arXiv:2607.22491cs.LG2026-07

提出可响应市场状态的波动率预测架构,提升准确性。

Susceptible Reservoir Architectures for Regime-Conditional Volatility Forecasting

  • 设计能感知市场状态的储层结构,动态捕捉波动特征
  • 在IWM、XLP等资产上显著优于GARCH模型(QLIKE提升)
  • 适合关注金融风险建模与多状态预测的研究者

波动率预测受持久性与测量噪声主导,留给非线性模型可利用的残余结构有限。本文提出适用于波动率预测的易感架构(SUSA),包含基于复值开链与周期性储层的两种实现,并引入分状态专家机制,以解析平静、启动、恢复及持续压力状态下的储层特征。同时在Qiskit中实现开系统q-qubit版本,保持统一的AR-Ridge基准与受限残差校正,训练目标为QLIKE。在16个美国股票及交易所交易基金序列上评估,采用三个不重叠的时间划分训练/验证/测试集,输入窗口12个观测值,预测范围5个观测值。所提模型表现媲美GARCH,在特定资产(IWM、XLP)上实现统计显著的QLIKE改进;其预测还与HARQ风格互补:堆叠集成模型使平均QLIKE提升0.0116,且在75%测试场景中胜出。

原文摘要 · Abstract (English)

Volatility forecasting is dominated by persistence and measurement noise, leaving limited residual structure for nonlinear models to exploit. We introduce Susceptible Architectures (SUSA), a reservoir-design principle for volatility forecasting, and its two concrete implementations, based on complex-valued open-chain and periodic reservoirs and regime-conditioned experts to interpret reservoir features across calm, onset, recovery, and persistent-stress states. We also implement open-system $q$-qubit counterparts in Qiskit while retaining a common AR-Ridge anchor and a bounded residual correction trained under QLIKE. We evaluate models on 16 U.S. equity and exchange-traded-fund series using three disjoint chronological training, validation, and test folds, a 12-observation input window, and a five-observation forecast horizon. The proposed models perform competitively with GARCH, achieving statistically significant QLIKE improvements for specific assets (IWM, XLP). Also models' forecasts complement HARQ-style predictions: a stacked ensemble improves mean QLIKE by 0.0116 over its strongest constituent and wins in 75% of test scenarios.

波动率预测储层计算金融建模量子计算

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