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利用算法博弈论改进监督机器学习:洪水易感性制图中的一种新颖适用性方法。

Using algorithmic game theory to improve supervised machine learning: A novel applicability approach in flood susceptibility mapping.

机构信息

Department of Watershed Management Engineering, Faculty of Natural Resources and Marine Sciences, Tarbiat Modares University, Noor, 46414-356, Iran.

出版信息

Environ Sci Pollut Res Int. 2024 Aug;31(40):52740-52757. doi: 10.1007/s11356-024-34691-y. Epub 2024 Aug 19.

Abstract

This study was carried out with the aim of applying Condorcet and Borda scoring algorithms based on Game Theory (GT) to determine flood points and Flood Susceptibility Mapping (FSM) based on Machine Learning Algorithms (MLA) including Random Forest (RF), Support Vector Regression (SVR), Support Vector Machine (SVM), and K-Nearest Neighbors (KNN) in the Cheshmeh-Kileh watershed, Iran. Therefore, first, FS conditioning factors including Aspect (A), Elevation (E), Euclidean distance (Euc), Forest (F), NDVI, Precipitation (P), Plan Curvature (PC), Profile Curvature (PC), Residential (R), Rangeland (R), Slope (S), Stream Power Index (SPI), Topographic Position Index (TPI), and Topographic Wetness Index (TWI) were quantified in each Sub-Watershed (SW). Based on this, flood and non-flood points were identified based on both GT algorithms. In the following, MLAs including Random Forest (RF), Support Vector Regression (SVR), Support Vector Machines (SVM), and K-Nearest Neighbors (KNN) were used for the distributional mapping of FS. Finally, based on optimal conjunct approaches, FS maps were presented in the study watershed. Based on the results, among the conjunct algorithms in FS classification, RF-Condorcet and RF-Borda models were selected as the most optimal MLA-GT hybrid models. The upstream SWs were highly susceptible. Also, the effectiveness of NDVI and forest conditioning factors in each classification approach was high. The similarity of SW prioritization based on Condorcet algorithm with RF-Condorcet algorithm was about 86.70%. Meanwhile, the degree of similarity in RF-Borda conjunct algorithm was around 73.33%. These results showed that Condorcet algorithm had an optimal classification compared to Borda scoring algorithm.

摘要

本研究旨在应用基于博弈论 (GT) 的 Condorcet 和 Borda 评分算法,以及基于机器学习算法 (MLA) 的洪水点确定和洪水易感性制图,包括随机森林 (RF)、支持向量回归 (SVR)、支持向量机 (SVM) 和 K 最近邻 (KNN),在伊朗 Cheshmeh-Kileh 流域进行。因此,首先,在每个子流域 (SW) 中量化了 FS 条件因素,包括方位 (A)、海拔 (E)、欧几里得距离 (Euc)、森林 (F)、NDVI、降水 (P)、平面曲率 (PC)、剖面曲率 (PC)、住宅 (R)、牧场 (R)、坡度 (S)、溪流功率指数 (SPI)、地形位置指数 (TPI) 和地形湿度指数 (TWI)。在此基础上,基于这两种 GT 算法确定了洪水和非洪水点。接下来,使用包括随机森林 (RF)、支持向量回归 (SVR)、支持向量机 (SVM) 和 K 最近邻 (KNN) 在内的 MLA 对 FS 进行分布制图。最后,基于最优结合方法,在研究流域展示了 FS 地图。结果表明,在 FS 分类的结合算法中,RF-Condorcet 和 RF-Borda 模型被选为最佳的 MLA-GT 混合模型。上游 SW 高度敏感。此外,在每种分类方法中,NDVI 和森林条件因素的有效性都很高。基于 Condorcet 算法的 SW 优先级与 RF-Condorcet 算法的相似性约为 86.70%。同时,RF-Borda 结合算法的相似性约为 73.33%。这些结果表明,Condorcet 算法的分类效果优于 Borda 评分算法。

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