arXiv:2603.18107cs.LGcs.AI2026-03被引 1

让深度学习模型懂经济规律,自动避免套利漏洞。

ARTEMIS: A Neuro Symbolic Framework for Economically Constrained Market Dynamics

  • 用神经符号框架融合物理约束与可解释规则
  • 在合成暴跌数据集上准确率达64.96%,优于所有基线
  • 适合需要透明决策的量化金融场景

量化金融中的深度学习模型常为黑箱,缺乏可解释性且未融入无套利等经济原则。本文提出ARTEMIS(无套利表示通过经济模型与可解释符号),结合连续时间拉普拉斯神经算子编码器、基于物理信息损失正则化的神经随机微分方程,以及可微分的符号瓶颈,提炼出可解释的交易规则。模型通过两项新正则化项确保经济合理性:费曼-卡茨偏微分方程残差惩罚局部无套利违规,市场风险溢价惩罚限制瞬时夏普比率。在Jane Street、Optiver、Time-IMM和DSLOB(合成崩盘情景)四个数据集上评估,结果显示ARTEMIS在DSLOB上方向准确率达64.96%,在Time-IMM上达96.0%,均优于所有基线。消融实验表明:移除PDE损失后准确率从64.89%降至50.32%。Optiver表现不佳归因于长序列长度及以波动率为目标。ARTEMIS通过提供经济合理且可解释的预测,弥合了深度学习能力与量化金融对透明性的需求之间的差距。

原文摘要 · Abstract (English)

Deep learning models in quantitative finance often operate as black boxes, lacking interpretability and failing to incorporate fundamental economic principles such as no-arbitrage constraints. This paper introduces ARTEMIS (Arbitrage-free Representation Through Economic Models and Interpretable Symbolics), a novel neuro-symbolic framework combining a continuous-time Laplace Neural Operator encoder, a neural stochastic differential equation regularised by physics-informed losses, and a differentiable symbolic bottleneck that distils interpretable trading rules. The model enforces economic plausibility via two novel regularisation terms: a Feynman-Kac PDE residual penalising local no-arbitrage violations, and a market price of risk penalty bounding the instantaneous Sharpe ratio. We evaluate ARTEMIS against six strong baselines on four datasets: Jane Street, Optiver, Time-IMM, and DSLOB (a synthetic crash regime). Results demonstrate ARTEMIS achieves state-of-the-art directional accuracy, outperforming all baselines on DSLOB (64.96%) and Time-IMM (96.0%). A comprehensive ablation study confirms each component's contribution: removing the PDE loss reduces directional accuracy from 64.89% to 50.32%. Underperformance on Optiver is attributed to its long sequence length and volatility-focused target. By providing interpretable, economically grounded predictions, ARTEMIS bridges the gap between deep learning's power and the transparency demanded in quantitative finance.

金融建模神经符号无套利

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