• Title/Summary/Keyword: R-Squared

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Fractional Diffusion Equation Approach to the Anomalous Diffusion on Fractal Lattices

  • Huh, Dann;Lee, Jin-Uk;Lee, Sang-Youb
    • Bulletin of the Korean Chemical Society
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    • v.26 no.11
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    • pp.1723-1727
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    • 2005
  • A generalized fractional diffusion equation (FDE) is presented, which describes the time-evolution of the spatial distribution of a particle performing continuous time random walk (CTRW) on a fractal lattice. For a case corresponding to the CTRW with waiting time distribution that behaves as $\psi(t) \sim (t) ^{-(\alpha+1)}$, the FDE is solved to give analytic expressions for the Green’s function and the mean squared displacement (MSD). In agreement with the previous work of Blumen et al. [Phys. Rev. Lett. 1984, 53, 1301], the time-dependence of MSD is found to be given as < $r^2(t)$ > ~ $t ^{2\alpha/dw}$, where $d_w$ is the walk dimension of the given fractal. A Monte-Carlo simulation is also performed to evaluate the range of applicability of the proposed FDE.

QSPR Study of the Absorption Maxima of Azobenzene Dyes

  • Xu, Jie;Wang, Lei;Liu, Li;Bai, Zikui;Wang, Luoxin
    • Bulletin of the Korean Chemical Society
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    • v.32 no.11
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    • pp.3865-3872
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    • 2011
  • A quantitative structure-property relationship (QSPR) study was performed for the prediction of the absorption maxima of azobenzene dyes. The entire set of 191 azobenzenes was divided into a training set of 150 azobenzenes and a test set of 41 azobenzenes according to Kennard and Stones algorithm. A seven-descriptor model, with squared correlation coefficient ($R^2$) of 0.8755 and standard error of estimation (s) of 14.476, was developed by applying stepwise multiple linear regression (MLR) analysis on the training set. The reliability of the proposed model was further illustrated using various evaluation techniques: leave-many-out crossvalidation procedure, randomization tests, and validation through the test set.

An Acoustical Study of English Word Stress Produced by Americans and Koreans

  • Yang, Byung-Gon
    • Speech Sciences
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    • v.9 no.1
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    • pp.77-88
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    • 2002
  • Acoustical correlates of stress can be classified as duration, intensity and fundamental frequency. This study examined the acoustical differences in the first two syllables of stressed English words produced by ten American and Korean speakers. The Korean subjects scored very high on the TOEFL. They read at a normal speed a fable from which the acoustical parameters of eight words were analyzed. In order to make the data comparison meaningful, each parameter was collected at 100 dynamic time points proportional to the total duration of the two syllables. Then the ratio of the parameter sum of the first rime to that of the second rime was calculated to determine the relative prominence of the syllables. Results showed that the durations of the first two syllables were almost comparable between the Americans and Koreans. However, statistically significant differences showed up in the diphthong pronunciations and in the words with the second syllable stressed. Also, remarkably high r-squared values were found between pairs of the three acoustical parameters, which suggests that either one or a combination of two or more parameters may account for the prominence of a syllable within a word.

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A comparison of neural networks to ols regression in process/quality control applications

  • Nam, Kyungdoo;Sanford, Clive C.;Jayakumar, Maliyakal D.
    • Korean Management Science Review
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    • v.11 no.2
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    • pp.133-146
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    • 1994
  • This study compares the performance of neural networks and ordinary least squares regression with quality-control processes. We examine the applicability of neural networks because they do not require any assumptions regarding either the functional from of the underlying process or the distribution of errors. The coefficient of determination($R^2$), mean absolute deviation(MAD), and the mean squared error(MSE) metrics indicate that neural networks are a viable and can be a superior technique. We also demonstrate that an assessment of the magnitude of the neural notwork input layer cumulative weights can be used to determine the relative importance of predictor variables.

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An Incompressible Flow Computation by a Hierarchical Iterative Preconditioning (계층적 반복의 예조건화에 의한 비압축성 유동 계산)

  • Kim J. W.;Jeong C. R.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.91-98
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    • 2004
  • In two dimensional incompressible flows, a preconditioning technique called Hierarchical Iterative Procedure(HIP) has been implemented on a stabilized finite element formulation. The stabilization has been peformed by a modified residual method proposed by Illinca et. al.[3]. The stabilization which is necessary to escape from the LBB constraint renders an equal order formulation. In this paper, we increased the order of interpolation whithin an element up to cubic. The conjugate gradient squared(CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements has been used to achieve a higher order accuracy in fluid flow analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far. The numerical results by the present HIP for the lid driven cavity flow showed the present procedure to be stable, very efficient and useful in flow analyses in conjunction with hierarchical elements.

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A Comparative Analysis of Landslide Susceptibility Assessment by Using Global and Spatial Regression Methods in Inje Area, Korea

  • Park, Soyoung;Kim, Jinsoo
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.33 no.6
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    • pp.579-587
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    • 2015
  • Landslides are major natural geological hazards that result in a large amount of property damage each year, with both direct and indirect costs. Many researchers have produced landslide susceptibility maps using various techniques over the last few decades. This paper presents the landslide susceptibility results from the geographically weighted regression model using remote sensing and geographic information system data for landslide susceptibility in the Inje area of South Korea. Landslide locations were identified from aerial photographs. The eleven landslide-related factors were calculated and extracted from the spatial database and used to analyze landslide susceptibility. Compared with the global logistic regression model, the Akaike Information Criteria was improved by 109.12, the adjusted R-squared was improved from 0.165 to 0.304, and the Moran’s I index of this analysis was improved from 0.4258 to 0.0553. The comparisons of susceptibility obtained from the models show that geographically weighted regression has higher predictive performance.

Analysis of Stage-Discharge Relationships in the Irrigation Canal with Auto-Measuring System (자동계측이 이루어지는 관개용수로에서의 수위-유량관계 분석)

  • Park, Chang-Eon;Kim, Jin-Taek;Oh, Sung-Tae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.1
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    • pp.109-114
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    • 2012
  • Stage-discharge relationship is applied to convert water level into discharge at the auto-measuring station in many irrigation canals. The stage-discharge curve is very important for reliable application for the agricultural water management system. We made results of discharge measurement at 18 stations in the irrigation canal nearby the Idong reservoir from 2010 to 2011. Stage-discharge relationships for each 18 stations were drawn considering of different hydraulic and geometrical characteristics at each stations. R-squared over 0.91 at each stations show high reliability for application of these relationships.

A Study on the Development of Integral Forging Process for Cask of Nuclear Fuel (핵연료 용기의 일체형 단조공정 개발에 관한 연구)

  • Kim, M.W.;Cho, J.R.;Kim, D.K.;Kim, D.Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.369-372
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    • 2006
  • Monolithic forging of cask is required continuously. Body-base monolithic forging of cask has advantage of an economical manufacturing process and better reliability for nuclear applications. Through the finite element analysis and parametric study of design variables, those are die angle, groove length and flange thickness, the optimal dimensions of preform and die sets are determined in order to develop a suitable forging process for body-base monolithic forging. To verify the result of finite element analysis, the physical model of 1/30 scale of actual product using plasticine was carried out. The result of this experiment, deformed shapes were very similar to the finite element analysis. As a result of this work, the special piercing method was developed using blank material consisting of a flange, groove and squared part.

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A Design of Real Time Measurement System for EMG Silent Period Under Window Base (윈도우 환경하에서 근전도의 실시간 Silent Period 측정 시스템 설계)

  • 강병길;김태훈;이영석;김덕영;김세동;김성환
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.10
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    • pp.611-617
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    • 2003
  • A mechanical or electrical stimulation to the mandibular symphysis during a maximal voluntary clenching of the teeth always produces a jaw jerk followed by a silent period (transient stops) in the masseteric EMG (electromyogram). Generally, a mechanical stimulation is followed by a single silent period, and an electrical stimulation is followed by multiple silent periods. In this paper, we propose a new algorithm for determining the duration of the masseter silent period. The decision approach in essentially based upon a segmentation algorithm consisted of variance filter, median filter and gaussian filter. The new adaptive digital notch filter using R-CLMS(reverse constrained least mean-squared) algorithm is proposed for the elimination of powerline(60Hz) noise. At the same time, we design a real time measurement system for the EMG silent period under Window base.

Study of Retention in Micellar Liquid Chromatography on a C18 Column on the Basis of Linear Solvation Energy Relationships

  • Tian, Minglei;Row, Kyung-Ho
    • Bulletin of the Korean Chemical Society
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    • v.29 no.5
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    • pp.979-984
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    • 2008
  • In this study, 8 solutes (aniline, caffeine, p-cresol, ethyl benzene, methylparaben, phenol, pyridine, and toluene) have been tested in terms of linear solvation energy relationships (LSER). Several micellar liquid chromatography (MLC) systems using cationic surfactant cetyltrimethylammonium bromide (CTAB) and a mixture of water with (methanol, n-propanol, and n-butanol) modifiers were characterized using the LSER solvation parameter model. The effects of the surfactant and modifier concentration on the retention in MLC were discussed. LSER model had demonstrated high potential to predict retention factors with high squared correlation coefficients ($r^2$ > 0.99). A comparison of predicted and experimental retention factors suggests that LSER formalism is able to reproduce adequately the experimental retention factors of the solutes studied in the different experimental conditions investigated. This model is a helpful tool to understand the solute-surfactant interactions and evaluate the retention characteristic of micellar liquid chromatography.