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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

Discovering the complete set of causal relations among a group of variables is a challenging unsupervised learning problem. Often, this challenge is compounded by the fact that there are latent or hidden confounders. When only observational…

机器学习 · 计算机科学 2021-01-19 Anqi Liu , Hao Liu , Tongxin Li , Saeed Karimi-Bidhendi , Yisong Yue , Anima Anandkumar

We propose a formal model for counterfactual estimation with unobserved confounding in "data-rich" settings, i.e., where there are a large number of units and a large number of measurements per unit. Our model provides a bridge between the…

计量经济学 · 经济学 2025-04-03 Alberto Abadie , Anish Agarwal , Devavrat Shah

Model explanations based on pure observational data cannot compute the effects of features reliably, due to their inability to estimate how each factor alteration could affect the rest. We argue that explanations should be based on the…

机器学习 · 统计学 2019-09-20 Álvaro Parafita , Jordi Vitrià

Causal discovery from data affected by latent confounders is an important and difficult challenge. Causal functional model-based approaches have not been used to present variables whose relationships are affected by latent confounders,…

机器学习 · 计算机科学 2020-11-05 Takashi Nicholas Maeda , Shohei Shimizu

Instrumental variables have proven useful, in particular within the social sciences and economics, for making inference about the causal effect of a random variable, B, on another random variable, C, in the presence of unobserved…

统计方法学 · 统计学 2012-06-26 Roland R. Ramsahai

When estimating causal effects from observational studies, researchers often need to adjust for many covariates to deconfound the non-causal relationship between exposure and outcome, among which many covariates are discrete. The behavior…

统计理论 · 数学 2024-05-07 Zhenghao Zeng , Sivaraman Balakrishnan , Yanjun Han , Edward H. Kennedy

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

Confounding seriously impairs our ability to learn about causal relations from observational data. Confounding can be defined as a statistical association between two variables due to inputs from a common source (the confounder). For…

统计方法学 · 统计学 2018-05-17 Anders Ledberg

A widely applied approach to causal inference from a non-experimental time series $X$, often referred to as "(linear) Granger causal analysis", is to regress present on past and interpret the regression matrix $\hat{B}$ causally. However,…

机器学习 · 统计学 2015-12-23 Philipp Geiger , Kun Zhang , Mingming Gong , Dominik Janzing , Bernhard Schölkopf

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

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

统计方法学 · 统计学 2025-04-17 Jing Zou , Wei Li , Wei Lin

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…

机器学习 · 统计学 2026-01-22 Felix Schur , Niklas Pfister , Peng Ding , Sach Mukherjee , Jonas Peters

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

机器学习 · 统计学 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Conventional methods in causal effect inferencetypically rely on specifying a valid set of control variables. When this set is unknown or misspecified, inferences will be erroneous. We propose a method for inferring average causal effects…

统计方法学 · 统计学 2021-06-14 Ludvig Hult , Dave Zachariah

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

统计方法学 · 统计学 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

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

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

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal discovery can help inferring properties of the `unobserved joint distributions'…

机器学习 · 统计学 2023-05-12 Dominik Janzing , Philipp M. Faller , Leena Chennuru Vankadara

This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

计量经济学 · 经济学 2021-10-14 Yingjie Feng