• Title/Summary/Keyword: strong approximation

Search Result 125, Processing Time 0.022 seconds

Minimum Density Power Divergence Estimation for Normal-Exponential Distribution (정규-지수분포에 대한 최소밀도함수승간격 추정법)

  • Pak, Ro Jin
    • The Korean Journal of Applied Statistics
    • /
    • v.27 no.3
    • /
    • pp.397-406
    • /
    • 2014
  • The minimum density power divergence estimation has been a popular topic in the field of robust estimation for since Basu et al. (1988). The minimum density power divergence estimator has strong robustness properties with the little loss in asymptotic efficiency relative to the maximum likelihood estimator under model conditions. However, a limitation in applying this estimation method is the algebraic difficulty on an integral involved in an estimation function. This paper considers a minimum density power divergence estimation method with approximated divergence avoiding such difficulty. As an example, we consider the normal-exponential convolution model introduced by Bolstad (2004). The estimated divergence in this case is too complicated; consequently, a Laplace approximation is employed to obtain a manageable form. Simulations and an empirical study show that the minimum density power divergence estimators based on an approximated estimated divergence for the normal-exponential model perform adequately in terms of bias and efficiency.

Multi-material topology optimization for crack problems based on eXtended isogeometric analysis

  • Banh, Thanh T.;Lee, Jaehong;Kang, Joowon;Lee, Dongkyu
    • Steel and Composite Structures
    • /
    • v.37 no.6
    • /
    • pp.663-678
    • /
    • 2020
  • This paper proposes a novel topology optimization method generating multiple materials for external linear plane crack structures based on the combination of IsoGeometric Analysis (IGA) and eXtended Finite Element Method (X-FEM). A so-called eXtended IsoGeometric Analysis (X-IGA) is derived for a mechanical description of a strong discontinuity state's continuous boundaries through the inherited special properties of X-FEM. In X-IGA, control points and patches play the same role with nodes and sub-domains in the finite element method. While being similar to X-FEM, enrichment functions are added to finite element approximation without any mesh generation. The geometry of structures based on basic functions of Non-Uniform Rational B-Splines (NURBS) provides accurate and reliable results. Moreover, the basis function to define the geometry becomes a systematic p-refinement to control the field approximation order without altering the geometry or its parameterization. The accuracy of analytical solutions of X-IGA for the crack problem, which is superior to a conventional X-FEM, guarantees the reliability of the optimal multi-material retrofitting against external cracks through using topology optimization. Topology optimization is applied to the minimal compliance design of two-dimensional plane linear cracked structures retrofitted by multiple distinct materials to prevent the propagation of the present crack pattern. The alternating active-phase algorithm with optimality criteria-based algorithms is employed to update design variables of element densities. Numerical results under different lengths, positions, and angles of given cracks verify the proposed method's efficiency and feasibility in using X-IGA compared to a conventional X-FEM.

Intrinsic Enrichment of Moving Least Squares Finite Difference Method for Solving Elastic Crack Problems (탄성균열 해석을 위한 이동최소제곱 유한차분법의 내적확장)

  • Yoon, Young-Cheol;Lee, Sang-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.29 no.5A
    • /
    • pp.457-465
    • /
    • 2009
  • This study presents a moving least squares (MLS) finite difference method for solving elastic crack problems with stress singularity at the crack tip. Near-tip functions are intrinsically employed in the MLS approximation to model near-tip field inducing singularity in stress field. employment of the functions does not lose the merit of the MLS Taylor polynomial approximation which approximates the derivatives of a function without actual differentiating process. In the formulation of crack problem, computational efficiency is considerably improved by taking the strong formulation instead of weak formulation involving time consuming numerical quadrature Difference equations are constructed on the nodes distributed in computational domain. Numerical experiments for crack problems show that the intrinsically enriched MLS finite difference method can sharply capture the singular behavior of near-tip stress and accurately evaluate stress intensity factors.

Family of Cascade-correlation Learning Algorithm (캐스케이드-상관 학습 알고리즘의 패밀리)

  • Choi Myeong-Bok;Lee Sang-Un
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.15 no.1
    • /
    • pp.87-91
    • /
    • 2005
  • The cascade-correlation (CC) learning algorithm of Fahlman and Lebiere is one of the most influential constructive algorithm in a neural network. Cascading the hidden neurons results in a network that can represent very strong nonlinearities. Although this power is in principle useful, it can be a disadvantage if such strong nonlinearity is not required to solve the problem. 3 models are presented and compared empirically. All of them are based on valiants of the cascade architecture and output neurons weights training of the CC algorithm. Empirical results indicate the followings: (1) In the pattern classification, the model that train only new hidden neuron to output layer connection weights shows the best predictive ability; (2) In the function approximation, the model that removed input-output connection and used sigmoid-linear activation function is better predictability than CasCor algorithm.

Touch Recognition based on SIFT Algorithm (SIFT 알고리즘 기반 터치인식)

  • Jung, Sung Hoon
    • Journal of the Korea Society of Computer and Information
    • /
    • v.18 no.11
    • /
    • pp.69-75
    • /
    • 2013
  • This paper introduces a touch recognition method for touch screen systems based on the SIFT(Scale Invariant Feature Transform) algorithm for stable touch recognition under strong noises. This method provides strong robustness against the noises and makes it possible to effectively extract the various size of touches due to the SIFT algorithm. In order to verify our algorithm we simulate it on the Matlab with the channel data obtained from a real touch screen. It was found from the simulations that our method could stably recognize the touches without regard to the size and direction of the touches. But, our algorithm implemented on a real touch screen system does not support the realtime feature because the DoG(Difference of Gaussian) of the SIFT algorithm needs too many computations. We solved the problem using the DoM(Difference of Mean) which is a fast approximation method of DoG.

A Study on the Development of Family Welfare Program for Strengthening Family Life - Special Reference to Family Life Education - (建全家庭 育成을 위한 家族福祉 프로그램 開發에 관한 硏究 - 家族生活 敎育을 中心으로 -)

  • Yoo, Young-Ju
    • Journal of Families and Better Life
    • /
    • v.9 no.1 s.17
    • /
    • pp.45-63
    • /
    • 1991
  • The purpose of this study was to develop Family Welfare Program for strengthening Family Life, especially focused on the Family Life Education. In order to perform the above research purpose, this study was organized three sections. First, conceptualizing strong family second, measurement the degree of strong family third, is about the Family Life Education. I defined that the concept of strong family is functional family that is family members(husbands & wives)perform successfully internal family functions. I measured the strong family by means of family function performance scale which is composed by 54 questionnaires. Through the survey study with the family function performance scale. I recognized the necessity of Family Life Education for strengthening family function. Family Life Education(FLE)is an educational specialty which was originated in reaction to changing social conditions, industrialization, and urbanization. It deals with the perceive inadequacies of families to cope with these changes, thereby reducing social problems involved with, and improving family life. With and assumption that the studies about FLE have not been so active in Korea, the present thesis examines the FLE in Korea : i.e., the defintion, the objectives, the scope, the approximation of family life education, and the necessity of marital education in Korea based upon the published theories of FLE in the United States of America. Also, it attemps to formulate tentative plan for the promotion of a FLE program in Korea. The concept of FLE in Korea was mainfested itn the social educational law and lifespan institutional, governmental attention. It is defined as "the family life education to enhance the quality of human life, to solve family problems, to develop and individual's potentiality, and to strengthen the family interaction." Of the FLE program, the marital education is considered one of the crucial subjects because it is the core of the family life. With this premise, FLE tries to support the healthy marital relations, subsequently helping to explore the family potentiality and to strengthen family ties. Considering the seemingly dual characteristics of the contents of marital educations, and effective expressions of mutual affection. In addition, reciprocal understanding and cooperation of the married couples to overcome the differences of value, personality, hobby, and religion, the educational methods in child rearing kids, and the effective management of home economics should be included. The objects of the FLE program are unmarried, pre-married, and married persons. For the married persons, the FLE program should be arranged in accordance with their marital status classified by the family life cycle so that they amy prevent possible family problems t each stages of the family life. Also, to prevent the problems incurred in the course of carrying out family functions, the FLE program should be provided with on the basis of a family unit, there by improving the quality of the family functions.

  • PDF

Numerical Model for Thermal Hydraulic Analysis in Cable-in-Conduit-Conductors

  • Wang, Qiuliang;Kim, Kee-Man;Yoon, Cheon-Seog
    • Journal of Mechanical Science and Technology
    • /
    • v.14 no.9
    • /
    • pp.985-996
    • /
    • 2000
  • The issue of quench is related to safety operation of large-scale superconducting magnet system fabricated by cable-in-conduit conductor. A numerical method is presented to simulate the thermal hydraulic quench characteristics in the superconducting Tokamak magnet system, One-dimensional fluid dynamic equations for supercritical helium and the equation of heat conduction for the conduit are used to describe the thermal hydraulic characteristics in the cable-in-conduit conductor. The high heat transfer approximation between supercritical helium and superconducting strands is taken into account due to strong heating induced flow of supercritical helium. The fully implicit time integration of upwind scheme for finite volume method is utilized to discretize the equations on the staggered mesh. The scheme of a new adaptive mesh is proposed for the moving boundary problem and the time term is discretized by the-implicit scheme. It remarkably reduces the CPU time by local linearization of coefficient and the compressible storage of the large sparse matrix of discretized equations. The discretized equations are solved by the IMSL. The numerical implement is discussed in detail. The validation of this method is demonstrated by comparison of the numerical results with those of the SARUMAN and the QUENCHER and experimental measurements.

  • PDF

STRONG CONVERGENCE OF COMPOSITE ITERATIVE METHODS FOR NONEXPANSIVE MAPPINGS

  • Jung, Jong-Soo
    • Journal of the Korean Mathematical Society
    • /
    • v.46 no.6
    • /
    • pp.1151-1164
    • /
    • 2009
  • Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C $\rightarrow$C a contractive mapping (or a weakly contractive mapping), and T : C $\rightarrow$ C a nonexpansive mapping with the fixed point set F(T) ${\neq}{\emptyset}$. Let {$x_n$} be generated by a new composite iterative scheme: $y_n={\lambda}_nf(x_n)+(1-{\lambda}_n)Tx_n$, $x_{n+1}=(1-{\beta}_n)y_n+{\beta}_nTy_n$, ($n{\geq}0$). It is proved that {$x_n$} converges strongly to a point in F(T), which is a solution of certain variational inequality provided the sequence {$\lambda_n$} $\subset$ (0, 1) satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n$ = 0 and $\sum_{n=0}^{\infty}{\lambda}_n={\infty}$, {$\beta_n$} $\subset$ [0, a) for some 0 < a < 1 and the sequence {$x_n$} is asymptotically regular.

Non-linear rheology of tension structural element under single and variable loading history Part II: Creep of steel rope - examples and parametrical study

  • Kmet, S.;Holickova, L.
    • Structural Engineering and Mechanics
    • /
    • v.18 no.5
    • /
    • pp.591-607
    • /
    • 2004
  • The substance of the use of the derived non-linear creep constitutive equations under variable stress levels (see first part of the paper, Kmet 2004) is explained and the strategy of their application is outlined using the results of one-step creep tests of the steel spiral strand rope as an example. In order to investigate the creep strain increments of cables an experimental set-up was originally designed and a series of tests were carried out. Attention is turned to the individual main steps in the production and application procedure, i.e., to the one-step creep tests, definition of loading history, determination of the kernel functions, selection and definition of constitutive equation and to the comparison of the resulting values considering the product and the additive forms of the approximation of the kernel functions. To this purpose, the parametrical study is performed and the results are presented. The constitutive equations of non-linear creep of cable under variable stress history offer a strong tool for the real simulation of stochastic variable load history and prediction of realistic time-dependent response (current deflection and stress configuration) of structures with cable elements. By means of suitable stress combination and its gradual repeating various loads and times effects can be modelled.

A Study on The Cutting Pattern Generation of Membrane Structures and The Loss-Ratio of Material (막 구조물의 재단도 작성과 막재의 손실률에 관한 연구)

  • Shon, Su-Deok;Jeong, Eul-Seok;Kim, Seung-Deog
    • Journal of Korean Association for Spatial Structures
    • /
    • v.6 no.1 s.19
    • /
    • pp.117-127
    • /
    • 2006
  • Membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The design procedure of membrane structures are needed to do shape finding, stress-deformation analysis and cutting pattern generation, because the material property has strong axial stiffness, but little bending stiffness. The problem of cooing pattern is highly varied in their size, curvature and material stiffness. So, the approximation inherent in cutting pattern generation methods is quite different. Therefore the ordinary computer software of structural analysis & design is not suitable for membrane structures. In this study, we develop the program for cooing pattern generation using geodesic line, and investigate the result of example's cooing pattern in detail.

  • PDF