• Title/Summary/Keyword: 선형 회귀 모델

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Object Size Prediction based on Statistics Adaptive Linear Regression for Object Detection (객체 검출을 위한 통계치 적응적인 선형 회귀 기반 객체 크기 예측)

  • Kwon, Yonghye;Lee, Jongseok;Sim, Donggyu
    • Journal of Broadcast Engineering
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    • v.26 no.2
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    • pp.184-196
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    • 2021
  • This paper proposes statistics adaptive linear regression-based object size prediction method for object detection. YOLOv2 and YOLOv3, which are typical deep learning-based object detection algorithms, designed the last layer of a network using statistics adaptive exponential regression model to predict the size of objects. However, an exponential regression model can propagate a high derivative of a loss function into all parameters in a network because of the property of an exponential function. We propose statistics adaptive linear regression layer to ease the gradient exploding problem of the exponential regression model. The proposed statistics adaptive linear regression model is used in the last layer of the network to predict the size of objects with statistics estimated from training dataset. We newly designed the network based on the YOLOv3tiny and it shows the higher performance compared to YOLOv3 tiny on the UFPR-ALPR dataset.

Robust ridge regression for nonlinear mixed effects models with applications to quantitative high throughput screening assay data (비선형 혼합효과모형에서의 로버스트 능형회귀 방법과 정량적 고속 대량 스크리닝 자료에의 응용)

  • Yoo, Jiseon;Lim, Changwon
    • The Korean Journal of Applied Statistics
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    • v.31 no.1
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    • pp.123-137
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    • 2018
  • A nonlinear mixed effects model is mainly used to analyze repeated measurement data in various fields. A nonlinear mixed effects model consists of two stages: the first-stage individual-level model considers intra-individual variation and the second-stage population model considers inter-individual variation. The individual-level model, which is the first stage of the nonlinear mixed effects model, estimates the parameters of the nonlinear regression model. It is the same as the general nonlinear regression model, and usually estimates parameters using the least squares estimation method. However, the least squares estimation method may have a problem that the estimated value of the parameters and standard errors become extremely large if the assumed nonlinear function is not explicitly revealed by the data. In this paper, a new estimation method is proposed to solve this problem by introducing the ridge regression method recently proposed in the nonlinear regression model into the first-stage individual-level model of the nonlinear mixed effects model. The performance of the proposed estimator is compared with the performance with the standard estimator through a simulation study. The proposed methodology is also illustrated using quantitative high throughput screening data obtained from the US National Toxicology Program.

A study of Battery User Pattern Change tracking method using Linear Regression and ARIMA Model (선형회귀 및 ARIMA 모델을 이용한 배터리 사용자 패턴 변화 추적 연구)

  • Park, Jong-Yong;Yoo, Min-Hyeok;Nho, Tae-Min;Shin, Dae-Kyeon;Kim, Seong-Kweon
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.3
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    • pp.423-432
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    • 2022
  • This paper addresses the safety concern that the SOH of batteries in electric vehicles decreases sharply when drivers change or their driving patterns change. Such a change can overload the battery, reduce the battery life, and induce safety issues. This paper aims to present the SOH as the changes on a dashboard of an electric vehicle in real-time in response to user pattern changes. As part of the training process I used battery data among the datasets provided by NASA, and built models incorporating linear regression and ARIMA, and predicted new battery data that contained user changes based on previously trained models. Therefore, as a result of the prediction, the linear regression is better at predicting some changes in SOH based on the user's pattern change if we have more battery datasets with a wide range of independent values. The ARIMA model can be used if we only have battery datasets with SOH data.

A Study of the Nonlinear Characteristics Improvement for a Electronic Scale using Multiple Regression Analysis (다항식 회귀분석을 이용한 전자저울의 비선형 특성 개선 연구)

  • Chae, Gyoo-Soo
    • Journal of Convergence for Information Technology
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    • v.9 no.6
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    • pp.1-6
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    • 2019
  • In this study, the development of a weight estimation model of electronic scale with nonlinear characteristics is presented using polynomial regression analysis. The output voltage of the load cell was measured directly using the reference mass. And a polynomial regression model was obtained using the matrix and curve fitting function of MS Office Excel. The weight was measured in 100g units using a load cell electronic scale measuring up to 5kg and the polynomial regression model was obtained. The error was calculated for simple($1^{st}$), $2^{nd}$ and $3^{rd}$ order polynomial regression. To analyze the suitability of the regression function for each model, the coefficient of determination was presented to indicate the correlation between the estimated mass and the measured data. Using the third order polynomial model proposed here, a very accurate model was obtained with a standard deviation of 10g and the determinant coefficient of 1.0. Based on the theory of multi regression model presented here, it can be used in various statistical researches such as weather forecast, new drug development and economic indicators analysis using logistic regression analysis, which has been widely used in artificial intelligence fields.

Multi-objective Genetic Algorithm for Variable Selection in Linear Regression Model and Application (선형회귀모델의 변수선택을 위한 다중목적 유전 알고리즘과 응용)

  • Kim, Dong-Il;Park, Cheong-Sool;Baek, Jun-Geol;Kim, Sung-Shick
    • Journal of the Korea Society for Simulation
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    • v.18 no.4
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    • pp.137-148
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    • 2009
  • The purpose of this study is to implement variable selection algorithm which helps construct a reliable linear regression model. If we use all candidate variables to construct a linear regression model, the significance of the model will be decreased and it will cause 'Curse of Dimensionality'. And if the number of data is less than the number of variables (dimension), we cannot construct the regression model. Due to these problems, we consider the variable selection problem as a combinatorial optimization problem, and apply GA (Genetic Algorithm) to the problem. Typical measures of estimating statistical significance are $R^2$, F-value of regression model, t-value of regression coefficients, and standard error of estimates. We design GA to solve multi-objective functions, because statistical significance of model is not to be estimated by a single measure. We perform experiments using simulation data, designed to consider various kinds of situations. As a result, it shows better performance than LARS (Least Angle Regression) which is an algorithm to solve variable selection problems. We modify algorithm to solve portfolio selection problem which construct portfolio by selecting stocks. We conclude that the algorithm is able to solve real problems.

Mixed Approach for Fast System-Level Power Analysis based on Regression Analysis (시스템 수준의 전력 예측을 위한 회귀분석에 기반하는 분석 방법)

  • 김희석;임채석;하순회
    • Proceedings of the Korean Information Science Society Conference
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    • 2002.10c
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    • pp.694-696
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    • 2002
  • 이 논문에서는 시스템 수준의 전력 소모를 분석하는 방법론을 설명한다. 응용의 시스템 수준 전력 모델을 구하기 위해서, 시스템을 이루는 각 부분들을 선형적으로 모델링하고, 이를 모두 더한다. 선형적으로 모델링된 식의 파라메터들을 구하기 위해서, 회귀분석에 기반한 분석을 한다. 이를 위해서 다양한 벤치마크들을 준비하고, 응용에 대해서 측정을 한 것과 수정된 시뮬레이터에서 필요한 정보를 얻어야 한다. 이렇게 분석한 전력 모델의 예측치는 5% 내의 정확도를 가짐을 확인하였다.

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Fault Detection and Diagnosis (FDD) Using Nonlinear Regression Models for Heat Exchanger Faults in Heat Pump System (비선형회귀모델을 이용한 히트펌프시스템의 열교환기 고장에 대한 고장감지 및 진단에 대한 연구)

  • Kim, Hak-Soo;Kim, Min-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.11
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    • pp.1111-1117
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    • 2011
  • This paper proposed a fault detection and diagnosis (FDD) algorithm using nonlinear regression models, focusing especially on heat exchanger faults. This research concerned four working modes: those with no fault, evaporator fault, condenser fault, and evaporator and condenser faults. This research used no fault mode data to create an FDD algorithm. Using the no fault mode data, correlation functions for predicting the degree of superheat or subcool of heat exchangers (an evaporator and a condenser) were derived. Each correlation function has five inputs and one output. Based on these correlation functions, it is possible to predict the degree of superheat or subcool of each heat exchanger under various working conditions. The FDD algorithm was developed by comparing the predicted value and the simulation value. The FDD algorithm works well in all four working modes.

Various Models of Fuzzy Least-Squares Linear Regression for Load Forecasting (전력수요예측을 위한 다양한 퍼지 최소자승 선형회귀 모델)

  • Song, Kyung-Bin
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.7
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    • pp.61-67
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    • 2007
  • The load forecasting has been an important part of power system Accordingly, it has been proposed various methods for the load forecasting. The load patterns of the special days is quite different than those of ordinary weekdays. It is difficult to accurately forecast the load of special days due to the insufficiency of the load patterns compared with ordinary weekdays, so we have proposed fuzzy least squares linear regression algorithm for the load forecasting. In this paper we proposed four models for fuzzy least squares linear regression. It is separated by coefficients of fuzzy least squares linear regression equation. we compared model of H1 with H4 and prove it H4 has accurately forecast better than H1.

Annual Cycle of PCBs Concentration in the Atmosphere

  • Kang, Byung-Wook;Shin, Eun-Sang;Yeo, Hyun-Gu
    • Journal of environmental and Sanitary engineering
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    • v.22 no.2
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    • pp.61-73
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    • 2007
  • PCBs의 대기 중 농도는 고용량 PUF sampler를 이용하여 2000년부터 2002년까지 주 1회 수도권 인근지역인 경기도 안성에서 측정하였다. 본 논문은 비선형 회귀모델을 이용하여 대기 중 가스상 PCBs의 연간, 월간 사이클을 평가 하고자 한다. Clausius-Clepeyron 식을 이용한 가스상 PCBs의 기울기는 고분자로 갈수록 증가하는 경향이었다. 이는 고분자 PCBs는 저분자 PCBs에 비해 온도 의존성이 크다는 것을 의미한다. 다시 말해, 고분자 PCBs는 다른 지역에서 장거리 이송되어 오는 오염물질의 영향 보다는 지역적인 오염원(예, 토양, 수계 등)에 의해 영향을 크게 받고 있다는 것을 시사한다. Lorentzian 모델을 이용한 총 PCBs의 일별, 월별 회귀식의 결정계수($R^2$)는 각각 0.62(p<0.0001), 0.88(p<0.0001)로 나타나 유의한 결과를 보였다. 또한, 비선형 회귀식 모델을 활용하여 구한 가스상 PCBs의 일별, 월별 싸이클을 모사한 방정식도 매우 유의한 결과(p<0.0001)를 나타내었다.

Development of AI Education Program for Prediction System Based on Linear Regression for Elementary School Students (선형회귀모델 기반의 초등학생용 인공지능 예측 시스템 교육 프로그램의 개발)

  • Lee, Soo Jeong;Moon, Gyo Sik
    • 한국정보교육학회:학술대회논문집
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    • 2021.08a
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    • pp.51-57
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    • 2021
  • Quite a few elementary school teachers began to utilize AI technology in order to provide students with customized, intelligent information services in recent years. However, learning principles of AI may be as important as utilizing AI in everyday life because understanding principles of AI can empower them to buildup adaptability to changes in highly technological world. In the paper, 'Linear Regression Algorithm' is selected for teaching AI-based prediction system to solve real world problems suitable for elementary students. A simulation program written in Scratch was developed so that students can find a solution of linear regression model using the program. The paper shows that students have learned analyzing data as well as comparing the accuracy of the prediction model. Also, they have shown the ability to solve real world problems by finding suitable prediction models.

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