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基于多元函数型聚类和深度强化学习的最优资产配置策略OA

Optimal Asset Allocation Strategy Based on Multivariate Functional Clustering and Deep Reinforcement Learning

中文摘要英文摘要

综合利用多元函数型聚类、深度学习及深度强化学习技术,提出了一种最优资产配置新方法.利用多元函数型聚类方法对可供交易的股票资产池进行聚类;对每只股票利用具有时间序列特征提取能力的LSTM-非平稳Transformer模型进行收益率预测;在聚类所得的不同股票池中基于收益率预测信息分别进行优质资产筛选;基于从每类股票池中筛选的代表性资产及其预测信息,分别利用优势演员-评论家、近端策略优化和软演员-评论家三种深度强化学习方法构建动态最优资产配置模型.分别以中国上证50指数和美国纳斯达克100指数的成分股为研究对象进行资产配置.实证结果表明,通过函数型聚类进行资产筛选能够有效降低非系统性风险对资产配置绩效的影响.通过在深度强化学习模型中引入收益率预测信息,能够显著提高资产配置的盈利能力并带来稳健的可持续性回报.通过与最大夏普比率模型、等权重模型以及大盘指数比较,提出的模型表现出更优的投资绩效.

This paper proposes a novel optimal asset allocation method by comprehensively using multivariate functional clustering,deep learning,and deep reinforcement learning techniques.Firstly,the multivariate functional clustering method is used to cluster the available stock assets in the trading pool.Secondly,the LSTM-Non-stationary Transformer model with time series feature extraction capabilities is applied to predict the return of each stock.Next,based on the return prediction information,high-quality assets are selected from each clustered stock pool.Finally,dynamic optimal asset allocation models are constructed using three deep reinforcement learning methods:advantage actor-critic,proximal policy optimization,and soft actor-critic,based on the representative assets selected from each stock pool and their prediction information.This asset allocation strategy is implemented using the constituent stocks of the Shanghai Stock Exchange 50 Index and the Nasdaq 100 Index.The empirical results show that asset screening through functional clustering can effectively reduce the impact of non-systematic risk on asset allocation performance.By incorporating return prediction information into the deep reinforcement learning models,the profitability of asset allocation can be significantly improved,and robust,sustainable returns can be achieved.Furthermore,compared with the maximum Sharpe ratio model,the equal-weight model,and the market index,the proposed model demonstrates superior investment performance.

孙景云;贺哲;姚晓红

兰州财经大学 统计与数据科学学院,兰州 730020兰州财经大学 统计与数据科学学院,兰州 730020兰州财经大学 统计与数据科学学院,兰州 730020

信息技术与安全科学

多元函数型聚类半非负矩阵分解LSTM-非平稳Transformer模型深度强化学习资产配置优化

multivariate functional clusteringsemi-nonnegative matrix factorizationLSTM-non-stationary Transformer modeldeep reinforcement learningasset allocation optimization

《计算机科学与探索》 2026 (6)

1746-1768,23

国家自然科学基金(72061020)甘肃省自然科学基金(25JRRA979)甘肃省"飞天学者"特聘教授项目兰州财经大学金融统计科研融合团队项目(XKKYRHTD202304)甘肃省科技重大专项计划(24ZDWA007). This work was supported by the National Natural Science Foundation of China(72061020),the Natural Science Foundation of Gansu Province(25JRRA979),the Gansu Province"Feitian Scholar"Distinguished Professor Program,the Project of Financial Statistics Research Integration Team of Lanzhou University of Finance and Economics(XKKYRHTD202304),and the Gansu Provincial Major Science and Technology Special Project(24ZDWA007).

10.3778/j.issn.1673-9418.2507069

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