• 한국공간구조학회논문집
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• 제4권2호
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• pp.73-80
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• 2004

본 논문에서는 비선형 파라메트릭 사영필터를 이용한 2차원 트러스 구조물의 손상 검출에 대한 연구를 제시한다. 역문제의 해석은 최근 많은 관심을 끌고 있으며, 역문제 해석법으로서 필터이론을 사용한 접근법이 많은 관심을 받고 있다. 특히 칼만 필터는 신호 통신, 시스템 제어 등의 많은 분야에서 적용되어 왔으며 그 유효성이 입증되었다. 본 논문에서는 비선형 파라메트릭 사영필터를 2차원 트러스 구조물의 손상추정에 적용하고 손상된 구조물의 고유 진동수과 고유 모드를 관측 데이터로 채택하여 손상부재의 위치와 손상정도를 추정한다. 마지막으로 수치해석 예를 통하여 제안된 해석법의 유효성을 밝힌다.

• 한국전자파학회논문지
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• 제17권2호
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• pp.158-164
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• 2006

본 논문에서는 시간 영역 유한차분법(FDTD: Finite-Difference Time-Domain Method)과 설계 민감도법(design sensitivity analysis)을 이용하여 미지의 유전체 산란체(dielectric scatterer) 복원을 위한 역산란 문제(inverse scattering)의 새로운 해석 기법을 제안하였다. 본 연구에서는 빠른 수렴을 위하여 목적 함수의 도함수를 이용한 설계 민감도법을 도입하였고, 시간 영역 유한차분법으로부터 직접 설계 민감도 수식을 도출하였다. 해석의 효율성을 위하여 보조 변수법(adjoint variable method)을 도입하여 보조 변수 방정식을 도출하고 최적화 알고리듬으로 최대 경사도법을 이용하여 반복적인 추정을 통하여 미지의 유전체를 복원하였다. 본 연구의 타당성의 보이기 위하여 2차원 $TM^z$에서의 유전체 복원 사례를 제시한다.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2001년도 봄 학술발표논문집 Vol.28 No.1 (B)
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• pp.529-531
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• 2001

We present an expectation-maximization algorithm for principal component analysis via orthogonalization. The algorithm finds actual principal components, whereas previously proposed EM algorithms can only find principal subspace. New algorithm is simple and more efficient thant probabilistic PCA specially in noiseless cases. Conventional PCA needs computation of inverse of the covariance matrices, which makes the algorithm prohibitively expensive when the dimensions of data space is large. This EM algorithm is very powerful for high dimensional data when only a few principal components are needed.

• Communications for Statistical Applications and Methods
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• 제14권1호
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• pp.215-227
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• 2007

Variable selection algorithm for Sliced Inverse Regression using penalty function is proposed. We noted SIR models can be expressed as generalized eigenvalue decompositions and incorporated penalty functions on them. We found from small simulation that the HARD penalty function seems to be the best in preserving original directions compared with other well-known penalty functions. Also it turned out to be effective in forcing coefficient estimates zero for irrelevant predictors in regression analysis. Results from illustrative examples of simulated and real data sets will be provided.

• 대한수학회논문집
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• 제28권2호
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• pp.407-418
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• 2013

This paper studies a computational iterative method to find accurate approximations for the inverse of real or complex matrices. The analysis of convergence reveals that the method reaches seventh-order convergence. Numerical results including the comparison with different existing methods in the literature will also be considered to manifest its superiority in different types of problems.

• Nonlinear Functional Analysis and Applications
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• 제27권4호
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• pp.813-837
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• 2022

In this paper we consider inverse problem for a general class of nonlinear stochastic differential equations on Hilbert spaces whose generating operators (drift, diffusion and jump kernels) are unknown. We introduce a class of function spaces and put a suitable topology on such spaces and prove existence of optimal generating operators from these spaces. We present also necessary conditions of optimality including an algorithm and its convergence whereby one can construct the optimal generators (drift, diffusion and jump kernel).

• 소성∙가공
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• 제12권4호
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• pp.370-375
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• 2003

Determination of the interface heat transfer coefficient was investigated in non-isothermal bulk forming of glass-coated Ti-6Al-4V. FE analysis and experiments were conducted. Equipment consisting of AISI Hl3 die was instrumented with thermocouples located at sub-surface of the bottom die. Die temperature changes were investigated in related to the process variables such as reduction, lubricant and initial die temperature. The calibration approach based on heat conduction and FE analysis using an inverse algorithm were used to evaluate the interface heat transfer between graphite-lubricated die and glass-coated workpiece. The coefficients determined were affected mainly by the contact pressure. The validation of the coefficients was made by the comparison between experimental data and FE analysis results.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2005년도 춘계학술대회 논문집
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• pp.1299-1302
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• 2005

Current mechanical devices are trending toward being a small size, high speedy, automation. For performing these functions, machinery elements organizing a machine should be designed exactly. Cams have high confidence and economics in ablility to transmit a motion. Accordingly, A cam mechanism is very important for processing the machine automatically. This paper introduce an inverse cam mechanism. A square shaped cam which cannot be commonly analyzed is designed and manufactured by using the NURBS interpolation algorithm. The objective of this paper is to develop a computer-aided design program. In this paper, a displacement curve of oscillating motion inverse cam mechanism with square shaped follower is analyzed. The data is redistibuted by the NURBS algorithm. A cam shape is designed by the instant velocity center method, and simulated to verify the validity of the operation state.

• KIEE International Transaction on Systems and Control
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• 제2D권2호
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• pp.53-58
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• 2002

In this paper, various aspects in magnetoencephalography (MEG) source localization are studied. To minimize the errors in experimental data, an approximation technique using a polynomial function is proposed. The simulation shows that the proposed technique yields more accurate results. To improve the convergence characteristics in the optimization algorithm, a hybrid algorithm of evolution strategy and sensitivity analysis is applied to the neuromagnetic inverse problem. The effectiveness of the hybrid algorithm is verified by comparison with conventional algorithms. In addition, an artificial neural network (ANN) is applied to find an initial source location quickly and accurately. The simulation indicates that the proposed technique yields more accurate results effectively.

• 대한수학회지
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• 제57권5호
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• pp.1079-1101
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• 2020

This work is concerned with a geometric inverse problem in fluid mechanics. The aim is to reconstruct an unknown obstacle immersed in a Newtonian and incompressible fluid flow from internal data. We assume that the fluid motion is governed by the Stokes-Brinkmann equations in the two dimensional case. We propose a simple and efficient reconstruction method based on the topological sensitivity concept. The geometric inverse problem is reformulated as a topology optimization one minimizing a least-square functional. The existence and stability of the optimization problem solution are discussed. A topological sensitivity analysis is derived with the help of a straightforward approach based on a penalization technique without using the classical truncation method. The theoretical results are exploited for building a non-iterative reconstruction algorithm. The unknown obstacle is reconstructed using a levelset curve of the topological gradient. The accuracy and the robustness of the proposed method are justified by some numerical examples.