QuantFactor REINFORCE: Mining Steady Formulaic Alpha Factors with Variance-bounded REINFORCE

Junjie Zhao, Chengxi Zhang, Min Qin, Peng Yang
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Abstract

The goal of alpha factor mining is to discover indicative signals of investment opportunities from the historical financial market data of assets. Deep learning based alpha factor mining methods have shown to be powerful, which, however, lack of the interpretability, making them unacceptable in the risk-sensitive real markets. Alpha factors in formulaic forms are more interpretable and therefore favored by market participants, while the search space is complex and powerful explorative methods are urged. Recently, a promising framework is proposed for generating formulaic alpha factors using deep reinforcement learning, and quickly gained research focuses from both academia and industries. This paper first argues that the originally employed policy training method, i.e., Proximal Policy Optimization (PPO), faces several important issues in the context of alpha factors mining, making it ineffective to explore the search space of the formula. Herein, a novel reinforcement learning based on the well-known REINFORCE algorithm is proposed. Given that the underlying state transition function adheres to the Dirac distribution, the Markov Decision Process within this framework exhibit minimal environmental variability, making REINFORCE algorithm more appropriate than PPO. A new dedicated baseline is designed to theoretically reduce the commonly suffered high variance of REINFORCE. Moreover, the information ratio is introduced as a reward shaping mechanism to encourage the generation of steady alpha factors that can better adapt to changes in market volatility. Experimental evaluations on various real assets data show that the proposed algorithm can increase the correlation with asset returns by 3.83%, and a stronger ability to obtain excess returns compared to the latest alpha factors mining methods, which meets the theoretical results well.
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QuantFactor REINFORCE:利用有方差限制的 REINFORCE 挖掘稳定的公式化阿尔法因子
阿尔法因子挖掘的目标是从资产的历史金融市场数据中发现投资机会的指示性信号。基于深度学习的阿尔法因子挖掘方法已被证明是强大的,但缺乏可解释性,使其在风险敏感的真实市场中无法被接受。公式化形式的阿尔法因子更具可解释性,因此受到市场参与者的青睐,而搜索空间非常复杂,因此需要强大的探索方法。最近,一个利用深度强化学习生成公式化阿尔法因子的框架被提出,并迅速得到了学术界和产业界的研究关注。本文首先指出,在阿尔法因子挖掘方面,最初采用的策略训练方法,即近端策略优化(PPO),面临着几个重要问题,使其无法有效探索公式的搜索空间。在此,我们提出了一种基于著名的 REINFORCE 算法的新型强化学习方法。鉴于底层状态转换函数遵循狄拉克分布,该框架内的马尔科夫决策过程表现出最小的环境可变性,使得REINFORCE算法比PPO更合适。为了从理论上降低 REINFORCE 算法普遍存在的高方差,我们设计了一个新的专用基线。此外,还引入了信息比率作为前向塑造机制,以鼓励生成稳定的阿尔法因子,从而更好地适应市场波动的变化。在各种真实资产数据上的实验评估表明,与最新的阿尔法因子挖掘方法相比,所提出的算法与资产收益的相关性提高了 3.83%,获得超额收益的能力更强,很好地满足了理论结果。
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