• Title/Summary/Keyword: Number of clusters

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Observational Evidence of Merging and Accretion in the Milky Way Galaxy from the Spatial Distribution of Stars in Globular Clusters

  • Chun, Sang-Hyun
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.76-76
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    • 2013
  • The current hierarchical model of galaxy formation predicts that galaxy halos contain merger relics in the form of long stellar streams. In order to find stellar substructures in galaxy, we focused our investigation on the stellar spatial density around globular clusters and on the quantitative properties of the evolved sequences in the color-magnitude diagrams (CMDs). First, we investigated the spatial configuration of stars around five metal-poor globular clusters in halo region (M15, M30, M53, NGC 5053, and NGC 5466) and one metal-poor globular cluster in bulge region (NGC 6626). Our findings indicate that all of these globular clusters show strong evidence of extratidal features in the form of extended tidal tails around the clusters. The orientations of the extratidal features show the signatures of tidal tails tracing the clusters' orbits and the effects of dynamical interactions with the galaxy. These features were also confirmed by the radial surface density profiles and azimuthal number density profiles. Our results suggest that these six globular clusters are potentially associated with the satellite galaxies merged into the Milky Way. Second, we derived the morphological parameters of the red giant branch (RGB) from the near-infrared CMDs of 12 metal-poor globular clusters in the Galactic bulge. The photometric RGB shape indices such as colors at fixed magnitudes, magnitudes at fixed colors, and the RGB slope were measured for each cluster. The magnitudes of the RGB bump and tip were also estimated. The derived RGB parameters were used to examine the overall behavior of the RGB morphology as a function of cluster metallicity. The behavior of the RGB shape parameters was also compared with the previous observational calibration relation and theoretical predictions of the Yonsei-Yale isochrones. Our results of studies for stellar spatial distribution around globular clusters and the morphological properties of RGB stars in globular clusters could add further observational evidence of merging scenario of galaxy formation.

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K-Means Clustering in the PCA Subspace using an Unified Measure (통합 측도를 사용한 주성분해석 부공간에서의 k-평균 군집화 방법)

  • Yoo, Jae-Hung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.4
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    • pp.703-708
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    • 2022
  • K-means clustering is a representative clustering technique. However, there is a limitation in not being able to integrate the performance evaluation scale and the method of determining the minimum number of clusters. In this paper, a method for numerically determining the minimum number of clusters is introduced. The explained variance is presented as an integrated measure. We propose that the k-means clustering method should be performed in the subspace of the PCA in order to simultaneously satisfy the minimum number of clusters and the threshold of the explained variance. It aims to present an explanation in principle why principal component analysis and k-means clustering are sequentially performed in pattern recognition and machine learning.

Speaker Identification with Estimating the Number of Cluster Based on Boundary Subtractive Clustering (경계 차감 클러스터링에 기반한 클러스터 개수 추정 화자식별)

  • Lee, Youn-Jeong;Choi, Min-Jung;Seo, Chang-Woo;Hahn, Hern-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.5
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    • pp.199-206
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    • 2007
  • In this paper we propose a new clustering algorithm that performs clustering the feature vectors for the speaker identification. Unlike typical clustering approaches, the proposed method performs the clustering without the initial guesses of locations of the cluster centers and a priori information about the number of clusters. Cluster centers are obtained incrementally by adding one cluster center at a time through the boundary subtractive clustering algorithm. The number of clusters is obtained from investigating the mutual relationship between clusters. The experimental results for artificial datum and TIMIT DB show the effectiveness of the proposed algorithm as compared with the conventional methods.

Density Aware Energy Efficient Clustering Protocol for Normally Distributed Sensor Networks

  • Su, Xin;Choi, Dong-Min;Moh, Sang-Man;Chung, Il-Yong
    • Journal of Korea Multimedia Society
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    • v.13 no.6
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    • pp.911-923
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    • 2010
  • In wireless sensor networks (WSNs), cluster based data routing protocols have the advantages of reducing energy consumption and link maintenance cost. Unfortunately, most of clustering protocols have been designed for uniformly distributed sensor networks. However, some urgent situations do not allow thousands of sensor nodes being deployed uniformly. For example, air vehicles or balloons may take the responsibility for deploying sensor nodes hence leading a normally distributed topology. In order to improve energy efficiency in such sensor networks, in this paper, we propose a new cluster formation algorithm named DAEEC (Density Aware Energy-Efficient Clustering). In this algorithm, we define two kinds of clusters: Low Density (LD) clusters and High Density (HD) clusters. They are determined by the number of nodes participated in one cluster. During the data routing period, the HD clusters help the neighbor LD clusters to forward the sensed data to the central base station. Thus, DAEEC can distribute the energy dissipation evenly among all sensor nodes by considering the deployment density to improve network lifetime and average energy savings. Moreover, because the HD clusters are densely deployed they can work in a manner of our former algorithm EEVAR (Energy Efficient Variable Area Routing Protocol) to save energy. According to the performance analysis result, DAEEC outperforms the conventional data routing schemes in terms of energy consumption and network lifetime.

The Image Compression Using the Central Vectors of Clusters (Cluster의 중심벡터를 이용하는 영상 압축)

  • Cho, Che-Hwang
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.1
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    • pp.5-12
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    • 1995
  • In the case where the set of training vectors constitute clusters, the codevectors of the codebook which is used to compression for speech and images in the vector quantization are regarded as the central vectors of the clusters constituted by given training vectors. In this work, we consider the distribution of Euclidean distance obtaining in the process of searching for the minimum distance between vectors, and propose the method searching for the proper number of and the central vectors of clusters. And then, the proposed method shows more than the about 4[dB] SNR than the LBG algorithm and the competitive learning algorithm

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Calcium and CN bimodality of RGB stars in Globular clusters with Multiple Populations

  • Lim, Dongwook;Roh, Dong-Goo;Han, Sang-Il;Lee, Young-Wook
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.144.1-144.1
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    • 2012
  • A number of recent observations have established that many globular clusters have double or multiple stellar populations. In particular, recent Calcium and Stromgren b & photometry shows a split in the RGB of some of these globular clusters, including M22, NGC 1851, and NGC 288. However, the origin of this split in the RGB is still controversial. In order to confirm the real difference in Calcium abundance between the two RGBs, we have performed low resolution spectroscopy for RGB stars in these globular clusters. The spectral data were obtained from WFCCD/duPont 2.5m telescope in Las Campanas Observatory. We found a significant bimodality of both Calcium and CN abundances in M22 and NGC 1851. NGC 288, however, shows a clear bimodality only in CN abundance.

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Top-Heavy Initial Mass Function of Star Clusters near the Galactic Centre

  • Park, So-Myoung;Goodwin, Simon P.;Kim, Sungsoo S.
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.2
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    • pp.51.2-51.2
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    • 2018
  • Star clusters are important in understanding star formation. In star-forming regions, the number of stars with mass forms with an initial mass function (IMF), i.e. Chabrier, Salpeter, Kroupa, etc. In our simulations, initially sub-virial fractal star clusters evolve to become surviving sub-regions in strong tidal fields. We investigate the slope of the mass function (MF) of these sub-regions with time near the Galactic centre (GC). These sub-regions would appear to have a top-heavy IMF at ~ 2 Myr. Therefore, although our star-forming region near the GC has a normal IMF, stars in surviving 'clusters' can have a top-heavy 'IMF' due to the violent environment.

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Purchasing Intentions toward Originals and Counterfeits - Foreign Fashion Luxury Brands - (진품과 복제품 구매의도 - 패션 명품을 중심으로 -)

  • Park, Hye-Jung;Jeon, Kyung-Sook
    • Fashion & Textile Research Journal
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    • v.8 no.5
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    • pp.530-536
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    • 2006
  • The purpose of this study was to classify the clusters based on two behavioral intentions toward purchasing originals and counterfeits of foreign fashion luxury brands and to examine the differences in personality characteristics and demographics. This study included attitude toward counterfeit, consumer ethnocentrism, materialism, and need for uniqueness as personality characteristics and gender, monthly household income, and pocket money as demographics. Data were gathered by surveying university students living in Seoul metropolitan area using convenient sampling, and 320questionnaires were used in the statistical analysis. In analyzing data, cluster analysis, x-test, and One-way ANOVA were conducted. As a result of the cluster analysis based on two behavioral intentions toward purchasing originals and counterfeits, four groups were identified. There were significant differences in attitude toward counterfeit and materialism according to the purchasing intention clusters. x-tests also showed there were significant differences between the number of male and female subjects in each of the four clusters. Females are significantly more represented than females in all four clusters.

Monte-Carlo Simulation to the Color Distribution within Galactic Globular Clusters

  • Sohn, Young-Jong;Chun, Mun-Suk
    • Bulletin of the Korean Space Science Society
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    • 1993.10a
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    • pp.18-18
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    • 1993
  • According to the CCD photometric studies, the color distributions of globular clusters with collapsed cores, which are characterized by a power law cusp in thier surface brighness pronto, become bluer toward their centers, but this is not the case in the flat core clusters which are fit by the King model. To test the statistical implication of the color distribution within globular clusters, we built the sample dusters which follows the surface brightness pofile of the King model and power law cusp profile with the Sandage's standao luminosity function for M3 and the Salpter's initial mass functions. On the results from simulations based on the uniform random number generation the color gadients within globualr dusters mar be not likely to come from the statistical random distributions of stars but from the dynamical process on the cluster evolution.

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A study on proper number of stimulations in functional MRI (뇌기능 활성화 검사 시 적정한 자극 횟수에 관한 연구)

  • Son, Soon-Yong;Kim, Yoon-Shin;Choi, Kwan-Woo;Min, Jung-Whan;Lee, Jong-Seok;Yoo, Beong-Gyu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.12
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    • pp.5860-5866
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    • 2012
  • BOLD technique in functional MRI has to apply multiple stimulations. However as the stimulation time increases failure rates rise. In this study we are proposing proper number of stimulations through our experiments. Ten normal people underwent functional MRI hand motor sanning and the paradigms were designed from first to seventh stimulation. Under Philips Intera Achieva 3.0T MR system and Invivo cop's Eloquence equipment, activation periods and rest periods were repeated ten times each, using BOLD EPI technique. Primary hand motor area stimulation and number of clusters, activation rates and number of activated clusters in and outside the region of interest were compared to each other. Number of clusters in region of interest was lower than others at second stimulation and became static from third stimulation. The stimulated ratios were elevated as the number of stimulations were increased but it was not proportional. Number of clusters outside the ROI became static from the third stimulation and started increasing from sixth stimulation. As results, given the activation ratios of ROI and out side the ROI, three times stimulation was the most appropriate because it does not affect accuracy, also decreasing the fatigue of patients by with the decreased scanning time.