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Greedy Equivalence Search (GES) is a classic score-based algorithm for causal discovery from observational data. In the sample limit, it recovers the Markov equivalence class of graphs that describe the data. Still, it faces two challenges…

Machine Learning · Computer Science 2025-11-10 Adiba Ejaz , Elias Bareinboim

Identifying the structure of a partially observed causal system is essential to various scientific fields. Recent advances have focused on constraint-based causal discovery to solve this problem, and yet in practice these methods often face…

Machine Learning · Computer Science 2026-05-04 Xinshuai Dong , Ignavier Ng , Haoyue Dai , Jiaqi Sun , Xiangchen Song , Peter Spirtes , Kun Zhang

Temporal background information can improve causal discovery algorithms by orienting edges and identifying relevant adjustment sets. We develop the Temporal Greedy Equivalence Search (TGES) algorithm and terminology essential for…

Methodology · Statistics 2025-02-13 Tobias Ellegaard Larsen , Claus Thorn Ekstrøm , Anne Helby Petersen

Identifying latent variables and the causal structure involving them is essential across various scientific fields. While many existing works fall under the category of constraint-based methods (with e.g. conditional independence or rank…

Machine Learning · Computer Science 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang

The goal of causal discovery is to learn a directed acyclic graph from data. One of the most well-known methods for this problem is Greedy Equivalence Search (GES). GES searches for the graph by incrementally and greedily adding or removing…

Machine Learning · Computer Science 2025-02-28 Achille Nazaret , David Blei

Understanding causal relationships between variables is a fundamental problem with broad impact in numerous scientific fields. While extensive research has been dedicated to learning causal graphs from data, its complementary concept of…

Machine Learning · Computer Science 2024-03-12 Jiaqi Zhang , Kirankumar Shiragur , Caroline Uhler

We introduce Selective Greedy Equivalence Search (SGES), a restricted version of Greedy Equivalence Search (GES). SGES retains the asymptotic correctness of GES but, unlike GES, has polynomial performance guarantees. In particular, we show…

Machine Learning · Computer Science 2015-06-09 David Maxwell Chickering , Christopher Meek

The electrocardiogram (ECG) signal is the most widely used non-invasive tool for the investigation of cardiovascular diseases. Automatic delineation of ECG fiducial points, in particular the R-peak, serves as the basis for ECG processing…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Atiyeh Fotoohinasab , Toby Hocking , Fatemeh Afghah

One of the hallmark achievements of the theory of graphical models and Bayesian model selection is the celebrated greedy equivalence search (GES) algorithm due to Chickering and Meek. GES is known to consistently estimate the structure of…

Machine Learning · Statistics 2024-06-26 Bryon Aragam

We consider the problem of recovering the causal structure underlying observations from different experimental conditions when the targets of the interventions in each experiment are unknown. We assume a linear structural causal model with…

Methodology · Statistics 2025-03-13 Juan L. Gamella , Armeen Taeb , Christina Heinze-Deml , Peter Bühlmann

Causal DAGs (also known as Bayesian networks) are a popular tool for encoding conditional dependencies between random variables. In a causal DAG, the random variables are modeled as vertices in the DAG, and it is stipulated that every…

Data Structures and Algorithms · Computer Science 2024-07-04 Vidya Sagar Sharma

Undirected probabilistic graphical models represent the conditional dependencies, or Markov properties, of a collection of random variables. Knowing the sparsity of such a graphical model is valuable for modeling multivariate distributions…

Machine Learning · Statistics 2023-02-28 Ricardo Baptista , Youssef Marzouk , Rebecca E. Morrison , Olivier Zahm

Constraint-based causal discovery algorithms learn part of the causal graph structure by systematically testing conditional independences observed in the data. These algorithms, such as the PC algorithm and its variants, rely on graphical…

Artificial Intelligence · Computer Science 2023-10-31 Murat Kocaoglu

Constraint-based causal discovery algorithms utilize many statistical tests for conditional independence to uncover networks of causal dependencies. These approaches to causal discovery rely on an assumed correspondence between the…

Machine Learning · Computer Science 2025-04-18 Bijan Mazaheri , Jiaqi Zhang , Caroline Uhler

We consider structure learning of linear Gaussian structural equation models with weak edges. Since the presence of weak edges can lead to a loss of edge orientations in the true underlying CPDAG, we define a new graphical object that can…

Methodology · Statistics 2017-07-25 Marco F. Eigenmann , Preetam Nandy , Marloes H. Maathuis

We present a sound and complete algorithm for recovering causal graphs from observed, non-interventional data, in the possible presence of latent confounders and selection bias. We rely on the causal Markov and faithfulness assumptions and…

Artificial Intelligence · Computer Science 2020-12-25 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Causal modeling has long been an attractive topic for many researchers and in recent decades there has seen a surge in theoretical development and discovery algorithms. Generally discovery algorithms can be divided into two approaches:…

Machine Learning · Statistics 2017-02-06 Ridho Rahmadi , Perry Groot , Marianne Heins , Hans Knoop , Tom Heskes

We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

Machine Learning · Statistics 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

Inferring the causal structure that links n observables is usually based upon detecting statistical dependences and choosing simple graphs that make the joint measure Markovian. Here we argue why causal inference is also possible when only…

Statistics Theory · Mathematics 2008-04-24 Dominik Janzing , Bernhard Schoelkopf

We consider the problem of estimating the marginal independence structure of a Bayesian network from observational data, learning an undirected graph we call the unconditional dependence graph. We show that unconditional dependence graphs…

Methodology · Statistics 2024-05-22 Danai Deligeorgaki , Alex Markham , Pratik Misra , Liam Solus
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