• Title/Summary/Keyword: Symbolic Form

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Local linear regression analysis for interval-valued data

  • Jang, Jungteak;Kang, Kee-Hoon
    • Communications for Statistical Applications and Methods
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    • v.27 no.3
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    • pp.365-376
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    • 2020
  • Interval-valued data, a type of symbolic data, is given as an interval in which the observation object is not a single value. It can also occur frequently in the process of aggregating large databases into a form that is easy to manage. Various regression methods for interval-valued data have been proposed relatively recently. In this paper, we introduce a nonparametric regression model using the kernel function and a nonlinear regression model for the interval-valued data. We also propose applying the local linear regression model, one of the nonparametric methods, to the interval-valued data. Simulations based on several distributions of the center point and the range are conducted using each of the methods presented in this paper. Various conditions confirm that the performance of the proposed local linear estimator is better than the others.

Double monothetic clustering for histogram-valued data

  • Kim, Jaejik;Billard, L.
    • Communications for Statistical Applications and Methods
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    • v.25 no.3
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    • pp.263-274
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    • 2018
  • One of the common issues in large dataset analyses is to detect and construct homogeneous groups of objects in those datasets. This is typically done by some form of clustering technique. In this study, we present a divisive hierarchical clustering method for two monothetic characteristics of histogram data. Unlike classical data points, a histogram has internal variation of itself as well as location information. However, to find the optimal bipartition, existing divisive monothetic clustering methods for histogram data consider only location information as a monothetic characteristic and they cannot distinguish histograms with the same location but different internal variations. Thus, a divisive clustering method considering both location and internal variation of histograms is proposed in this study. The method has an advantage in interpreting clustering outcomes by providing binary questions for each split. The proposed clustering method is verified through a simulation study and applied to a large U.S. house property value dataset.

A Study on Image Pattern Recognition using Attributed Relational Graph (Attributed Relational Graph를 이용한 영상 패턴의 인식에 관한 연구)

  • Lee, Kwang-Kee;Jeon, Joong-Nam;Lee, Chang-Han;Lie, Han-Wook;Park, Kyu-Tae
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.687-690
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    • 1988
  • Algorithms that represent given pattern in the form of an ARG (Attributed relational graph) using not only structural relations but also symbolic or numerical attributes, and then recognize that pattern by graph matching process are presented in this paper. Based on definitions of pattern deformational models, algorithms that can find GPECI(Graph preserved error correcting isomorphism). SGECI(subgraph ECI) and DSECI(Double subgraph ECI) are proposed and comparisons among these algorithms are described. To be useful in performig practical tasks, efficient schemes for extraction of ARG representation fron raw image are needed. In this study, given patterns are restricted within objects having distinct skeleton, and then the information which is necessary for recognition and analysis is successfully extracted.

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Exploration of Meaning of Curriculum Reconstruction of Narrative (내러티브가 교육과정 재구성에 주는 의미에 대한 소고)

  • CHOO, Kap-Sik
    • Journal of Fisheries and Marine Sciences Education
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    • v.28 no.6
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    • pp.1673-1682
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    • 2016
  • The paper is the principle of a curriculum, a recent method of teaching-learning in pedagogy, and intended for the exploration of the meaning of which reconstructs curriculum by narrative through practical exploration and narrative being discussed as the form of exploration. To date, Korean education showed an inclination of the traditional paradigm centered thinking and has emphasized the results by the method of scientific investigation. Even a curriculum reconstruction demonstrates documents that produce results without actually demonstrating the actual school setting. With communication one another is becoming increasingly important, we need the conversion of cognitive thinking that can express dilemma, contradictions, and complexities of the human world of which unexplainable by traditional paradigm mindset. Ultimately, the exploration of the direction that reflects a series of verbal, symbolic, and spiritual activities, which analyze lives of students, understanding and composing the meaning by using narrative, which talks about the experience of the human world in curriculums, is an important task for us.

ON THE STUDY OF SOLUTION UNIQUENESS TO THE TASK OF DETERMINING UNKNOWN PARAMETERS OF MATHEMATICAL MODELS

  • Avdeenko, T.V.;Je, Hai-Gon
    • East Asian mathematical journal
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    • v.16 no.2
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    • pp.251-266
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    • 2000
  • The problem of solution uniqueness to the task of determining unknown parameters of mathematical models from input-output observations is studied. This problem is known as structural identifiability problem. We offer a new approach for testing structural identifiability of linear state space models. The approach compares favorably with numerous methods proposed by other authors for two main reasons. First, it is formulated in obvious mathematical form. Secondly, the method does not involve unfeasible symbolic computations and thus allows to test identifiability of large-scale models. In case of non-identifiability, when there is a set of solutions to the task, we offer a method of computing functions of the unknown parameters which can be determined uniquely from input-output observations and later used as new parameters of the model. Such functions are called parametric functions capable of estimation. To develop the method of computation of these functions we use Lie group transformation theory. Illustrative example is given to demonstrate applicability of presented methods.

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Simulator Output Knowledge Analysis Using Neural network Approach : A Broadand Network Desing Example

  • Kim, Gil-Jo;Park, Sung-Joo
    • Proceedings of the Korea Society for Simulation Conference
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    • 1994.10a
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    • pp.12-12
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    • 1994
  • Simulation output knowledge analysis is one of problem-solving and/or knowledge adquistion process by investgating the system behavior under study through simulation . This paper describes an approach to simulation outputknowldege analysis using fuzzy neural network model. A fuzzy neral network model is designed with fuzzy setsand membership functions for variables of simulation model. The relationship between input parameters and output performances of simulation model is captured as system behavior knowlege in a fuzzy neural networkmodel by training examples form simulation exepreiments. Backpropagation learning algorithms is used to encode the knowledge. The knowledge is utilized to solve problem through simulation such as system performance prodiction and goal-directed analysis. For explicit knowledge acquisition, production rules are extracted from the implicit neural network knowledge. These rules may assit in explaining the simulation results and providing knowledge base for an expert system. This approach thus enablesboth symbolic and numeric reasoning to solve problem througth simulation . We applied this approach to the design problem of broadband communication network.

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A study on the Scythian Earrings

  • Kim, Moon-Ja
    • Journal of Fashion Business
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    • v.15 no.6
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    • pp.23-39
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    • 2011
  • Scythian Earrings in the Black Sea region had completely degenerated, stifled by motifs and shapes of Greek origin, retaining its representational realism and its full emotional vitality. The purpose of this study is to review and research the symbolic meaning and classifying the types of the Scythian Earrings style through the tombs bequests. The Scythian Earrings were divided into the styles according to the shape, Earring with Ends Shaped like animal's Heads, Boat-Shaped Earrings, Bird-Shaped Pendants earrings, Earrings with a Disc and a Pendant, Earrings Shaped like the Figures, Earring with the drop Pendant, Spiral Earrings. Earrings based on the boat shape enjoyed a long popularity among the Scythians. As that form became elaborated and combined with the disk-pendent, it reflected native rather than Asian or Hellenic tastes. Although Scythian earrings were produced based on the shapes of Greece earrings, they recreated these as Scythian unique style. In particular, the animal motive and the decoration have various changes. The exquisite earrings attest to the elegant taste and splendid wealth of the upper classes.

A Study on the Representation Techniques of Glass Material in Contemporary Interior Space Design (현대 실내공간디자인에 있어서 유리재료의 표현기법에 관한 연구)

  • Kim, Eun-Jung;Hong, Kwan-Seon
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2007.11a
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    • pp.134-138
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    • 2007
  • Presents age is diversified in all genres by fast development of information and digital, and expression of fixing is not. Architecture and interior space design is showing new paradigm through dematerializing, ex-formal, nonlinear. Glass material is expressing by various technique in space and outer skin to introduction of digital media and a high-tech technology. Expressive characteristics and Techniques of this glass material are showing form of homogenized life in this age, simulated life. Therefore, this study does theoretical investigation through dematerializing of glass material, and analyzes works after 2000. Wish to understand stream of indoor design of present age after analyzes expression special quality and technique of glass material that reflect age and make a study of symbolic expression characteristic.

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Study on the Systematical Features of Small Space Design in Ecology (소규모 공간의 생태학에 근거한 시스템 특성 연구)

  • Cheon, Byoung-Woo
    • Korean Institute of Interior Design Journal
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    • v.21 no.5
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    • pp.77-84
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    • 2012
  • Single formative language created by the standardization of industrial society carries a cell constructive aspect. Such space structural form made gigantic buildings, which has a symbolism as an independent object. Such space shows a morphological symbolism by public preference but it did not establish essential meaning of a shape or concentrated relation. In this regard, this paper tries to show organic similarity of structural formality of small commercial space (patterned space), which was made by the continuity of concentrated patterns not an object of dualistic unit features. Therefore, this study analyzed the cultural, commercial and public space based upon systematical concept and features. Systematical space formality that makes multilateral relation between human, environment and a thing is a concentrated view point by relational features not by the cluster displayed by hierarchical features. Systematical space of small patterned space emphasized its appropriateness of expansion and creating diversified spaces unlike gigantic symbolic buildings.

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A Historical Background of Mathematical Logic and $G{\ddot{o}}del$ (수리논리학의 역사적 배경과 괴델)

  • Park, Chang-Kyun
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.17-28
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    • 2008
  • This Paper introduces a historical background of mathematical logic. Logic and mathematics were not developed dependently until the mid of the nineteenth century, when two streams of logic and mathematics came to form a river so that brought forth synergy effects. Since the mid-nineteenth century mathematization of logic were proceeded while attempts to reduce mathematics to logic were made. Against this background $G{\ddot{o}}del's$ proof shows the limitation of formalism by proving that there are true arithmetical propositions that are not provable.

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