---
title: Geometric insights into robust portfolio construction
url: https://www.ml-quant.com/papers/doi/10-1142-s0219024924500249/
site: ML-Quant (https://www.ml-quant.com)
updated: 2026-09-26
license: Summaries CC BY 4.0; links go to the original sources
index: https://www.ml-quant.com/llms.txt
identifier: doi:10.1142/S0219024924500249
source_url: http://dx.doi.org/10.1142/S0219024924500249
featured: 2024-12-04
citations: 0
topic: Portfolio & Allocation
---


# Geometric insights into robust portfolio construction

The study argues that the equally weighted portfolio is inferior to the mean-variance portfolio, extending the result of an alpha-weight angle from unconstrained quadratic portfolio optimisations having an upper bound dependent on the covariance matrix's condition number.

- Source: http://dx.doi.org/10.1142/S0219024924500249
- Identifier: doi:10.1142/S0219024924500249
- Released: 2021-07-13
- First featured: Quant Letter No. 77 (2024-12-04): https://www.ml-quant.com/issues/2024-12-04/
- Citations (Semantic Scholar): 0
- Published in: International Journal of Theoretical and Applied Finance
- Topic: Portfolio & Allocation

## Related

- [An Integral Equation in Portfolio Selection with Time-Inconsistent Preferences](https://www.ml-quant.com/papers/arxiv/2412.02446/): The article suggests a comprehensive framework for time-consistent portfolio selection, demonstrating the existence and uniqueness of a solution for the integral equation under certain conditions.
- [Stock Recommendations for Individual Investors: A Temporal Graph Network Approach with Mean-Variance Efficient Sampling](https://www.ml-quant.com/papers/doi/10-1145-3677052-3698662/): The study introduces a new model, PfoTGNRec, for stock recommendation systems that balances customer preferences with suggesting high ROI portfolios, showing superior performance on real-world individual trading data.
- [Multi-hypothesis prediction for portfolio optimization: A structured ensemble learning approach to risk diversification](https://www.ml-quant.com/papers/arxiv/2501.03919/): The paper introduces a framework for portfolio allocation that uses multiple hypotheses prediction through structured ensemble models, allowing for control of portfolio diversification before decision-making.
- [Portfolio optimisation: Bridging the gap between theory and practice](https://www.ml-quant.com/papers/arxiv/2407.00887/): The article suggests a two-stage framework for improving quantitative investing, considering practical issues and new features like futures contracts and borrowing costs.
- [A Cholesky decomposition-based asset selection heuristic for sparse tangent portfolio optimization](https://www.ml-quant.com/papers/arxiv/2502.11701/): A new asset selection method for mean-variance portfolios has been proposed, allowing for quicker optimization and construction of portfolios with fewer assets.
- [Dynamically Optimal Portfolios for Monotone Mean-Variance Preferences](https://www.ml-quant.com/papers/arxiv/2503.08272/): The paper describes the optimal dynamic portfolio choice for the Monotone Mean-Variance utility in asset price models with independent returns, with minimal assumptions.
