arXiv:2601.13435cs.LGcs.AI2026-01

用可学习小波变换提升股市多空交易,直接优化收益与风险。

A Learnable Wavelet Transformer for Long-Short Equity Trading and Risk-Adjusted Return Optimization

  • 设计可学习小波前端,端到端分解时序信号的高低频成分。
  • 在六行业数据上平均实现年化收益率60.7%、夏普比2.16,显著优于基线。
  • 适合金融量化研究者,尤其关注长期短期策略融合的场景。

从金融时间序列中学习盈利的日内交易策略面临噪声大、非平稳性及资产间强横截面依赖等挑战。我们提出WaveLSFormer,一种基于可学习小波的长短期多空Transformer模型,联合完成多尺度分解与面向收益的决策学习。不同于传统预测模型需单独进行头寸调整,该模型直接输出市场中性多空组合,并在交易目标和风险感知正则化下端到端训练。其可学习小波前端通过端到端训练的滤波组生成低频/高频分量,受频谱正则化约束以确保稳定清晰的频带分离。为融合多尺度信息,引入低频引导高频注入(LGHI)模块,利用高频线索优化低频表示并控制训练稳定性。模型输出经风险预算约束缩放的多空持仓组合,直接以交易目标和风险正则化优化。在五年的小时级数据上,覆盖六个行业组,十次随机种子测试表明,无论是否使用固定离散小波前端,WaveLSFormer均显著优于MLP、LSTM和Transformer基线。在所有行业中,平均累计策略收益为0.607±0.045,夏普比达2.157±0.166,大幅提高盈利性与风险调整后收益。

原文摘要 · Abstract (English)

Learning profitable intraday trading policies from financial time series is challenging due to heavy noise, non-stationarity, and strong cross-sectional dependence among related assets. We propose \emph{WaveLSFormer}, a learnable wavelet-based long-short Transformer that jointly performs multi-scale decomposition and return-oriented decision learning. Unlike standard time-series forecasting that optimizes prediction error and typically requires a separate position-sizing or portfolio-construction step, our model directly outputs a market-neutral long/short portfolio and is trained end-to-end on a trading objective with risk-aware regularization. Specifically, a learnable wavelet front-end generates low-/high-frequency components via an end-to-end trained filter bank, guided by spectral regularizers that encourage stable and well-separated frequency bands. To fuse multi-scale information, we introduce a low-guided high-frequency injection (LGHI) module that refines low-frequency representations with high-frequency cues while controlling training stability. The model outputs a portfolio of long/short positions that is rescaled to satisfy a fixed risk budget and is optimized directly with a trading objective and risk-aware regularization. Extensive experiments on five years of hourly data across six industry groups, evaluated over ten random seeds, demonstrate that WaveLSFormer consistently outperforms MLP, LSTM and Transformer backbones, with and without fixed discrete wavelet front-ends. On average in all industries, WaveLSFormer achieves a cumulative overall strategy return of $0.607 \pm 0.045$ and a Sharpe ratio of $2.157 \pm 0.166$, substantially improving both profitability and risk-adjusted returns over the strongest baselines.

多空交易小波变换深度学习量化投资

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