Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

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

We develop a rotation-invariant neural network that provides the global minimum-variance portfolio by jointly learning how to lag-transform historical returns and how to regularise both the eigenvalues and the marginal volatilities of large equity covariance matrices. This explicit mathematical mapp

Holy Grail Math 8.5 Rigor 8 ·  July 2, 2025

Physics-Informed Singular-Value Learning for Cross-Covariances Forecasting in Financial Markets

A new wave of work on covariance cleaning and nonlinear shrinkage has delivered asymptotically optimal analytical solutions for large covariance matrices. Building on this progress, these ideas have been generalized to empirical cross-covariance matrices, whose singular-value shrinkage characterizes

Holy Grail Math 8.5 Rigor 6.5 ·  January 12, 2026

Multivariate Distributions in Non-Stationary Complex Systems I: Random Matrix Model and Formulae for Data Analysis

Risk assessment for rare events is essential for understanding systemic stability in complex systems. As rare events are typically highly correlated, it is important to study heavy-tailed multivariate distributions of the relevant variables, especially in the presence of non-stationarity. We use a g

Holy Grail Math 8 Rigor 5 ·  December 16, 2024

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