arXiv Machine Learning

Granger Causality in Extremes

arXiv:2407. 09632v3 Announce Type: replace-cross Abstract: We introduce a rigorous mathematical framework for Granger causality in extremes, designed to identify causal links from extreme events in time series.

arXiv AI
Sep 7

Beyond Stationarity in Time Series: Discovering Causal Structures and Latent Regimes via Markov Blankets

The paper presents RCBNB-MB, a causal discovery algorithm that relaxes the assumption of a single, time‑consistent causal structure in time series. It identifies latent causal regimes—subsets of time points where a stable causal graph holds—and iteratively segments the series to recover both regime transitions and the corresponding causal graphs using Markov blankets. The authors provide theoretical guarantees and demonstrate through simulations and real IT monitoring data that RCBNB-MB outperforms baseline methods in detecting regime changes and their causal structures.

By Lei Zan, Charles K. Assaad, Emilie Devijver, Eric Gaussier
arXiv Machine Learning
Aug 5

Amortized Interventional Forecasting for Multivariate CIR Processes

arXiv:2608. 03715v1 Announce Type: new Abstract: Mean-reverting dynamics are pervasive in finance, and the Cox--Ingersoll--Ross (CIR) process is a standard model for the time series they produce, from short rates to credit default swap (CDS) spreads.

By Andreas Sauter, Sumit Sourabh, Drona Kandhai, Erman Acar
arXiv Machine Learning
Jul 21

Causal Discovery on Irregular Time Series

arXiv:2607. 18226v1 Announce Type: new Abstract: Causal discovery methods have shown strong performance in temporal systems, but they typically rely on regular and discrete lag structures, limiting their applicability to regularly sampled data.

By Martim Penim, Ricardo Ribeiro Pereira, Jacopo Bono, Hugo Ferreira, M\'ario A. T. Figueiredo, Pedro Bizarro
arXiv Machine Learning
Jun 5

Robust Causal Discovery in Real-World Time Series with Power-Laws

arXiv:2507. 12257v4 Announce Type: replace Abstract: Exploring causal relationships in stochastic time series is a challenging yet crucial task with a vast range of applications, including finance, economics, neuroscience, and climate science.

By Matteo Tusoni, Giuseppe Masi, Andrea Coletta, Aldo Glielmo, Viviana Arrigoni, Novella Bartolini