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We introduce Invariant Risk Minimization (IRM), a learning paradigm to estimate invariant correlations across multiple training distributions. To achieve this goal, IRM learns a data representation such that the optimal classifier, on top…

Machine Learning · Statistics 2020-03-31 Martin Arjovsky , Léon Bottou , Ishaan Gulrajani , David Lopez-Paz

Empirical risk minimization can lead to poor generalization behavior on unseen environments if the learned model does not capture invariant feature representations. Invariant risk minimization (IRM) is a recent proposal for discovering…

Machine Learning · Computer Science 2023-10-24 Francesco Alesiani , Shujian Yu , Mathias Niepert

Learning models that are robust to distribution shifts is a key concern in the context of their real-life applicability. Invariant Risk Minimization (IRM) is a popular framework that aims to learn robust models from multiple environments.…

Machine Learning · Computer Science 2023-04-04 Moulik Choraria , Ibtihal Ferwana , Ankur Mani , Lav R. Varshney

The performance of machine learning models can be impacted by changes in data over time. A promising approach to address this challenge is invariant learning, with a particular focus on a method known as invariant risk minimization (IRM).…

Machine Learning · Computer Science 2024-04-09 Wenlu Tang , Zicheng Liu

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

Invariant risk minimization (IRM) (Arjovsky et al., 2019) is a recently proposed framework designed for learning predictors that are invariant to spurious correlations across different training environments. Yet, despite its theoretical…

Machine Learning · Statistics 2020-07-07 Yo Joong Choe , Jiyeon Ham , Kyubyong Park

The Invariant Risk Minimization (IRM) framework aims to learn invariant features from a set of environments for solving the out-of-distribution (OOD) generalization problem. The underlying assumption is that the causal components of the…

Machine Learning · Computer Science 2021-12-28 Moulik Choraria , Ibtihal Ferwana , Ankur Mani , Lav R. Varshney

Invariant learning is a promising approach to improve domain generalization compared to Empirical Risk Minimization (ERM). However, most invariant learning methods rely on the assumption that training examples are pre-partitioned into…

Machine Learning · Computer Science 2025-04-23 Phuong Quynh Le , Christin Seifert , Jörg Schlötterer

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

Machine Learning · Computer Science 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

The application of machine learning models can be significantly impeded by the occurrence of distributional shifts, as the assumption of homogeneity between the population of training and testing samples in machine learning and statistics…

Machine Learning · Statistics 2023-06-06 Wenlu Tang , Zicheng Liu

We study the problem of invariant learning when the environment labels are unknown. We focus on the invariant representation notion when the Bayes optimal conditional label distribution is the same across different environments. Previous…

Machine Learning · Computer Science 2022-08-09 Aayush Mishra , Anqi Liu

The success of supervised learning hinges on the assumption that the training and test data come from the same underlying distribution, which is often not valid in practice due to potential distribution shift. In light of this, most…

Machine Learning · Computer Science 2021-04-06 Bo Li , Yezhen Wang , Shanghang Zhang , Dongsheng Li , Trevor Darrell , Kurt Keutzer , Han Zhao

We consider learning from labeled data collected across multiple environments, where the data distribution may vary across these environments. This problem is commonly approached from a causal perspective, seeking invariant representations…

Machine Learning · Statistics 2026-04-30 Yuli Slavutsky , David M. Blei

This paper proposes Mutual Information Regularized Assignment (MIRA), a pseudo-labeling algorithm for unsupervised representation learning inspired by information maximization. We formulate online pseudo-labeling as an optimization problem…

Computer Vision and Pattern Recognition · Computer Science 2022-11-07 Dong Hoon Lee , Sungik Choi , Hyunwoo Kim , Sae-Young Chung

Empirical Risk Minimization (ERM) based machine learning algorithms have suffered from weak generalization performance on data obtained from out-of-distribution (OOD). To address this problem, Invariant Risk Minimization (IRM) objective was…

Machine Learning · Computer Science 2021-03-25 Jun-Hyun Bae , Inchul Choi , Minho Lee

Machine learning models often generalize poorly to out-of-distribution (OOD) data as a result of relying on features that are spuriously correlated with the label during training. Recently, the technique of Invariant Risk Minimization (IRM)…

Machine Learning · Computer Science 2023-01-18 Dongsung Huh , Avinash Baidya

Invariant risk minimization (IRM) aims to enable out-of-distribution (OOD) generalization in deep learning by learning invariant representations. As IRM poses an inherently challenging bi-level optimization problem, most existing approaches…

Machine Learning · Computer Science 2025-05-26 Kotaro Yoshida , Konstantinos Slavakis

Machine learning algorithms with empirical risk minimization usually suffer from poor generalization performance due to the greedy exploitation of correlations among the training data, which are not stable under distributional shifts.…

Machine Learning · Computer Science 2021-06-18 Jiashuo Liu , Zheyuan Hu , Peng Cui , Bo Li , Zheyan Shen

The recently advanced unsupervised learning approaches use the siamese-like framework to compare two "views" from the same image for learning representations. Making the two views distinctive is a core to guarantee that unsupervised methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-18 Zhiqiang Shen , Zechun Liu , Zhuang Liu , Marios Savvides , Trevor Darrell , Eric Xing

Enhancing node-level Out-Of-Distribution (OOD) generalization on graphs remains a crucial area of research. In this paper, we develop a Structural Causal Model (SCM) to theoretically dissect the performance of two prominent invariant…

Machine Learning · Computer Science 2025-01-06 Qixun Wang , Yifei Wang , Yisen Wang , Xianghua Ying
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