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From ancient philosophers to modern economists, biologists, and other researchers, there has been a continuous effort to unveil causal relations. The most formidable challenge lies in deducing the nature of the causal relationship: whether…

Many methods for causal inference generate directed acyclic graphs (DAGs) that formalize causal relations between $n$ variables. Given the joint distribution on all these variables, the DAG contains all information about how intervening on…

Statistics Theory · Mathematics 2014-01-29 Dominik Janzing , David Balduzzi , Moritz Grosse-Wentrup , Bernhard Schölkopf

The causal revolution has stimulated interest in understanding complex relationships in various fields. Most of the existing methods aim to discover causal relationships among all variables within a complex large-scale graph. However, in…

Machine Learning · Computer Science 2023-11-02 Hengrui Cai , Yixin Wang , Michael Jordan , Rui Song

Knowledge graphs and structural causal models have each proven valuable for organizing biomedical knowledge and estimating causal effects, but remain largely disconnected: knowledge graphs encode qualitative relationships focusing on facts…

Artificial Intelligence · Computer Science 2025-05-13 Sumyyah Toonsi , Paul Schofield , Robert Hoehndorf

The identifiability problem for interventions aims at assessing whether the total effect of some given interventions can be written with a do-free formula, and thus be computed from observational data only. We study this problem,…

Statistics Theory · Mathematics 2025-06-19 Clément Yvernes , Charles K. Assaad , Emilie Devijver , Eric Gaussier

Causal learning has long concerned itself with the accurate recovery of underlying causal mechanisms. Such causal modelling enables better explanations of out-of-distribution data. Prior works on causal learning assume that the high-level…

Directed acyclic graphs have been used fruitfully to represent causal strucures (Pearl 1988). However, in the social sciences and elsewhere models are often used which correspond both causally and statistically to directed graphs with…

Artificial Intelligence · Computer Science 2020-10-24 Thomas S. Richardson

A new causal discovery method, Structural Agnostic Modeling (SAM), is presented in this paper. Leveraging both conditional independencies and distributional asymmetries, SAM aims to find the underlying causal structure from observational…

Machine Learning · Statistics 2022-07-26 Diviyan Kalainathan , Olivier Goudet , Isabelle Guyon , David Lopez-Paz , Michèle Sebag

We present a didactic introduction to spectral Dynamic Causal Modelling (DCM), a Bayesian state-space modelling approach used to infer effective connectivity from non-invasive neuroimaging data. Spectral DCM is currently the most widely…

Neurons and Cognition · Quantitative Biology 2023-09-07 Leonardo Novelli , Karl Friston , Adeel Razi

Most tabular-data generators match marginal statistics yet ignore causal structure, leading downstream models to learn spurious or unfair patterns. We present TabSCM, a mixed-type generator that preserves those causal dependencies. Starting…

Machine Learning · Computer Science 2026-04-27 Sven Jacob , Bardh Prenkaj , Weijia Shao , Gjergji Kasneci

Graph neural network (GNN) explainers identify the important subgraph that ensures the prediction for a given graph. Until now, almost all GNN explainers are based on association, which is prone to spurious correlations. We propose {\name},…

Machine Learning · Computer Science 2024-07-15 Arman Behnam , Binghui Wang

We consider a a collection of categorical random variables. Of special interest is the causal effect on an outcome variable following an intervention on another variable. Conditionally on a Directed Acyclic Graph (DAG), we assume that the…

Methodology · Statistics 2023-06-29 Federico Castelletti , Guido Consonni , Marco Luigi Della Vedova

Consider the finite state graph that results from a simple, discrete, dynamical system in which an agent moves in a rectangular grid picking up and dropping packages. Can the state variables of the problem, namely, the agent location and…

Artificial Intelligence · Computer Science 2022-07-13 Blai Bonet , Hector Geffner

Understanding directed temporal interactions in multivariate time series is essential for interpreting complex dynamical systems and the predictive models trained on them. We present Causal-INSIGHT, a model-agnostic, post-hoc interpretation…

Machine Learning · Computer Science 2026-03-27 Benjamin Redden , Hui Wang , Shuyan Li

Causal graph dynamics are transformations over graphs that capture two important symmetries of physics, namely causality and homogeneity. They can be equivalently defined as continuous and translation invariant transformations or functions…

Discrete Mathematics · Computer Science 2013-09-06 Simon Martiel , Bruno Martin

Structural causal models (SCMs) provide a principled approach to identifying causation from observational and experimental data in disciplines ranging from economics to medicine. However, SCMs, which is typically represented as graphical…

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

We consider structural equation models (SEMs), in which every variable is a function of a subset of the other variables and a stochastic error. Each such SEM is naturally associated with a directed graph describing the relationships between…

Combinatorics · Mathematics 2023-08-04 Mathias Drton , Benjamin Hollering , Jun Wu

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Causal models, also known as Structural Equation Models (SEM), are a well-known formalism for representing and reasoning about causal dependencies between events. In this paper, we show that Temporal SEMs (TSEMs), which extend SEMs to…

Formal Languages and Automata Theory · Computer Science 2026-05-08 Maksim Gladyshev , Natasha Alechina , Brian Logan