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An important problem in many domains is to predict how a system will respond to interventions. This task is inherently linked to estimating the system's underlying causal structure. To this end, Invariant Causal Prediction (ICP) (Peters et…

Methodology · Statistics 2018-09-21 Christina Heinze-Deml , Jonas Peters , Nicolai Meinshausen

We consider the task of identifying the causal parents of a target variable among a set of candidates from observational data. Our main assumption is that the candidate variables are observed in different environments which may, under…

Machine Learning · Computer Science 2024-09-02 Alexander Mey , Rui Manuel Castro

Selecting powerful predictors for an outcome is a cornerstone task for machine learning. However, some types of questions can only be answered by identifying the predictors that causally affect the outcome. A recent approach to this causal…

Machine Learning · Computer Science 2022-03-01 Guillaume Martinet , Alexander Strzalkowski , Barbara E. Engelhardt

In real-world applications, it is important and desirable to learn a model that performs well on out-of-distribution (OOD) data. Recently, causality has become a powerful tool to tackle the OOD generalization problem, with the idea resting…

Machine Learning · Statistics 2022-03-25 Ruoyu Wang , Mingyang Yi , Zhitang Chen , Shengyu Zhu

Consider learning an imitation policy on the basis of demonstrated behavior from multiple environments, with an eye towards deployment in an unseen environment. Since the observable features from each setting may be different, directly…

Machine Learning · Statistics 2023-11-06 Ioana Bica , Daniel Jarrett , Mihaela van der Schaar

Invariant causal prediction (ICP) is a popular technique for finding causal parents (direct causes) of a target via exploiting distribution shifts and invariance testing (Peters et al., 2016). However, since ICP needs to run an exponential…

Machine Learning · Computer Science 2024-12-30 Minh Nguyen , Mert R. Sabuncu

A fundamental difficulty of causal learning is that causal models can generally not be fully identified based on observational data only. Interventional data, that is, data originating from different experimental environments, improves…

Methodology · Statistics 2021-11-04 Juan L. Gamella , Christina Heinze-Deml

Invariant Causal Prediction (Peters et al., 2016) is a technique for out-of-distribution generalization which assumes that some aspects of the data distribution vary across the training set but that the underlying causal mechanisms remain…

Machine Learning · Computer Science 2021-03-30 Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

Due to spurious correlations, machine learning systems often fail to generalize to environments whose distributions differ from the ones used at training time. Prior work addressing this, either explicitly or implicitly, attempted to find a…

Machine Learning · Computer Science 2022-10-19 Chaochao Lu , Yuhuai Wu , Jośe Miguel Hernández-Lobato , Bernhard Schölkopf

Pursuing invariant prediction from heterogeneous environments opens the door to learning causality in a purely data-driven way and has several applications in causal discovery and robust transfer learning. However, existing methods such as…

Statistics Theory · Mathematics 2025-01-30 Yihong Gu , Cong Fang , Yang Xu , Zijian Guo , Jianqing Fan

Invariant learning methods, aimed at identifying a consistent predictor across multiple environments, are gaining prominence in out-of-distribution (OOD) generalization. Yet, when environments aren't inherent in the data, practitioners must…

Machine Learning · Computer Science 2024-05-24 Yufan Liao , Qi Wu , Zhaodi Wu , Xing Yan

Learning causal structure from observational data is a fundamental challenge in machine learning. However, the majority of commonly used differentiable causal discovery methods are non-identifiable, turning this problem into a continuous…

Machine Learning · Computer Science 2022-09-30 Yu Wang , An Zhang , Xiang Wang , Yancheng Yuan , Xiangnan He , Tat-Seng Chua

It has become increasingly common nowadays to collect observations of feature and response pairs from different environments. As a consequence, one has to apply learned predictors to data with a different distribution due to distribution…

Methodology · Statistics 2023-10-31 Kang Du , Yu Xiang

In the past decades, machine learning with Empirical Risk Minimization (ERM) has demonstrated great capability in learning and exploiting the statistical patterns from data, or even surpassing humans. Despite the success, ERM avoids the…

Machine Learning · Computer Science 2025-06-17 Yongqiang Chen

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

Recently, methods have been proposed that exploit the invariance of prediction models with respect to changing environments to infer subsets of the causal parents of a response variable. If the environments influence only few of the…

Methodology · Statistics 2022-07-11 Phillip B. Mogensen , Nikolaj Thams , Jonas Peters

Discovering causal relationships from observational data is a fundamental yet challenging task. Invariant causal prediction (ICP, Peters et al., 2016) is a method for causal feature selection which requires data from heterogeneous settings…

Methodology · Statistics 2024-09-06 Lucas Kook , Sorawit Saengkyongam , Anton Rask Lundborg , Torsten Hothorn , Jonas Peters

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

The extraction of invariant causal relationships from time series data with environmental attributes is critical for robust decision-making in domains such as climate science and environmental monitoring. However, existing methods either…

Machine Learning · Computer Science 2026-03-04 Ziruo Hao , Tao Yang , Xiaofeng Wu , Bo Hu
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