21578 document collection showed that the proposed algorithm effectively improves classification accuracy.

Speedup of EM Algorithm by Binning Data for Normal Mixtures (혼합정규분포의 모수 추정에서 구간도수 EM 알고리즘의 실행 속도 개선)

  • Oh, Chang-Hyuck
    • Communications for Statistical Applications and Methods
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    • v.15 no.1
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    • pp.1-11
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    • 2008
  • For a large data set the high computational cost of estimating the parameters of normal mixtures with the conventional EM algorithm is crucially impedimental in applying the algorithm to the areas requiring high speed computation such as real-time speech recognition. Simulations show that the binned EM algorithm, being compared to the standard one, significantly reduces the cost of computation without loss in accuracy of the final estimates.

A Novel Expectation-Maximization based Channel Estimation for OFDM Systems (Expectation-Maximization 기반의 새로운 OFDM 채널 추정 방식)

  • Kim, Nam-Kyeom;Sohn, In-Soo;Shin, Jae-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.4C
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    • pp.397-402
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    • 2009
  • Accurate estimation of time-selective fading channel is a difficult problem in OFDM(Orthogonal Frequency Division Multiplexing) system. There are many channel estimation algorithms that are very weak in noisy channel. For solving this problem, we use EM (Expectation-Maximization) algorithm for iterative optimization of the data. We propose an EM-LPC algorithm to estimate the time-selective fading. The proposed algorithm improves of the BER performance compared to EM based channel estimation algorithm and reduces the iteration number of the EM loop. We simulated the uncoded system. If coded system use the EM-LPC algorithm, the performance are enhanced because of the coding gain. The EM-LPC algorithm is able to apply to another communication system, not only OFDM systems. The image processing of the medical instruments that the demand of accurate estimation can also use the proposed algorithm.

Incremental EM algorithm with multiresolution kd-trees and cluster validation and its application to image segmentation (다중해상도 kd-트리와 클러스터 유효성을 이용한 점증적 EM 알고리즘과 이의 영상 분할에의 적용)

  • Lee, Kyoung-Mi
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.6
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    • pp.523-528
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    • 2015
  • In this paper, we propose a new multiresolutional and dynamic approach of the EM algorithm. EM is a very popular and powerful clustering algorithm. EM, however, has problems that indexes multiresolution data and requires a priori information on a proper number of clusters in many applications, To solve such problems, the proposed EM algorithm can impose a multiresolution kd-tree structure in the E-step and allocates a cluster based on sequential data. To validate clusters, we use a merge criteria for cluster merging. We demonstrate the proposed EM algorithm outperforms for texture image segmentation.

A New Fast EM Algorithm (새로운 고속 EM 알고리즘)

  • 김성수;강지혜
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.10
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    • pp.575-587
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    • 2004
  • In this paper. a new Fast Expectation-Maximization algorithm(FEM) is proposed. Firstly the K-means algorithm is modified to reduce the number of iterations for finding the initial values that are used as the initial values in EM process. Conventionally the Initial values in K-means clustering are chosen randomly. which sometimes forces the process of clustering converge to some undesired center points. Uniform partitioning method is added to the conventional K-means to extract the proper initial points for each clusters. Secondly the effect of posterior probability is emphasized such that the application of Maximum Likelihood Posterior(MLP) yields fast convergence. The proposed FEM strengthens the characteristics of conventional EM by reinforcing the speed of convergence. The superiority of FEM is demonstrated in experimental results by presenting the improvement results of EM and accelerating the speed of convergence in parameter estimation procedures.

An Explicit Solution of EM Algorithm in Image Deblurring: Image Restoration without EM iterations (영상흐림보정에서 EM 알고리즘의 일반해: 반복과정을 사용하지 않는 영상복원)

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • v.16 no.3
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    • pp.409-419
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    • 2009
  • In this article, an explicit solution of the EM algorithm for the image deburring is presented. To obtain the restore image from the strictly iterative EM algorithm is quite time-consumed and impractical in particular when the underlying observed image is not small and the number of iterations required to converge is large. The explicit solution provides a quite reasonable restore image although it exploits the approximation in the outside of the valid area of image, and also allows to obtain the effective EM solutions without iteration process in real-time in practice by using the discrete finite Fourier transformation.

An Alternating Approach of Maximum Likelihood Estimation for Mixture of Multivariate Skew t-Distribution (치우친 다변량 t-분포 혼합모형에 대한 최우추정)

  • Kim, Seung-Gu
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.819-831
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    • 2014
  • The Exact-EM algorithm can conventionally fit a mixture of multivariate skew distribution. However, it suffers from highly expensive computational costs to calculate the moments of multivariate truncated t-distribution in E-step. This paper proposes a new SPU-EM method that adopts the AECM algorithm principle proposed by Meng and van Dyk (1997)'s to circumvent the multi-dimensionality of the moments. This method offers a shorter execution time than a conventional Exact-EM algorithm. Some experments are provided to show its effectiveness.

Segmentation of Color Image using the Deterministic Annealing EM Algorithm (결정적 어닐링 EM 알고리즘을 이요한 칼라 영상의 분할)

  • Cho, Wan-Hyun;Park, Jong-Hyun;Park, Soon-Young
    • Journal of KIISE:Databases
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    • v.28 no.3
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    • pp.324-333
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    • 2001
  • In this paper we present a novel color image segmentation algorithm based on a Gaussian Mixture Model(GMM). It is introduced a Deterministic Annealing Expectation Maximization(DAEM) algorithm which is developed using the principle of maximum entropy to overcome the local maxima problem associated with the standard EM algorithm. In our approach, the GMM is used to represent the multi-colored objects statistically and its parameters are estimated by DAEM algorithm. We also develop the automatic determination method of the number of components in Gaussian mixtures models. The segmentation of image is based on the maximum posterior probability distribution which is calculated by using the GMM. The experimental results show that the proposed DAEM can estimate the parameters more accurately than the standard EM and the determination method of the number of mixture models is very efficient. When tested on two natural images, the proposed algorithm performs much better than the traditional algorithm in segmenting the image fields.

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Learning and Propagation Framework of Bayesian Network using Meta-Heuristics and EM algorithm considering Dynamic Environments (EM 알고리즘 및 메타휴리스틱을 통한 다이나믹 환경에서의 베이지안 네트워크 학습 전파 프레임웍)

  • Choo, Sanghyun;Lee, Hyunsoo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.26 no.5
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    • pp.335-342
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    • 2016
  • When dynamics changes occurred in an existing Bayesian Network (BN), the related parameters embedding on the BN have to be updated to new parameters adapting to changed patterns. In this case, these parameters have to be updated with the consideration of the causalities in the BN. This research suggests a framework for updating parameters dynamically using Expectation Maximization (EM) algorithm and Harmony Search (HS) algorithm among several Meta-Heuristics techniques. While EM is an effective algorithm for estimating hidden parameters, it has a limitation that the generated solution converges a local optimum in usual. In order to overcome the limitation, this paper applies HS for tracking the global optimum values of Maximum Likelihood Estimators (MLE) of parameters. The proposed method suggests a learning and propagation framework of BN with dynamic changes for overcoming disadvantages of EM algorithm and converging a global optimum value of MLE of parameters.

A Study for Efficient EM Algorithms for Estimation of the Proportion of a Mixed Distribution (분포 혼합비율의 모수추정을 위한 효율적인 알고리즘에 관한 연구)

  • 황강진;박경탁;유희경
    • Journal of Korean Society for Quality Management
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    • v.30 no.4
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    • pp.68-77
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    • 2002
  • EM algorithm has good convergence rate for numerical procedures which converges on very small step. In the case of proportion estimation in a mixed distribution which has very big incomplete data or of update of new data continuously, however, EM algorithm highly depends on a initial value with slow convergence ratio. There have been many studies to improve the convergence rate of EM algorithm in estimating the proportion parameter of a mixed data. Among them, dynamic EM algorithm by Hurray Jorgensen and Titterington algorithm by D. M. Titterington are proven to have better convergence rate than the standard EM algorithm, when a new data is continuously updated. In this paper we suggest dynamic EM algorithm and Titterington algorithm for the estimation of a mixed Poisson distribution and compare them in terms of convergence rate by using a simulation method.