Counterfactual Risk Minimization for Out-of-Distribution Generalization

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Counterfactual Risk Minimization for Out-of-Distribution Generalization
Title:
Counterfactual Risk Minimization for Out-of-Distribution Generalization
Journal Title:
IEEE Transactions on Image Processing
Keywords:
Publication Date:
22 April 2026
Citation:
Yang, Y., Yang, M., Li, J., Wang, H., Deng, C., & Zhu, H. (2026). Counterfactual Risk Minimization for Out-of-Distribution Generalization. IEEE Transactions on Image Processing, 1. https://doi.org/10.1109/tip.2026.3683291
Abstract:
The out-of-distribution (OOD) property in data is deemed as one main challenge hindering the generalization ability of machine learning algorithms. However, the underlying reasons for this property remain an intriguing and open question that has yet to be fully understood. In this paper, we seek to enhance our understanding of the OOD phenomenon by framing it as a problem of distribution shift and addressing it through two complementary causal perspectives. The first is a generative causal view that elucidates the data generation process. We introduce a novel three-dimensional coordinate system to represent three fundamental distribution shifts, illustrating their role in various OOD generalization problems. The second is an anti-causal view that focuses on the model learning process. We develop an effective approach dubbed Counterfactual Risk Minimization (CRM) to address arbitrary distribution shifts in a unified framework. Additionally, we introduce a new multi-domain visual recognition dataset called CONA to facilitate further exploration of OOD generalization. We conduct evaluations of CRM alongside several state-of-the-art competitors on four benchmark datasets under the three distribution shifts. The results not only affirm CRM’s superiority but also shed light on potential future directions.
License type:
Publisher Copyright
Funding Info:
This research / project is supported by the National Natural Science Foundation of China - NA
Grant Reference no. : U25B2048, 62132016, 62571412

This research / project is supported by the Singapore Economic Development Board (EDB) - Space Technology Development Programme
Grant Reference no. : S22-19016-STDP

This research / project is supported by the A*STAR - Manufacturing, Trade, and Connectivity Programmatic Fund
Grant Reference no. : M23L7b0021
Description:
© 2026 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
ISSN:
1057-7149
1941-0042
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