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Related papers: Nonlinear Invariant Risk Minimization: A Causal Ap…

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Pursuing causality from data is a fundamental problem in scientific discovery, treatment intervention, and transfer learning. This paper introduces a novel algorithmic method for addressing nonparametric invariance and causality learning in…

Statistics Theory · Mathematics 2025-11-18 Yihong Gu , Cong Fang , Peter Bühlmann , Jianqing Fan

A crucial aspect in reliable machine learning is to design a deployable system in generalizing new related but unobserved environments. Domain generalization aims to alleviate such a prediction gap between the observed and unseen…

Machine Learning · Computer Science 2021-06-01 Changjian Shui , Boyu Wang , Christian Gagné

Identifying the causal relationship among variables from observational data is an important yet challenging task. This work focuses on identifying the direct causes of an outcome and estimating their magnitude, i.e., learning the causal…

Methodology · Statistics 2026-01-08 Zhenyu Wang , Yifan Hu , Peter Bühlmann , Zijian Guo

Graph out-of-distribution (OOD) generalization remains a major challenge in graph learning since graph neural networks (GNNs) often suffer from severe performance degradation under distribution shifts. Invariant learning, aiming to extract…

Machine Learning · Computer Science 2025-02-14 Wenyu Mao , Jiancan Wu , Haoyang Liu , Yongduo Sui , Xiang Wang

Causal representation learning has attracted significant research interest during the past few years, as a means for improving model generalization and robustness. Causal representations of interventional image pairs (also called…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Panagiotis Alimisis , Christos Diou

Out-of-distribution generalization under distributional shifts remains a critical challenge for graph neural networks. Existing methods generally adopt the Invariant Risk Minimization (IRM) framework, requiring costly environment…

Machine Learning · Computer Science 2025-10-24 Yang Qiu , Yixiong Zou , Jun Wang , Wei Liu , Xiangyu Fu , Ruixuan Li

One method for obtaining generalizable solutions to machine learning tasks when presented with diverse training environments is to find \textit{invariant representations} of the data. These are representations of the covariates such that…

Machine Learning · Computer Science 2022-08-16 Advait Parulekar , Karthikeyan Shanmugam , Sanjay Shakkottai

Since distribution shifts are common in real-world applications, there is a pressing need to develop prediction models that are robust against such shifts. Existing frameworks, such as empirical risk minimization or distributionally robust…

Methodology · Statistics 2025-03-25 Xinwei Shen , Peter Bühlmann , Armeen Taeb

Despite the increasing relevance of forecasting methods, causal implications of these algorithms remain largely unexplored. This is concerning considering that, even under simplifying assumptions such as causal sufficiency, the statistical…

This work considers the out-of-distribution (OOD) prediction problem where (1)~the training data are from multiple domains and (2)~the test domain is unseen in the training. DNNs fail in OOD prediction because they are prone to pick up…

Machine Learning · Computer Science 2021-02-24 Ruocheng Guo , Pengchuan Zhang , Hao Liu , Emre Kiciman

Out-Of-Distribution generalization (OOD) is all about learning invariance against environmental changes. If the context in every class is evenly distributed, OOD would be trivial because the context can be easily removed due to an…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Jiaxin Qi , Kaihua Tang , Qianru Sun , Xian-Sheng Hua , Hanwang Zhang

Improving generalization and achieving highly predictive, robust machine learning models necessitates learning the underlying causal structure of the variables of interest. A prominent and effective method for this is learning invariant…

Machine Learning · Computer Science 2024-11-12 Jawad Chowdhury , Gabriel Terejanu

Due to the challenge posed by multi-source and heterogeneous data collected from diverse environments, causal relationships among features can exhibit variations influenced by different time spans, regions, or strategies. This diversity…

Machine Learning · Computer Science 2025-02-11 Lu Liu , Yang Tang , Kexuan Zhang , Qiyu Sun

Out-of-distribution (OOD) generalisation aims to build a model that can generalise well on an unseen target domain using knowledge from multiple source domains. To this end, the model should seek the causal dependence between inputs and…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Toan Nguyen , Kien Do , Duc Thanh Nguyen , Bao Duong , Thin Nguyen

We study causal inference in a multi-environment setting, in which the functional relations for producing the variables from their direct causes remain the same across environments, while the distribution of exogenous noises may vary. We…

Machine Learning · Computer Science 2017-05-29 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , 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

Traditional machine learning paradigms are based on the assumption that both training and test data follow the same statistical pattern, which is mathematically referred to as Independent and Identically Distributed ($i.i.d.$). However, in…

Machine Learning · Computer Science 2023-07-28 Jiashuo Liu , Zheyan Shen , Yue He , Xingxuan Zhang , Renzhe Xu , Han Yu , Peng Cui

We consider the problem of predicting a response $Y$ from a set of covariates $X$ when test and training distributions differ. Since such differences may have causal explanations, we consider test distributions that emerge from…

Methodology · Statistics 2021-08-19 Rune Christiansen , Niklas Pfister , Martin Emil Jakobsen , Nicola Gnecco , Jonas Peters

We introduce a framework for learning robust visual representations that generalize to new viewpoints, backgrounds, and scene contexts. Discriminative models often learn naturally occurring spurious correlations, which cause them to fail on…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Chengzhi Mao , Augustine Cha , Amogh Gupta , Hao Wang , Junfeng Yang , Carl Vondrick

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
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