Granger causality: A review and recent advances

A Shojaie, EB Fox - Annual Review of Statistics and Its …, 2022 - annualreviews.org
Introduced more than a half-century ago, Granger causality has become a popular tool for
analyzing time series data in many application domains, from economics and finance to …

Machine learning advances for time series forecasting

RP Masini, MC Medeiros… - Journal of economic …, 2023 - Wiley Online Library
In this paper, we survey the most recent advances in supervised machine learning (ML) and
high‐dimensional models for time‐series forecasting. We consider both linear and nonlinear …

Neural granger causality

A Tank, I Covert, N Foti, A Shojaie… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
While most classical approaches to Granger causality detection assume linear dynamics,
many interactions in real-world applications, like neuroscience and genomics, are inherently …

Criteria for classifying forecasting methods

T Januschowski, J Gasthaus, Y Wang, D Salinas… - International Journal of …, 2020 - Elsevier
Classifying forecasting methods as being either of a “machine learning” or “statistical” nature
has become commonplace in parts of the forecasting literature and community, as …

Estimating structured high-dimensional covariance and precision matrices: Optimal rates and adaptive estimation

TT Cai, Z Ren, HH Zhou - 2016 - projecteuclid.org
This is an expository paper that reviews recent developments on optimal estimation of
structured high-dimensional covariance and precision matrices. Minimax rates of …

Nets: Network estimation for time series

M Barigozzi, C Brownlees - Journal of Applied Econometrics, 2019 - Wiley Online Library
We model a large panel of time series as a vector autoregression where the autoregressive
matrices and the inverse covariance matrix of the system innovations are assumed to be …

Signal Processing on Graphs: Causal Modeling of Unstructured Data

J Mei, JMF Moura - IEEE Transactions on Signal Processing, 2016 - ieeexplore.ieee.org
Many applications collect a large number of time series, for example, the financial data of
companies quoted in a stock exchange, the health care data of all patients that visit the …

VARX-L: Structured regularization for large vector autoregressions with exogenous variables

WB Nicholson, DS Matteson, J Bien - International Journal of Forecasting, 2017 - Elsevier
The vector autoregression (VAR) has long proven to be an effective method for modeling the
joint dynamics of macroeconomic time series, as well as for forecasting. One major …

Finite time identification in unstable linear systems

MKS Faradonbeh, A Tewari, G Michailidis - Automatica, 2018 - Elsevier
Identification of the parameters of stable linear dynamical systems is a well-studied problem
in the literature, both in the low and high-dimensionalsettings. However, there are hardly any …

High dimensional forecasting via interpretable vector autoregression

WB Nicholson, I Wilms, J Bien, DS Matteson - Journal of Machine Learning …, 2020 - jmlr.org
Vector autoregression (VAR) is a fundamental tool for modeling multivariate time series.
However, as the number of component series is increased, the VAR model becomes …