End-to-End Large Portfolio Optimization for Variance Minimization with Neural Networks through Covariance Cleaning

📰 ArXiv cs.AI

Learn to optimize large portfolios using neural networks for variance minimization through covariance cleaning, a crucial skill for data scientists and analysts in finance.

advanced Published 22 Apr 2026
Action Steps
  1. Build a rotation-invariant neural network to learn lag-transforms of historical returns and marginal volatilities.
  2. Configure the neural network to regularize eigenvalues of large equity covariance matrices.
  3. Apply covariance cleaning to the input data to improve the accuracy of the portfolio optimization model.
  4. Test the performance of the neural network using backtesting and evaluate its effectiveness in minimizing portfolio variance.
  5. Compare the results with traditional portfolio optimization methods to assess the benefits of the neural network approach.
Who Needs to Know This

Quantitative analysts, data scientists, and portfolio managers can benefit from this technique to optimize portfolio performance and minimize risk. The approach can be applied in finance and investment industries.

Key Insight

💡 Neural networks can be used to optimize large portfolios by learning to clean covariance matrices and minimize variance, offering a transparent and interpretable approach.

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Optimize portfolios with neural networks! Learn how to minimize variance through covariance cleaning #portfoliooptimization #neuralnetworks #finance

Key Takeaways

Learn to optimize large portfolios using neural networks for variance minimization through covariance cleaning, a crucial skill for data scientists and analysts in finance.

Full Article

Title: End-to-End Large Portfolio Optimization for Variance Minimization with Neural Networks through Covariance Cleaning

Abstract:
arXiv:2507.01918v3 Announce Type: replace-cross Abstract: We develop a rotation-invariant neural network that provides the global minimum-variance portfolio by jointly learning how to lag-transform historical returns and marginal volatilities and how to regularise the eigenvalues of large equity covariance matrices. This explicit mathematical mapping offers clear interpretability of each module's role, so the model cannot be regarded as a pure black box. The architecture mirrors the analytical f
Read full paper → ← Back to Reads

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