• 제목/요약/키워드: coefficient of determination (R-square)

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Enhancing prediction of the moment-rotation behavior in flush end plate connections using Multi-Gene Genetic Programming (MGGP)

  • Amirmohammad Rabbani;Amir Reza Ghiami Azad;Hossein Rahami
    • Structural Engineering and Mechanics
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    • 제91권6호
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    • pp.643-656
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    • 2024
  • The prediction of the moment rotation behavior of semi-rigid connections has been the subject of extensive research. However, to improve the accuracy of these predictions, there is a growing interest in employing machine learning algorithms. This paper investigates the effectiveness of using Multi-gene genetic programming (MGGP) to predict the moment-rotation behavior of flush-end plate connections compared to that of artificial neural networks (ANN) and previous studies. It aims to automate the process of determining the most suitable equations to accurately describe the behavior of these types of connections. Experimental data was used to train ANN and MGGP. The performance of the models was assessed by comparing the values of coefficient of determination (R2), maximum absolute error (MAE), and root-mean-square error (RMSE). The results showed that MGGP produced more accurate, reliable, and general predictions compared to ANN and previous studies with an R2 exceeding 0.99, an RMSE of 6.97, and an MAE of 38.68, highlighting its advantages over other models. The use of MGGP can lead to better modeling and more precise predictions in structural design. Additionally, an experimentally-based regression analysis was conducted to obtain the rotational capacity of FECs. A new equation was proposed and compared to previous ones, showing significant improvement in accuracy with an R2 score of 0.738, an RMSE of 0.014, and an MAE of 0.024.

Partial Least Squares Analysis on Near-Infrared Absorbance Spectra by Air-dried Specific Gravity of Major Domestic Softwood Species

  • Yang, Sang-Yun;Park, Yonggun;Chung, Hyunwoo;Kim, Hyunbin;Park, Se-Yeong;Choi, In-Gyu;Kwon, Ohkyung;Cho, Kyu-Chae;Yeo, Hwanmyeong
    • Journal of the Korean Wood Science and Technology
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    • 제45권4호
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    • pp.399-408
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    • 2017
  • Research on the rapid and accurate prediction of physical properties of wood using near-infrared (NIR) spectroscopy has attracted recent attention. In this study, partial least squares analysis was performed between NIR spectra and air-dried specific gravity of five domestic conifer species including larch (Larix kaempferi), Korean pine (Pinus koraiensis), red pine (Pinus densiflora), cedar (Cryptomeria japonica), and cypress (Chamaecyparis obtusa). Fifty different lumbers per species were purchased from the five National Forestry Cooperative Federations of Korea. The air-dried specific gravity of 100 knot- and defect-free specimens of each species was determined by NIR spectroscopy in the range of 680-2500 nm. Spectral data preprocessing including standard normal variate, detrend and forward first derivative (gap size = 8, smoothing = 8) were applied to all the NIR spectra of the specimens. Partial least squares analysis including cross-validation (five groups) was performed with the air-dried specific gravity and NIR spectra. When the performance of the regression model was expressed as $R^2$ (coefficient of determination) and root mean square error of calibration (RMSEC), $R^2$ and RMSEC were 0.63 and 0.027 for larch, 0.68 and 0.033 for Korean pine, 0.62 and 0.033 for red pine, 0.76 and 0.022 for cedar, and 0.79 and 0.027 for cypress, respectively. For the calibration model, which contained all species in this study, the $R^2$ was 0.75 and the RMSEC was 0.37.

Predictive model for the shear strength of concrete beams reinforced with longitudinal FRP bars

  • Alzabeebee, Saif;Dhahir, Moahmmed K.;Keawsawasvong, Suraparb
    • Structural Engineering and Mechanics
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    • 제84권2호
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    • pp.143-154
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    • 2022
  • Corrosion of steel reinforcement is considered as the main cause of concrete structures deterioration, especially those under humid environmental conditions. Hence, fiber reinforced polymer (FRP) bars are being increasingly used as a replacement for conventional steel owing to their non-corrodible characteristics. However, predicting the shear strength of beams reinforced with FRP bars still challenging due to the lack of robust shear theory. Thus, this paper aims to develop an explicit data driven based model to predict the shear strength of FRP reinforced beams using multi-objective evolutionary polynomial regression analysis (MOGA-EPR) as data driven models learn the behavior from the input data without the need to employee a theory that aid the derivation, and thus they have an enhanced accuracy. This study also evaluates the accuracy of predictive models of shear strength of FRP reinforced concrete beams employed by different design codes by calculating and comparing the values of the mean absolute error (MAE), root mean square error (RMSE), mean (𝜇), standard deviation of the mean (𝜎), coefficient of determination (R2), and percentage of prediction within error range of ±20% (a20-index). Experimental database has been developed and employed in the model learning, validation, and accuracy examination. The statistical analysis illustrated the robustness of the developed model with MAE, RMSE, 𝜇, 𝜎, R2, and a20-index of 14.6, 20.8, 1.05, 0.27, 0.85, and 0.61, respectively for training data and 10.4, 14.1, 0.98, 0.25, 0.94, and 0.60, respectively for validation data. Furthermore, the developed model achieved much better predictions than the standard predictive models as it scored lower MAE, RMSE, and 𝜎, and higher R2 and a20-index. The new model can be used in future with confidence in optimized designs as its accuracy is higher than standard predictive models.

Predictive Thin Layer Drying Model for White and Black Beans

  • Kim, Hoon;Han, Jae-Woong
    • Journal of Biosystems Engineering
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    • 제42권3호
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    • pp.190-198
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    • 2017
  • Purpose: A thin-layer drying equation was developed to analyze the drying processes of soybeans (white and black beans) and investigate drying conditions by verifying the suitability of existing grain drying equations. Methods: The drying rates of domestic soybeans were measured in a drying experiment using air at a constant temperature and humidity. The drying rate of soybeans was measured at two temperatures, 50 and $60^{\circ}C$, and three relative humidities, 30, 40 and 50%. Experimental constants were determined for the selected thin layer drying models (Lewis, Page, Thompson, and moisture diffusion models), which are widely used for predicting the moisture contents of grains, and the suitability of these models was compared. The suitability of each of the four drying equations was verified using their predicted values for white beans as well as the determination coefficient ($R^2$) and the root mean square error (RMSE) of the experiment results. Results: It was found that the Thompson model was the most suitable for white beans with a $R^2$ of 0.97 or greater and RMSE of 0.0508 or less. The Thompson model was also found to be the most suitable for black beans, with a $R^2$ of 0.97 or greater and an RMSE of 0.0308 or less. Conclusions: The Thompson model was the most appropriate prediction drying model for white and black beans. Empirical constants for the Thompson model were developed in accordance with the conditions of drying temperature and relative humidity.

The Operational Procedure on Estimating Typhoon Center Intensity using Meteorological Satellite Images in KMA

  • Park, Jeong-Hyun;Park, Jong-Seo;Kim, Baek-Min;Suh, Ae-Sook
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2006년도 Proceedings of ISRS 2006 PORSEC Volume I
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    • pp.278-281
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    • 2006
  • Korea Meteorological Administration(KMA) has issued the tropical storm(typhoon) warning or advisories when it was developed to tropical storm from tropical depression and a typhoon is expected to influence the Korean peninsula and adjacent seas. Typhoon information includes current typhoon position and intensity. KMA has used the Dvorak Technique to analyze the center of typhoon and it's intensity by using available geostationary satellites' images such as GMS, GOES-9 and MTSAT-1R since 2001. The Dvorak technique is so subjective that the analysis results could be variable according to analysts. To reduce the subjective errors, QuikSCAT seawind data have been used with various analysis data including sea surface temperature from geostationary meteorological satellites, polar orbit satellites, and other observation data. On the other hand, there is an advantage of using the Subjective Dvorak Technique(SDT). SDT can get information about intensity and center of typhoon by using only infrared images of geostationary meteorology satellites. However, there has been a limitation to use the SDT on operational purpose because of lack of observation and information from polar orbit satellites such as SSM/I. Therefore, KMA has established Advanced Objective Dvorak Technique(AODT) system developed by UW/CIMSS(University of Wisconsin-Madison/Cooperative Institude for Meteorological Satellite Studies) to improve current typhoon analysis technique, and the performance has been tested since 2005. We have developed statistical relationships to correct AODT CI numbers according to the SDT CI numbers that have been presumed as truths of typhoons occurred in northwestern pacific ocean by using linear, nonlinear regressions, and neural network principal component analysis. In conclusion, the neural network nonlinear principal component analysis has fitted best to the SDT, and shown Root Mean Square Error(RMSE) 0.42 and coefficient of determination($R^2$) 0.91 by using MTSAT-1R satellite images of 2005. KMA has operated typhoon intensity analysis using SDT and AODT since 2006 and keep trying to correct CI numbers.

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지수 및 역지수 분포를 이용한 NHPP 소프트웨어 무한고장 신뢰도 모형에 관한 비교연구 (The Comparative Study of NHPP Software Reliability Model Based on Exponential and Inverse Exponential Distribution)

  • 김희철;신현철
    • 한국정보전자통신기술학회논문지
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    • 제9권2호
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    • pp.133-140
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    • 2016
  • 소프트웨어 개발과정에서 소프트웨어 신뢰성은 매우 중요한 이슈이다. 소프트웨어 고장분석을 위한 무한고장 비동질적인 포아송과정에서 고장발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 소프트웨어 신뢰성에 대한 적용 효율을 나타내는 지수 및 역지수분포를 이용한 신뢰성 모형을 비교 제안한다. 효율적인 모형을 위해 평균제곱오차(MSE), 결정계수($R^2$)에 근거한 모델선택, 최우추정법, 이분법에 사용된 파라미터를 평가하기 위한 알고리즘이 적용되였다. 제안하는 지수 및 역지수분포를 이용한 신뢰성 모형를 위해 실제 데이터을 사용한 고장분석이 적용되였다. 고장데이터 분석은 지수 및 역지수분포를 이용한 강도함수와 비교하였다. 데이터 신뢰성을 보장하기 위하여 라플라스 추세검정(Laplace trend test)을 사용하였다. 본 연구에 제안된 역지수분포 신뢰성모형도 신뢰성 측면에서 효율적이기 때문에 (결정계수가 80% 이상) 이 분야에서 기존 모형의 하나의 대안으로 사용할 수 있음을 확인 할 수 있었다. 이 연구를 통하여 소프트웨어 개발자들은 다양한 수명분포를 고려함으로서 소프트웨어 고장형태에 대한 사전지식을 파악하는데 도움을 줄 수 있으리라 사료 된다.

로그 및 지수파우어 강도함수를 이용한 NHPP 소프트웨어 무한고장 신뢰도 모형에 관한 비교연구 (The Comparative Study of NHPP Software Reliability Model Based on Log and Exponential Power Intensity Function)

  • 양태진
    • 한국정보전자통신기술학회논문지
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    • 제8권6호
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    • pp.445-452
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    • 2015
  • 소프트웨어 개발 과정에서 소프트웨어 신뢰성은 매우 중요한 이슈이다. 소프트웨어 고장분석을 위한 무한고장 비동질적인 포아송과정에서 결함당 고장발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 소프트웨어 신뢰성에 대한 적용 효율을 나타내는 로그 및 지수파우어 강도함수(로그 선형, 로그 파우어와 지수 파우어)로 신뢰성 모형을 제안한다. 효율적인 모형을 위해 평균제곱에러(MSE), 결정계수($R^2$)에 근거한 모델선택, 최우추정법, 이분법에 사용된 파라미터를 평가하기 위한 알고리즘이 적용되였다. 제안하는 로그 및 지수파우어 강도함수를 위해 실제 데이터을 사용한 고장분석이 적용되였다. 고장데이터 분석은 로그 및 지수파우어 강도함수와 비교하였다. 데이터 신뢰성을 보장하기 위하여 라플라스 추세검정(Laplace trend test)을 사용하였다. 본 연구에 제안된 로그선형과 로그파우어 및 지수파우어 신뢰성모형도 신뢰성 측면에서 효율적이기 때문에 (결정계수가 70% 이상) 이 분야에서 기존 모형의 하나의 대안으로 사용할 수 있음을 확인 할 수 있었다. 이 연구를 통하여 소프트웨어 개발자들은 다양한 강도함수를 고려함으로서 소프트웨어 고장형태에 대한 사전지식을 파악하는데 도움을 줄 수 있으리라 사료 된다.

SWAT 모형을 이용한 기후변화에 따른 만경강 유역에서의 수문 및 수질 영향 평가 (Assessing Climate Change Impacts on Hydrology and Water Quality using SWAT Model in the Mankyung Watershed)

  • 김동현;황세운;장태일;소현철
    • 한국농공학회논문집
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    • 제60권6호
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    • pp.83-96
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    • 2018
  • The objective of this study was to estimate the climate change impact on water quantity and quality to Saemanguem watershed using SWAT (Soil and water assessment tool) model. The SWAT model was calibrated and validated using observed data from 2008 to 2017 for the study watershed. The $R^2$ (Determination coefficient), RMSE (Root mean square error), and NSE (Nash-sutcliffe efficiency coefficient) were used to evaluate the model performance. RCP scenario data were produced from 10 GCM (General circulation model) and all relevant grid data including the major observation points (Gusan, Jeonju, Buan, Jeongeup) were extracted. The systematic error evaluation of the GCM model outputs was performed as well. They showed various variations based on analysis of future climate change effects. In future periods, the MIROC5 model showed the maximum values and the CMCC-CM model presented the minimum values in the climate data. Increasing rainfall amount was from 180mm to 250mm and increasing temperature value ranged from 1.7 to $5.9^{\circ}C$, respectively, compared with the baseline (2006~2017) in 10 GCM model outputs. The future 2030s and 2070s runoff showed increasing rate of 16~29% under future climate data. The future rate of change for T-N (Total nitrogen) and T-P (Total phosphorus) loads presented from -26 to +0.13% and from +5 to 47%, respectively. The hydrologic cycle and water quality from the Saemanguem headwater were very sensitive to projected climate change scenarios so that GCM model should be carefully selected for the purpose of use and the tendency analysis of GCM model are needed if necessary.

염산 운송차량의 누출공 크기와 누출률 및 영향범위간 상관관계 연구 (A Study on the Correlation between Leak Hole Size, Leak Rate, and the Influence Range for Hydrochloric Acid Transport Vehicles)

  • 전병한;김현섭
    • 한국환경보건학회지
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    • 제47권2호
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    • pp.175-181
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    • 2021
  • Objectives: The correlation between the size of a leak hole, the volume of the leakage, and the range of influence was investigated for a hydrochloric acid tank-lorry. Methods: For the case of a tank-lorry chemical accident, KORA (Korea Off-site Risk Assessment Supporting Tool) was used to predict the leak rate and the range of influence according to the size of the leak hole. The correlation was studied using R. Results: As a result of analyzing the leak rate change according to the leak hole size in a 35% hydrochloric acid tank-lorry, as the size of the leak hole increased from 1 to 100 mm, the leak rate increased from 0.008 to 83.94 kg/sec, following the power function. As a result of calculating the range of influence under conditions ranging from 1 to 100 mm in size and 10 to 60 minutes of leakage time, it was found that the range spanned from a minimum of 5.4 m to a maximum of 307.9 m. As a result of multiple regression analysis using R, the quadratic function model best explained the correlation between the size of the leak hole, the leak time, and the range of influence with an adjected coefficient of determination of 0.97 and a root mean square error of 22.33. Conclusion: If a correlation database for the size of a leak hole is accumulated for various substances and under various conditions, the amount of leakage and the range of influence can easily be calculated, facilitating field response activities.

A Response Surface Model Based on Absorbance Data for the Growth Rates of Salmonella enterica Serovar Typhimurium as a Function of Temperature, NaCl, and pH

  • Park, Shin-Young;Seo, Kyo-Young;Ha, Sang-Do
    • Journal of Microbiology and Biotechnology
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    • 제17권4호
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    • pp.644-649
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    • 2007
  • Response surface model was developed for predicting the growth rates of Salmonella enterica sv. Typhimurium in tryptic soy broth (TSB) medium as a function of combined effects of temperature, pH, and NaCl. The TSB containing six different concentrations of NaCl (0, 2, 4, 6, 8, and 10%) was adjusted to an initial of six different pH levels (pH 4, 5, 6, 7, 8, 9, and 10) and incubated at 10 or $20^{\circ}C$. In all experimental variables, the primary growth curves were well $(r^2=0.900\;to\;0.996)$ fitted to a Gompertz equation to obtain growth rates. The secondary response surface model for natural logarithm transformations of growth rates as a function of combined effects of temperature, pH, and NaCl was obtained by SAS's general linear analysis. The predicted growth rates of the S. Typhimurium were generally decreased by basic (9, 10) or acidic (5, 6) pH levels or increase of NaCl concentrations (0-8%). Response surface model was identified as an appropriate secondary model for growth rates on the basis of coefficient determination $(r^2=0.960)$, mean square error (MSE=0.022), bias factor $(B_f=1.023)$, and accuracy factor $(A_f=1.164)$. Therefore, the developed secondary model proved reliable predictions of the combined effect of temperature, NaCl, and pH on growth rates for S. Typhimurium in TSB medium.