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An acyclic causal structure can be described with directed acyclic graph (DAG), where arrows indicate the possibility of direct causation. The task of learning this structure from data is known as "causal discovery." Diverse populations or…

Machine Learning · Computer Science 2024-10-17 Bijan Mazaheri , Spencer Gordon , Yuval Rabani , Leonard Schulman

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

Causal inference from observational data following the restricted structural causal models (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or…

Machine Learning · Computer Science 2024-05-30 Kang Du , Yu Xiang

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

Research in Cognitive Science suggests that humans understand and represent knowledge of the world through causal relationships. In addition to observations, they can rely on experimenting and counterfactual reasoning -- i.e. referring to…

Artificial Intelligence · Computer Science 2021-05-24 Kanvaly Fadiga , Etienne Houzé , Ada Diaconescu , Jean-Louis Dessalles

Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number of instruments has to exceed the number…

Methodology · Statistics 2018-06-19 Dominik Rothenhäusler , Peter Bühlmann , Nicolai Meinshausen

The paper considers the problem to estimate non-causal graphical models whose edges encode smoothing relations among the variables. We propose a new covariance extension problem and show that the solution minimizing the transportation…

Machine Learning · Statistics 2024-10-15 Junyao You , Mattia Zorzi

We address the problem of distinguishing cause from effect in bivariate setting. Based on recent developments in nonlinear independent component analysis (ICA), we train nonparametrically general nonlinear causal models that allow…

Machine Learning · Statistics 2021-01-19 Pengzhou Wu , Kenji Fukumizu

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

The paper focuses on identifying the causes of student performance to provide personalized recommendations for improving pass rates. We introduce the need to move beyond predictive models and instead identify causal relationships. We…

Computers and Society · Computer Science 2023-09-26 Bevan I. Smith

In this paper we present a comprehensive view of prominent causal discovery algorithms, categorized into two main categories (1) assuming acyclic and no latent variables, and (2) allowing both cycles and latent variables, along with…

Artificial Intelligence · Computer Science 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

Methodology · Statistics 2021-09-06 Kang Du , Yu Xiang

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

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

This article presents a novel method for causal discovery with generalized structural equation models suited for analyzing diverse types of outcomes, including discrete, continuous, and mixed data. Causal discovery often faces challenges…

Methodology · Statistics 2023-10-26 Minjie Wang , Xiaotong Shen , Wei Pan

Distinguishing cause from effect using observations of a pair of random variables is a core problem in causal discovery. Most approaches proposed for this task, namely additive noise models (ANM), are only adequate for quantitative data. We…

Machine Learning · Computer Science 2023-03-16 Mário A. T. Figueiredo , Catarina A. Oliveira

Trajectory anomaly detection, aiming to estimate the anomaly risk of trajectories given the Source-Destination (SD) pairs, has become a critical problem for many real-world applications. Existing solutions directly train a generative model…

Machine Learning · Computer Science 2024-12-30 Wenbin Li , Di Yao , Chang Gong , Xiaokai Chu , Quanliang Jing , Xiaolei Zhou , Yuxuan Zhang , Yunxia Fan , Jingping Bi

Causal discovery algorithms aim at untangling complex causal relationships from data. Here, we study causal discovery and inference methods based on staged tree models, which can represent complex and asymmetric causal relationships between…

Methodology · Statistics 2023-03-02 Manuele Leonelli , Gherardo Varando

An important goal across most scientific fields is the discovery of causal structures underling a set of observations. Unfortunately, causal discovery methods which are based on correlation or mutual information can often fail to identify…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Matthew J. Vowels , Necati Cihan Camgoz , Richard Bowden

Understanding causal relationships among features is fundamental for explaining machine learning model decisions. However, traditional causal discovery methods face challenges with categorical variables due to numerical instability in…

Artificial Intelligence · Computer Science 2026-01-30 Henry Salgado , Meagan R. Kendall , Martine Ceberio