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Testing the Validity of Instrumental Variable Sets in Causal Additive Models with Non-Constant Effects

非恒定效应因果加性模型中的工具变量集合有效性检验

Instrumental variable (IV) methods are powerful for causal effect estimation with unmeasured confounding, but in practice researchers often face a set of candidate IVs whose validity is difficult to determine from observational data. This paper studies the problem of testing the validity of IV sets under Causal Additive Models with Non-Constant Effects (CAM-NCE). To address this problem, we propose a testable condition, termed the Cross Auxiliary-based independence Test…

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Testability of Instrumental Variables in Additive Nonlinear, Non-Constant Effects Models

加性非线性与非常数效应模型中工具变量的可检验性

We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment is a discrete variable, e.g., instrumental inequality (Pearl, 1995), or where the effect is assumed to be constant, e.g., instrumental variables condition based on the principle of independent mechanisms (Burauel, 2023). However, treatments can often be continuous variables, such as drug dosages…

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Local Learning for Covariate Selection in Nonparametric Causal Effect Estimation with Latent Variables

存在潜变量时非参数因果效应估计的局部协变量选择

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 methods for covariate selection often assume the absence of latent variables and rely on learning the global network structure among variables. However, identifying the global structure can be unnecessary and inefficient, especially when our…

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Identification and Estimation of the Bi-Directional MR with Some Invalid Instruments

存在部分无效工具变量时双向孟德尔随机化的识别与估计

We consider the challenging problem of estimating causal effects from purely observational data in the bi-directional Mendelian randomization (MR), where some invalid instruments, as well as unmeasured confounding, usually exist. To address this problem, most existing methods attempt to find proper valid instrumental variables (IVs) for the target causal effect by expert knowledge or by assuming that the causal model is a one-directional MR model. As such, in this paper, we…

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