• 제목/요약/키워드: Nonlinear Regression Model

검색결과 423건 처리시간 0.026초

비선형회귀분석을 이용한 가압식 쏘일네일링의 극한인발저항력 판정 (Estimation of Ultimate Pullout Resistance of Soil-Nailing Using Nonlinear)

  • 박현규;이강일
    • 한국지반신소재학회논문집
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    • 제15권2호
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    • pp.65-75
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    • 2016
  • 본 연구에서는 최근 적용사례가 급증하고 있는 가압식 그라우팅을 이용한 쏘일네일링의 현장인발시험 자료를 수집하여 데이터베이스를 구성하였으며, 기존의 도해법을 이용한 극한인발저항력 판정법의 문제점을 보완하기 위하여 비선형회귀분석을 이용하여 극한인발저항력을 판정하는 방법을 제안하였다. 비선형회귀분석에 의해 추정된 하중-변위곡선은 현장인발시험 자료와 매우 높은 상관성을 보였으며, 도해법에 의해 판정된 극한인발하중에 비해 평균 29% 정도 크게 판정되었다. 쏘일네일의 하중-변위곡선이 항복하중 이후에 급격한 변위를 보이는 경우에는 S자 성장곡선 회귀모형이 가장 적합하며, 인발하중과 변위의 증가량이 점진적으로 감소하는 파괴거동을 보이는 하중-변위곡선은 점근적 방법이 가장 적합한 회귀모형으로 평가되었다. 본 연구로부터 제안된 단위극한주면 마찰 저항력은 국내 지반특성과 가압식 그라우팅 공법의 특성이 반영된 것으로 해외 연구결과로부터 제시된 설계도표를 이용하던 문제점을 개선함으로써 독자적인 설계기준을 확보하는데 기여할 수 있을 것으로 기대된다.

Bayesian Model Selection for Nonlinear Regression under Noninformative Prior

  • Na, Jonghwa;Kim, Jeongsuk
    • Communications for Statistical Applications and Methods
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    • 제10권3호
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    • pp.719-729
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    • 2003
  • We propose a Bayesian model selection procedure for nonlinear regression models under noninformative prior. For informative prior, Na and Kim (2002) suggested the Bayesian model selection procedure through MCMC techniques. We extend this method to the case of noninformative prior. The difficulty with the use of noninformative prior is that it is typically improper and hence is defined only up to arbitrary constant. The methods, such as Intrinsic Bayes Factor(IBF) and Fractional Bayes Factor(FBF), are used as a resolution to the problem. We showed the detailed model selection procedure through the specific real data set.

Local linear regression analysis for interval-valued data

  • Jang, Jungteak;Kang, Kee-Hoon
    • Communications for Statistical Applications and Methods
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    • 제27권3호
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    • pp.365-376
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    • 2020
  • Interval-valued data, a type of symbolic data, is given as an interval in which the observation object is not a single value. It can also occur frequently in the process of aggregating large databases into a form that is easy to manage. Various regression methods for interval-valued data have been proposed relatively recently. In this paper, we introduce a nonparametric regression model using the kernel function and a nonlinear regression model for the interval-valued data. We also propose applying the local linear regression model, one of the nonparametric methods, to the interval-valued data. Simulations based on several distributions of the center point and the range are conducted using each of the methods presented in this paper. Various conditions confirm that the performance of the proposed local linear estimator is better than the others.

토양특성이 상수도관의 외부부식에 미치는 영향 평가 (Assessment of Soil Characteristics on External Corrosion of Water Pipes)

  • 배철호;김주환;박상영;김정현;홍성호;이경재
    • 상하수도학회지
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    • 제20권5호
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    • pp.737-745
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    • 2006
  • The goal of this study is to present an external pit corrosion rate($p_{ecr}$) model with considering both the age of pipe and the soil characteristics. The correlation of nonlinear exponential model among conventional empirical models was a little higher than other empirical models in the prediction of $p_{ecr}$ according to the age of pipe. However, there has been a limit to predict Peer with the model by using only a pipe age since installation as a variable. The soil analysis results from sixty nine samples showed that all of the samples were non corrosive in the assessment of ANSI/AWWA scoring system. The correlation of soil corrosion factors and $p_{ecr}$ was also low. The application result of linear and nonlinear regression models that soil characteristics only showed a low correlation with $p_{ecr}$ Proposed nonlinear regression model in this study, with considering both the age of pipe and the soil characteristics, showed a little higher correlation ($R^2=0.46$) than conventional model.

A Note on Test for Model Adequacy in Nonlinear Regression

  • Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
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    • 제15권3호
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    • pp.689-694
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    • 2004
  • We investigate the test for model adequacy in nonlinear regression. We can expect the usual likelihood ratio statistic to be unaffected by any parametric- effect curvature; only the effect of intrinsic curvature needs to be considered. Multiplicative correction factor is derived for the limiting distribution of test statistic, which is a function of the intrinsic curvature arrays.

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Statistical analysis on the fluence factor of surveillance test data of Korean nuclear power plants

  • Lee, Gyeong-Geun;Kim, Min-Chul;Yoon, Ji-Hyun;Lee, Bong-Sang;Lim, Sangyeob;Kwon, Junhyun
    • Nuclear Engineering and Technology
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    • 제49권4호
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    • pp.760-768
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    • 2017
  • The transition temperature shift (TTS) of the reactor pressure vessel materials is an important factor that determines the lifetime of a nuclear power plant. The prediction of the TTS at the end of a plant's lifespan is calculated based on the equation of Regulatory Guide 1.99 revision 2 (RG1.99/2) from the US. The fluence factor in the equation was expressed as a power function, and the exponent value was determined by the early surveillance data in the US. Recently, an advanced approach to estimate the TTS was proposed in various countries for nuclear power plants, and Korea is considering the development of a new TTS model. In this study, the TTS trend of the Korean surveillance test results was analyzed using a nonlinear regression model and a mixed-effect model based on the power function. The nonlinear regression model yielded a similar exponent as the power function in the fluence compared with RG1.99/2. The mixed-effect model had a higher value of the exponent and showed superior goodness of fit compared with the nonlinear regression model. Compared with RG1.99/2 and RG1.99/3, the mixed-effect model provided a more accurate prediction of the TTS.

전기 가격 예측을 위한 맵리듀스 기반의 로컬 단위 선형회귀 모델 (MapReduce-based Localized Linear Regression for Electricity Price Forecasting)

  • 한진주;이인규;온병원
    • 전기학회논문지P
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    • 제67권4호
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    • pp.183-190
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    • 2018
  • Predicting accurate electricity prices is an important task in the electricity trading market. To address the electricity price forecasting problem, various approaches have been proposed so far and it is known that linear regression-based approaches are the best. However, the use of such linear regression-based methods is limited due to low accuracy and performance. In traditional linear regression methods, it is not practical to find a nonlinear regression model that explains the training data well. If the training data is complex (i.e., small-sized individual data and large-sized features), it is difficult to find the polynomial function with n terms as the model that fits to the training data. On the other hand, as a linear regression model approximating a nonlinear regression model is used, the accuracy of the model drops considerably because it does not accurately reflect the characteristics of the training data. To cope with this problem, we propose a new electricity price forecasting method that divides the entire dataset to multiple split datasets and find the best linear regression models, each of which is the optimal model in each dataset. Meanwhile, to improve the performance of the proposed method, we modify the proposed localized linear regression method in the map and reduce way that is a framework for parallel processing data stored in a Hadoop distributed file system. Our experimental results show that the proposed model outperforms the existing linear regression model. Specifically, the accuracy of the proposed method is improved by 45% and the performance is faster 5 times than the existing linear regression-based model.

THE CONSISTENCY OF NONLINEAR REGRESSION MINIMIZING $L_p$-NORM

  • Choi, Seung-Hoe;Park, Kyung-Ok
    • East Asian mathematical journal
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    • 제14권2호
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    • pp.421-427
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    • 1998
  • In this paper we provide sufficient conditions which ensure the strong consistency of $L_p$-norm estimation in nonlinear regression model when the probability distribution of the errors term is symmetric about zero. The least absolute deviation and least square estimation are discussed as special cases of the proposed estimation.

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최소 제곱 서포트 벡터 회귀 기반 비선형 자귀회귀 방법을 이용한 지속 모음 모델링 (Sustained Vowel Modeling using Nonlinear Autoregressive Method based on Least Squares-Support Vector Regression)

  • 장승진;김효민;박영철;최홍식;윤영로
    • 한국지능시스템학회논문지
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    • 제17권7호
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    • pp.957-963
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    • 2007
  • 본 연구에서는 비선형 지속 모음 모델링을 위한 최소 제곱 서포트 벡터 회귀 기반 비선형 자귀회귀 방법을 소개하고 분석하였다. 비주기적인 파형 특성을 갖는 양성 후두 질환자 43명의 지속 모음을 대상으로 한 실험에서 제안된 비선형 합성기는 거의 완벽하게 혼란한 지속 모음을 생성하고 선형 예측 코딩은 할 수 없는 주파수 변동과 같은 자연스러운 음의 특성 또한 보존할 수 있었다. 하지만 일부 모음의 합성 결과 실제 원음과 다른 차이점을 보였다. 이러한 결과들은 단일 밴드 모델이 음의 고주파 성분을 조정, 분해 못하기 때문에 발생한 것이라 가정된다. 그러므로 웨이블릿 필터 뱅크를 이용한 멀티 밴드 모델을 단일 밴드 모델과 대치하여 실험을 수행한 결과 향상된 안정성을 보였다. 결과적으로 최소 제곱 서포트 벡터 회귀 기반 비선형 자귀회귀 방법은 성공적으로 원음에 가까운 합성음을 생성할 수 있다는 것을 확인 할 수 있었다.

Prediction of ultimate load capacity of concrete-filled steel tube columns using multivariate adaptive regression splines (MARS)

  • Avci-Karatas, Cigdem
    • Steel and Composite Structures
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    • 제33권4호
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    • pp.583-594
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    • 2019
  • In the areas highly exposed to earthquakes, concrete-filled steel tube columns (CFSTCs) are known to provide superior structural aspects such as (i) high strength for good seismic performance (ii) high ductility (iii) enhanced energy absorption (iv) confining pressure to concrete, (v) high section modulus, etc. Numerous studies were reported on behavior of CFSTCs under axial compression loadings. This paper presents an analytical model to predict ultimate load capacity of CFSTCs with circular sections under axial load by using multivariate adaptive regression splines (MARS). MARS is a nonlinear and non-parametric regression methodology. After careful study of literature, 150 comprehensive experimental data presented in the previous studies were examined to prepare a data set and the dependent variables such as geometrical and mechanical properties of circular CFST system have been identified. Basically, MARS model establishes a relation between predictors and dependent variables. Separate regression lines can be formed through the concept of divide and conquers strategy. About 70% of the consolidated data has been used for development of model and the rest of the data has been used for validation of the model. Proper care has been taken such that the input data consists of all ranges of variables. From the studies, it is noted that the predicted ultimate axial load capacity of CFSTCs is found to match with the corresponding experimental observations of literature.