• Title/Summary/Keyword: Non-hierarchical Space

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Abell 2261: a fossil galaxy cluster in a transition phase

  • Kim, Hyowon;Ko, Jongwan;Kim, Jae-woo;Smith, Rory;Song, Hyunmi;Hwang, Ho Seong
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.2
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    • pp.33.2-33.2
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    • 2018
  • Fossil galaxy cluster has a dominant central elliptical galaxy (${\Delta}M12$ >2 in 0.5Rvir) embedded in highly relaxed X-ray halo, which indicates dynamically stable and passively evolved system. These features are expected as a final stage of the cluster evolution in the hierarchical structure formation paradigm. It is known that Abell 2261(A2261 hereafter) is classified as a fossil cluster, but has unusual features such as a high central X-ray entropy (i.e., non-cool core system), which is not expected in normal fossil clusters. We perform a kinematic study with a spectroscopic data of 589 galaxies in the A2261 field. We define cluster member galaxies using the caustic method and discover a new second bright galaxy at ~1.5 Rvir (nearly the splash-back region). It implies the current fossil state of the cluster can break in the near future. In addition, with three independent substructure finding methods, we find that A2261 has many substructures within 3 Mpc from the center of the cluster. These findings support that A2261 is not in a dynamically stable state. We argue that A2261 is in a transitional phase of dynamical evolution of the galaxy cluster and maybe previously defined fossil cluster does not mean the final stage of the evolution of galaxy clusters.

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Formation and Evolution of Contact Binaries

  • Eggleton, Peter P.
    • Journal of Astronomy and Space Sciences
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    • v.29 no.2
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    • pp.145-149
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    • 2012
  • I describe a series of processes, including hierarchical fragmentation, gravitational scattering, Kozai cycles within triple systems, tidal friction and magnetic braking, that I believe are responsible for producing the modest but significant fraction of stars that are observed as contact binaries. I also discuss further processes, namely heat transport, mass transport, nuclear evolution, thermal relaxation oscillations, and further magnetic braking with tidal friction, that influence the evolution during contact. The endpoint, for contact, is that the two components merge into a single star, as recently was observed in the remarkable system V1309 Sco. The single star probably throws off some mass and rotates rapidly at first, and then slows by magnetic braking to become a rather inconspicuous but normal dwarf or subgiant. If however the contact binary was part of a triple system originally-as I suggested above was rather likely-then the result could be a $widish$ binary with apparently non-coeval components. There are several such known.

Changing Students' Conceptions of Mathematics through the Introduction of Variation

  • Wong, Ngai-Ying;Kong, Chit-Kwong;Lam, Chi-Chung;Wong, Ka-Ming Patrick
    • Research in Mathematical Education
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    • v.14 no.4
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    • pp.361-380
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    • 2010
  • Some 400 Secondary One (i.e. seventh-grade) students from 10 schools were provided with non-routine mathematical problems in their normal mathematics classes as exercises for one academic year. Their attitudes toward mathematics, their conceptions of mathematics and their problem-solving performance were measured both in the beginning and at the end of the year. Hierarchical regression analyses revealed that the introduction of an appropriate dose of non-routine problems would generate some effects on the students' conceptions of mathematics. A medium dose of non-routine problems (as reported by the teachers) would result in a change of the students' conception of mathematics to perceiving mathematics as less of "a subject of calculables." On the other hand, a high dose would lead students to perceive mathematics as more useful and more as a discipline involving thinking. However, with a low dose of non-routine problems, students found mathematics more "friendly" (free from fear). It is therefore proposed that the use of non-routine mathematical problems to an appropriate extent can induce changes in students' "lived space" of mathematics learning and broaden their conceptions of mathematics and mathematics learning.

Statistical Inference in Non-Identifiable and Singular Statistical Models

  • Amari, Shun-ichi;Amari, Shun-ichi;Tomoko Ozeki
    • Journal of the Korean Statistical Society
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    • v.30 no.2
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    • pp.179-192
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    • 2001
  • When a statistical model has a hierarchical structure such as multilayer perceptrons in neural networks or Gaussian mixture density representation, the model includes distribution with unidentifiable parameters when the structure becomes redundant. Since the exact structure is unknown, we need to carry out statistical estimation or learning of parameters in such a model. From the geometrical point of view, distributions specified by unidentifiable parameters become a singular point in the parameter space. The problem has been remarked in many statistical models, and strange behaviors of the likelihood ratio statistics, when the null hypothesis is at a singular point, have been analyzed so far. The present paper studies asymptotic behaviors of the maximum likelihood estimator and the Bayesian predictive estimator, by using a simple cone model, and show that they are completely different from regular statistical models where the Cramer-Rao paradigm holds. At singularities, the Fisher information metric degenerates, implying that the cramer-Rao paradigm does no more hold, and that he classical model selection theory such as AIC and MDL cannot be applied. This paper is a first step to establish a new theory for analyzing the accuracy of estimation or learning at around singularities.

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A Comparative Study on Clustering Methods for Grouping Related Tags (연관 태그의 군집화를 위한 클러스터링 기법 비교 연구)

  • Han, Seung-Hee
    • Journal of the Korean Society for Library and Information Science
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    • v.43 no.3
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    • pp.399-416
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    • 2009
  • In this study, clustering methods with related tags were discussed for improving search and exploration in the tag space. The experiments were performed on 10 Delicious tags and the strongly-related tags extracted by each 300 documents, and hierarchical and non-hierarchical clustering methods were carried out based on the tag co-occurrences. To evaluate the experimental results, cluster relevance was measured. Results showed that Ward's method with cosine coefficient, which shows good performance to term clustering, was best performed with consistent clustering tendency. Furthermore, it was analyzed that cluster membership among related tags is based on users' tagging purposes or interest and can disambiguate word sense. Therefore, tag clusters would be helpful for improving search and exploration in the tag space.

Hybrid Simulated Annealing for Data Clustering (데이터 클러스터링을 위한 혼합 시뮬레이티드 어닐링)

  • Kim, Sung-Soo;Baek, Jun-Young;Kang, Beom-Soo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.40 no.2
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    • pp.92-98
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    • 2017
  • Data clustering determines a group of patterns using similarity measure in a dataset and is one of the most important and difficult technique in data mining. Clustering can be formally considered as a particular kind of NP-hard grouping problem. K-means algorithm which is popular and efficient, is sensitive for initialization and has the possibility to be stuck in local optimum because of hill climbing clustering method. This method is also not computationally feasible in practice, especially for large datasets and large number of clusters. Therefore, we need a robust and efficient clustering algorithm to find the global optimum (not local optimum) especially when much data is collected from many IoT (Internet of Things) devices in these days. The objective of this paper is to propose new Hybrid Simulated Annealing (HSA) which is combined simulated annealing with K-means for non-hierarchical clustering of big data. Simulated annealing (SA) is useful for diversified search in large search space and K-means is useful for converged search in predetermined search space. Our proposed method can balance the intensification and diversification to find the global optimal solution in big data clustering. The performance of HSA is validated using Iris, Wine, Glass, and Vowel UCI machine learning repository datasets comparing to previous studies by experiment and analysis. Our proposed KSAK (K-means+SA+K-means) and SAK (SA+K-means) are better than KSA(K-means+SA), SA, and K-means in our simulations. Our method has significantly improved accuracy and efficiency to find the global optimal data clustering solution for complex, real time, and costly data mining process.

Skin Color Region Segmentation using classified 3D skin (계층화된 3차원 피부색 모델을 이용한 피부색 분할)

  • Park, Gyeong-Mi;Yoon, Ga-Rim;Kim, Young-Bong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.8
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    • pp.1809-1818
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    • 2010
  • In order to detect the skin color area from input images, many prior researches have divided an image into the pixels having a skin color and the other pixels. In a still image or videos, it is very difficult to exactly extract the skin pixels because lighting condition and makeup generate a various variations of skin color. In this thesis, we propose a method that improves its performance using hierarchical merging of 3D skin color model and context informations for the images having various difficulties. We first make 3D color histogram distributions using skin color pixels from many YCbCr color images and then divide the color space into 3 layers including skin color region(Skin), non-skin color region(Non-skin), skin color candidate region (Skinness). When we segment the skin color region from an image, skin color pixel and non-skin color pixels are determined to skin region and non-skin region respectively. If a pixel is belong to Skinness color region, the pixels are divided into skin region or non-skin region according to the context information of its neighbors. Our proposed method can help to efficiently segment the skin color regions from images having many distorted skin colors and similar skin colors.

A Comparative Analysis of Designs in Low Carbon Environment-Friendly Business Buildings (국내 친환경 업무용 건축물의 디자인에 대한 비교 연구)

  • Kang, Yeon-Joo;Kim, Moon-Duck
    • Korean Institute of Interior Design Journal
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    • v.23 no.3
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    • pp.153-163
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    • 2014
  • The eco-friendly elements are important for new construction and renovation and redevelopment of the buildings. The green buildings are related with minimizing environmental pollution and how to live with nature throughout the entire process of demolishing and building. The purpose of this paper is to study on eco-friendly business buildings in the trend of mandatory green building certification system. The analysis of this paper is comparative studies on practices at eleven domestic eco-friendly business buildings through site survey on design framework of green buildings. The design framework of eleven this buildings is six kinds of skills on technical, renewable, ecological, cultural, healthy, social. The eleven this buildings in the new & renewable energy and IT technology of technical sector are satisfied with the framework. But, domestic most advanced eco-friendly business buildings are placed difference between almost the two times on the lower buildings at comparative evaluation. The three of this buildings are gratified rainwater harvesting and waste recycling systems for renewable and recycle. The buildings have an excellent aspects of technology and ecology. The benefits of this buildings are related with future compulsory zero energy house to take technical advantage of renewable energy. However, the buildings reflecting the regional culture types is insufficient. The buildings should be supplemented as follows. This buildings are need to have the social enhancement programs and design for convenient space of community residents, through health and comfort of on workplace. Moreover, this buildings have features of coexisting with human beings and nature friendly with the aim of realizing the sustainable development. The social enhancement programs through regional cultural aspects with ecology are related with individual and community livings in harmony, non-hierarchical communal lifes. The development of the cultural aspects provide for consensus about the local community and creating sustainable communities. Thus, The buildings are to have energy saving, pleasant and healthy living environment and interactive individual and community livings in harmony.

A Study on Factors Influencing Helicopter Pilot Training Using Factor Analysis (요인분석을 이용한 헬리콥터조종교육 영향요인 연구)

  • Chul, Park
    • Journal of Advanced Navigation Technology
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    • v.27 no.4
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    • pp.323-329
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    • 2023
  • This study aims to examine the factors influencing successful flight training performance in helicopter pilot education. To this end, an exploratory factor analysis was used to extract individual cognitive and non-cognitive characteristics, and a hierarchical regression analysis was conducted to find out how these characteristics (factors) affect flight training performance. As a result, it was found that the higher the spatial perception ability, resilience, and mastery goal-oriented learning attitude, the higher the flight training performance had a positive effect. This reconfirms the importance of spatial awareness, which is particularly required for pilots, and reconfirms that the role of a flight instructor in a limited cockpit space and the right motivation and effort of an individual affect flight training performance. These results are expected to be useful indicators for effective flight training of helicopter pilots in the future.

Accelerating GPU-based Volume Ray-casting Using Brick Vertex (브릭 정점을 이용한 GPU 기반 볼륨 광선투사법 가속화)

  • Chae, Su-Pyeong;Shin, Byeong-Seok
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.3
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    • pp.1-7
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    • 2011
  • Recently, various researches have been proposed to accelerate GPU-based volume ray-casting. However, those researches may cause several problems such as bottleneck of data transmission between CPU and GPU, requirement of additional video memory for hierarchical structure and increase of processing time whenever opacity transfer function changes. In this paper, we propose an efficient GPU-based empty space skipping technique to solve these problems. We store maximum density in a brick of volume dataset on a vertex element. Then we delete vertices regarded as transparent one by opacity transfer function in geometry shader. Remaining vertices are used to generate bounding boxes of non-transparent area that helps the ray to traverse efficiently. Although these vertices are independent on viewing condition they need to be reproduced when opacity transfer function changes. Our technique provides fast generation of opaque vertices for interactive processing since the generation stage of the opaque vertices is running in GPU pipeline. The rendering results of our algorithm are identical to the that of general GPU ray-casting, but the performance can be up to more than 10 times faster.