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In this paper, the relationship between probabilistic graphical models, in particular Bayesian networks, and causal diagrams, also called structural causal models, is studied. Structural causal models are deterministic models, based on…

人工智能 · 计算机科学 2026-04-24 Peter J. F. Lucas , Eleonora Zullo , Fabio Stella

Recursive linear structural equation models are widely used to postulate causal mechanisms underlying observational data. In these models, each variable equals a linear combination of a subset of the remaining variables plus an error term.…

统计理论 · 数学 2022-03-21 F. Richard Guo , Emilija Perković

Despite the major advances taken in causal modeling, causality is still an unfamiliar topic for many statisticians. In this paper, it is demonstrated from the beginning to the end how causal effects can be estimated from observational data…

统计方法学 · 统计学 2014-07-03 Juha Karvanen

Estimating causal effects is particularly challenging when outcomes arise in complex, non-Euclidean spaces, where conventional methods often fail to capture meaningful structural variation. We develop a framework for topological causal…

统计方法学 · 统计学 2026-03-04 Kwangho Kim , Hajin Lee

Unobserved confounding presents a major threat to causal inference from observational studies. Recently, several authors suggest that this problem may be overcome in a shared confounding setting where multiple treatments are independent…

统计方法学 · 统计学 2020-11-25 Dehan Kong , Shu Yang , Linbo Wang

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

统计理论 · 数学 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Individual scores on common factors are required in some applied settings (e.g., business and marketing settings). Common factors are based on reflective indicators, but their scores cannot unambiguously be determined. Therefore, factor…

应用统计 · 统计学 2017-01-24 André Beauducel , Anja Leue , Norbert Hilger

Estimation of causal effects is fundamental in situations were the underlying system will be subject to active interventions. Part of building a causal inference engine is defining how variables relate to each other, that is, defining the…

统计方法学 · 统计学 2021-03-02 Sergio Garrido , Stanislav S. Borysov , Jeppe Rich , Francisco C. Pereira

Assessing the magnitude of cause-and-effect relations is one of the central challenges found throughout the empirical sciences. The problem of identification of causal effects is concerned with determining whether a causal effect can be…

人工智能 · 计算机科学 2018-12-18 Amin Jaber , Jiji Zhang , Elias Bareinboim

The pharmaceutical industry is plagued by the problem of side effects that can occur anytime a prescribed medication is ingested. There has been a recent interest in using the vast quantities of medical data available in longitudinal…

计算工程、金融与科学 · 计算机科学 2014-09-22 Jenna Reps , Jonathan M. Garibaldi , Uwe Aickelin , Daniele Soria , Jack E. Gibson , Richard B. Hubbard

For a data-generating process for random variables that can be described with a linear structural equation model, we consider a situation in which (i) a set of covariates satisfying the back-door criterion cannot be observed or (ii) such a…

统计方法学 · 统计学 2025-03-06 Hisayoshi Nanmo , Manabu Kuroki

This paper considers how to classify the effects of interventions in causal models for outcomes and exposures observed over time. First, we demonstrate the limitations of the most common uses of potential outcomes and causal directed…

统计方法学 · 统计学 2026-05-29 Russell Steele , Naftali Weinberger , Tess Baker , Ian Shrier

This paper proposes a causal inference relation and causal programming as general frameworks for causal inference with structural causal models. A tuple, $\langle M, I, Q, F \rangle$, is an instance of the relation if a formula, $F$,…

统计方法学 · 统计学 2018-05-08 Joshua Brulé

A structural vector autoregressive (SVAR) process is a linear causal model for variables that evolve over a discrete set of time points and between which there may be lagged and instantaneous effects. The qualitative causal structure of an…

统计理论 · 数学 2024-08-19 Nicolas-Domenic Reiter , Jonas Wahl , Andreas Gerhardus , Jakob Runge

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

统计方法学 · 统计学 2024-02-14 David Strieder , Mathias Drton

A typical problem in causal modeling is the instability of model structure learning, i.e., small changes in finite data can result in completely different optimal models. The present work introduces a novel causal modeling algorithm for…

Nonlinear causal discovery from observational data imposes strict identifiability assumptions on the formulation of structural equations utilized in the data generating process. The evaluation of structure learning methods under assumption…

机器学习 · 统计学 2024-12-17 Georg Velev , Stefan Lessmann

Adjusting for covariates is a well established method to estimate the total causal effect of an exposure variable on an outcome of interest. Depending on the causal structure of the mechanism under study there may be different adjustment…

统计理论 · 数学 2021-04-27 Jack Kuipers , Giusi Moffa

Identification of causal direction between a causal-effect pair from observed data has recently attracted much attention. Various methods based on functional causal models have been proposed to solve this problem, by assuming the causal…

机器学习 · 计算机科学 2019-06-04 Ruichu Cai , Jie Qiao , Kun Zhang , Zhenjie Zhang , Zhifeng Hao

This paper analyses the number of free parameters and solutions of the structural difference equation obtained from a linear multivariate rational expectations model. First, it is shown that the number of free parameters depends on the…

计量经济学 · 经济学 2020-02-12 Bernd Funovits