arXiv:2608.06618q-fin.PMcs.LG2026-08

用因子暴露定义图结构,提升投资组合分散化效果

Beyond Co-Movement: Locality by Exposures Enables a Joint Factor-Graph Framework for Portfolio Diversification

论文配图:Beyond Co-Movement: Locality by Exposures Enables a Joint Factor-Graph Framework for Portfolio Diversification
图 1 · 摘自论文原文
  • 通过因子暴露重构图局部性,融合因子与图模型优势
  • 新方法构建的组合在多种波动率和交易成本下表现更优
  • 适合关注资产相关性建模与稳健投资组合的金融研究者

现有投资组合构建方法要么忽略特异性冲击影响(标准因子模型),要么忽视驱动系统性收益的潜在数据结构(近期图方法)。本文提出互信息图-局部性与暴露框架(MINGLE),通过系统性因子暴露而非观测共动性重新定义图局部性,实现因子域与图域的相互正则化。该方法基于统一的交替方向乘子法(ADMM)框架,直接从市场收益中联合学习潜在因子表示及其诱导的图拓扑。生成的暴露相似图与已知经济行业划分更一致。基于该表示构建的投资组合在多种波动率环境和交易成本水平下均显著优于传统相关图方法。配对统计检验确认收益提升源于图与因子域的协调统一。

原文摘要 · Abstract (English)

Current portfolio construction methods are either agnostic to the effects of idiosyncratic shocks (standard factor models) or to the latent data structure driving systematic returns (recent graph-based approaches). This presents an opportunity to combine the complementary market aspects captured by the factor and graph domains, allowing asset allocations to operate directly on the underlying market structure, rather than on its observed co-movement or its finite-sample artefacts. In this work, we introduce the Mutually-INformed Graph-Locality and Exposures framework (MINGLE), which mutually regularises the factor and graph domains by redefining graph locality through systematic factor exposure profiles, rather than via observed co-movements. This is formalised through a unified Alternating Direction Method of Multipliers (ADMM) framework that jointly learns a latent factor representation and its induced graph topology directly from market returns. The resulting exposure-similarity graph aligns more closely with established economic sectors than conventional correlation-based graphs. Portfolios constructed from this representation are shown to consistently outperform their correlation-based counterparts across a range of volatility regimes and transaction cost levels. For rigour, paired statistical testing confirms that these gains stem from the reconciliation of the graph and factor domains.

投资组合图神经网络因子模型

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