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Instruments can be used to identify causal effects in the presence of unobserved confounding, under the famous relevance and exogeneity (unconfoundedness and exclusion) assumptions. As exogeneity is difficult to justify and to some degree…

Econometrics · Economics 2023-08-29 Christian Tien

Methods that rely on proxies, without imposing strong parametric structure, are increasingly used to deal with unobserved variables in causal inference. One influential line of this work reconstructs latent distributions used to identify…

Methodology · Statistics 2026-05-12 Helen Guo , Ilya Shpitser , Elizabeth L. Ogburn

We propose a computationally efficient estimator, formulated as a convex program, for a broad class of non-linear regression problems that involve difference of convex (DC) non-linearities. The proposed method can be viewed as a significant…

Machine Learning · Statistics 2019-04-01 Sohail Bahmani

This paper develops a method to conduct causal inference in the presence of unobserved confounders by leveraging networks with homophily, a frequently observed tendency to form edges with similar nodes. I introduce a concept of asymptotic…

Econometrics · Economics 2025-11-04 Vincent Starck

This paper introduces a simple framework of counterfactual estimation for causal inference with time-series cross-sectional data, in which we estimate the average treatment effect on the treated by directly imputing counterfactual outcomes…

Methodology · Statistics 2022-08-16 Licheng Liu , Ye Wang , Yiqing Xu

An approach to inference for relative sparsity was developed in prior work, and an adaptive lasso asymptotic normality theorem was given there, but this theorem was not fully used when estimating the variance of the policy coefficients.…

Methodology · Statistics 2026-05-05 Samuel Julian Weisenthal

In empirical research, when we have multiple estimators for the same parameter of interest, a central question arises: how do we combine unbiased but less precise estimators with biased but more precise ones to improve the inference? Under…

Methodology · Statistics 2026-02-19 Zhexiao Lin , Peter J. Bickel , Peng Ding

We consider a causal effect that is confounded by an unobserved variable, but with observed proxy variables of the confounder. We show that, with at least two independent proxy variables satisfying a certain rank condition, the causal…

Methodology · Statistics 2018-06-29 Wang Miao , Zhi Geng , Eric Tchetgen Tchetgen

This paper considers the practically important case of nonparametrically estimating heterogeneous average treatment effects that vary with a limited number of discrete and continuous covariates in a selection-on-observables framework where…

Econometrics · Economics 2019-08-26 Michael Zimmert , Michael Lechner

This paper is concerned with constructing a confidence interval for a target policy's value offline based on a pre-collected observational data in infinite horizon settings. Most of the existing works assume no unmeasured variables exist…

Machine Learning · Statistics 2022-11-07 Chengchun Shi , Jin Zhu , Ye Shen , Shikai Luo , Hongtu Zhu , Rui Song

This paper addresses the challenge of offline policy learning in reinforcement learning with continuous action spaces when unmeasured confounders are present. While most existing research focuses on policy evaluation within partially…

Machine Learning · Statistics 2025-05-02 Yuhan Li , Eugene Han , Yifan Hu , Wenzhuo Zhou , Zhengling Qi , Yifan Cui , Ruoqing Zhu

We propose a method for inferring the existence of a latent common cause ('confounder') of two observed random variables. The method assumes that the two effects of the confounder are (possibly nonlinear) functions of the confounder plus…

Machine Learning · Statistics 2012-05-14 Dominik Janzing , Jonas Peters , Joris Mooij , Bernhard Schoelkopf

In many applications of network analysis, it is important to distinguish between observed and unobserved factors affecting network structure. To this end, we develop spectral estimators for both unobserved blocks and the effect of…

Methodology · Statistics 2021-03-15 Angelo Mele , Lingxin Hao , Joshua Cape , Carey E. Priebe

It is a truth universally acknowledged that an observed association without known mechanism must be in want of a causal estimate. However, causal estimation from observational data often relies on the (untestable) assumption of `no…

Methodology · Statistics 2020-12-10 Victor Veitch , Anisha Zaveri

Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

Statistics Theory · Mathematics 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

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

Continuous treatments have posed a significant challenge for causal inference, both in the formulation and identification of scientifically meaningful effects and in their robust estimation. Traditionally, focus has been placed on…

Methodology · Statistics 2022-06-29 Nima S. Hejazi , David Benkeser , Iván Díaz , Mark J. van der Laan

Naive approaches to amortized inference in probabilistic programs with unbounded loops can produce estimators with infinite variance. This is particularly true of importance sampling inference in programs that explicitly include rejection…

We study causal effect estimation from a mixture of observational and interventional data in a confounded linear regression model with multivariate treatments. We show that the statistical efficiency in terms of expected squared error can…

In this discussion we consider why it is important to estimate causal effect parameters well even they are not identified, propose a partially identified approach for causal inference in the presence of colliders, point out an…

Methodology · Statistics 2017-11-01 Edward H. Kennedy , Sivaraman Balakrishnan
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