用于降低交易策略优化过拟合的GT-Score
文章 arXiv papers · 作者: Alexander Sheppert
总结
本文介绍GT-Score,一种用于优化数据驱动交易策略的综合目标函数。它结合表现、统计显著性、一致性和下行风险指标,旨在减少对历史数据过度拟合的选择。其研究动机是,重复测试可能产生虚假模式,而且当收益不服从正态分布时,常见统计推断可能并不可靠。
实证研究使用50家标普500成分公司的2010至2024年历史数据。研究对三种策略进行评估,采用九个顺序滚动前向划分,并使用15个随机种子开展蒙特卡洛研究。作者报告称,与基准目标函数相比,采用GT-Score时验证集与训练集回报之比更高;配对检验发现,该方法与Sortino和Simple目标函数之间存在可检测的差异,但效应量较小。这些结果支持进一步研究该目标函数,但证据仅限于所述股票、策略和评估设计。更高的泛化比率本身并不能保证部署后盈利,也无法消除模型和执行风险的所有来源。
核心观点
- GT-Score综合考虑表现、显著性、一致性和下行风险。
- 其设计旨在应对数据窥探,以及收益非正态时统计推断较弱的问题。
- 评估采用滚动前向验证,并对三种策略开展蒙特卡洛研究。
- 据报告,差异的效应量较小,且证据仅覆盖有限的历史样本。
标签
全文
# The GT-Score: A Robust Objective Function for Reducing Overfitting in Data-Driven Trading Strategies # The GT-Score: A Robust Objective Function for Reducing Overfitting in Data-Driven Trading Strategies Overfitting remains a critical challenge in data-driven financial modeling, where machine learning (ML) systems learn spurious patterns in historical prices and fail out of sample and in deployment. This paper introduces the GT-Score, a composite objective function that integrates performance, statistical significance, consistency, and downside risk to guide optimization toward more robust trading strategies. This approach directly addresses critical pitfalls in quantitative strategy development, specifically data snooping during optimization and the unreliability of statistical inference under non-normal return distributions. Using historical stock data for 50 S&P 500 companies spanning 2010-2024, we conduct an empirical evaluation that includes walk-forward validation with nine sequential time splits and a Monte Carlo study with 15 random seeds across three trading strategies. In walk-forward validation, GT-Score improves the generalization ratio (validation return divided by training return) by 98% relative to baseline objective functions. Paired statistical tests on Monte Carlo out-of-sample returns indicate statistically detectable differences between objective functions (p < 0.01 for comparisons with Sortino and Simple), with small effect sizes. These results suggest that embedding an anti-overfitting structure into the objective can improve the reliability of backtests in quantitative research. Reproducible code and processed result files are provided as supplementary materials.
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