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We consider linear structural equation models with explicitly modelled latent variables. In such models, observed and latent variables solve linear equations including stochastic noise terms. The goal of our work is to identify the direct…

统计方法学 · 统计学 2026-05-28 Tom Hochsprung , Nils Sturma , Jakob Runge , Mathias Drton , Andreas Gerhardus

Evaluating observational estimators of causal effects demands information that is rarely available: unconfounded interventions and outcomes from the population of interest, created either by randomization or adjustment. As a result, it is…

机器学习 · 计算机科学 2024-10-29 Fredrik D. Johansson

In spite of its high practical relevance, cluster specific multiple inference for linear mixed model predictors has hardly been addressed so far. While marginal inference for population parameters is well understood, conditional inference…

统计理论 · 数学 2022-02-25 Peter Kramlinger , Tatyana Krivobokova , Stefan Sperlich

We developed a novel approach to identification and model testing in linear structural equation models (SEMs) based on auxiliary variables (AVs), which generalizes a widely-used family of methods known as instrumental variables. The…

统计方法学 · 统计学 2019-10-09 Bryant Chen , Daniel Kumor , Elias Bareinboim

When studying the association between treatment and a clinical outcome, a parametric multivariable model of the conditional outcome expectation is often used to adjust for covariates. The treatment coefficient of the outcome model targets a…

统计方法学 · 统计学 2026-05-07 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

统计方法学 · 统计学 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

Knowledge about existence, strength, and dominant direction of causal influences is of paramount importance for understanding complex systems. With limited amounts of realistic data, however, current methods for investigating causal links…

数据分析、统计与概率 · 物理学 2020-10-20 Erik Laminski , Klaus R. Pawelzik

Multiple imputation (MI) is an established technique to handle missing data in observational studies. Joint modeling (JM) and fully conditional specification (FCS) are commonly used methods for imputing multilevel clustered data. However,…

统计方法学 · 统计学 2022-09-28 Mei Dong , Aya Mitani

Marginal structural models (MSMs) are commonly used to estimate causal intervention effects in longitudinal non-randomised studies. A common issue when analysing data from observational studies is the presence of incomplete confounder data,…

统计方法学 · 统计学 2019-12-02 Clemence Leyrat , James R Carpenter , Sebastien Bailly , Elizabeth J Willamson

In this paper, we discuss causal inference on the efficacy of a treatment or medication on a time-to-event outcome with competing risks. Although the treatment group can be randomized, there can be confoundings between the compliance and…

统计方法学 · 统计学 2016-12-06 Cheng Zheng , Ran Dai , Parameswaran Hari , Mei-Jie Zhang

The paper concerns the probabilistic evaluation of plans in the presence of unmeasured variables, each plan consisting of several concurrent or sequential actions. We establish a graphical criterion for recognizing when the effects of a…

人工智能 · 计算机科学 2013-02-21 Judea Pearl , James M. Robins

Large Vision Language Models (LVLMs) have demonstrated remarkable capabilities, yet their proficiency in understanding and reasoning over multiple images remains largely unexplored. While existing benchmarks have initiated the evaluation of…

计算机视觉与模式识别 · 计算机科学 2026-01-13 Anurag Das , Adrian Bulat , Alberto Baldrati , Ioannis Maniadis Metaxas , Bernt Schiele , Georgios Tzimiropoulos , Brais Martinez

Identifying latent variables and causal structures from observational data is essential to many real-world applications involving biological data, medical data, and unstructured data such as images and languages. However, this task can be…

机器学习 · 计算机科学 2023-11-01 Lingjing Kong , Biwei Huang , Feng Xie , Eric Xing , Yuejie Chi , Kun Zhang

The identification of latent mediator variables is typically conducted using standard structural equation models (SEMs). When SEM is applied to mediation analysis with a causal interpretation, valid inference relies on the strong assumption…

统计方法学 · 统计学 2025-10-02 Sofia Morelli , Roberto Faleh , Holger Brandt

Recovering causal structure in the presence of latent variables is an important but challenging task. While many methods have been proposed to handle it, most of them require strict and/or untestable assumptions on the causal structure. In…

机器学习 · 计算机科学 2025-10-28 Wei Chen , Linjun Peng , Zhiyi Huang , Haoyue Dai , Zhifeng Hao , Ruichu Cai , Kun Zhang

Robins (1998) introduced marginal structural models (MSMs), a general class of counterfactual models for the joint effects of time-varying treatment regimes in complex longitudinal studies subject to time-varying confounding. He established…

统计方法学 · 统计学 2018-09-17 Eric J Tchetgen Tchetgen , Haben Michael , Yifan Cui

Structural Causal Models (SCMs) offer a principled framework to reason about interventions and support out-of-distribution generalization, which are key goals in scientific discovery. However, the task of learning SCMs from observed data…

机器学习 · 计算机科学 2026-04-06 Divyat Mahajan , Jannes Gladrow , Agrin Hilmkil , Cheng Zhang , Meyer Scetbon

I set up a potential outcomes framework to analyze spillover effects using instrumental variables. I characterize the population compliance types in a setting in which spillovers can occur on both treatment take-up and outcomes, and provide…

计量经济学 · 经济学 2021-12-15 Gonzalo Vazquez-Bare

Model-Implied Instrumental Variable Two-Stage Least Squares (MIIV-2SLS) is a limited information, equation-by-equation, non-iterative estimator for latent variable models. Associated with this estimator are equation specific tests of model…

统计方法学 · 统计学 2024-04-17 Teague R. Henry , Zachary F. Fisher , Kenneth A. Bollen

We introduce an approach to counterfactual inference based on merging information from multiple datasets. We consider a causal reformulation of the statistical marginal problem: given a collection of marginal structural causal models (SCMs)…