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Causal learning has long concerned itself with the accurate recovery of underlying causal mechanisms. Such causal modelling enables better explanations of out-of-distribution data. Prior works on causal learning assume that the high-level…

We study the problem of learning causal representations from unknown, latent interventions in a general setting, where the latent distribution is Gaussian but the mixing function is completely general. We prove strong identifiability…

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

统计理论 · 数学 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

In recent years a lot of research has been conducted within the area of causal inference and causal learning. Many methods have been developed to identify the cause-effect pairs in models and have been successfully applied to observational…

机器学习 · 统计学 2021-08-26 Benjamin Kap

Current supervised learning can learn spurious correlation during the data-fitting process, imposing issues regarding interpretability, out-of-distribution (OOD) generalization, and robustness. To avoid spurious correlation, we propose a…

机器学习 · 计算机科学 2021-04-29 Xinwei Sun , Botong Wu , Xiangyu Zheng , Chang Liu , Wei Chen , Tao Qin , Tie-yan Liu

Addressing selection bias in latent variable causal discovery is important yet underexplored, largely due to a lack of suitable statistical tools: While various tools beyond basic conditional independencies have been developed to handle…

机器学习 · 计算机科学 2025-12-15 Haoyue Dai , Yiwen Qiu , Ignavier Ng , Xinshuai Dong , Peter Spirtes , Kun Zhang

Drawing causal inference with observational studies is the central pillar of many disciplines. One sufficient condition for identifying the causal effect is that the treatment-outcome relationship is unconfounded conditional on the observed…

统计理论 · 数学 2017-01-17 Peng Ding , Tyler VanderWeele , James Robins

Causal inference from observational datasets often relies on measuring and adjusting for covariates. In practice, measurements of the covariates can often be noisy and/or biased, or only measurements of their proxies may be available.…

机器学习 · 计算机科学 2022-02-23 Wenshuo Guo , Mingzhang Yin , Yixin Wang , Michael I. Jordan

Results in epidemiology and social science often require the removal of confounding effects from measurements of the pairwise correlation of variables in survey data. This is typically accomplished by some variant of linear regression…

统计方法学 · 统计学 2025-12-02 William H. Press

Unobserved confounding is a central barrier to drawing causal inferences from observational data. Several authors have recently proposed that this barrier can be overcome in the case where one attempts to infer the effects of several…

机器学习 · 统计学 2019-03-20 Alexander D'Amour

Identifying latent variables and the causal structure involving them is essential across various scientific fields. While many existing works fall under the category of constraint-based methods (with e.g. conditional independence or rank…

机器学习 · 计算机科学 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang

What types of differences among causal structures with latent variables are impossible to distinguish by statistical data obtained by probing each visible variable? If the probing scheme is simply passive observation, then it is well-known…

机器学习 · 统计学 2024-07-03 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

Causal inference from observational data requires assumptions. These assumptions range from measuring confounders to identifying instruments. Traditionally, causal inference assumptions have focused on estimation of effects for a single…

机器学习 · 统计学 2019-03-04 Rajesh Ranganath , Adler Perotte

Most causal discovery procedures assume that there are no latent confounders in the system, which is often violated in real-world problems. In this paper, we consider a challenging scenario for causal structure identification, where some…

机器学习 · 计算机科学 2022-10-06 Biwei Huang , Charles Jia Han Low , Feng Xie , Clark Glymour , Kun Zhang

Generalized latent factor analysis not only provides a useful latent embedding approach in statistics and machine learning, but also serves as a widely used tool across various scientific fields, such as psychometrics, econometrics, and…

统计方法学 · 统计学 2025-08-11 Chengyu Cui , Gongjun Xu

We present a constraint-based algorithm for learning causal structures from observational time-series data, in the presence of latent confounders. We assume a discrete-time, stationary structural vector autoregressive process, with both…

人工智能 · 计算机科学 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

Discovering causal relationships from observational data, particularly in the presence of latent variables, poses a challenging problem. While current local structure learning methods have proven effective and efficient when the focus lies…

机器学习 · 计算机科学 2024-06-07 Feng Xie , Zheng Li , Peng Wu , Yan Zeng , Chunchen Liu , Zhi Geng

Learning high-level causal representations together with a causal model from unstructured low-level data such as pixels is impossible from observational data alone. We prove under mild assumptions that this representation is however…

机器学习 · 统计学 2022-10-12 Johann Brehmer , Pim de Haan , Phillip Lippe , Taco Cohen

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

计量经济学 · 经济学 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

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