• 제목/요약/키워드: Dirichlet form

검색결과 53건 처리시간 0.026초

토픽 모형 및 사회연결망 분석을 이용한 한국데이터정보과학회지 영문초록 분석 (Analysis of English abstracts in Journal of the Korean Data & Information Science Society using topic models and social network analysis)

  • 김규하;박철용
    • Journal of the Korean Data and Information Science Society
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    • 제26권1호
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    • pp.151-159
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    • 2015
  • 이 논문에서는 텍스트마이닝 (text mining) 기법을 이용하여 한국데이터정보과학회지에 게재된 논문의 영어초록을 분석하였다. 먼저 다양한 방법을 통해 단어-문서 행렬 (term-document matrix)을 생성하고 이를 사회연결망 분석 (social network analysis)을 통해 시각화하였다. 또한 토픽을 추출하기 위한 방법으로 LDA (latent Dirichlet allocation)와 CTM (correlated topic model)을 사용하였다. 토픽의 수, 단어-문서 행렬의 생성방법에 따라 엔트로피 (entropy)를 통해 토픽 추출 모형들의 성능을 비교하였다.

바닥판 콘크리트 타설순서에 따른 합성형교량의 거동해석 (Behavior of Composite Steel Bridges According to the Concrete Slab Casting Sequences)

  • 곽효경;서영재;정찬묵;박영하
    • 한국강구조학회 논문집
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    • 제10권2호통권35호
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    • pp.233-251
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    • 1998
  • 이 논문은 바닥판 콘크리트 타설 순서에 따른 합성형 교량의 거동을 예측하는 내용을 다루고 있다. 교량의 시간의존적 거동을 묘사하기 위하여 Dirichlet 급수를 사용한 크리프 함수를 사용하였고 단면해석은 적층단면을 사용하였다. 교량의 거동은 단면의 형태와 타설순서의 변화 효과를 고려하여 바닥판 콘크리트 타설에 따른 교축 방향의 모멘트 변화로써 나타내었으며 이 결과들을 이용하여 현장에서 널리 사용되고 있는 폐단면강 box 거더의 연속 바닥판 타설의 적합성을 보이고 있다.

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A continuous solution of the heat equation based on a fuzzy system

  • Moon, Byung-Soo;Hwang, In-Koo;Kwon, Kee-Choon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권1호
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    • pp.13-17
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    • 2003
  • A continuous solution of the Dirichlet boundary value problem for the heat equation $u_t$$a2u_{xx}$ using a fuzzy system is described. We first apply the Crank-Nicolson method to obtain a discrete solution at the grid points for the heat equation. Then we find a continuous function to represent approximately the discrete values at the grid points in the form of a bicubic spline function (equation omitted) that can in turn be represented exactly by a fuzzy system. We show that the computed values at non-grid points using the bicubic spline function is much smaller than the ones obtained by linear interpolations of the values at the grid points. We also show that the fuzzy rule table in the fuzzy system representation of the bicubic spline function can be viewed as a gray scale image. Hence, the fuzzy rules provide a visual representation of the functions of two variables where the contours of different levels for the function are shown in different gray scale levels

NONEXISTENCE OF H-CONVEX CUSPIDAL STANDARD FUNDAMENTAL DOMAIN

  • Yayenie, Omer
    • 대한수학회보
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    • 제46권5호
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    • pp.823-833
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    • 2009
  • It is well-known that if a convex hyperbolic polygon is constructed as a fundamental domain for a subgroup of the modular group, then its translates by the group elements form a locally finite tessellation and its side-pairing transformations form a system of generators for the group. Such hyperbolically convex polygons can be obtained by using Dirichlet's and Ford's polygon constructions. Another method of obtaining a fundamental domain for subgroups of the modular group is through the use of a right coset decomposition and we call such domains standard fundamental domains. In this paper we give subgroups of the modular group which do not have hyperbolically convex standard fundamental domain containing only inequivalent cusps.

판요소법을 이용한 선수형상 설계에 관한 연구[1] (A Study on the Design of Ship′s Bow Form using Surface Panel Method)

  • 유재훈;김효철
    • 대한조선학회논문집
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    • 제33권3호
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    • pp.35-47
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    • 1996
  • 포텐셜을 기저로 하는 판요소법을 사용하여 자유 표면이 존재하는 유동장에서 일정 속도로 전진하는 3차원 물체의 형상을 설계하였다. 설계 방법으로는 원하는 압력 분포를 경계 조건으로 부여하고 이를 만족하는 물체 형상을 찾아내는 역해석법(inverse method)을 사용하였다. 즉, 주어진 압력으로부터 물체 표면에 분포된 법선 다이폴의 세기인 포텐셜 값을 결정하게 되며, 이는 물체 표면에 대한 Dirichlet형태의 경계 조건으로서 Green의 정리로부터 유도된 적분 방정식을 해석하게 된다. 전체 속도 포텐셜은 기본 유동인 선속에 대한 성분과 선제에 의하여 교란되는 성분으로 구성되어진다고 가정하였으며, 교란 포텐셜을 사용하여 선형화된 자유 표면 경계 조건을 적용하였다. 적분 방정식에 대한 수치 해석을 위해 물체 표면에 법선 다이폴과 Rankine 쏘오스를 분포하였으며, 자유 표면에는 Rankine 쏘오스를 분포하고 4점 유한 차분법을 사용하여 자유 표면 경계 조건이 만족되도록 하였다. 해로서 얻어지는 각 판요소에서의 Rankine 쏘오스의 세기는 가상의 유동 출입량으로서 형상 수정항으로 사용되었다. 몰수 회전 타원체의 형상 설계에 대하여 본 설계법을 적용한 결과 무한 수심에서나 조파 상태에서 $4{\sim}6$회의 반복 계산으로 충분히 수렴된 해를 얻을 수 있었다. 또한 자유 표면을 가르고 전진하는 Wigley 수학적 선형에 대한 형상 설계를 수행하여 만족스러운 결과를 얻어내었으며, 얻어진 수치해는 매우 안정적이고 빠른 수렴성을 보였다. 선형의 우열 비교를 통해 조파 저항을 감소시킬 수 있는 압력 분포의 형태를 파악하였으며, 이를 바탕으로 조파 저항의 관점에서의 5500TEU급 콘테이너 운반선의 설계를 수행하였다. 설계되어진 새로운 선형은 조파 저항의 관점에서 기존의 선형보다 계산과 실험에서 모두 우수하게 개량된 것으로 나타났다.

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한국도로공사 VOC 데이터를 이용한 토픽 모형 적용 방안 (Application of a Topic Model on the Korea Expressway Corporation's VOC Data)

  • 김지원;박상민;박성호;정하림;윤일수
    • 한국IT서비스학회지
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    • 제19권6호
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    • pp.1-13
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    • 2020
  • Recently, 80% of big data consists of unstructured text data. In particular, various types of documents are stored in the form of large-scale unstructured documents through social network services (SNS), blogs, news, etc., and the importance of unstructured data is highlighted. As the possibility of using unstructured data increases, various analysis techniques such as text mining have recently appeared. Therefore, in this study, topic modeling technique was applied to the Korea Highway Corporation's voice of customer (VOC) data that includes customer opinions and complaints. Currently, VOC data is divided into the business areas of Korea Expressway Corporation. However, the classified categories are often not accurate, and the ambiguous ones are classified as "other". Therefore, in order to use VOC data for efficient service improvement and the like, a more systematic and efficient classification method of VOC data is required. To this end, this study proposed two approaches, including method using only the latent dirichlet allocation (LDA), the most representative topic modeling technique, and a new method combining the LDA and the word embedding technique, Word2vec. As a result, it was confirmed that the categories of VOC data are relatively well classified when using the new method. Through these results, it is judged that it will be possible to derive the implications of the Korea Expressway Corporation and utilize it for service improvement.

L2-NORM ERROR ANALYSIS OF THE HP-VERSION WITH NUMERICAL INTEGRATION

  • Kim, Ik-Sung
    • 대한수학회보
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    • 제39권1호
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    • pp.9-22
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    • 2002
  • We consider the hp-version to solve non-constant coefficient elliptic equations with Dirichlet boundary conditions on a bounded, convex polygonal domain $\Omega$ in $R^{2}.$ To compute the integrals in the variational formulation of the discrete problem we need the numerical quadrature rule scheme. In this paler we consider a family $G_{p}= {I_{m}}$ of numerical quadrature rules satisfying certain properties. When the numerical quadrature rules $I_{m}{\in}G_{p}$ are used for calculating the integrals in the stiffness matrix of the variational form we will give its variational fore and derive an error estimate of ${\parallel}u-\tilde{u}^h_p{\parallel}_0,{\Omega}'$.

Adaptive Bayesian Object Tracking with Histograms of Dense Local Image Descriptors

  • Kim, Minyoung
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제16권2호
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    • pp.104-110
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    • 2016
  • Dense local image descriptors like SIFT are fruitful for capturing salient information about image, shown to be successful in various image-related tasks when formed in bag-of-words representation (i.e., histograms). In this paper we consider to utilize these dense local descriptors in the object tracking problem. A notable aspect of our tracker is that instead of adopting a point estimate for the target model, we account for uncertainty in data noise and model incompleteness by maintaining a distribution over plausible candidate models within the Bayesian framework. The target model is also updated adaptively by the principled Bayesian posterior inference, which admits a closed form within our Dirichlet prior modeling. With empirical evaluations on some video datasets, the proposed method is shown to yield more accurate tracking than baseline histogram-based trackers with the same types of features, often being superior to the appearance-based (visual) trackers.

ON SOME UNBOUNDED DOMAINS FOR A MAXIMUM PRINCIPLE

  • CHO, SUNGWON
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제23권1호
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    • pp.13-19
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    • 2016
  • In this paper, we study some characterizations of unbounded domains. Among these, so-called G-domain is introduced by Cabre for the Aleksandrov-Bakelman-Pucci maximum principle of second order linear elliptic operator in a non-divergence form. This domain is generalized to wG-domain by Vitolo for the maximum principle of an unbounded domain, which contains G-domain. We study the properties of these domains and compare some other characterizations. We prove that sA-domain is wG-domain, but using the Cantor set, we are able to construct a example which is wG-domain but not sA-domain.

Properties of integral operators in complex variable boundary integral equation in plane elasticity

  • Chen, Y.Z.;Wang, Z.X.
    • Structural Engineering and Mechanics
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    • 제45권4호
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    • pp.495-519
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    • 2013
  • This paper investigates properties of integral operators in complex variable boundary integral equation in plane elasticity, which is derived from the Somigliana identity in the complex variable form. The generalized Sokhotski-Plemelj's formulae are used to obtain the BIE in complex variable. The properties of some integral operators in the interior problem are studied in detail. The Neumann and Dirichlet problems are analyzed. The prior condition for solution is studied. The solvability of the formulated problems is addressed. Similar analysis is carried out for the exterior problem. It is found that the properties of some integral operators in the exterior boundary value problem (BVP) are quite different from their counterparts in the interior BVP.