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Related papers: Causal Modeling with Stochastic Confounders

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This article studies the estimation of the causal effect of a time-varying treatment on time-to-an-event or on some other continuously distributed outcome. The paper applies to the situation where treatment is repeatedly adapted to…

Statistics Theory · Mathematics 2008-06-19 Judith J. Lok

Causal inference from longitudinal observational data is a challenging problem due to the difficulty in correctly identifying the time-dependent confounders, especially in the presence of latent time-dependent confounders. Instrumental…

Machine Learning · Computer Science 2023-12-13 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Jixue Liu , Wentao Gao , Thuc Duy Le

Causal representation learning aims to unveil latent high-level causal representations from observed low-level data. One of its primary tasks is to provide reliable assurance of identifying these latent causal models, known as…

Machine Learning · Computer Science 2024-12-02 Yuhang Liu , Zhen Zhang , Dong Gong , Mingming Gong , Biwei Huang , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

Inferring causal relationships from observed data is an important task, yet it becomes challenging when the data is subject to various external interferences. Most of these interferences are the additional effects of external factors on…

Machine Learning · Computer Science 2025-11-14 Ruichu Cai , Xiaokai Huang , Wei Chen , Zijian Li , Zhifeng Hao

We address the problem of causal effect estimation where hidden confounders are present, with a focus on two settings: instrumental variable regression with additional observed confounders, and proxy causal learning. Our approach uses a…

Machine Learning · Computer Science 2025-03-12 Haotian Sun , Antoine Moulin , Tongzheng Ren , Arthur Gretton , Bo Dai

Causality lays the foundation for the trajectory of our world. Causal inference (CI), which aims to infer intrinsic causal relations among variables of interest, has emerged as a crucial research topic. Nevertheless, the lack of observation…

Machine Learning · Computer Science 2024-06-21 Yaochen Zhu , Yinhan He , Jing Ma , Mengxuan Hu , Sheng Li , Jundong Li

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…

Artificial Intelligence · Computer Science 2007-05-23 Patrik O. Hoyer , Shohei Shimizu , Antti J. Kerminen

We consider the problem of estimating the causal effect of a treatment on an outcome in linear structural causal models (SCM) with latent confounders when we have access to a single proxy variable. Several methods (such as…

Computational Engineering, Finance, and Science · Computer Science 2023-06-13 Yaroslav Kivva , Saber Salehkaleybar , Negar Kiyavash

Causal inference from observational data often assumes "ignorability," that all confounders are observed. This assumption is standard yet untestable. However, many scientific studies involve multiple causes, different variables whose…

Machine Learning · Statistics 2019-04-16 Yixin Wang , David M. Blei

Causal inference relies on the untestable assumption of no unmeasured confounding. Sensitivity analysis can be used to quantify the impact of unmeasured confounding on causal estimates. Among sensitivity analysis methods proposed in the…

Methodology · Statistics 2026-03-12 Yushu Zou , Liangyuan Hu , Amanda Ricciuto , Mark Deneau , Kuan Liu

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…

Machine Learning · Statistics 2024-08-12 Daniela Schkoda , Elina Robeva , Mathias Drton

Making causal inferences from observational studies can be challenging when confounders are missing not at random. In such cases, identifying causal effects is often not guaranteed. Motivated by a real example, we consider a…

Methodology · Statistics 2023-10-31 Jian Sun , Bo Fu

Estimating causal effects from nonexperimental data is a fundamental problem in many fields of science. A key component of this task is selecting an appropriate set of covariates for confounding adjustment to avoid bias. Most existing…

Machine Learning · Computer Science 2025-10-28 Zheng Li , Xichen Guo , Feng Xie , Yan Zeng , Hao Zhang , Zhi Geng

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

Methodology · Statistics 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

Estimating causal effects under networked interference from observational data is a crucial yet challenging problem. Most existing methods mainly rely on the networked unconfoundedness assumption, which guarantees the identification of…

Machine Learning · Computer Science 2026-01-28 Weilin Chen , Ruichu Cai , Jie Qiao , Yuguang Yan , José Miguel Hernández-Lobato

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…

Machine Learning · Computer Science 2025-10-28 Wei Chen , Linjun Peng , Zhiyi Huang , Haoyue Dai , Zhifeng Hao , Ruichu Cai , Kun Zhang

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…

Artificial Intelligence · Computer Science 2025-06-16 Yaroslav Kivva , Sina Akbari , Saber Salehkaleybar , Negar Kiyavash

One obstacle to ``elevating" correlation to causation is the phenomenon of confounding, i.e., when a correlation between two variables exists because both variables are in fact caused by a third variable. The situation where the confounders…

Applications · Statistics 2025-06-24 Caren Marzban , Yikun Zhang , Nicholas Bond , Michael Richman

We address the problem of estimating causal effects from observational data in the presence of network confounding, a setting where both treatment assignment and observed outcomes of individuals may be influenced by their neighbors within a…

Machine Learning · Computer Science 2026-03-24 Abhishek Dalvi , Neil Ashtekar , Vasant Honavar

We study the problem of estimating causal effects under hidden confounding in the following unpaired data setting: we observe some covariates $X$ and an outcome $Y$ under different experimental conditions (environments) but do not observe…

Machine Learning · Statistics 2026-01-22 Felix Schur , Niklas Pfister , Peng Ding , Sach Mukherjee , Jonas Peters