Geometric Deep Learning for Realized Covariance Matrix Forecasting

A Bucci, M Palma, C Zhang - arXiv preprint arXiv:2412.09517, 2024 - arxiv.org
Traditional methods employed in matrix volatility forecasting often overlook the inherent
Riemannian manifold structure of symmetric positive definite matrices, treating them as …

Financial Assets Dependency Prediction Utilizing Spatiotemporal Patterns

H Zhu, P Zhao, WSH Ng, DL Lee - arXiv preprint arXiv:2406.11886, 2024 - arxiv.org
Financial assets exhibit complex dependency structures, which are crucial for investors to
create diversified portfolios to mitigate risk in volatile financial markets. To explore the …

Regularized estimation of Kronecker structured covariance matrix using modified Cholesky decomposition

D Dai, C Hao, S Jin, Y Liang - Journal of Statistical Computation …, 2023 - Taylor & Francis
In this paper, we study a Kronecker structured model for covariance matrices when data are
matrix-valued. Using the modified Cholesky decomposition for Kronecker structured …

Bayesian variable selection for matrix autoregressive models

A Celani, P Pagnottoni, G Jones - Statistics and Computing, 2024 - Springer
A Bayesian method is proposed for variable selection in high-dimensional matrix
autoregressive models which reflects and exploits the original matrix structure of data to (a) …

Multivariate stochastic volatility models based on generalized Fisher transformation

H Chen, Y Fei, YU Jun - 2023 - ink.library.smu.edu.sg
Modeling multivariate stochastic volatility (MSV) can be challenging, particularly when both
variances and covariances are time-varying. In this paper, we address these challenges by …