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基于Huber损失函数的稳健随机森林模型及应用OACHSSCD

Robust Random Forest Model Based on Huber Loss Function and Its Application

中文摘要英文摘要

随着人工智能技术的发展,随机森林模型在众多领域中得到了快速发展和广泛应用.但在处理实际问题时,传统的随机森林模型易受厚尾数据、异常值等因素影响,导致估计出现偏差.鉴于此,文章提出基于Huber损失函数的稳健随机森林模型,并给出了估计算法、变量重要性测度方法及偏相依关系测度方法.该模型利用Huber损失函数的优势,在处理具有偏态分布或异常值的数据时具有更好的稳健性,且能更好地降低极端异常值对模型估计的不良影响.数值模拟结果表明:在处理具有偏态分布或异常值的数据时,基于Huber损失函数的稳健随机森林模型在预测性能上显著优于均值回归森林模型和中位数回归森林模型.将基于Huber损失函数的稳健随机森林模型应用于中国县域数字金融与农民收入数据集中,结果表明,所提方法比传统的随机森林模型具有更好的稳健性和更强的预测能力.

With the development of artificial intelligence technology,random forest model has been rapidly developed and widely used in many fields.However,in practical problems,the traditional random forest model is vulnerable to heavy-tailed data-sets or outliers,resulting in estimation bias.In view of this,this paper proposes a robust random forest model based on Huber loss function(HuberRF),and gives the estimation algorithm,variable importance measurement method,and partial dependence rela-tionship measurement method.With the advantage of Huber loss function,this model has better robustness when dealing with data with skewed distribution or outliers,and can better weaken the adverse impact of extreme outliers on model estimation.The nu-merical simulation results show that when dealing with data with skewed distribution or outliers,the robust random forest model based on Huber loss function significantly outperforms the mean regression forest model and the median regression forest model in terms of prediction performance.When the robust random forest model based on Huber loss function is applied to the data set of China's county digital finance and farmers'income,the results indicate that the proposed method has better robustness and great-er prediction ability than the traditional random forest models.

蔡超;胡成翔

山东工商学院 统计学院,山东 烟台 264005山东工商学院 统计学院,山东 烟台 264005

数理科学

随机森林模型Huber损失函数预测误差稳健性

random forest modelHuber loss functionprediction errorrobustness

《统计与决策》 2026 (5)

47-53,7

国家社会科学基金资助项目(24BTJ055)山东省社会科学规划项目(24CTJJ03)

10.13546/j.cnki.tjyjc.2026.05.008

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