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Most causal discovery algorithms find causal structure among a set of observed variables. Learning the causal structure among latent variables remains an important open problem, particularly when using high-dimensional data. In this paper,…

Machine Learning · Computer Science 2020-09-09 Jonathan D. Young , Bryan Andrews , Gregory F. Cooper , Xinghua Lu

Causal representation learning is the task of identifying the underlying causal variables and their relations from high-dimensional observations, such as images. Recent work has shown that one can reconstruct the causal variables from…

Machine Learning · Computer Science 2023-03-09 Phillip Lippe , Sara Magliacane , Sindy Löwe , Yuki M. Asano , Taco Cohen , Efstratios Gavves

Many causal systems such as biological processes in cells can only be observed indirectly via measurements, such as gene expression. Causal representation learning -- the task of correctly mapping low-level observations to latent causal…

Machine Learning · Computer Science 2025-10-31 Elliot Layne , Jason Hartford , Sébastien Lachapelle , Mathieu Blanchette , Dhanya Sridhar

Recently in the field of unsupervised representation learning, strong identifiability results for disentanglement of causally-related latent variables have been established by exploiting certain side information, such as class labels, in…

Machine Learning · Computer Science 2022-10-26 Weiran Yao , Guangyi Chen , Kun Zhang

Graph data often contain noisy and spurious correlations that mask the true causal relationships, which are essential for enabling graph models to make predictions based on the underlying causal structure of the data. Dependence on spurious…

Machine Learning · Computer Science 2026-02-23 Simi Job , Xiaohui Tao , Taotao Cai , Haoran Xie , Jianming Yong

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…

Machine Learning · Statistics 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

Machine Learning · Statistics 2026-05-15 Francesco Montagna

One of the central elements of any causal inference is an object called structural causal model (SCM), which represents a collection of mechanisms and exogenous sources of random variation of the system under investigation (Pearl, 2000). An…

Machine Learning · Computer Science 2022-10-05 Kevin Xia , Kai-Zhan Lee , Yoshua Bengio , Elias Bareinboim

Identifying the causal variables of an environment and how to intervene on them is of core value in applications such as robotics and embodied AI. While an agent can commonly interact with the environment and may implicitly perturb the…

Machine Learning · Computer Science 2023-06-19 Phillip Lippe , Sara Magliacane , Sindy Löwe , Yuki M. Asano , Taco Cohen , Efstratios Gavves

Data often has many semantic attributes that are causally associated with each other. But do attribute-specific learned representations of data also respect the same causal relations? We answer this question in three steps. First, we…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Lan Wang , Vishnu Naresh Boddeti

Causal models provide rich descriptions of complex systems as sets of mechanisms by which each variable is influenced by its direct causes. They support reasoning about manipulating parts of the system and thus hold promise for addressing…

Machine Learning · Computer Science 2024-06-21 Julius von Kügelgen

Visual representations underlie object recognition tasks, but they often contain both robust and non-robust features. Our main observation is that image classifiers may perform poorly on out-of-distribution samples because spurious…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Chengzhi Mao , Kevin Xia , James Wang , Hao Wang , Junfeng Yang , Elias Bareinboim , Carl Vondrick

Learning causal representations from observational and interventional data in the absence of known ground-truth graph structures necessitates implicit latent causal representation learning. Implicit learning of causal mechanisms typically…

Machine Learning · Computer Science 2024-08-19 Shayan Shirahmad Gale Bagi , Zahra Gharaee , Oliver Schulte , Mark Crowley

Promising results have driven a recent surge of interest in continuous optimization methods for Bayesian network structure learning from observational data. However, there are theoretical limitations on the identifiability of underlying…

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Parametric system identification methods estimate the parameters of explicitly defined physical systems from data. Yet, they remain constrained by the need to provide an explicit function space, typically through a predefined library of…

Machine Learning · Computer Science 2026-03-17 Markus W. Baumgartner , Anson Lei , Joe Watson , Ingmar Posner

Understanding climate dynamics requires going beyond correlations in observational data to uncover their underlying causal process. Latent drivers, such as atmospheric processes, play a critical role in temporal dynamics, while direct…

Machine Learning · Computer Science 2025-10-10 Minghao Fu , Biwei Huang , Zijian Li , Yujia Zheng , Ignavier Ng , Guangyi Chen , Yingyao Hu , Kun Zhang

The process of generating data such as images is controlled by independent and unknown factors of variation. The retrieval of these variables has been studied extensively in the disentanglement, causal representation learning, and…

Machine Learning · Computer Science 2023-09-26 Gaël Gendron , Michael Witbrock , Gillian Dobbie

We consider linear structural equation models with explicitly modelled latent variables. In such models, observed and latent variables solve linear equations including stochastic noise terms. The goal of our work is to identify the direct…

Methodology · Statistics 2026-05-28 Tom Hochsprung , Nils Sturma , Jakob Runge , Mathias Drton , Andreas Gerhardus

Prevalent in biomedical applications (e.g., human phenotype research), multimodal datasets can provide valuable insights into the underlying physiological mechanisms. However, current machine learning (ML) models designed to analyze these…