• 제목/요약/키워드: Compositional data

검색결과 129건 처리시간 0.026초

Compositional data analysis by the square-root transformation: Application to NBA USG% data

  • Jeseok Lee;Byungwon Kim
    • Communications for Statistical Applications and Methods
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    • 제31권3호
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    • pp.349-363
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    • 2024
  • Compositional data refers to data where the sum of the values of the components is a constant, hence the sample space is defined as a simplex making it impossible to apply statistical methods developed in the usual Euclidean vector space. A natural approach to overcome this restriction is to consider an appropriate transformation which moves the sample space onto the Euclidean space, and log-ratio typed transformations, such as the additive log-ratio (ALR), the centered log-ratio (CLR) and the isometric log-ratio (ILR) transformations, have been mostly conducted. However, in scenarios with sparsity, where certain components take on exact zero values, these log-ratio type transformations may not be effective. In this work, we mainly suggest an alternative transformation, that is the square-root transformation which moves the original sample space onto the directional space. We compare the square-root transformation with the log-ratio typed transformation by the simulation study and the real data example. In the real data example, we applied both types of transformations to the USG% data obtained from NBA, and used a density based clustering method, DBSCAN (density-based spatial clustering of applications with noise), to show the result.

영주저반의 부석심성암체 내에서 공간적 조성변화와 그 성인 (Spatial Compositional Variations and their Origins in the Buseok Pluton, Yeongju Batholith)

  • 황상구
    • 자원환경지질
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    • 제33권2호
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    • pp.147-163
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    • 2000
  • The Buseok pluton in the Yeongju Batholith is a comagmatic plutonic rocks which haveconcentrically compositional zoning. The lithofacies of the Buseok pluton comprise hornblende biotite tonalite in the southern part of the pluton, porphyritic and equigranular biotite granodiorite in the northern part and biotite granite in the north-central part. The compositional variations change gradually with continuity both within and between the lithofacies. The concentrically zoned pattern is relatively mafic rocks composed of high-temperature mineral assemblages in margin of the southern part, passing inward and northward gradually to more felsic rock in core of the north-central part. Changes in the textures and microstructures, as well as in the mineral content, take place between rock types of the plutons. Darker colored, generally coarse-grained, well foliated tonalite pass inward to light colored, coarse-grained, poorly foliated granodiorite, and finally give way to lighter colored, medium-grained, nearly nonfoliated granite. The foliation are best developed in the marginal part of the tonalite. Here, the regional myolitic foliation in the tonalite is steep northward and parallels to its southeastern contact with the country rock, but the magmatic foliation from disc-shaped mafic microgranitoid enclaves is subvertical and parallels the contacts with the country rock. As the tonalite approaches biotite granite in composition, the foliation is indistinct. Modal and chemical data for the pluton show quantitative compositional variation from the margin of the southern part to the core of the north-central part. Quartz and K-feldspar increase toward the core of the pluton, whereas hornblende, biotite and color index decrease. /Abundances of $SiO_2$and $K_2O$$_2$O increase toward the core according to the variation in quartz and K-feldspar, whereas those of MnO, CaO, $TiO_2$, $Fe_2O_3$, MgO and $P_2O_5$ decrease corresponding to the variation in mafic and accessaries. The compositional zonation resulted from fractional crystallization involving downward settling of earlier crystals, accompanied by upward movement of melt and volatiles, and followed by accessary marginal accretion of crystalline material in the magma to the marginal part. Although a little crustal contamination by the wall rock is recognized from the isotope data, the contamination is not only dominated over but also appropriate for forming the compositional variation in the pluton.

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The alignment between contextual and model generalization: An application with PISA 2015

  • Wan Ren;Wendy Chan
    • Communications for Statistical Applications and Methods
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    • 제31권5호
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    • pp.467-485
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    • 2024
  • Policymakers and educational researchers have grown increasingly interested in the extent to which study results generalize across different groups of students. Current generalization research in education has largely focused on the compositional similarity among students based on a set of observable characteristics. However, generalization is defined differently across various disciplines. While the concept of compositional similarity is prominent in causal research, generalization among the statistical learning community refers to the extent to which a model produces accurate predictions across samples and populations. The purpose of this study is to assess the extent to which concepts related to contextual generalization (based on compositional similarity) are associated with the ideas related to model generalization (based on accuracy of prediction). We use observational data from the Programme for International Student Assessment (PISA) 2015 wave as a case study to examine the conditions under which contextual and model generalization are aligned. We assess the correlations between statistical measures that quantify compositional similarity and prediction accuracy and discuss the implications for generalization research.

기계학습을 이용한 밴드갭 예측과 소재의 조성기반 특성인자의 효과 (Compositional Feature Selection and Its Effects on Bandgap Prediction by Machine Learning)

  • 남충희
    • 한국재료학회지
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    • 제33권4호
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    • pp.164-174
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    • 2023
  • The bandgap characteristics of semiconductor materials are an important factor when utilizing semiconductor materials for various applications. In this study, based on data provided by AFLOW (Automatic-FLOW for Materials Discovery), the bandgap of a semiconductor material was predicted using only the material's compositional features. The compositional features were generated using the python module of 'Pymatgen' and 'Matminer'. Pearson's correlation coefficients (PCC) between the compositional features were calculated and those with a correlation coefficient value larger than 0.95 were removed in order to avoid overfitting. The bandgap prediction performance was compared using the metrics of R2 score and root-mean-squared error. By predicting the bandgap with randomforest and xgboost as representatives of the ensemble algorithm, it was found that xgboost gave better results after cross-validation and hyper-parameter tuning. To investigate the effect of compositional feature selection on the bandgap prediction of the machine learning model, the prediction performance was studied according to the number of features based on feature importance methods. It was found that there were no significant changes in prediction performance beyond the appropriate feature. Furthermore, artificial neural networks were employed to compare the prediction performance by adjusting the number of features guided by the PCC values, resulting in the best R2 score of 0.811. By comparing and analyzing the bandgap distribution and prediction performance according to the material group containing specific elements (F, N, Yb, Eu, Zn, B, Si, Ge, Fe Al), various information for material design was obtained.

청송 북부 화성관입체들의 조성대비에 의한 청송 암맥군의 공급원 고찰 (Source Evaluation of Rhyolitic Dike Swarm from Compositional Correlations of Igneous Intrusions in the Northern Cheongsong, Korea)

  • 황상구;권태호;김효진;안웅산;정기영
    • 암석학회지
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    • 제27권2호
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    • pp.73-84
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    • 2018
  • 청송 북부에는 청송 암맥군, 중태산 병반과 갈평지 암주 등의 화성관입체를 산출한다. 청송 암맥군은 다양한 구과를 발달시키는 유문암질 암맥들로 구성된다. 암맥들의 분포는 갈평지 암주를 중심으로 기하학적으로 방사상 패턴을 나타낼 뿐만 아니라, 관입체들의 화학조성은 암맥군의 공급원을 지시한다. 여기서 우리는 3개 관입체로부터 28개의 시료에 대한 조성적 자료를 보고한다. 관입체들은 같은 유문암질 조성이지만, 조성대비에 의하면, 관입체 조성 간에 상당히 중첩된다. 특히 청송 암맥군은 암석 색깔에 의해 몇몇 암맥그룹으로 구분되고 조성 다양성을 나타내지만, 대체로 기타 관입암 조성과 중첩을 나타낸다. 중태산 병반은 청송 암맥군과 비교하면 알칼리, $K_2O$$Al_2O_3$이 더 풍부하며 $Fe_2O_3{^t}$, $TiO_2$과 REE가 더 고갈되어 있다. 이와 대조적으로, 갈평지 암주는 화학조성이 더 좁은 범위를 나타내며, 청송 암맥군과 흔히 예리한 조성중첩을 가진다. 이러한 조성대비에 의하면 갈평지 암주는 조성적으로 청송 암맥군의 공급원으로 판단되며 화산작용의 에피소드로 연결된다고 생각된다.

제주도 송악산 단성화산의 암석학적 진화 (Petrologic Evolution of the Songaksan Monogenetic Volcano, Jeju Island, Korea)

  • 황상구;원종관;이문원;윤성효;이인우;김성규
    • 암석학회지
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    • 제10권1호
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    • pp.13-26
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    • 2001
  • 이 연구는 송악산 화산의 층서에 따라 시료를 채취하여 암석기재, 암석화학적 변화를 추적하여 이 화산의 암석학적 진화를 밝히는 것이다. 송파산 화산은 응회환, 분석구, 용암연, 소분석구로 구성되는 작은 단성복식화산이다. 조성변화는 응회환의 안산암 성분에서 분석구와 용암연의 조면현무암 성분에 이른다. 응회환에서의 안산암은 분출시에 폭발지점에서 석영 등의 외래물질 혼입으로 다소 이탈된 깃이며 이를 고려하면 원래 마그마 조성이 조면현무암에 가까운 조면안산암이다. 따라서 조성변화는 조면안산암에서 조면현무암까지 변하며, 제주도 화산암류에서 널리 인식되는 가상 진화된 조성과 더 원시적인 조성 사이의 연속선에 놓인다. 그러나 전체적으로 이들은 분츨전에 조성이 조면안산암에서 조면현무암으로 누대된 마그마저장소에서 유래된 것으로 생각되며, 이 조성누대는 알칼리 마그마에서 분별결정작용에 의해 초래된 것이다. 결론적으로 송악산 화산은 조성누대된 마그마저장소의 상단으로부터 출조되고 다음에 계속적으로 아래의 더 원시적인 마그마를 분출하였다.

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한국재래계의 난구성분에 대한 유전력 및 유전상관의 추정 (Esthnation of the Heritabilities and Genetic Correlations on Egg Compositional Trsaits in Korean Native Chicken)

  • 한성욱;상병찬;이준현;정욱수;상병돈
    • 한국가금학회지
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    • 제25권1호
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    • pp.11-19
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    • 1998
  • This study was conducted to estimate the heritabilities and genetic correlations on egg weight and egg compositional traits for breeding plan and selection in Korean native chicken. Data analyzed were the records of 46,908 eggs from 430 layers produced from 180 dam and 26 sire families, from April, 1994 to September, 1995. On egg weight and egg compositional traits at 1st egg, 300 and 500 days of age, the egg weights were 41.489, 49.544 and 52.770g ; the albumin weights were 25.953, 29.979 and 31.288g; the yolk weights were 11.091, 14.541 and 16.368g; shell weights were 4.472, 5.037 and 5.099g, respectively. The estimates of heritability of egg weights and egg compositional traits based on the variance of sires, dams and combined components at 300 days of age were 0.214, 0.226 and 0.720 for egg weight ; 0.307, 0.152 and 0.730 for albumin weight ; 0.124, 0.953 and 0.699 for yolk weight ; 0.047, 0.026 and 0.536 for shell weight. The genetic correlation coefficient between egg weight and albumen weight was 0.083~0.951 ; 0.310~0.507 between egg weight and yolk weight ; 0.242~0.523 between egg weight and shell weight ; 0. 237~0. 413 between albumen weight and yolk weight ; 0.232~0.449 between albumen weight and shell weight ; -0.264~0.239 between yolk weight and shell weight, respectively.

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건축에서 공간형상의 체계적 구성논리를 적용한 모델화에 관한 연구 (A Study on Model applied to Logic of Systematic Composition on the Space and Shape in Architecture)

  • 이상화
    • 한국주거학회논문집
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    • 제10권2호
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    • pp.175-183
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    • 1999
  • This study aims at modeling the compositional method in the architectural space and shape. The composition of space is composed of the position and the area in space. Therefore these elements are established to the functional program applied at the behavioral data. The element of spatial structure is position and scale in space, and the composition of spatial shape is developed repitionally to the combination of build-up method. The functional program is being expertised and the scale in building being lager, the importance of functional program is increased. Applied at data of the functional program at spatial structure, the process is developed to the method of combination. The purpose of this study is approached at the degree of application in modeling on the compositional method in architectural space and shape, which is a fundamental aspect on the quantitative analysis of architectural space.

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Influence of MBE Growth Temperature on the Sulfur Compositional Variation Of ZnSSe Epitaxial Layers on GaAs Substrates

  • Kim, Dong-Lyeul;Bae, In-Ho;Son, Jeong-Sik;Kim, In-Su;Lee, Jae-Young m;Akira Yoshida
    • Transactions on Electrical and Electronic Materials
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    • 제1권3호
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    • pp.18-22
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    • 2000
  • In this work, we reported the sulfur compositional variation of ZnS$\_$x/Se$\_$1-x/ epitaxial layers with growth temperature and BEP ration of ZnX/Se/)P$\_$ZnS//P$\_$Se/) grown on GaAs substrates by molecular beam epitaxy. The sulfur composition of ZnSSe epitaxial layers was varied sensitively on the growth temperature and show different linear relationship with growth temperature and BEP ration of ZnS/Se(P$\_$ZnS//P$\_$Se/), which revealed -0.107 %$\^{C}$ at (P$\_$ZnS//P$\_$Se/)=0.30 and -0.052 %$\^{C}$ at (P$\_$ZnS//P$\_$Se/)=0.158 rspectively. A reference data for the accurate control of the sulfur composition and the growth of high quality ZnSSe/GaAs epitaxial layers was provided.

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