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One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

机器学习 · 统计学 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

It is important to draw causal inference from observational studies, which, however, becomes challenging if the confounders have missing values. Generally, causal effects are not identifiable if the confounders are missing not at random. We…

统计方法学 · 统计学 2019-02-04 Shu Yang , Linbo Wang , Peng Ding

Understanding causal mechanisms is crucial for explaining and generalizing empirical phenomena. Causal mediation analysis offers statistical techniques to quantify the mediation effects. Although numerous methods have been developed for…

统计方法学 · 统计学 2026-05-12 Jiawei Fu

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…

统计方法学 · 统计学 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

Learning causal relationships between variables is a well-studied problem in statistics, with many important applications in science. However, modeling real-world systems remain challenging, as most existing algorithms assume that the…

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

机器学习 · 计算机科学 2024-09-13 Antti Pöllänen , Pekka Marttinen

Unobserved confounding presents a major threat to causal inference from observational studies. Recently, several authors suggest that this problem may be overcome in a shared confounding setting where multiple treatments are independent…

统计方法学 · 统计学 2020-11-25 Dehan Kong , Shu Yang , Linbo Wang

Estimating causal effects from observational data is inherently challenging due to the lack of observable counterfactual outcomes and even the presence of unmeasured confounding. Traditional methods often rely on restrictive, untestable…

统计方法学 · 统计学 2025-04-07 Li Chen , Xiaotong Shen , Wei Pan

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

机器学习 · 计算机科学 2025-08-01 Maurits Kaptein

Causal mediation analysis has historically been limited in two important ways: (i) a focus has traditionally been placed on binary treatments and static interventions, and (ii) direct and indirect effect decompositions have been pursued…

统计方法学 · 统计学 2022-01-13 Nima S. Hejazi , Kara E. Rudolph , Mark J. van der Laan , Iván Díaz

Although nonstationary data are more common in the real world, most existing causal discovery methods do not take nonstationarity into consideration. In this letter, we propose a kernel embedding-based approach, ENCI, for nonstationary…

机器学习 · 统计学 2018-09-25 Shoubo Hu , Zhitang Chen , Laiwan Chan

Causal inference on multiple non-independent outcomes raises serious challenges, because multivariate techniques that properly account for the outcome's dependence structure need to be considered. We focus on the case of binary outcomes…

统计方法学 · 统计学 2018-05-11 Monia Lupparelli , Alessandra Mattei

Nonlinear independent component analysis (ICA) provides an appealing framework for unsupervised feature learning, but the models proposed so far are not identifiable. Here, we first propose a new intuitive principle of unsupervised deep…

机器学习 · 统计学 2016-05-23 Aapo Hyvarinen , Hiroshi Morioka

In real-life statistical data, it seems that conditional probabilities for the effect given their causes tend to be less complex and smoother than conditionals for causes, given their effects. We have recently proposed and tested methods…

统计力学 · 物理学 2009-01-30 Dominik Janzing

Many frameworks exist to infer cause and effect relations in complex nonlinear systems but a complete theory is lacking. A new framework is presented that is fully nonlinear, provides a complete information theoretic disentanglement of…

统计方法学 · 统计学 2022-01-12 Peter Jan van Leeuwen , Michael DeCaria , Nachiketa Chakaborty , Manuel Pulido

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

统计方法学 · 统计学 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

Causal inference is fundamental across scientific disciplines, yet existing methods struggle to capture instantaneous, time-evolving causal relationships in complex, high-dimensional systems. In this paper, assimilative causal inference…

机器学习 · 计算机科学 2026-02-23 Marios Andreou , Nan Chen , Erik Bollt

Causal inference is widely used in various fields, such as biology, psychology and economics, etc. In observational studies, we need to balance the covariates before estimating causal effect. This study extends the one-dimensional entropy…

统计方法学 · 统计学 2022-05-19 Juan Chen , Yingchun Zhou

In many observational studies, researchers are often interested in studying the effects of multiple exposures on a single outcome. Standard approaches for high-dimensional data such as the lasso assume the associations between the exposures…

统计方法学 · 统计学 2025-11-06 Dingke Tang , Dehan Kong , Linbo Wang

Inferring the causal direction between two variables from their observation data is one of the most fundamental and challenging topics in data science. A causal direction inference algorithm maps the observation data into a binary value…

机器学习 · 计算机科学 2020-06-08 Yulai Zhang , Jiachen Wang , Gang Cen , Guiming Luo