MDM: An R package for causal multivariate time series tasks

The Multiregression Dynamic Model (MDM) is a framework that combines graph theory with dynamic linear models, allowing a non-Gaussian multivariate structure to emerge in the context of causal time series. Since an optimal DAG structure is an NP-hard task, this package overcomes the all-combinations search (Integer Programming Algorithm) using heuristic algorithms (like Hill Climbing). Written using R S4 Object programming, it performs learning functions (estimating network structure and its dynamic arcs), as well as includes DAG (causal) visualization, time-varying coefficients visualization, and graphical performance checks. The MDM R package is distributed under the GPL license and is accessible from GitHub. • Flexible Time Series model for non-stationary and time-varying parameters. • Bayesian dynamic model via Kalman Filter/Smooter closed form. • Multivariate Time Series estimation via probabilistic graphical model. • Dynamic Bayesian Networks pattern discovery using Heuristic-algorithm.

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Publication Details

Journal
Software Impacts
Published
2025-10-01
DOI
https://doi.org/10.1016/j.simpa.2025.100796
Primary Topic
Bayesian Modeling and Causal Inference
Type
article
Field-Weighted Citation Impact
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article

MDM: An R package for causal multivariate time series tasks

Software Impacts
Bayesian Modeling and Causal Inference
article

MDM: An R package for causal multivariate time series tasks

article en

Abstract

The Multiregression Dynamic Model (MDM) is a framework that combines graph theory with dynamic linear models, allowing a non-Gaussian multivariate structure to emerge in the context of causal time series. Since an optimal DAG structure is an NP-hard task, this package overcomes the all-combinations search (Integer Programming Algorithm) using heuristic algorithms (like Hill Climbing). Written using R S4 Object programming, it performs learning functions (estimating network structure and its dynamic arcs), as well as includes DAG (causal) visualization, time-varying coefficients visualization, and graphical performance checks. The MDM R package is distributed under the GPL license and is accessible from GitHub. • Flexible Time Series model for non-stationary and time-varying parameters. • Bayesian dynamic model via Kalman Filter/Smooter closed form. • Multivariate Time Series estimation via probabilistic graphical model. • Dynamic Bayesian Networks pattern discovery using Heuristic-algorithm.

Software ImpactsVol. 26
Universidade Federal da Bahia (BR), NEOMA Business School (FR)
Openalex Percentile: Top 23%
Bayesian Modeling and Causal Inference
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