arXiv:2508.01861stat.APcs.AI2025-08被引 2

针对金融数据缺失问题,提出一种多维张量补全方法,提升投资决策准确性。

ACT-Tensor: Tensor Completion Framework for Financial Dataset Imputation

  • 基于聚类与时间平滑的张量补全框架,捕捉跨公司异质性与长期趋势。
  • 在极端稀疏场景下,相比现有方法显著降低估值误差,提升组合风险调整收益。
  • 适合金融建模、量化投资等需要高质量面板数据的研究与应用。

金融面板数据中的缺失值严重阻碍资产定价模型有效性并削弱投资策略表现。此类数据通常具有企业、时间与金融变量的多维结构,使插补任务复杂化。传统方法常因扁平化数据结构、难以处理异构缺失模式或在极端稀疏下过拟合而失效。为此,我们提出自适应聚类时间平滑张量补全框架(ACT-Tensor),专为严重且异构缺失的多维金融数据设计。其核心创新包括:基于聚类的补全模块,通过学习组内特定潜在结构捕捉截面异质性;时间平滑模块,主动去除短期噪声并保留长期基本面趋势。大量实验表明,ACT-Tensor在多种缺失率情形下均优于前沿基准,尤其在极端稀疏条件下表现突出。进一步通过面向张量结构金融数据的资产定价流程评估,结果表明该方法不仅降低定价误差,还显著提升构建组合的风险调整收益。这证实了本方法能提供高精度且具信息量的插补结果,对金融决策具有重要价值。

原文摘要 · Abstract (English)

Missing data in financial panels presents a critical obstacle, undermining asset-pricing models and reducing the effectiveness of investment strategies. Such panels are often inherently multi-dimensional, spanning firms, time, and financial variables, which adds complexity to the imputation task. Conventional imputation methods often fail by flattening the data's multidimensional structure, struggling with heterogeneous missingness patterns, or overfitting in the face of extreme data sparsity. To address these limitations, we introduce an Adaptive, Cluster-based Temporal smoothing tensor completion framework (ACT-Tensor) tailored for severely and heterogeneously missing multi-dimensional financial data panels. ACT-Tensor incorporates two key innovations: a cluster-based completion module that captures cross-sectional heterogeneity by learning group-specific latent structures; and a temporal smoothing module that proactively removes short-lived noise while preserving slow-moving fundamental trends. Extensive experiments show that ACT-Tensor consistently outperforms state-of-the-art benchmarks in terms of imputation accuracy across a range of missing data regimes, including extreme sparsity scenarios. To assess its practical financial utility, we evaluate the imputed data with an asset-pricing pipeline tailored for tensor-structured financial data. Results show that ACT-Tensor not only reduces pricing errors but also significantly improves risk-adjusted returns of the constructed portfolio. These findings confirm that our method delivers highly accurate and informative imputations, offering substantial value for financial decision-making.

金融数据张量补全缺失值处理量化投资

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