Financial data science

P Giudici - Statistics & Probability Letters, 2018 - Elsevier
Data science can be defined as the interaction between computer programming, statistical
learning, and one of the many possible domains where it can be applied. In the paper we …

On identification of multi‐factor models with correlated residuals

M Grzebyk, P Wild, D Chouanière - Biometrika, 2004 - academic.oup.com
We specify some conditions for the identification of a multi‐factor model with correlated
residuals, uncorrelated factors and zero restrictions in the factor loadings. These conditions …

A Bayesian approach to modelling graphical vector autoregressions

J Corander, M Villani - Journal of Time Series Analysis, 2006 - Wiley Online Library
We introduce a Bayesian approach to model assessment in the class of graphical vector
autoregressive processes. As a result of the very large number of model structures that may …

A unified framework of principal component analysis and factor analysis

S Xiong - arXiv preprint arXiv:2405.20137, 2024 - arxiv.org
Principal component analysis and factor analysis are fundamental multivariate analysis
methods. In this paper a unified framework to connect them is introduced. Under a general …

Beyond redundancies: A metric-invariant method for unsupervised feature selection

Y Hou, P Zhang, T Yan, W Li… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
A fundamental goal of unsupervised feature selection is denoising, which aims to identify
and reduce noisy features that are not discriminative. Due to the lack of information about …

Markov Chain Monte Carlo model selection for DAG models

EM Fronk, P Giudici - Statistical Methods and Applications, 2004 - Springer
We present a methodology for Bayesian model choice and averaging in Gaussian directed
acyclic graphs (dags). The dimension-changing move involves adding or dropping a …

Model Selection for dags via RJMCMC for the discrete and mixed case

EM Fronk - 2002 - epub.ub.uni-muenchen.de
Based on a reversible jump Markov Chain Monte Carlo (RJMCMC) algorithm which was
developed by Fronk and Giudici (2000) to deal with model selection for Gaussian dags, we …

Bayesian low rank and sparse covariance matrix decomposition

L Zhang, A Sarkar, BK Mallick - arXiv preprint arXiv:1310.4195, 2013 - arxiv.org
We consider the problem of estimating high-dimensional covariance matrices of a particular
structure, which is a summation of low rank and sparse matrices. This covariance structure …

Bayesian inference in non-Gaussian factor analysis

C Viroli - Statistics and Computing, 2009 - Springer
Non-Gaussian factor analysis differs from ordinary factor analysis because of the distribution
assumption on the factors which are modelled by univariate mixtures of Gaussians thus …

Bayesian sparse covariance decomposition with a graphical structure

L Zhang, A Sarkar, BK Mallick - Statistics and Computing, 2016 - Springer
We consider the problem of estimating covariance matrices of a particular structure that is a
summation of a low-rank component and a sparse component. This is a general covariance …