• 제목/요약/키워드: linear projection

검색결과 239건 처리시간 0.026초

토지이용 공간변화 예측의 통계학적 모형에 관한 연구 (A Study on Statistical Modeling of Spatial Land-use Change Prediction)

  • 김의홍
    • Spatial Information Research
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    • 제5권2호
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    • pp.177-183
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    • 1997
  • 토지이용 분류 체계상에서의 종류라는 개념은 토지이용 변화의 분류 체계성에 그대로 적용시킬 수가 있다. 본 연구에서는 선형 판별 함수를 원용하는 최우법(Maximum likelihood method)으로 산출되는 토지이용분류의 공간적 결과와 Markov 전이 행렬 방법으로 산출되는 정량적 결과가 상호 보완하는 의미에서 합성모형으로 통합되었다. 본 연구에서는 다변수 판별 함수의 계산법과 Markov 연쇄행렬 계산법에 관하여 토의되고 그 합성 모형을 대상 지역에 실제 적용하여 그 결과 '90년, '95년 토지이용도가 예측 작성되었다. 모형화의 문제 및 예측의 정확도 역시 더욱 토의 되어야 하며 추후 개선의 여지를 남긴다.

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Unbounded Scalar Operators on Banach Lattices

  • deLaubenfels, Ralph
    • 호남수학학술지
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    • 제8권1호
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    • pp.1-19
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    • 1986
  • We show that a (possibly unbounded) linear operator, T, is scalar on the real line (spectral operator of scalar type, with real spectrum) if and only if (iT) generates a uniformly bounded semigroup and $(1-iT)(1+iT)^{-1}$ is scalar on the unit circle. T is scalar on [0, $\infty$) if and only if T generates a uniformly bounded semigroup and $(1+T)^{-1}$ is scalar on [0,1). By analogy with these results, we define $C^0$-scalar, on the real line, or [0. $\infty$), for an unbounded operator. We show that a generator of a positive-definite group is $C^0$-scalar on the real line. and a generator of a completely monotone semigroup is $C^0$-scalar on [0, $\infty$). We give sufficient conditions for a closed operator, T, to generate a positive-definite group: the sequence < $\phi(T^{n}x)$ > $_{n=0}^{\infty}$ must equal the moments of a positive measure on the real line, for sufficiently many positive $\phi$ in $X^{*}$, x in X. If the measures are supported on [0, $\infty$), then T generates a completely monotone semigroup. On a reflexive Banach lattice, these conditions are also necessary, and are equivalent to T being scalar, with positive projection-valued measure. T generates a completely monotone semigroup if and only if T is positive and m-dispersive and generates a bounded holomorphic semigroup.

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역전파 알고리즘의 전방향, 역방향 동시 수행을 위한 스스톨릭 배열의 설계 (Design of a systolic array for forward-backward propagation of back-propagation algorithm)

  • 장명숙;유기영
    • 전자공학회논문지B
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    • 제33B권9호
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    • pp.49-61
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    • 1996
  • Back-propagation(BP) algorithm needs a lot of time to train the artificial neural network (ANN) to get high accuracy level in classification tasks. So there have been extensive researches to process back-propagation algorithm on parallel processors. This paper prsents a linear systolic array which calculates forward-backward propagation of BP algorithm at the same time using effective space-time transformation and PE structure. First, we analyze data flow of forwared and backward propagations and then, represent the BP algorithm into data dapendency graph (DG) which shows parallelism inherent in the BP algorithm. Next, apply space-time transformation on the DG of ANN is turn with orthogonal direction projection. By doing so, we can get a snakelike systolic array. Also we calculate the interval of input for parallel processing, calculate the indices to make the right datas be used at the right PE when forward and bvackward propagations are processed in the same PE. And then verify the correctness of output when forward and backward propagations are executed at the same time. By doing so, the proposed system maximizes parallelism of BP algorithm, minimizes th enumber of PEs. And it reduces the execution time by 2 times through making idle PEs participate in forward-backward propagation at the same time.

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Metamodeling of nonlinear structural systems with parametric uncertainty subject to stochastic dynamic excitation

  • Spiridonakos, Minas D.;Chatzia, Eleni N.
    • Earthquakes and Structures
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    • 제8권4호
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    • pp.915-934
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    • 2015
  • Within the context of Structural Health Monitoring (SHM), it is often the case that structural systems are described by uncertainty, both with respect to their parameters and the characteristics of the input loads. For the purposes of system identification, efficient modeling procedures are of the essence for a fast and reliable computation of structural response while taking these uncertainties into account. In this work, a reduced order metamodeling framework is introduced for the challenging case of nonlinear structural systems subjected to earthquake excitation. The introduced metamodeling method is based on Nonlinear AutoRegressive models with eXogenous input (NARX), able to describe nonlinear dynamics, which are moreover characterized by random parameters utilized for the description of the uncertainty propagation. These random parameters, which include characteristics of the input excitation, are expanded onto a suitably defined finite-dimensional Polynomial Chaos (PC) basis and thus the resulting representation is fully described through a small number of deterministic coefficients of projection. The effectiveness of the proposed PC-NARX method is illustrated through its implementation on the metamodeling of a five-storey shear frame model paradigm for response in the region of plasticity, i.e., outside the commonly addressed linear elastic region. The added contribution of the introduced scheme is the ability of the proposed methodology to incorporate uncertainty into the simulation. The results demonstrate the efficiency of the proposed methodology for accurate prediction and simulation of the numerical model dynamics with a vast reduction of the required computational toll.

A Music Recommendation Method Using Emotional States by Contextual Information

  • Kim, Dong-Joo;Lim, Kwon-Mook
    • 한국컴퓨터정보학회논문지
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    • 제20권10호
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    • pp.69-76
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    • 2015
  • User's selection of music is largely influenced by private tastes as well as emotional states, and it is the unconsciousness projection of user's emotion. Therefore, we think user's emotional states to be music itself. In this paper, we try to grasp user's emotional states from music selected by users at a specific context, and we analyze the correlation between its context and user's emotional state. To get emotional states out of music, the proposed method extracts emotional words as the representative of music from lyrics of user-selected music through morphological analysis, and learns weights of linear classifier for each emotional features of extracted words. Regularities learned by classifier are utilized to calculate predictive weights of virtual music using weights of music chosen by other users in context similar to active user's context. Finally, we propose a method to recommend some pieces of music relative to user's contexts and emotional states. Experimental results shows that the proposed method is more accurate than the traditional collaborative filtering method.

경계요소법을 위한 3차원 자동요소분할 (3D Automatic Mesh Generation Scheme for the Boundary Element Method)

  • 이향범;이상훈;김형석;이기식;한송엽
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 하계학술대회 논문집 B
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    • pp.935-937
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    • 1993
  • This paper presents a three dimensional automatic mesh generation scheme for the boundary element method, and this scheme can be applicable to practical problems of complex shape. The geometry of the problem is expressed as an assemblage of linear Coon's surfaces, and each surface is made up of four edge curves which are defined in the form of a parametric function. Curves are automatically segmented according to their characteristics. With these segments of curves, interior points and triangular mesh elements are generated in the parametric plane using Lindholm's method, and then their projection on the real surface forms the initial mesh. The refinement of initial mesh is performed so that the discrete triangular planes are close to the real continuous surfaces. The bisection method is used for the refinement. Finally, interior points in the refined mesh are rearranged so as to make each element be close with an equilateral triangle. An attempt has been made to apply the proposed method to a DY(Deflection Yoke) model.

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Analysis of Extreme Sea Surface Temperature along the Western Coastal area of Chungnam: Current Status and Future Projections

  • Byoung-Jun Lim;You-Soon Chang
    • 한국지구과학회지
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    • 제44권4호
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    • pp.255-263
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    • 2023
  • Western coastal area of Chungnam, including Cheonsu Bay and Garorim Bay, has suffered from hot and cold extremes. In this study, the extreme sea surface temperature on the western coast of Chungnam was analyzed using the quantile regression method, which extracts the linear regression values in all quantiles. The regional MOHID (MOdelo HIDrodinâmico) model, with a high resolution on a 1/60° grid, was constructed to reproduce the extreme sea surface temperature. For future prediction, the SSP5-8.5 scenario data of the CMIP6 model were used to simulate sea surface temperature variability. Results showed that the extreme sea surface temperature of Cheonsu Bay in August 2017 was successfully simulated, and this extreme sea surface temperature had a significant negative correlation with the Pacific decadal variability index. As a result of future climate prediction, it was found that an average of 2.9℃ increased during the simulation period of 86 years in the Chungnam west coast and there was a seasonal difference (3.2℃ in summer, 2.4℃ in winter). These seasonal differences indicate an increase in the annual temperature range, suggesting that extreme events may occur more frequently in the future.

An enhanced incompressible SPH method for simulation of fluid flow interactions with saturated/unsaturated porous media of variable porosity

  • Shimizu, Yuma;Khayyer, Abbas;Gotoh, Hitoshi
    • Ocean Systems Engineering
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    • 제12권1호
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    • pp.63-86
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    • 2022
  • A refined projection-based purely Lagrangian meshfree method is presented towards reliable numerical analysis of fluid flow interactions with saturated/unsaturated porous media of uniform/spatially-varying porosities. The governing equations are reformulated on the basis of two-phase mixture theory with incorporation of volume fraction. These principal equations of mixture are discretized in the context of Incompressible SPH (Smoothed Particle Hydrodynamics) method. Associated with the consideration of governing equations of mixture, a new term arises in the source term of PPE (Poisson Pressure Equation), resulting in modified source term. The linear and nonlinear force terms are included in momentum equation to represent the resistance from porous media. Volume increase of fluid particles are taken into consideration on account of the presence of porous media, and hence multi-resolution ISPH framework is also incorporated. The stability and accuracy of the proposed method are thoroughly examined by reproducing several numerical examples including the interactions between fluid flow and saturated/unsaturated porous media of uniform/spatially-varying porosities. The method shows continuous pressure field, smooth variations of particle volumes and regular distributions of particles at the interface between fluid and porous media.

3D OSEM 재구성 법에서 반복연산(Iteration) 횟수와 부분집합(Subset) 개수 변경에 따른 영상의 질 평가 (The Evaluation of Reconstructed Images in 3D OSEM According to Iteration and Subset Number)

  • 김동석;김성환;심동오;유희재
    • 핵의학기술
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    • 제15권1호
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    • pp.17-24
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    • 2011
  • 현재 핵의학 분야에서는 디지털 컴퓨터의 급속한 발전 및 응용으로 인해 FBP 법의 대용으로 OSEM 알고리즘과 같은 고속 영상 재구성 알고리즘이 널리 이용되고 있다. 그 동안 여러 연구에서 파라미터 변경에 따른 OSEM 재구성 영상 질 변화에 대한 평가가 이루어져 왔으나, 어떠한 파라미터를 적용할 지에 관해서는 명확하게 정해진 것은 없다. 본 연구에서는 3D beam modeling을 적용한 3D OSEM 재구성 법에서 iteration 횟수와 subset 개수 변경에 따른 영상의 질 변화를 팬텀 실험과 환자 데이터을 통해 확인하고자 한다. 환자 데이터는 2010년 8월부터 9월까지 본원 핵의학과에서 Brain SPECT를 시행한 환자 5명을 대상으로 연구 분석하였다. 영상은 물과 $^{99m}Tc$ (500 MBq)을 균등하게 혼합한 Jaszczak 팬텀을 이용하여 Siemens사의 이중 헤드 감마 카메라 Symbia T2에서 획득하였다. 환자 데이터는 영상 재구성 시 환자 데이터와 팬텀 데이터 모두 iteration 횟수는 1, 4, 8, 12, 24, 48회, subset 개수는 2, 4, 8, 16, 32개로 변화를 주며 각각의 영상을 재구성하였다. 재구성된 각각의 영상에서 대조도와 영상의 잡음 정도를 가늠하기 위한 변이계수, FWHM을 산출하여 비교하였다. 팬텀 데이터와 환자 데이터에서 영상의 대조도와 공간해상력은 iteration 횟수와 subset 개수의 증가에 따라 모두 선형적으로 증가하는 경향을 나타냈으나 변이계수는 두 파라미터의 증가에 따라 향상되는 경향을 보이지 않았다. Projection 시간에 따른 비교에서도 Projection 당 10초, 20초, 30초 영상에서 모두 영상 대조도와 FWHM은 iteration 횟수와 subset 개수 증가에 따라 선형적으로 향상되는 결과를 나타냈으나 변이계수는 향상되는 경향을 보이지 않았다. 본 실험을 통해 3D beam modeling을 적용한 3D OSEM 재구성 법 영상에서도 기존의 1D와 2D OSEM 재구성 법과 같이 iteration 횟수와 부분집합 개수 증가에 따라 향상하는 영상 대조도의 선형적 관계를 확인할 수 있었다. 하지만 이는 단순한 팬텀 실험과 일부 환자 데이터 만으로 얻은 결과이고, 실제 임상에서는 보다 구조적으로 복잡한 대상과 다양한 변수들이 존재 가능하기 때문에 본 실험의 데이터만을 바탕으로 이를 일반화하기에는 무리가 있으며 차후 실험들을 통해 3D OSEM 재구성 법에 대한 평가가 추가로 이루어져야 할 것이다.

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PCA와 LDA을 이용한 차량 번호판 통합 인식에 관한 연구 (A Study on Recognition of Both of PCA and LAD Using Types of Vehicle Plate)

  • 이진기;김현열;이승규;이건화;박영록;안기남;배철수;박영철
    • 한국정보전자통신기술학회논문지
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    • 제6권1호
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    • pp.6-17
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    • 2013
  • 최근 들어 기존의 녹색 바탕의 차량 번호판에서, 흰색 바탕의 신 차량 번호판으로 교체되고 있다. 하지만, 아직 기존의 차량 번호판이 신 차량 번호판으로 전면 교체 되지 않아 두 번호판 모두 사용되고 있기 때문에 주차 관리 시스템, 속도위반, 신호 위반 등 무인 카메라를 이용한 시스템에서, 기존 차량 번호판과 신 차량 번호판 특징에 맞는 인식 시스템이 요구된다. 따라서 본 논문에서는 이러한 문제를 해결하기 위해 기존의 녹색 번호판과 흰색 번호판 모두를 추출하고 인식 할 수 있는 알고리즘에 관한 연구를 수행하였다. 다양한 환경에서 획득한 차량 영상으로부터 번호판 영역을 추출하기 위하여 형태학적 특징을 이용하였고, 추출된 번호판 영역의 수평, 수직 히스토그램과 문자의 상대적 위치 정보를 이용하여, 문자를 분리하였다. 최종적으로, 분리된 문자를 인식하기 위해 주성분 분석법(PCA : Principal Component Analysis)과 선형 판별 분석법(LDA : Linear Discriminant Analysis)을 적용하여 인식 시스템을 구성하였다. 실험 결과, 불규칙한 조명 상태에서도 상대적으로 높은 추출률과 문자 인식률을 나타내었다.