An Information-Theoretic Framework for Feature Construction in Out-of-Distribution Detection
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Abstract (arXiv)
We present a theory for the construction of out-of-distribution (OOD) detection features for neural networks. We introduce random features for OOD through a novel information-theoretic loss functional consisting of two terms, the first based on the KL divergence separates resulting in-distribution (ID) and OOD feature distributions and the second term is the Information Bottleneck, which favors compressed features that retain the OOD information. We formulate a variational procedure to optimize the loss and obtain OOD features. Based on assumptions on OOD distributions, one can recover properties of existing OOD features, i.e., shaping functions. Furthermore, we show that our theory can predict a new shaping function that out-performs existing ones on OOD benchmarks, including both semantic and a wide range of covariate shifts. Our theory provides a general framework for constructing a variety of new features with clear explainability.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 39 of its 57 references that are in the map. First posted on arXiv 17 Jun 2025.
Builds on
39 of 57 references.
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27 more
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Built on by
Citing papers per year: 2025: 2; 2026: 2.
4 papers.
- 2025Information-Theoretic Reward Modeling for Stable RLHF: Detecting and Mitigating Reward Hackingcited by 5
- 2026Tuning Out-of-Distribution (OOD) Detectors Without Given OOD Datacited by 2
- 2025Information Theory in Open-world Machine Learning Foundations, Frameworks, and Future Directioncited by 0
- 2026Out-of-Distribution (OOD) Detectors for Open-Set RF Fingerprintingcited by 0
- 2026Out-of-Distribution (OOD) Detectors for Open-Set RF Fingerprinting10 Jun 2026
- 2026Tuning Out-of-Distribution (OOD) Detectors Without Given OOD Data5 Feb 2026
- 2025Information Theory in Open-world Machine Learning Foundations, Frameworks, and Future Direction17 Oct 2025
- 2025Information-Theoretic Reward Modeling for Stable RLHF: Detecting and Mitigating Reward Hacking15 Oct 2025