[논문]SMOTE를 이용한 편중된 횡 분산계수 데이터에 대한 추정식 개발

이선미; 윤태원; 박인환

doi:10.3741/jkwra.2021.54.12.1305

SMOTE를 이용한 편중된 횡 분산계수 데이터에 대한 추정식 개발
Development of empirical formula for imbalanced transverse dispersion coefficient data set using SMOTE 원문보기

Journal of Korea Water Resources Association = 한국수자원학회논문집, v.54 no.12, 2021년, pp.1305 - 1316

이선미 (서울과학기술대학교 건설시스템공학과) , 윤태원 (서울과학기술대학교 건설시스템공학과) , 박인환 (서울과학기술대학교 건설시스템공학과)

초록
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본 연구에서는 과거 추적자실험결과를 이용하여 2차원 횡분산계수에 대한 새로운 추정식을 개발하고 추정식을 이용한 횡 분산계수 산정결과의 정확도를 검증했다. 다수의 추적자실험이 하폭 대 수심비가 50보다 작은 조건에서 수행되었기 때문에 기존 추적자실험결과만을 이용하여 개발한 추정식은 하폭 대 수심비가 50보다 큰 조건의 하천에 적용하는데 한계를 보인다. 따라서 특정 수리조건에 편중된 횡 분산계수 자료로부터 횡 분산계수 추정식을 개발하기 위해 SMOTE (Synthetic Minority Oversampling TEchnique)를 적용하여 기존 자료의 특성을 반영한 새로운 데이터를 생성했다. SMOTE 기법으로 하폭 대 수심비가 50보다 큰 조건에 대한 수리량과 횡 분산계수 데이터를 생성하였으며, ROC (Receiver Operating Characteristic) 곡선으로부터 생성된 데이터의 신뢰성을 검증했다. 새롭게 생성된 데이터를 포함하여 횡 분산계수 추정식을 개발했고, 추정식을 이용하여 계산한 횡 분산계수의 R²(결정계수)를 계산하여 기존 연구에서 제안한 추정식과의 정확도를 비교했다. 그 결과, 본 연구에서 개발한 추정식을 이용하여 계산한 횡 분산계수의 R²가 W/H < 50인 조건에서 0.81, 50 < W/H 인 조건에서 0.92를 나타내어 기존 추정식과 비교하여 향상된 정확도를 나타냈다.

Abstract ▼ AI-Helper

In this study, a new empirical formula for 2D transverse dispersion coefficient was developed using the results of previous tracer test studies, and the performance of the formula was evaluated. Since many tracer test studies have been conducted under the conditions where the width-to-depth ratio is less than 50, the existing empirical formulas developed using these imbalanced tracer test results have limitations in applying to rivers with a width-to-depth ratio greater than 50. Therefore, in order to develop an empirical formula for transverse dispersion coefficient using the imbalanced tracer test data, the Synthetic Minority Oversampling TEchnique (SMOTE) was used to oversample new data representing the properties of the existing tracer test data. The hydraulic data and the transverse dispersion coefficients in conditions of width-to-depth ratio greater than 50 were oversampled using the SMOTE. The reliability of the oversampled data was evaluated using the ROC (Receiver Operating Characteristic) curve. The empirical formula of transverse dispersion coefficient was developed including the oversampled data, and the performance of the results were compared with the empirical formulas suggested in previous studies using R2. From the comparison results, the value of R2 was 0.81 for the range of W/H < 50 and 0.92 for 50 < W/H, which were improved accuracy compared to the previous studies.

주제어

표/그림 (12)

그림 Fig. 1. Flow chart of the research method for estimating transverse dispersion coefficient using SMOTE
그림 Fig. 2. Relations between the dimensionless transverse dispersion coefficient and the hydraulic parameters
표 Table 1. Empirical formulas for transverse dispersion coefficient using tracer test results
그림 Fig. 3. Conceptual diagram of the K-Nearest Neighbors technique for data oversampling
그림 Fig. 4. Conceptual diagram of the ROC curve and the AUC
그림 Fig. 5. Confusion Matrix for ROC curve
그림 Fig. 6. Relations between the oversampled dimensionless transverse dispersion coefficient and the hydraulic parameters
그림 Fig. 7. Results of ROC curves and AUCs
그림 Fig. 8. Variations of the transverse dispersion coefficients against to the non-dimensional parameters
그림 Fig. 9. Comparisons of the transverse dispersion coefficient formulas
그림 Fig. 10. R² of the proposed empirical formulas of the transverse dispersion coefficient (W/H < 50)
그림 Fig. 11. R² of the proposed empirical formulas of the transverse dispersion coefficient (W/H > 50)

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