Sparse vector autoregressive modeling

RA Davis, P Zang, T Zheng - Journal of Computational and …, 2016 - Taylor & Francis
The vector autoregressive (VAR) model has been widely used for modeling temporal
dependence in a multivariate time series. For large (and even moderate) dimensions, the …

Generalized maximum entropy based identification of graphical ARMA models

J You, C Yu, J Sun, J Chen - Automatica, 2022 - Elsevier
This paper focuses on the joint estimation of parameters and topologies of multivariate
graphical autoregressive moving-average (ARMA) processes. Since the graphical structure …

[PDF][PDF] Topology selection in graphical models of autoregressive processes

J Songsiri, L Vandenberghe - The Journal of Machine Learning Research, 2010 - jmlr.org
An algorithm is presented for topology selection in graphical models of autoregressive
Gaussian time series. The graph topology of the model represents the sparsity pattern of the …

Sparse plus low-rank identification for dynamical latent-variable graphical AR models

J You, C Yu - Automatica, 2024 - Elsevier
This paper focuses on the identification of graphical autoregressive models with dynamical
latent variables. The dynamical structure of latent variables is described by a matrix …

AR identification of latent-variable graphical models

M Zorzi, R Sepulchre - IEEE Transactions on Automatic Control, 2015 - ieeexplore.ieee.org
The paper proposes an identification procedure for autoregressive Gaussian stationary
stochastic processes under the assumption that the manifest (or observed) variables are …

Graphical lasso based model selection for time series

A Jung, G Hannak, N Goertz - IEEE Signal Processing Letters, 2015 - ieeexplore.ieee.org
We propose a novel graphical model selection scheme for high-dimensional stationary time
series or discrete time processes. The method is based on a natural generalization of the …

On sparse high-dimensional graphical model learning for dependent time series

JK Tugnait - Signal Processing, 2022 - Elsevier
We consider the problem of inferring the conditional independence graph (CIG) of a sparse,
high-dimensional stationary multivariate Gaussian time series. A sparse-group lasso-based …

Learning networks of stochastic differential equations

J Pereira, M Ibrahimi… - Advances in Neural …, 2010 - proceedings.neurips.cc
We consider linear models for stochastic dynamics. Any such model can be associated a
network (namely a directed graph) describing which degrees of freedom interact under the …

Time series graphical lasso and sparse VAR estimation

A Dallakyan, R Kim, M Pourahmadi - Computational Statistics & Data …, 2022 - Elsevier
A two-stage sparse vector autoregression method is proposed. It relies on the more recent
and powerful technique of time series graphical lasso to estimate sparse inverse spectral …

Identification of sparse reciprocal graphical models

D Alpago, M Zorzi, A Ferrante - IEEE control systems letters, 2018 - ieeexplore.ieee.org
In this letter we propose an identification procedure of a sparse graphical model associated
to a Gaussian stationary stochastic process. The identification paradigm exploits the …