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We consider causal inference in the presence of unobserved confounding. We study the case where a proxy is available for the unobserved confounding in the form of a network connecting the units. For example, the link structure of a social…

机器学习 · 统计学 2019-06-03 Victor Veitch , Yixin Wang , David M. Blei

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

机器学习 · 统计学 2017-10-31 Dustin Tran , David M. Blei

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

Causal Bayesian networks (CBN) are popular graphical probabilistic models that encode causal relations among variables. Learning their graphical structure from observational data has received a lot of attention in the literature. When there…

机器学习 · 计算机科学 2024-08-22 Christophe Gonzales , Amir-Hosein Valizadeh

This work extends causal inference with stochastic confounders. We propose a new approach to variational estimation for causal inference based on a representer theorem with a random input space. We estimate causal effects involving latent…

机器学习 · 统计学 2021-01-26 Thanh Vinh Vo , Pengfei Wei , Wicher Bergsma , Tze-Yun Leong

Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

统计理论 · 数学 2018-11-15 Angelos P. Armen , Robin J. Evans

We study causal discovery from observational data in linear Gaussian systems affected by \emph{mixed latent confounding}, where some unobserved factors act broadly across many variables while others influence only small subsets. This…

机器学习 · 计算机科学 2026-01-01 Amir Asiaee , Samhita Pal , James O'quinn , James P. Long

There are several existing algorithms that under appropriate assumptions can reliably identify a subset of the underlying causal relationships from observational data. This paper introduces the first computationally feasible score-based…

人工智能 · 计算机科学 2012-07-02 Subramani Mani , Peter L. Spirtes , Gregory F. Cooper

We investigate the estimation of the causal effect of a treatment variable on an outcome in the presence of a latent confounder. We first show that the causal effect is identifiable under certain conditions when data is available from…

人工智能 · 计算机科学 2025-06-16 Yaroslav Kivva , Sina Akbari , Saber Salehkaleybar , Negar Kiyavash

Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

统计方法学 · 统计学 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

We address the common yet often-overlooked selection bias in interventional studies, where subjects are selectively enrolled into experiments. For instance, participants in a drug trial are usually patients of the relevant disease; A/B…

机器学习 · 计算机科学 2025-03-11 Haoyue Dai , Ignavier Ng , Jianle Sun , Zeyu Tang , Gongxu Luo , Xinshuai Dong , Peter Spirtes , Kun Zhang

Unmeasured confounding is a fundamental obstacle to causal inference from observational data. Latent-variable methods address this challenge by imputing unobserved confounders, yet many lack explicit model-based identification guarantees…

统计计算 · 统计学 2026-03-03 Yaxin Fang , Faming Liang

We consider linear non-Gaussian structural equation models that involve latent confounding. In this setting, the causal structure is identifiable, but, in general, it is not possible to identify the specific causal effects. Instead, a…

机器学习 · 统计学 2024-08-12 Daniela Schkoda , Elina Robeva , Mathias Drton

Modern medical research demands specialized causal inference methods evaluating complex continuous-time dynamic treatment regimens using observational data. For instance, obtaining the causal effects of intravenous administration, a…

统计方法学 · 统计学 2026-04-02 Haiyan Zhu , Yingchun Zhou

The possibility of unmeasured confounding is one of the main limitations for causal inference from observational studies. There are different methods for (partially) empirically assessing the plausibility of unconfoundedness. However, most…

统计方法学 · 统计学 2025-10-28 Fernando Pires Hartwig , Kate Tilling , George Davey Smith

In this work, we propose an approach for assessing sensitivity to unobserved confounding in studies with multiple outcomes. We demonstrate how prior knowledge unique to the multi-outcome setting can be leveraged to strengthen causal…

统计方法学 · 统计学 2023-01-26 Jiajing Zheng , Jiaxi Wu , Alexander D'Amour , Alexander Franks

Unobserved confounding is one of the greatest challenges for causal discovery. The case in which unobserved variables have a widespread effect on many of the observed ones is particularly difficult because most pairs of variables are…

机器学习 · 统计学 2021-05-26 Alexis Bellot , Mihaela van der Schaar

The estimation of linear causal models (also known as structural equation models) from data is a well-known problem which has received much attention in the past. Most previous work has, however, made an explicit or implicit assumption of…

人工智能 · 计算机科学 2007-05-23 Patrik O. Hoyer , Shohei Shimizu , Antti J. Kerminen

The principal stratification has become a popular tool to address a broad class of causal inference questions, particularly in dealing with non-compliance and truncation-by-death problems. The causal effects within principal strata which…

统计方法学 · 统计学 2022-06-20 Shanshan Luo , Wei Li , Wang Miao , Yangbo He

Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

统计方法学 · 统计学 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert