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Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

Methodology · Statistics 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert

Estimating causal models from observational data is a crucial task in data analysis. For continuous-valued data, Shimizu et al. have proposed a linear acyclic non-Gaussian model to understand the data generating process, and have shown that…

Machine Learning · Computer Science 2018-02-19 Chao Li , Shohei Shimizu

Recovering causal structure in the presence of latent variables is an important but challenging task. While many methods have been proposed to handle it, most of them require strict and/or untestable assumptions on the causal structure. In…

Machine Learning · Computer Science 2025-10-28 Wei Chen , Linjun Peng , Zhiyi Huang , Haoyue Dai , Zhifeng Hao , Ruichu Cai , Kun Zhang

Discovering a unique causal structure is difficult due to both inherent identifiability issues, and the consequences of finite data. As such, uncertainty over causal structures, such as those obtained from a Bayesian posterior, are often…

Machine Learning · Computer Science 2025-03-06 Anish Dhir , Matthew Ashman , James Requeima , Mark van der Wilk

As large language models (LLMs) gain popularity in conducting prediction tasks in-context, understanding the sources of uncertainty in in-context learning becomes essential to ensuring reliability. The recent hypothesis of in-context…

Machine Learning · Statistics 2025-12-08 I. Shavindra Jayasekera , Jacob Si , Filippo Valdettaro , Wenlong Chen , A. Aldo Faisal , Yingzhen Li

The task of inferring high-level causal variables from low-level observations, commonly referred to as causal representation learning, is fundamentally underconstrained. As such, recent works to address this problem focus on various…

Machine Learning · Statistics 2024-03-26 Simon Bing , Urmi Ninad , Jonas Wahl , Jakob Runge

Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

Machine Learning · Computer Science 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel

Latent confounders---unobserved variables that influence both treatment and outcome---can bias estimates of causal effects. In some cases, these confounders are shared across observations, e.g. all students taking a course are influenced by…

Methodology · Statistics 2020-07-15 Sam Witty , Kenta Takatsu , David Jensen , Vikash Mansinghka

This paper investigates causal effect identification in latent variable Linear Non-Gaussian Acyclic Models (lvLiNGAM) using higher-order cumulants, addressing two prominent setups that are challenging in the presence of latent confounding:…

Machine Learning · Statistics 2025-06-09 Daniele Tramontano , Yaroslav Kivva , Saber Salehkaleybar , Mathias Drton , Negar Kiyavash

This paper addresses the problem of estimating causal directed acyclic graphs in linear non-Gaussian acyclic models with latent confounders (LvLiNGAM). Existing methods assume mutually independent latent confounders or cannot properly…

Machine Learning · Computer Science 2025-10-17 Ming Cai , Penggang Gao , Hisayuki Hara

Learning dependence relationships among variables of mixed types provides insights in a variety of scientific settings and is a well-studied problem in statistics. Existing methods, however, typically rely on copious, high quality data to…

Applications · Statistics 2019-07-25 Zehang Richard Li , Tyler H. McCormick , Samuel J. Clark

Accurately predicting counterfactual user feedback is essential for building effective recommender systems. However, latent confounding bias can obscure the true causal relationship between user feedback and item exposure, ultimately…

Information Retrieval · Computer Science 2025-05-23 Jianfeng Deng , Qingfeng Chen , Debo Cheng , Jiuyong Li , Lin Liu , Shichao Zhang

Unobserved discrete data are ubiquitous in many scientific disciplines, and how to learn the causal structure of these latent variables is crucial for uncovering data patterns. Most studies focus on the linear latent variable model or…

Machine Learning · Computer Science 2024-06-12 Zhengming Chen , Ruichu Cai , Feng Xie , Jie Qiao , Anpeng Wu , Zijian Li , Zhifeng Hao , Kun Zhang

We investigate the estimation of the causal effect of a treatment variable on an outcome in the presence of a latent confounder. We first show that the causal effect is identifiable under certain conditions when data is available from…

Artificial Intelligence · Computer Science 2025-06-16 Yaroslav Kivva , Sina Akbari , Saber Salehkaleybar , Negar Kiyavash

Constraint-based causal discovery is widely used for learning causal structures, but heavy reliance on conditional independence (CI) testing makes it computationally expensive in high-dimensional settings. To mitigate this limitation, many…

Machine Learning · Computer Science 2026-05-12 Zheng Li , Feng Xie , Shenglan Nie , Xichen Guo , Ruxin Wang , Hao Zhang

This paper presents a novel approach that leverages domain variability to learn representations that are conditionally invariant to unwanted variability or distractors. Our approach identifies both spurious and invariant latent features…

Machine Learning · Computer Science 2023-07-04 Hananeh Aliee , Ferdinand Kapl , Soroor Hediyeh-Zadeh , Fabian J. Theis

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee

In many fields$\unicode{x2013}$including genomics, epidemiology, natural language processing, social and behavioral sciences, and economics$\unicode{x2013}$it is increasingly important to address causal questions in the context of factor…

Methodology · Statistics 2025-06-30 Jenna M. Landy , Dafne Zorzetto , Roberta De Vito , Giovanni Parmigiani

This paper describes a Bayesian method for combining an arbitrary mixture of observational and experimental data in order to learn causal Bayesian networks. Observational data are passively observed. Experimental data, such as that produced…

Artificial Intelligence · Computer Science 2013-01-30 Gregory F. Cooper , Changwon Yoo

We consider recovering causal structure from multivariate observational data. We assume the data arise from a linear structural equation model (SEM) in which the idiosyncratic errors are allowed to be dependent in order to capture possible…

Methodology · Statistics 2021-11-11 Y. Samuel Wang , Mathias Drton
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