• Title/Summary/Keyword: Mixed Methods

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An Effective Denoising Method for Images Contaminated with Mixed Noise Based on Adaptive Median Filtering and Wavelet Threshold Denoising

  • Lin, Lin
    • Journal of Information Processing Systems
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    • v.14 no.2
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    • pp.539-551
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    • 2018
  • Images are unavoidably contaminated with different types of noise during the processes of image acquisition and transmission. The main forms of noise are impulse noise (is also called salt and pepper noise) and Gaussian noise. In this paper, an effective method of removing mixed noise from images is proposed. In general, different types of denoising methods are designed for different types of noise; for example, the median filter displays good performance in removing impulse noise, and the wavelet denoising algorithm displays good performance in removing Gaussian noise. However, images are affected by more than one type of noise in many cases. To reduce both impulse noise and Gaussian noise, this paper proposes a denoising method that combines adaptive median filtering (AMF) based on impulse noise detection with the wavelet threshold denoising method based on a Gaussian mixture model (GMM). The simulation results show that the proposed method achieves much better denoising performance than the median filter or the wavelet denoising method for images contaminated with mixed noise.

Statistical Method for Implementing the Experimenter Effect in the Analysis of Gene Expression Data

  • Kim, In-Young;Rha, Sun-Young;Kim, Byung-Soo
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.701-718
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    • 2006
  • In cancer microarray experiments, the experimenter or patient which is nested in each experimenter often shows quite heterogeneous error variability, which should be estimated for identifying a source of variation. Our study describes a Bayesian method which utilizes clinical information for identifying a set of DE genes for the class of subtypes as well as assesses and examines the experimenter effect and patient effect which is nested in each experimenter as a source of variation. We propose a Bayesian multilevel mixed effect model based on analysis of covariance (ANACOVA). The Bayesian multilevel mixed effect model is a combination of the multilevel mixed effect model and the Bayesian hierarchical model, which provides a flexible way of defining a suitable correlation structure among genes.

Cluster Analysis with Balancing Weight on Mixed-type Data

  • Chae, Seong-San;Kim, Jong-Min;Yang, Wan-Youn
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.719-732
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    • 2006
  • A set of clustering algorithms with proper weight on the formulation of distance which extend to mixed numeric and multiple binary values is presented. A simple matching and Jaccard coefficients are used to measure similarity between objects for multiple binary attributes. Similarities are converted to dissimilarities between i th and j th objects. The performance of clustering algorithms with balancing weight on different similarity measures is demonstrated. Our experiments show that clustering algorithms with application of proper weight give competitive recovery level when a set of data with mixed numeric and multiple binary attributes is clustered.

The Improvement of Mixed Extracts of Fructus Aurantii and Mulberry Leaves on Lipid Metabolism (지각과 상엽 혼합추출물이 지질 개선에 미치는 영향)

  • Park, Seong-Woo;Shin, Yong-Cheol;Ko, Seong-Gyu
    • Journal of Society of Preventive Korean Medicine
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    • v.12 no.1
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    • pp.135-147
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    • 2008
  • Background : Diabetes is a chronic disease characterized by deficiency of insulin. It has been reported that Fructus aurantii and mulberry leaves have the effect of anti-diabetes. Methods : To investigate the improvement of mixed extracts of Fructus aurantii and mulberry leaves on lipid metabolism, we performed double-blinded, randomized and placebo-controlled multi-center clinical trial. Results : Mixed extracts of Fructus aurantii and mulberry leaves significantly reduced total cholesterol. Conclusion : These results suggest that mixed extracts of Fructus aurantii and mulberry leaves improve lipid metabolism.

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OPTIMAL L2-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.545-565
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    • 2014
  • In this paper we derive a priori $L^{\infty}(L^2)$ error estimates for expanded mixed finite element formulations of semilinear Sobolev equations. This formulation expands the standard mixed formulation in the sense that three variables, the scalar unknown, the gradient and the flux are explicitly treated. Based on this method we construct finite element semidiscrete approximations and fully discrete approximations of the semilinear Sobolev equations. We prove the existence of semidiscrete approximations of u, $-{\nabla}u$ and $-{\nabla}u-{\nabla}u_t$ and obtain the optimal order error estimates in the $L^{\infty}(L^2)$ norm. And also we construct the fully discrete approximations and analyze the optimal convergence of the approximations in ${\ell}^{\infty}(L^2)$ norm. Finally we also provide the computational results.

A Study for Recent Development of Generalized Linear Mixed Model (일반화된 선형 혼합 모형(GENERALIZED LINEAR MIXED MODEL: GLMM)에 관한 최근의 연구 동향)

  • 이준영
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.541-562
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    • 2000
  • The generalized linear mixed model framework is for handling count-type categorical data as well as for clustered or overdispersed non-Gaussian data, or for non-linear model data. In this study, we review its general formulation and estimation methods, based on quasi-likelihood and Monte-Carlo techniques. The current research areas and topics for further development are also mentioned.

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A Study on the status of unit water content control of the Ready-Mixed Concrete plants in the country (국내 레미콘 플랜트의 단위수량관리 현황 검토에 관한 연구)

  • Jung, Yang-Hee;Kim, Yong-Ro;Choi, Il-Ho;Lee, Do-Bum;Hong, Kyung-Seon
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05a
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    • pp.606-609
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    • 2006
  • In this study, it was selected that in order to make an investigation into the status of the unit water content control of the ready-mixed concrete plants in the country, Capacitance Measurement Method out of various methods which are able to gauge the amount of unit water content in fresh concrete. Then, it were estimated that the quantity of unit water in fresh concrete and the technical standard of every mixture design of the six ready-mixed concrete plants chosen at random in the country. Finally, based on this study, it was proposed as fundamental data to utilize measurement techniques of the quantity of unit water for the quality control of the ready-mixed concrete in construction field.

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A Simple Mixed-Based Approach for Thin-Walled Composite Blades with Two-Cell Sections

  • Jung Sung Nam;Park Il-Ju
    • Journal of Mechanical Science and Technology
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    • v.19 no.11
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    • pp.2016-2024
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    • 2005
  • In this work, a mixed beam approach that combines both the stiffness and the flexibility methods has been performed to analyze the coupled composite blades with closed, two-cell cross-sections. The Reissner's semi-complementary energy functional is used to derive the beam force-displacement relations. Only the membrane part of the shell wall is taken into account to make the analysis simple and also to deliver a clear picture of the mixed method. All the cross section stiffness coefficients as well as the distribution of shear across the section are evaluated in a closed-form through the beam formulation. The theory is validated against experimental test data, detailed finite element analysis results, and other analytical results for coupled composite blades with a two-cell airfoil section. Despite the simple kinematic model adopted in the theory, an accuracy comparable to that of two-dimensional finite element analysis has been obtained for cases considered in this study.

A Design of the Mixed $H_2 / H_\infty$ Controller Using Genetic Algorithms (유전 알고리즘을 이용한 $H_2 / H_\infty$ 혼합 제어기 설계)

  • Lee, Jong-Sung;Kang, Ki-Won;Park, Ki-Heon
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.4
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    • pp.276-284
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    • 2000
  • In this paper, the genetic algorithm is used to design a mixed H₂/ H/sub ∞/ controller Two kinds of controller forms, Youla's form and the general form, are considered to design a mixed H₂/ H/sub ∞/ controller. Efficient searching methods are sought to minimize the given H₂cost function under the H∞ constraint. It is verified by an example that the developed algorithm can provide stable results in the region where unstable results are shown by the conventional gradient method.

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TWO-SCALE PRODUCT APPROXIMATION FOR SEMILINEAR PARABOLIC PROBLEMS IN MIXED METHODS

  • Kim, Dongho;Park, Eun-Jae;Seo, Boyoon
    • Journal of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.267-288
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    • 2014
  • We propose and analyze two-scale product approximation for semilinear heat equations in the mixed finite element method. In order to efficiently resolve nonlinear algebraic equations resulting from the mixed method for semilinear parabolic problems, we treat the nonlinear terms using some interpolation operator and exploit a two-scale grid algorithm. With this scheme, the nonlinear problem is reduced to a linear problem on a fine scale mesh without losing overall accuracy of the final system. We derive optimal order $L^{\infty}((0, T];L^2({\Omega}))$-error estimates for the relevant variables. Numerical results are presented to support the theory developed in this paper.