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We propose a method to infer causal structures containing both discrete and continuous variables. The idea is to select causal hypotheses for which the conditional density of every variable, given its causes, becomes smooth. We define a…

Machine Learning · Statistics 2009-10-30 Dominik Janzing , Xiaohai Sun , Bernhard Schoelkopf

Causal inference has gained much popularity in recent years, with interests ranging from academic, to industrial, to educational, and all in between. Concurrently, the study and usage of neural networks has also grown profoundly (albeit at…

Machine Learning · Statistics 2024-05-07 Demetrios Papakostas , Andrew Herren , P. Richard Hahn , Francisco Castillo

We show that there is a general, informative and reliable procedure for discovering causal relations when, for all the investigator knows, both latent variables and selection bias may be at work. Given information about conditional…

Artificial Intelligence · Computer Science 2013-02-21 Peter L. Spirtes , Christopher Meek , Thomas S. Richardson

Causal representation learning has emerged as the center of action in causal machine learning research. In particular, multi-domain datasets present a natural opportunity for showcasing the advantages of causal representation learning over…

Machine Learning · Computer Science 2023-12-12 Kartik Ahuja , Amin Mansouri , Yixin Wang

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

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

Causal inference is central to many areas of artificial intelligence, including complex reasoning, planning, knowledge-base construction, robotics, explanation, and fairness. An active community of researchers develops and enhances…

Artificial Intelligence · Computer Science 2019-11-05 Amanda Gentzel , Dan Garant , David Jensen

We propose a method to detect model misspecifications in nonlinear causal additive and potentially heteroscedastic noise models. We aim to identify predictor variables for which we can infer the causal effect even in cases of such…

Methodology · Statistics 2024-03-28 Christoph Schultheiss , Peter Bühlmann

In this paper, we focus on the problem of stable prediction across unknown test data, where the test distribution is agnostic and might be totally different from the training one. In such a case, previous machine learning methods might…

Machine Learning · Computer Science 2020-06-11 Kun Kuang , Bo Li , Peng Cui , Yue Liu , Jianrong Tao , Yueting Zhuang , Fei Wu

Machine learning models rely on various assumptions to attain high accuracy. One of the preliminary assumptions of these models is the independent and identical distribution, which suggests that the train and test data are sampled from the…

Machine Learning · Computer Science 2022-11-08 Paras Sheth , Raha Moraffah , K. Selçuk Candan , Adrienne Raglin , Huan Liu

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

Methodology · Statistics 2025-04-17 Jing Zou , Wei Li , Wei Lin

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

Methodology · Statistics 2022-09-05 Jingying Zeng , Run Wang

Recent developments in structural equation modeling have produced several methods that can usually distinguish cause from effect in the two-variable case. For that purpose, however, one has to impose substantial structural constraints or…

Artificial Intelligence · Computer Science 2015-04-23 Kun Zhang , Jiji Zhang , Bernhard Schölkopf

Recommender systems are important and powerful tools for various personalized services. Traditionally, these systems use data mining and machine learning techniques to make recommendations based on correlations found in the data. However,…

Information Retrieval · Computer Science 2023-01-11 Shuyuan Xu , Jianchao Ji , Yunqi Li , Yingqiang Ge , Juntao Tan , Yongfeng Zhang

We provide a justification for why, and when, endogeneity will not cause bias in the interpretation of the coefficients in a regression model. This technique can be a viable alternative to, or even used alongside, the instrumental variable…

General Economics · Economics 2022-03-29 Ravi Kashyap

Machine learning approaches commonly rely on the assumption of independent and identically distributed (i.i.d.) data. In reality, however, this assumption is almost always violated due to distribution shifts between environments. Although…

Machine Learning · Computer Science 2022-10-18 Ronan Perry , Julius von Kügelgen , Bernhard Schölkopf

Applying machine learning in the health care domain has shown promising results in recent years. Interpretable outputs from learning algorithms are desirable for decision making by health care personnel. In this work, we explore the…

Machine Learning · Computer Science 2017-11-30 Marcus Klasson , Kun Zhang , Bo C. Bertilson , Cheng Zhang , Hedvig Kjellström

Causal inference is often portrayed as fundamentally distinct from predictive modeling, with its own terminology, goals, and intellectual challenges. But at its core, causal inference is simply a structured instance of prediction under…

Machine Learning · Computer Science 2025-07-10 Carlos Fernández-Loría

Animals exhibit an innate ability to learn regularities of the world through interaction. By performing experiments in their environment, they are able to discern the causal factors of variation and infer how they affect the world's…

Machine Learning · Computer Science 2021-08-10 Sumedh A. Sontakke , Arash Mehrjou , Laurent Itti , Bernhard Schölkopf

This PhD thesis contains several contributions to the field of statistical causal modeling. Statistical causal models are statistical models embedded with causal assumptions that allow for the inference and reasoning about the behavior of…

Machine Learning · Statistics 2021-10-05 Martin Emil Jakobsen
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