• Title/Summary/Keyword: semi-convergence

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A Study on the Design for Pattern Generator Circuit (Pattern generator 회로 설계에 관한 연구)

  • 노영동;김준식
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.262-267
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    • 2003
  • At process of production according to development of accumulation degree of semi-conductor element, because functional mistake examination time required increases, is becoming big obstacle factor in cost-cutting. Studied pattern generator that generate pattern and address that is bundle enemy to process these controversial point effectively.

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The Semi-Analytic Structural Sensitivity Using Pade Approximation (Pade근사를 이용한 준해석 구조 민감도의 해석)

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2631-2635
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    • 2002
  • The semi-analytic sensitivity analysis using Pade approximation is presented for linear elastic structures. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of promising remedies is the use of geometric series for the matrix inversion. Though series expansion of order three has been successfully applied to the calculation of the structural sensitivity in the most range of the design perturbation, it is prone to have a slow convergence for large perturbation. To overcome this shortage, Pade approximation is introduced so that it can broaden the trust region of the perturbation without adding expansion terms. Numerical results show that the confident sensitivity can be obtained with tiny expenses of computation effort.

A SEMI-LAGRANGIAN METHOD BASED ON WENO INTERPOLATION

  • Yi, Dokkyun;Kim, Hyunsook
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.4
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    • pp.623-633
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    • 2015
  • In this paper, a general Weighted Essentially Non-Oscillatory (WENO) interpolation is proposed and applied to a semi-Lagrangian method. The proposed method is based on the conservation law, and characteristic curves are used to complete the semi-Lagrangian method. Therefore, the proposed method satisfies conservation of mass and is free of the CFL condition which is a necessary condition for convergence. Using a several standard examples, the proposed method is compared with the third order Strong Stability Preserving (SSP) Runge-Kutta method to verify the high-order accuracy.

ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY $H{\ddot{O}}LDERIAN$ OPERATORS

  • Argyros, Ioannis K.
    • The Pure and Applied Mathematics
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    • v.15 no.2
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    • pp.111-120
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    • 2008
  • A semi local convergence analysis is provided for Newton's method in a Banach space setting. The operators involved are only locally Holderian. We make use of a point-based approximation and center-Holderian hypotheses. This approach can be used to approximate solutions of equations involving nonsmooth operators.

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LARGE TIME-STEPPING METHOD BASED ON THE FINITE ELEMENT DISCRETIZATION FOR THE CAHN-HILLIARD EQUATION

  • Yang, Yanfang;Feng, Xinlong;He, Yinnian
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1129-1141
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    • 2011
  • In this paper, a class of large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation with the Neumann boundary conditions is developed. The equation is discretized by finite element method in space and semi-implicit schemes in time. For the first order fully discrete scheme, convergence property is investigated by using finite element analysis. Numerical experiment is presented, which demonstrates the effectiveness of the large time-stepping approaches.

ITERATING A SYSTEM OF SET-VALUED VARIATIONAL INCLUSION PROBLEMS IN SEMI-INNER PRODUCT SPACES

  • Shafi, Sumeera
    • The Pure and Applied Mathematics
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    • v.29 no.4
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    • pp.255-275
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    • 2022
  • In this paper, we introduce a new system of set-valued variational inclusion problems in semi-inner product spaces. We use resolvent operator technique to propose an iterative algorithm for computing the approximate solution of the system of set-valued variational inclusion problems. The results presented in this paper generalize, improve and unify many previously known results in the literature.

Motion Prediction with Flame Advection from Video (영상에서 화염의 이류를 이용한 움직임 예측)

  • Subin Yu;Jong-Hyun Kim
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2023.07a
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    • pp.581-583
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    • 2023
  • 기존의 불 영역 검출을 위한 이미지 전처리 기법은 임계값에 영향을 많이 받기 때문에 사진의 색상 분포에 의존하는 결과가 나온다. 이를 보완하고자 본 논문에서는 화염이 가지고 있는 특유의 비선형적이고 불규칙한 움직임을 추출할 수 있는 방법을 제안한다. 유체 시뮬레이션에서 활용되는 준 라그랑지안(Semi-Lagrangian) 활용하여 유동을 분석하고 이를 기반으로 영상에서 화염의 움직임을 추출한다.

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ON THE STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Chang, Shih-Sen;Zhao, Liang Cai;Wu, Ding Ping
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.13-23
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    • 2009
  • Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

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Autoencoder and Semi-Supervised GAN-based candidate identity verification system in qualifying examination (자격시험에서 오토인코더 및 Semi-Supervised GAN 기반의 응시자 본인 확인 시스템 제안)

  • Lim, Se-Jin;Kim, Hyun-Ji;Kang, Yea-Jun;Kim, Won-Woong;Song, Gyeong-Ju;Yang, Yu-Jin;Oh, Yu-Jin;Jang, Kyung-Bae;Seo, Hwa-Jeong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2021.11a
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    • pp.659-662
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    • 2021
  • 국내에서는 매년 많은 수의 자격시험이 치러지고 있다. 현재 대부분의 시험장에서 응시자 본인 확인 절차는 감독관이 응시자의 얼굴과 신분증 사진을 비교하는 방식으로 이루어진다. 하지만 이 방식은 사람에 따라 오차가 클 수 있으며, 사진과 눈에 띄는 차이가 없으면 동일인물로 판단하기 쉽다. 최근까지도 대리응시 이슈가 발생하고 있어 근절을 위한 보다 강력한 조치가 필요하다. 본 논문에서는 지문과 오토인코더, SGAN을 이용하여 대리응시방지를 강화할 수 있는 본인 확인 시스템을 제안한다. 이때 응시자의 지문정보가 그대로 인증 서버에 저장되면 응시자의 생체정보가 노출될 수 있다는 문제점이 존재한다. 따라서 오토인코더를 통해 지문의 특징점만 추출하여 인증용 이미지를 생성하고 이 이미지를 서버에 저장하여 학습시키도록 한다. 적은 학습데이터 환경에서 분류기로써 좋은 성능을 갖는 SGAN을 통해 인증 이미지와 응시자가 동일인물인지 확인할 수 있다. 서버가 공격을 받더라도 응시자의 지문데이터가 그대로 노출되지 않게 되어 보안 취약점을 극복할 수 있다.