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This study addresses the problem of learning a summary causal graph on time series with potentially different sampling rates. To do so, we first propose a new causal temporal mutual information measure for time series. We then show how this…

Artificial Intelligence · Computer Science 2023-11-03 Charles K. Assaad , Emilie Devijver , Eric Gaussier

Mathematical modeling of disease outbreaks can infer the future trajectory of an epidemic, which can inform policy decisions. Another task is inferring the origin of a disease, which is relatively difficult with current mathematical models.…

Physics and Society · Physics 2022-08-31 Mehrad Ansari , David Soriano-Paños , Gourab Ghoshal , Andrew D. White

Inferring nonlinear and asymmetric causal relationships between multivariate longitudinal data is a challenging task with wide-ranging application areas including clinical medicine, mathematical biology, economics and environmental…

Methodology · Statistics 2021-08-25 Tom Edinburgh , Stephen J. Eglen , Ari Ercole

We present two algorithms for exact and approximate inference in causal networks. The first algorithm, dynamic conditioning, is a refinement of cutset conditioning that has linear complexity on some networks for which cutset conditioning is…

Artificial Intelligence · Computer Science 2013-02-21 Adnan Darwiche

Thanks to technological advances leading to near-continuous time observations, emerging multivariate point process data offer new opportunities for causal discovery. However, a key obstacle in achieving this goal is that many relevant…

Machine Learning · Statistics 2021-12-15 Xu Wang , Ali Shojaie

We review and conceptualize recent advances in causal inference under network interference, drawing on a complex and diverse body of work that ranges from causal inference, statistical network analysis, economics, the health sciences, and…

Methodology · Statistics 2025-08-12 Subhankar Bhadra , Michael Schweinberger

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

A key question in many network studies is whether the observed correlations between units are primarily due to contagion or latent confounding. Here, we study this question using a segregated graph (Shpitser, 2015) representation of these…

Machine Learning · Computer Science 2025-03-07 Yufeng Wu , Rohit Bhattacharya

Transfer entropy is an established method for quantifying directed statistical dependencies in neuroimaging and complex systems datasets. The pairwise (or bivariate) transfer entropy from a source to a target node in a network does not…

Information Theory · Computer Science 2020-05-05 Leonardo Novelli , Fatihcan M. Atay , Jürgen Jost , Joseph T. Lizier

Discovering causal direction from temporal observational data is particularly challenging for symbolic sequences, where functional models and noise assumptions are often unavailable. We propose a novel \emph{Dictionary Based Pattern Entropy…

Machine Learning · Statistics 2026-03-06 Harikrishnan N B , Shubham Bhilare , Aditi Kathpalia , Nithin Nagaraj

One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

Machine Learning · Statistics 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

One of the basic aims in science is to unravel the chain of cause and effect of particular systems. Especially for large systems this can be a daunting task. Detailed interventional and randomized data sampling approaches can be used to…

Methodology · Statistics 2016-11-30 Seyed Mahdi Mahmoudi , Ernst Wit

Causal discovery from observational data is an important but challenging task in many scientific fields. Recently, a method with non-combinatorial directed acyclic constraint, called NOTEARS, formulates the causal structure learning problem…

Machine Learning · Computer Science 2023-10-31 Weilin Chen , Jie Qiao , Ruichu Cai , Zhifeng Hao

Quantifying the relations (e.g., similarity) between complex networks paves the way for studying the latent information shared across networks. However, fundamental relation metrics are not well-defined between networks. As a compromise,…

Social and Information Networks · Computer Science 2023-07-21 Yang Tian , Hedong Hou , Guangzheng Xu , Ziyang Zhang , Pei Sun

Going beyond correlations, the understanding and identification of causal relationships in observational time series, an important subfield of Causal Discovery, poses a major challenge. The lack of access to a well-defined ground truth for…

Machine Learning · Statistics 2021-04-19 Andrew R. Lawrence , Marcus Kaiser , Rui Sampaio , Maksim Sipos

A very important topic in systems biology is developing statistical methods that automatically find causal relations in gene regulatory networks with no prior knowledge of causal connectivity. Many methods have been developed for time…

Machine Learning · Statistics 2012-08-22 Shohei Shimizu

Estimating total treatment effects in the presence of network interference typically requires knowledge of the underlying interaction structure. However, in many practical settings, network data is either unavailable, incomplete, or…

Methodology · Statistics 2026-02-05 Albert Tan , Sadegh Shirani , James Nordlund , Mohsen Bayati

Recent developments enable the quantification of causal control given a structural causal model (SCM). This has been accomplished by introducing quantities which encode changes in the entropy of one variable when intervening on another.…

Machine Learning · Computer Science 2024-02-20 Francisco N. F. Q. Simoes , Mehdi Dastani , Thijs van Ommen

We investigate causal inference in the asymptotic regime as the number of variables approaches infinity using an information-theoretic framework. We define structural entropy of a causal model in terms of its description complexity measured…

Artificial Intelligence · Computer Science 2021-09-21 Sridhar Mahadevan

To draw scientifically meaningful conclusions and build reliable models of quantitative phenomena, cause and effect must be taken into consideration (either implicitly or explicitly). This is particularly challenging when the measurements…

Machine Learning · Computer Science 2020-12-11 Max A. Little , Reham Badawy
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