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We study Bayesian approaches to causal inference via propensity score regression. Much of the Bayesian literature on propensity score methods have relied on approaches that cannot be viewed as fully Bayesian in the context of conventional…

统计方法学 · 统计学 2022-02-01 David A. Stephens , Widemberg S. Nobre , Erica E. M. Moodie , Alexandra M. Schmidt

Methods for automated discovery of causal relationships from non-interventional data have received much attention recently. A widely used and well understood model family is given by linear acyclic causal models (recursive structural…

机器学习 · 统计学 2012-05-14 Patrik O. Hoyer , Antti Hyttinen

One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

机器学习 · 统计学 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

Causal discovery methods are intrinsically constrained by the set of assumptions needed to ensure structure identifiability. Moreover additional restrictions are often imposed in order to simplify the inference task: this is the case for…

机器学习 · 计算机科学 2023-04-07 Francesco Montagna , Nicoletta Noceti , Lorenzo Rosasco , Kun Zhang , Francesco Locatello

Much of the causal discovery literature prioritises guaranteeing the identifiability of causal direction in statistical models. For structures within a Markov equivalence class, this requires strong assumptions which may not hold in…

机器学习 · 统计学 2024-05-29 Anish Dhir , Samuel Power , Mark van der Wilk

Local causal discovery is of great practical significance, as there are often situations where the discovery of the global causal structure is unnecessary, and the interest lies solely on a single target variable. Most existing local…

机器学习 · 计算机科学 2024-03-25 Haoyue Dai , Ignavier Ng , Yujia Zheng , Zhengqing Gao , Kun Zhang

Many of the causal discovery methods rely on the faithfulness assumption to guarantee asymptotic correctness. However, the assumption can be approximately violated in many ways, leading to sub-optimal solutions. Although there is a line of…

机器学习 · 计算机科学 2022-01-19 Ignavier Ng , Yujia Zheng , Jiji Zhang , Kun Zhang

We provide theoretical and empirical evidence for a type of asymmetry between causes and effects that is present when these are related via linear models contaminated with additive non-Gaussian noise. Assuming that the causes and the…

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…

人工智能 · 计算机科学 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

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…

机器学习 · 计算机科学 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang

We present a new method for causal discovery in linear structural equation models. We propose a simple ``trick'' based on statistical testing in linear models that can distinguish between ancestors and non-ancestors of any given variable.…

统计方法学 · 统计学 2023-03-15 Christoph Schultheiss , Peter Bühlmann

Structural equation models and Bayesian networks have been widely used to analyze causal relations between continuous variables. In such frameworks, linear acyclic models are typically used to model the datagenerating process of variables.…

机器学习 · 计算机科学 2014-08-12 Shohei Shimizu , Aapo Hyvarinen , Yoshinobu Kawahara

The estimation of linear causal models (also known as structural equation models) from data is a well-known problem which has received much attention in the past. Most previous work has, however, made an explicit or implicit assumption of…

人工智能 · 计算机科学 2007-05-23 Patrik O. Hoyer , Shohei Shimizu , Antti J. Kerminen

We consider linear structural equation models that are associated with mixed graphs. The structural equations in these models only involve observed variables, but their idiosyncratic error terms are allowed to be correlated and…

统计计算 · 统计学 2017-10-10 Y. Samuel Wang , Mathias Drton

The use of simulated data in the field of causal discovery is ubiquitous due to the scarcity of annotated real data. Recently, Reisach et al., 2021 highlighted the emergence of patterns in simulated linear data, which displays increasing…

统计方法学 · 统计学 2023-10-24 Francesco Montagna , Nicoletta Noceti , Lorenzo Rosasco , Francesco Locatello

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…

统计方法学 · 统计学 2016-11-30 Seyed Mahdi Mahmoudi , Ernst Wit

We consider learning the possible causal direction of two observed variables in the presence of latent confounding variables. Several existing methods have been shown to consistently estimate causal direction assuming linear or some type of…

机器学习 · 统计学 2014-05-21 Shohei Shimizu , Kenneth Bollen

With observational data alone, causal structure learning is a challenging problem. The task becomes easier when having access to data collected from perturbations of the underlying system, even when the nature of these is unknown. Existing…

统计方法学 · 统计学 2023-10-10 Armeen Taeb , Juan L. Gamella , Christina Heinze-Deml , Peter Bühlmann

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

机器学习 · 计算机科学 2025-08-01 Maurits Kaptein

We consider the problem of learning causal models from observational data generated by linear non-Gaussian acyclic causal models with latent variables. Without considering the effect of latent variables, one usually infers wrong causal…

机器学习 · 计算机科学 2019-08-13 Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash , Kun Zhang
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