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Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

We study the data-driven selection of causal graphical models using constraint-based algorithms, which determine the existence or non-existence of edges (causal connections) in a graph based on testing a series of conditional independence…

Methodology · Statistics 2026-04-29 Daniel Malinsky

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be…

Machine Learning · Computer Science 2020-10-07 Marcel Wienöbst , Maciej Liśkiewicz

Methods for inferring average causal effects have traditionally relied on two key assumptions: (i) the intervention received by one unit cannot causally influence the outcome of another; and (ii) units can be organized into non-overlapping…

Methodology · Statistics 2019-08-23 Eric J. Tchetgen Tchetgen , Isabel Fulcher , Ilya Shpitser

The fundamental concepts underlying in Markov networks are the conditional independence and the set of rules called Markov properties that translates conditional independence constraints into graphs. In this article we introduce the concept…

Methodology · Statistics 2016-03-14 Niharika Gauraha

We present a categorical framework for relating causal models that represent the same system at different levels of abstraction. We define a causal abstraction as natural transformations between appropriate Markov functors, which concisely…

Machine Learning · Statistics 2025-10-07 Markus Englberger , Devendra Singh Dhami

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

Machine Learning · Computer Science 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

Causal reasoning has gained great attention over the last half century as it allows (or at least intends) to answer questions which go above those within the capabilities of classical inferential statistics using just observational data. So…

Statistics Theory · Mathematics 2025-01-23 Ignacio González-Pérez

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

Causal discovery from observational data is a challenging task that can only be solved up to a set of equivalent solutions, called an equivalence class. Such classes, which are often large in size, encode uncertainties about the orientation…

Machine Learning · Computer Science 2022-03-01 Philippe Brouillard , Perouz Taslakian , Alexandre Lacoste , Sebastien Lachapelle , Alexandre Drouin

Predicting the effect of unseen interventions is a fundamental research question across the data sciences. It is well established that in general such questions cannot be answered definitively from observational data. This realization has…

Machine Learning · Statistics 2024-05-27 Alexis Bellot

Recently, there has been extensive research on the capabilities of biologically plausible algorithms. In this work, we show how one of such algorithms, called predictive coding, is able to perform causal inference tasks. First, we show how…

Machine Learning · Computer Science 2024-06-04 Tommaso Salvatori , Luca Pinchetti , Amine M'Charrak , Beren Millidge , Thomas Lukasiewicz

Causal graphs are commonly used to understand and model complex systems. Researchers often construct these graphs from different perspectives, leading to significant variations for the same problem. Comparing causal graphs is, therefore,…

Machine Learning · Computer Science 2025-03-17 Ning-Yuan Georgia Liu , Flower Yang , Mohammad S. Jalali

We show that one can perform causal inference in a natural way for continuous-time scenarios using tools from stochastic analysis. This provides new alternatives to the positivity condition for inverse probability weighting. The probability…

Statistics Theory · Mathematics 2013-04-23 Kjetil Røysland

The broad abundance of time series data, which is in sharp contrast to limited knowledge of the underlying network dynamic processes that produce such observations, calls for a rigorous and efficient method of causal network inference. Here…

Information Theory · Computer Science 2015-05-19 Jie Sun , Dane Taylor , Erik M. Bollt

The algorithmic independence of conditionals, which postulates that the causal mechanism is algorithmically independent of the cause, has recently inspired many highly successful approaches to distinguish cause from effect given only…

Information Theory · Computer Science 2021-05-06 Alexander Marx , Jilles Vreeken

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

A fundamental challenge in the empirical sciences involves uncovering causal structure through observation and experimentation. Causal discovery entails linking the conditional independence (CI) invariances in observational data to their…

Machine Learning · Statistics 2025-11-04 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

Learning causal relations from observational data is a fundamental problem with wide-ranging applications across many fields. Constraint-based methods infer the underlying causal structure by performing conditional independence tests.…

Machine Learning · Computer Science 2026-03-24 Marc Franquesa Monés , Jiaqi Zhang , Caroline Uhler

Constraint-based causal discovery methods leverage conditional independence tests to infer causal relationships in a wide variety of applications. Just as the majority of machine learning methods, existing work focuses on studying…

Machine Learning · Statistics 2024-05-27 Siyuan Guo , Viktor Tóth , Bernhard Schölkopf , Ferenc Huszár