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Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Peter Bühlmann

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

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

Machine Learning · Computer Science 2024-09-13 Antti Pöllänen , Pekka Marttinen

Causal representation learning (CRL) aims at recovering latent causal variables from high-dimensional observations to solve causal downstream tasks, such as predicting the effect of new interventions or more robust classification. A…

Machine Learning · Computer Science 2025-03-06 Dingling Yao , Dario Rancati , Riccardo Cadei , Marco Fumero , Francesco Locatello

What types of differences among causal structures with latent variables are impossible to distinguish by statistical data obtained by probing each visible variable? If the probing scheme is simply passive observation, then it is well-known…

Machine Learning · Statistics 2024-07-03 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

We investigate multi-label classification involving large sets of labels, where the output labels may be known to satisfy some logical constraints. We look at an architecture in which classifiers for individual labels are fed into an…

Machine Learning · Computer Science 2025-07-22 Mykhailo Buleshnyi , Anna Polova , Zsolt Zombori , Michael Benedikt

The ability to understand causality significantly impacts the competence of large language models (LLMs) in output explanation and counterfactual reasoning, as causality reveals the underlying data distribution. However, the lack of a…

Machine Learning · Computer Science 2024-09-30 Yu Zhou , Xingyu Wu , Beicheng Huang , Jibin Wu , Liang Feng , Kay Chen Tan

In the era of big data, a large amount of noisy and incomplete data can be collected from multiple sources for prediction tasks. Combining multiple models or data sources helps to counteract the effects of low data quality and the bias of…

Machine Learning · Statistics 2013-10-17 Sihong Xie , Xiangnan Kong , Jing Gao , Wei Fan , Philip S. Yu

The investigation of the question "which treatment has a causal effect on a target variable?" is of particular relevance in a large number of scientific disciplines. This challenging task becomes even more difficult if not all treatment…

Methodology · Statistics 2022-02-28 Sergio Hernan Garrido Mejia , Elke Kirschbaum , Dominik Janzing

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

The key of sequential recommendation lies in the accurate item correlation modeling. Previous models infer such information based on item co-occurrences, which may fail to capture the real causal relations, and impact the recommendation…

Information Retrieval · Computer Science 2022-12-14 Zhenlei Wang , Xu Chen , Rui Zhou , Quanyu Dai , Zhenhua Dong , Ji-Rong Wen

Causal learning tackles the computationally demanding task of estimating causal graphs. This paper introduces a new divide-and-conquer approach for causal graph learning, called DCILP. In the divide phase, the Markov blanket MB($X_i$) of…

Machine Learning · Computer Science 2025-07-01 Shuyu Dong , Michèle Sebag , Kento Uemura , Akito Fujii , Shuang Chang , Yusuke Koyanagi , Koji Maruhashi

By taking into account the nonlinear effect of the cause, the inner noise effect, and the measurement distortion effect in the observed variables, the post-nonlinear (PNL) causal model has demonstrated its excellent performance in…

Machine Learning · Statistics 2012-05-14 Kun Zhang , Aapo Hyvarinen

Discovering causal relationship using multivariate functional data has received a significant amount of attention very recently. In this article, we introduce a functional linear structural equation model for causal structure learning when…

Methodology · Statistics 2023-11-01 Saptarshi Roy , Raymond K. W. Wong , Yang Ni

Uncovering cause-and-effect mechanisms from data is fundamental to scientific progress. While large language models (LLMs) show promise for enhancing causal discovery (CD) from unstructured data, their application to the increasingly…

Machine Learning · Computer Science 2025-10-31 Jin Li , Shoujin Wang , Qi Zhang , Feng Liu , Tongliang Liu , Longbing Cao , Shui Yu , Fang Chen

Bivariate causal direction identification is a fundamental and vital problem in the causal inference field. Among binary causal methods, most methods based on additive noise only use one single causal mechanism to construct a causal model.…

Artificial Intelligence · Computer Science 2025-07-30 Saixiong Liu , Yuhua Qian , Jue Li , Honghong Cheng , Feijiang Li

A predictive model makes outcome predictions based on some given features, i.e., it estimates the conditional probability of the outcome given a feature vector. In general, a predictive model cannot estimate the causal effect of a feature…

Machine Learning · Computer Science 2023-04-11 Jiuyong Li , Lin Liu , Ziqi Xu , Ha Xuan Tran , Thuc Duy Le , Jixue Liu

Causal discovery with latent variables is a fundamental task. Yet most existing methods rely on strong structural assumptions, such as enforcing specific indicator patterns for latents or restricting how they can interact with others. We…

Machine Learning · Computer Science 2026-03-06 Haoyue Dai , Immanuel Albrecht , Peter Spirtes , Kun Zhang

Causal inference from observational data is crucial for many disciplines such as medicine and economics. However, sharp bounds for causal effects under relaxations of the unconfoundedness assumption (causal sensitivity analysis) are subject…

Machine Learning · Computer Science 2023-10-17 Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

We study the identification of causal effects, motivated by two improvements to identifiability which can be attained if one knows that some variables in a causal graph are functionally determined by their parents (without needing to know…

Artificial Intelligence · Computer Science 2024-05-24 Yizuo Chen , Adnan Darwiche
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