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This paper studies how to capture dependency graph structures from real data which may not be Gaussian. Starting from marginal loss functions not necessarily derived from probability distributions, we utilize an additive…

机器学习 · 统计学 2019-12-03 Yiyuan She , Shao Tang , Qiaoya Zhang

We study the problem of causal structure learning from a combination of observational and interventional data generated by a linear non-Gaussian structural equation model that might contain cycles. Recent results show that using mere…

机器学习 · 统计学 2025-12-05 Ehsan Sharifian , Saber Salehkaleybar , Negar Kiyavash

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

机器学习 · 计算机科学 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

In this paper we propose a class of structural vector autoregressions (SVARs) characterized by structural breaks (SVAR-WB). Together with standard restrictions on the parameters and on functions of them, we also consider constraints across…

计量经济学 · 经济学 2026-03-10 Emanuele Bacchiocchi , Toru Kitagawa

We consider the problem of structure learning for linear causal models based on observational data. We treat models given by possibly cyclic mixed graphs, which allow for feedback loops and effects of latent confounders. Generalizing…

统计理论 · 数学 2020-08-21 Carlos Améndola , Philipp Dettling , Mathias Drton , Federica Onori , Jun Wu

In this contribution we deal with the problem of learning an undirected graph which encodes the conditional dependence relationship between variables of a complex system, given a set of observations of this system. This is a very central…

统计方法学 · 统计学 2019-07-26 Daniela De Canditiis , Armando Guardasole

This paper deals with the problem of identifying direct causal effects in recursive linear structural equation models. The paper establishes a sufficient criterion for identifying individual causal effects and provides a procedure computing…

统计方法学 · 统计学 2012-06-26 Jin Tian

Estimating causal effects from observational data remains a fundamental challenge in causal inference, especially in the presence of latent confounders. This paper focuses on estimating causal effects in Gaussian Linear Structural Causal…

机器学习 · 计算机科学 2026-01-09 Aurghya Maiti , Prateek Jain

Causal discovery is a difficult problem that typically relies on strong assumptions on the data-generating model, such as non-Gaussianity. In practice, many modern applications provide multiple related views of the same system, which has…

机器学习 · 计算机科学 2025-09-29 Ambroise Heurtebise , Omar Chehab , Pierre Ablin , Alexandre Gramfort , Aapo Hyvärinen

Principled reasoning about the identifiability of causal effects from non-experimental data is an important application of graphical causal models. This paper focuses on effects that are identifiable by covariate adjustment, a commonly used…

人工智能 · 计算机科学 2019-01-25 Benito van der Zander , Maciej Liśkiewicz , Johannes Textor

Graphical models have become a very popular tool for representing dependencies within a large set of variables and are key for representing causal structures. We provide results for uniform inference on high-dimensional graphical models…

统计方法学 · 统计学 2018-12-04 Sven Klaassen , Jannis Kück , Martin Spindler , Victor Chernozhukov

We generalize Shimizu et al's (2006) ICA-based approach for discovering linear non-Gaussian acyclic (LiNGAM) Structural Equation Models (SEMs) from causally sufficient, continuous-valued observational data. By relaxing the assumption that…

人工智能 · 计算机科学 2012-06-18 Gustavo Lacerda , Peter L. Spirtes , Joseph Ramsey , Patrik O. Hoyer

Learning the unknown causal parameters of a linear structural causal model is a fundamental task in causal analysis. The task, known as the problem of identification, asks to estimate the parameters of the model from a combination of…

人工智能 · 计算机科学 2024-07-18 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

In this study, we address causal inference when only observational data and a valid causal ordering from the causal graph are available. We introduce a set of flow models that can recover component-wise, invertible transformation of…

机器学习 · 计算机科学 2024-12-16 Minh Khoa Le , Kien Do , Truyen Tran

We investigate the asymptotic properties of Bayesian bivariate causal discovery for Gaussian Linear Structural Equation Models (SEMs) with heteroscedastic noise. We demonstrate that with purely observational data, the posterior distribution…

统计理论 · 数学 2026-03-30 Valentinian Lungu , Anish Dhir , Mark van der Wilk , Ioannis Kontoyiannis

Instrumental variable models allow us to identify a causal function between covariates $X$ and a response $Y$, even in the presence of unobserved confounding. Most of the existing estimators assume that the error term in the response $Y$…

机器学习 · 统计学 2022-09-23 Sorawit Saengkyongam , Leonard Henckel , Niklas Pfister , Jonas Peters

We develop flexible methods of deriving variational inference for models with complex latent variable structure. By splitting the variables in these models into "global" parameters and "local" latent variables, we define a class of…

统计计算 · 统计学 2019-04-23 Linda S. L. Tan , Aishwarya Bhaskaran , David J. Nott

Probabilistic dependency graphs (PDGs) are a flexible class of probabilistic graphical models, subsuming Bayesian Networks and Factor Graphs. They can also capture inconsistent beliefs, and provide a way of measuring the degree of this…

数据结构与算法 · 计算机科学 2023-11-10 Oliver E. Richardson , Joseph Y. Halpern , Christopher De Sa

Graphical models use graphs to represent conditional independence structure in the distribution of a random vector. In stochastic processes, graphs may represent so-called local independence or conditional Granger causality. Under some…

统计方法学 · 统计学 2023-10-24 Søren Wengel Mogensen

We analyse the problem of solving Boolean equation systems through the use of structure graphs. The latter are obtained through an elegant set of Plotkin-style deduction rules. Our main contribution is that we show that equation systems…

计算机科学中的逻辑 · 计算机科学 2025-08-08 Jeroen Keiren , Michel A. Reniers , Tim A. C. Willemse