• Title/Summary/Keyword: Polynomial Regression

Search Result 360, Processing Time 0.025 seconds

Effect of Various Regression Functions on Structural Optimizations Using the Central Composite Method (중심합성법에 의한 구조최적화에서 회귀함수변화의 영향)

  • Park, Jung-Sun;Jeon, Yong-Sung;Im, Jong-Bin
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.33 no.1
    • /
    • pp.26-32
    • /
    • 2005
  • In this paper, the effect of various regression models is investigated on structural optimization using the central composite method. Three bar truss and the upper platform of a satellite are optimized using various regression models that are polynomial, exponential and log functions. Response surface method is non-gradient, semi-global, discrete and fast converging in optimization problem. Sampling points are extracted by the design of experiments using the central composite method. Response surface is generated using the various regression functions. Structural analysis for calculating constraints is executed to find static and dynamic responses. From this study, it is verified that the response surface method has advantage in optimum value and computation time in comparison to other optimization methods.

Basic Research on Structural Optimum Design of G/T 250ton Class Double-ended Car-Ferry Ship (G/T 250톤급 양방향 차도선의 차량갑판 구조 최적설계에 관한 기초연구)

  • Kang, Byoung-Mo;Oh, Young-Cheol;Seo, Kwang-Cheol;Bae, Dong-Gyun;Ko, Jae-Yong
    • Journal of the Korean Society of Marine Environment & Safety
    • /
    • v.21 no.6
    • /
    • pp.729-736
    • /
    • 2015
  • In this paper, It was performed to optimize for the deck's structural design of a double ended car ferry ship respect to Goal-Driven Optimization (GDO). It was examined for the strength and deformation of the deck and determined to save economic cost the optimal point. The deck thickness based on the Design of Experiments (DOE) and response surface method was increased to 110%. and can improve the deck's strength and stiffness. By performing the regression analysis respect to the result, we propose the optimal regression model formula as a third degree polynomial regression models. The coefficient of determination $R^2$ was about 0.98 and reliability could be obtained.

Design Optimization for 3D Woven Materials Based on Regression Analysis (회귀 분석에 기반한 3차원 엮임 재료의 최적설계)

  • Byungmo, Kim;Kichan, Sim;Seung-Hyun, Ha
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.35 no.6
    • /
    • pp.351-356
    • /
    • 2022
  • In this paper, we present the regression analysis and design optimization for improving the permeability of 3D woven materials based on numerical analysis data. First, the parametric analysis model is generated with variables that define the gap sizes between each directional wire of the woven material. Then, material properties such as bulk modulus, thermal conductivity coefficient, and permeability are calculated using numerical analysis, and these material data are used in the polynomial-based regression analysis. The Pareto optimal solution is obtained between bulk modulus and permeability by using multi-objective optimization and shows their trade-off relation. In addition, gradient-based design optimization is applied to maximize the fluid permeability for 3D woven materials, and the optimal designs are obtained according to the various minimum bulk modulus constraints. Finally, the optimal solutions from regression equations are verified to demonstrate the accuracy of the proposed method.

A study of statistical analysis method of monitoring data for freshwater lake water quality management (담수호 수질관리를 위한 측정자료의 통계적 분석방법 연구)

  • Chegal, Sundong;Kim, Jin
    • Journal of Korea Water Resources Association
    • /
    • v.57 no.1
    • /
    • pp.9-19
    • /
    • 2024
  • As using public monitoring data, analysing a trends of water quality change, establishing a criteria to determine abnormal status and constructing a regression model that can predict Chlorophyll-a, an indicator of eutrophication, was studied. Accordingly, the three freshwater lakes were selected, approximately 20 years of water quality monitoring data were analyzed for periodic changes in water quality each year using regression analysis, and a method for determining abnormalities was presented by the standard deviation at confidence level 95%. By calculating the temporal change rate of Chlorophyll-a from irregular observed data, analyzing correlations between the rate and other water quality items, and constructing regression models, a method to predict changes in Chlorophyll-a was presented. The results of this study are expected to contribute to freshwater lake water quality management as an approximate water quality prediction method using the statistical model.

Predictive mathematical model for the growth kinetics of Listeria monocytogenes on smoked salmon (온도와 시간을 주요 변수로한 훈제연어에서의 Listeria monocytogenes 성장예측모델)

  • Cho, Joon-Il;Lee, Soon-Ho;Lim, Ji-Su;Kwak, Hyo-Sun;Hwang, In-Gyun
    • Journal of Food Hygiene and Safety
    • /
    • v.26 no.2
    • /
    • pp.120-124
    • /
    • 2011
  • Predictive mathematical models were developed for predicting the kinetics of growth of Listeria monocytogenes in smoked salmon, which is the popular ready-to-eat foods in the world, as a function of temperature (4, 10, 20 and $30^{\circ}C$). At these storage temperature, the primary growth curve fit well ($r^2$=0.989~0.996) to a Gompertz equation to obtain specific growth rate (SGR) and lag time (LT). The Polynomial model for natural logarithm transformation of the SGR and LT as a function of temperature was obtained by nonlinear regression (Prism, version 4.0, GraphPad Software). Results indicate L. monocytogenes growth was affected by temperature mainly, and SGR model equation is $365.3-31.94^*Temperature+0.6661^*Temperature^{\wedge^2}$ and LT model equation is $0.1162-0.01674^*Temperature+0.0009303^*Temperature{\wedge^2}$. As storage temperature decreased $30^{\circ}C$ to $4^{\circ}C$, SGR decreased and LT increased respectively. Polynomial model was identified as appropriate secondary model for SGR and LT on the basis of most statistical indices such as bias factor (1.01 by SGR, 1.55 by LT) and accuracy factor (1.03 by SGR, 1.58 by LT).

Interaction in Model of Herbicide Combination Using Oxyfluorfen to Control Orchard Weeds (Oxyfluorfen을 주재(主材)로 한 과수원(果樹園) 제초제(除草劑) 조합처리(組合處理) 모형(模型)의 상호작용(相互作用) 효과(效果) 해석연구(解析硏究))

  • Guh, J.O.;Cho, Y.W.;Kwon, S.L.;Lee, W.Z.
    • Korean Journal of Weed Science
    • /
    • v.4 no.1
    • /
    • pp.88-95
    • /
    • 1984
  • The study was intended to analyze the interaction effects of paraquat and oxytluorfen as an orchard herbicide-mixture. Data were prepared from the former report of authors. The algebraic expression for the actions of paraquat and oxyfluorfen on the control percentages of peach orchard weeds, and their interactions were determined from the multiple regression polynomial and plotted in three-dimensional graphs. As a result of treatments by combination of paraquat and oxyfluorfen on the field which was dominated by perennial weeds, the most effective interactions were detected at combination rates of $245\;gHa^{-1}$ paraquat and $470-705\;gHa^{-1}$ oxyfluorfen. However, to develope the long-term weeding-efficacies, the combination rates of paraquat are expected to raise up to $500-700\;gHa^{-1}$, and oxyfluorfen to fit at lower limits of rates, respectively.

  • PDF

Testing the Relationship between Person-Organizational Value Fit and Performance (개인-조직가치 부합수준과 성과관계 검증)

  • Park, Yang-Kyu;Yeo, Sung-Chil
    • The Korean Journal of Applied Statistics
    • /
    • v.24 no.2
    • /
    • pp.411-424
    • /
    • 2011
  • The studies of congruence in organizational research have explored the concepts such as person-job fit person-organization fit, or person-environment fit. The relevant studies dealt with the fit level as an important influencing factor on the performance. In particular, researchers have agreed that employees can be motivated by the high level fit of person-organization. However, few research developing an alternative methodological approach has been done. For the purpose mentioned above the statistics like D, |D| or $D^2$ and the Q values such as Q(the correlation between two sets of interval measures) or $Q_r$(the correlation between two rankings) have been conventionally adopted in spite of numerous methodological problems. In general, these traditional indices such as difference scores, or Q values, are nondirectional and add an extra weight to differences of lager magnitude. Therefore, Edwards (1993) introduced the polynomial regression and the response surface analysis to overcome flaws with conventional approaches. However, the method-ological approaches did not reflect the profile characteristics of person-organizational value fit and wouldn't be a proper solution for the fit level of person-organization value maximizing performance. Hence, this paper investigates alternative methodological approaches, the multivariate polynomial regression and the multiple response surface analysis, to avoid the problems issued from conventional ways.

Continuous Speech Recognition based on Parmetric Trajectory Segmental HMM (모수적 궤적 기반의 분절 HMM을 이용한 연속 음성 인식)

  • 윤영선;오영환
    • The Journal of the Acoustical Society of Korea
    • /
    • v.19 no.3
    • /
    • pp.35-44
    • /
    • 2000
  • In this paper, we propose a new trajectory model for characterizing segmental features and their interaction based upon a general framework of hidden Markov models. Each segment, a sequence of vectors, is represented by a trajectory of observed sequences. This trajectory is obtained by applying a new design matrix which includes transitional information on contiguous frames, and is characterized as a polynomial regression function. To apply the trajectory to the segmental HMM, the frame features are replaced with the trajectory of a given segment. We also propose the likelihood of a given segment and the estimation of trajectory parameters. The obervation probability of a given segment is represented as the relation between the segment likelihood and the estimation error of the trajectories. The estimation error of a trajectory is considered as the weight of the likelihood of a given segment in a state. This weight represents the probability of how well the corresponding trajectory characterize the segment. The proposed model can be regarded as a generalization of a conventional HMM and a parametric trajectory model. The experimental results are reported on the TIMIT corpus and performance is show to improve significantly over that of the conventional HMM.

  • PDF

Estimation of Genetic Parameters for First Lactation Monthly Test-day Milk Yields using Random Regression Test Day Model in Karan Fries Cattle

  • Singh, Ajay;Singh, Avtar;Singh, Manvendra;Prakash, Ved;Ambhore, G.S.;Sahoo, S.K.;Dash, Soumya
    • Asian-Australasian Journal of Animal Sciences
    • /
    • v.29 no.6
    • /
    • pp.775-781
    • /
    • 2016
  • A single trait linear mixed random regression test-day model was applied for the first time for analyzing the first lactation monthly test-day milk yield records in Karan Fries cattle. The test-day milk yield data was modeled using a random regression model (RRM) considering different order of Legendre polynomial for the additive genetic effect (4th order) and the permanent environmental effect (5th order). Data pertaining to 1,583 lactation records spread over a period of 30 years were recorded and analyzed in the study. The variance component, heritability and genetic correlations among test-day milk yields were estimated using RRM. RRM heritability estimates of test-day milk yield varied from 0.11 to 0.22 in different test-day records. The estimates of genetic correlations between different test-day milk yields ranged 0.01 (test-day 1 [TD-1] and TD-11) to 0.99 (TD-4 and TD-5). The magnitudes of genetic correlations between test-day milk yields decreased as the interval between test-days increased and adjacent test-day had higher correlations. Additive genetic and permanent environment variances were higher for test-day milk yields at both ends of lactation. The residual variance was observed to be lower than the permanent environment variance for all the test-day milk yields.

Outlier-Object Detection Using an Image Pair Based on Regression Analysis: Noise Variance Estimation and Performance Analysis (영상 쌍에서 회귀분석에 기초한 이상 물체 검출: 잡음분산의 추정과 성능 분석)

  • Kim, Dong-Sik
    • Journal of the Institute of Electronics Engineers of Korea SP
    • /
    • v.45 no.5
    • /
    • pp.25-34
    • /
    • 2008
  • By comparing two images, which are captured with the same scene at different time, we can detect a set of outliers, such as occluding objects due to moving vehicles. To reduce the influence from the different intensity properties of the images, an intensity compensation scheme, which is based on the polynomial regression model, is employed. For an accurate detection of outliers alleviating the influence from a set of outliers, a simple technique that reruns the regression is employed. In this paper, an algorithm that iteratively reruns the regression is theoretically analyzed by observing the convergence property of the estimates of the noise variance. Using a correction constant for the estimate of the noise variance is proposed. The correction enables the detection algorithm robust to the choice of thresholds for selecting outliers. Numerical analysis using both synthetic and Teal images are also shown in this paper to show the robust performance of the detection algorithm.