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This paper studies the problem of learning causal structures from observational data. We reformulate the Structural Equation Model (SEM) with additive noises in a form parameterized by binary graph adjacency matrix and show that, if the…

Machine Learning · Computer Science 2022-01-11 Ignavier Ng , Shengyu Zhu , Zhuangyan Fang , Haoyang Li , Zhitang Chen , Jun Wang

In the present paper, we propose the model of {\it structural information learning machines} (SiLeM for short), leading to a mathematical definition of learning by merging the theories of computation and information. Our model shows that…

Machine Learning · Computer Science 2020-01-28 Angsheng Li

We revisit the classical causal inference problem of estimating the average treatment effect in the presence of fully observed confounding variables using two-stage semiparametric methods. In existing theoretical studies of methods such as…

Methodology · Statistics 2022-05-23 Steve Yadlowsky

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Longitudinal targeted maximum likelihood estimation (LTMLE) has very rarely been used to estimate dynamic treatment effects in the context of time-dependent confounding affected by prior treatment when faced with long follow-up times,…

Background: Advanced methods for causal inference, such as targeted maximum likelihood estimation (TMLE), require certain conditions for statistical inference. However, in situations where there is not differentiability due to data sparsity…

Event Causality Identification (ECI) requires models to determine whether a given pair of events in a context exhibits a causal relationship. While Large Language Models (LLMs) have demonstrated strong performance across various NLP tasks,…

Computation and Language · Computer Science 2026-05-06 Zhifeng Hao , Zhongjie Chen , Junhao Lu , Shengyin Yu , Guimin Hu , Keli Zhang , Ruichu Cai , Boyan Xu

In this study, the combined use of structural equation modeling (SEM) and Bayesian network modeling (BNM) in causal inference analysis is revisited. The perspective highlights the debate between proponents of using BNM as either an…

Methodology · Statistics 2024-07-29 Edgar Benitez , Alvaro Balaguer

Current Targeted Maximum Likelihood Estimation (TMLE) methods used to analyze time-to-event data estimate the survival probability for each time point separately, which result in estimates that are not necessarily monotone. In this paper,…

Methodology · Statistics 2019-06-14 Weixin Cai , Mark J. van der Laan

Spectral learning recently generated lots of excitement in machine learning, largely because it is the first known method to produce consistent estimates (under suitable conditions) for several latent variable models. In contrast, maximum…

Machine Learning · Computer Science 2014-06-19 Han Zhao , Pascal Poupart

Personalized intervention strategies, in particular those that modify treatment based on a participant's own response, are a core component of precision medicine approaches. Sequential Multiple Assignment Randomized Trials (SMARTs) are…

Causal structure learning refers to a process of identifying causal structures from observational data, and it can have multiple applications in biomedicine and health care. This paper provides a practical review and tutorial on scalable…

Machine Learning · Computer Science 2023-01-20 Pulakesh Upadhyaya , Kai Zhang , Can Li , Xiaoqian Jiang , Yejin Kim

In this technical note we present a targeted maximum likelihood estimator (TMLE) for a previously studied target parameter that aims to transport an average treatment effect (ATE) on a clinical outcome in a source population to what the ATE…

Methodology · Statistics 2025-01-14 Mark van der Laan , Susan Gruber

Topic models provide a useful text-mining tool for learning, extracting, and discovering latent structures in large text corpora. Although a plethora of methods have been proposed for topic modeling, lacking in the literature is a formal…

Machine Learning · Statistics 2022-08-12 Yinyin Chen , Shishuang He , Yun Yang , Feng Liang

In this work, we propose a new estimation method of a Structural Equation Model. Our method is based on the EM likelihood-maximization algorithm. We show that this method provides estimators, not only of the coefficients of the model, but…

Statistics Theory · Mathematics 2015-10-02 Xavier Bry , Christian Lavergne , Myriam Tami

Knowing the link between observed predictive variables and outcomes is crucial for making inference in any regression model. When this link is missing, partially or completely, classical estimation methods fail in recovering the true…

Statistics Theory · Mathematics 2026-01-28 Fadoua Balabdaoui , Jinyu Chen

Recent claims of strong performance by Large Language Models (LLMs) on causal discovery are undermined by a key flaw: many evaluations rely on benchmarks likely included in pretraining corpora. Thus, apparent success suggests that LLM-only…

In recent years there has been a flurry of works on learning Bayesian networks from data. One of the hard problems in this area is how to effectively learn the structure of a belief network from incomplete data- that is, in the presence of…

Machine Learning · Computer Science 2013-02-01 Nir Friedman

We address the challenge of performing Targeted Maximum Likelihood Estimation (TMLE) after an initial Highly Adaptive Lasso (HAL) fit. Existing approaches that utilize the data-adaptive working model selected by HAL-such as the relaxed HAL…

Methodology · Statistics 2025-06-23 Yi Li , Sky Qiu , Zeyi Wang , Mark van der Laan

Observational epidemiological studies commonly seek to estimate the causal effect of an exposure on an outcome. Adjustment for potential confounding bias in modern studies is challenging due to the presence of high-dimensional confounding,…

Methodology · Statistics 2025-08-29 Susan Ellul , Stijn Vansteelandt , John B. Carlin , Margarita Moreno-Betancur