• Title/Summary/Keyword: k-평균군집방법

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Identification of Cluster with Composite Mean and Variance (합성된 평균과 분산을 가진 군집 식별)

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • v.18 no.3
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    • pp.391-401
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    • 2011
  • Consider a cluster, so called a 'son cluster', whose mean and variance is composed of the means and variances of both clusters called as a 'father cluster' and a 'mother cluster'. In this paper, a method for identifying each of three clusters is provided by modeling the relationship with father and mother clusters. Under the normal mixture model, the parameters are estimated via EM algorithm. We were able to overcome the problems of estimation using ECM approximation. Numerical examples show that our method can effectively identify the three clusters, so called a 'family of clusters'.

A Comparison of Cluster Analyses and Clustering of Sensory Data on Hanwoo Bulls (군집분석 비교 및 한우 관능평가데이터 군집화)

  • Kim, Jae-Hee;Ko, Yoon-Sil
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.745-758
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    • 2009
  • Cluster analysis is the automated search for groups of related observations in a data set. To group the observations into clusters many techniques has been proposed, and a variety measures aimed at validating the results of a cluster analysis have been suggested. In this paper, we compare complete linkage, Ward's method, K-means and model-based clustering and compute validity measures such as connectivity, Dunn Index and silhouette with simulated data from multivariate distributions. We also select a clustering algorithm and determine the number of clusters of Korean consumers based on Korean consumers' palatability scores for Hanwoo bull in BBQ cooking method.

Tree-structured Clustering for Continuous Data (연속형 자료에 대한 나무형 군집화)

  • Huh Myung-Hoe;Yang Kyung-Sook
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.661-671
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    • 2005
  • The aim of this study is to propose a clustering method, called tree-structured clustering, by recursively partitioning continuous multivariate dat a based on overall $R^2$ criterion with a practical node-splitting decision rule. The clustering method produces easily interpretable clustering rules of tree types with the variable selection function. In numerical examples (Fisher's iris data and a Telecom case), we note several differences between tree-structured clustering and K-means clustering.

Comparison of clustering with yeast microarray gene expression data (효모 마이크로어레이 유전자발현 데이터에 대한 군집화 비교)

  • Lee, Kyung-A;Kim, Jae-Hee
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.4
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    • pp.741-753
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    • 2011
  • We accomplish clustering analyses for yeast cell cycle microarray expression data. We compare model-based clustering, K-means, PAM, SOM and hierarchical Ward method with yeast data. As the validity measure for clustering results, connectivity, Dunn Index and silhouette values are computed and compared.

The Analysis of Optimal Cluster Number of Precipitation Region with Dunn Index (Dunn 지수를 이용한 최적 강수지역 군집수 분석)

  • Um, Myoung-Jin;Jeong, Chang-Sam;Nam, Woo-Sung;Jung, Young-Hun;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.87-91
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    • 2011
  • 강수는 지역에 따라 발생양상이 매우 다른 자연현상 중 하나이다. 이러한 강수를 효과적으로 분석하여 확률강수량을 산정하기위해서 수문학에서는 다양한 방법이 시도되어 왔다. 우리나라에서는 지점빈도해석을 통한 확률강수량을 주로 사용해왔으나 최근 들어 Hosking and Wallis(1997)가 제안한 지역빈도해석을 활용을 적극 도모 하고 있는 중이다. 이러한 지역빈도해석 기법은 지점빈도해석 기법에 비하여 한정된 강수자료를 활용하는 측면 등 여러 가지 장점을 가진 확률 강수량 산정방법이다. 그러나 이 기법을 적용하여 확률강수량을 산정하기 위해서는 강수의 지역구분을 먼저 수행하여야 한다. 강수지역의 구분을 위해서는 여러 가지 기법이 존재하나 최근에는 Cluster 기법 중 K-means 방법이나 Fuzzy c-means 방법 등을 주로 적용하여 지역구분을 수행하고 있다. 그러나 K-means 방법이나 Fuzzy c-means 방법 등은 산정 방법내에서 최적 군집수를 결정할 수 있는 알고리즘이 없기 때문에 임의적으로 최적 군집수를 결정하여야 한다. 본 연구에서는 이러한 단점을 극복하기 위하여 Cluster 평가지수 중 하나인 Dunn 지수를 이용하여 최적 군집수를 제시하고자 한다. 본 연구에서 강수지역을 구분하기 위하여 적용한 인자는 월 평균 강수량, 연 평균 강수량, 월 최대 강수량, 경도, 위도, 고도 등이며, 이를 K-means, PAM 및 친근도 전파 기법을 통하여 강수지역을 구분하였다. 적정 군집수를 임의적으로 증가시켜 가면서 Dunn 지수를 산정하였다. 산정된 결과를 통하여 최적 군집수를 결정하였다.

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연속형 자료에 대한 나무형 군집화

  • Heo, Myeong-Hui;Yang, Gyeong-Suk
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.49-51
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    • 2005
  • 본 연구는 반복분할(recursive partitioning)에 의한 군집화 방법을 제안하고 활용 예를 제시한다. 이 방법은 나무 형태의 해석하기 쉬운 단순한 규칙을 제공하면서 동시에 변수선택기능을 제공한다.

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Comparison of Document Clustering Performance Using Various Dimension Reduction Methods (다양한 차원 축소 기법을 적용한 문서 군집화 성능 비교)

  • Cho, Heeryon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2018.05a
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    • pp.437-438
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    • 2018
  • 문서 군집화 성능을 높이기 위한 한 방법으로 차원 축소를 적용한 문서 벡터로 군집화를 실시하는 방법이 있다. 본 발표에서는 특이값 분해(SVD), 커널 주성분 분석(Kernel PCA), Doc2Vec 등의 차원 축소 기법을, K-평균 군집화(K-means clustering), 계층적 병합 군집화(hierarchical agglomerative clustering), 스펙트럼 군집화(spectral clustering)에 적용하고, 그 성능을 비교해 본다.

Enhancement of the k-Means Clustering Speed by Emulation of Birds' Motion in Flock (새떼 이동의 모방에 의한 k-평균 군집 속도의 향상)

  • Lee, Chang-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.9
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    • pp.965-970
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    • 2014
  • In an effort to improve the convergence speed in k-means clustering, we introduce the notion of the birds' movement in a flock. Their motion is characterized by the observation that each bird runs after his nearest neighbor. We utilize this feature in clustering procedure. Once the class of a vector is determined, then a number of vectors in the vicinity of it are assigned to the same class. Experiments have shown that the required number of iterations for termination is significantly lower in the proposed method than in the conventional one. Furthermore, the time of calculation per iteration is more than 5% shorter in the proposed case. The quality of the clustering, as determined from the total accumulated distance between the vector and its centroid vector, was found to be practically the same. It might be phrased that we may acquire practically the same clustering result with shorter computational time.

Cluster Merging Using Enhanced Density based Fuzzy C-Means Clustering Algorithm (개선된 밀도 기반의 퍼지 C-Means 알고리즘을 이용한 클러스터 합병)

  • Han, Jin-Woo;Jun, Sung-Hae;Oh, Kyung-Whan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.517-524
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    • 2004
  • The fuzzy set theory has been wide used in clustering of machine learning with data mining since fuzzy theory has been introduced in 1960s. In particular, fuzzy C-means algorithm is a popular fuzzy clustering algorithm up to date. An element is assigned to any cluster with each membership value using fuzzy C-means algorithm. This algorithm is affected from the location of initial cluster center and the proper cluster size like a general clustering algorithm as K-means algorithm. This setting up for initial clustering is subjective. So, we get improper results according to circumstances. In this paper, we propose a cluster merging using enhanced density based fuzzy C-means clustering algorithm for solving this problem. Our algorithm determines initial cluster size and center using the properties of training data. Proposed algorithm uses grid for deciding initial cluster center and size. For experiments, objective machine learning data are used for performance comparison between our algorithm and others.

Stratification Method Using κ-Spatial Medians Clustering (κ-공간중위 군집방법을 활용한 층화방법)

  • Son, Soon-Chul;Jhun, Myoung-Shic
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.677-686
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    • 2009
  • Stratification of population is widely used to improve the efficiency of the estimation in a sample survey. However, it causes several problems when there are some variables containing outliers. To overcome these problems, Park and Yun (2008) proposed a rather subjective method, which finds outliers before $\kappa$-means clustering for stratification. In this study, we propose the $\kappa$-spatial medians clustering method which is more robust than $\kappa$-means clustering method and also does not need the process of finding outliers in advance. We investigate the characteristics of the proposed method through a case study used in Park and Yun (2008) and confirm the efficiency of the proposed method.