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Rethinking Out-of-Distribution Detection on Imbalanced Data Distribution
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Proposes ImOOD, a statistical framework and unified training-time regularization that corrects a class-aware bias in OOD detectors trained on long-tailed ID data, improving OOD detection on CIFAR10/100-LT and ImageNet-LT.
Problem
OOD detection performance degrades substantially when the in-distribution training data is class-imbalanced, with tail-class ID samples flagged as OOD and OOD samples predicted as head classes.
Approach
A probabilistic derivation shows a class-aware bias term beta(x) between balanced and imbalanced OOD posteriors; a learnable class-aware factor gamma is used to calibrate the OOD logit during training via a BCE loss on calibrated logits plus a constraint loss, with no extra cost at inference.
Key results
- On CIFAR10-LT, COCL + Ours reaches 93.55 AUROC and 28.52 FPR95, versus 93.28 AUROC and 30.88 FPR95 for COCL.
- On ImageNet-LT, PASCL + Ours improves AUROC from 68.00 to 74.69 and reduces FPR95 from 87.53 to 74.37; COCL + Ours reaches 75.84 AUROC.
- On CIFAR10-LT, adding the regularization to BinDisc raises AUROC from 90.06 to 92.23 and lowers FPR95 from 33.39 to 29.95.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add ImOOD to COCL | COCL · CIFAR10-LT | AUROC: 93.28 -> 93.55 | Helped |
| Add ImOOD to COCL | COCL · CIFAR10-LT | FPR95: 30.88 -> 28.52 | Helped |
| Add ImOOD to COCL | COCL · CIFAR100-LT | AUROC: 78.25 -> 78.50 | Helped |
| Add ImOOD to COCL | COCL · CIFAR100-LT | FPR95: 74.09 -> 71.65 | Helped |
| Add ImOOD to COCL | COCL · ImageNet-LT | AUROC: 73.87 -> 75.84 | Helped |
| Add ImOOD to COCL | COCL · ImageNet-LT | FPR95: 76.35 -> 74.96 | Helped |
| Add ImOOD to BinDisc | BinDisc · CIFAR10-LT | AUROC: 90.06 -> 92.23 | Helped |
| Set gamma to a constant for all classes (ablation) | ImOOD with BinDisc · CIFAR10-LT | AUROC: 90.06 -> 89.75 | Hurt |
| Use a learnable gamma per class (ablation) | ImOOD with BinDisc · CIFAR10-LT | AUROC: 89.75 -> 92.04 | Helped |
| Make learnable gamma class- and input-dependent (ablation) | ImOOD with BinDisc · CIFAR10-LT | AUROC: 92.04 -> 92.23 | Helped |
| Add ImOOD regularization | OE detector · CIFAR10-LT | AUROC: 89.91 -> 91.52 | Helped |
| Add ImOOD regularization | Energy detector · CIFAR10-LT | AUROC: 90.27 -> 91.41 | Helped |
Surprising findings
- On CIFAR100-LT, the PASCL + Ours variant has lower AUPR than the COCL baseline and COCL + Ours has higher FPR95 than COCL alone, so gains are not uniform across metrics.
- Applying a fixed gamma=1 bias correction at inference only slightly improves BinDisc on CIFAR10-LT (AUROC 90.06 to 90.34), indicating a learned input- and class-dependent gamma is needed.
Limitations
- Relies on auxiliary OOD training samples (e.g., TinyImages80M, ImageNet-Extra), so unforeseen OOD samples at test time may challenge the learned boundary.
- Imbalance problem is not fully solved; tail-class scarcity still affects data-driven learning, and data-level re-balancing is suggested.
- Inference-time variant without training gives only marginal gains, and the input-dependent gamma estimate needs training.
Experimental setup
Datasets: CIFAR10-LT CIFAR100-LT ImageNet-LT TinyImages80M ImageNet-Extra ImageNet-1k
Benchmarks: CIFAR10-LT CIFAR100-LT ImageNet-LT SC-OOD ClassPrior ImageNet-LT-a8
Metrics: AUROC AUPR FPR95 ACC
Baselines: MSP OECC EnergyOE OE PASCL OpenSampling ClassPrior BalEnergy EAT COCL
Builds on: PASCL COCL Outlier Exposure Energy-based OOD detection BinDisc
Closest papers by meaning
- Long-Tailed Out-of-Distribution Detection via Normalized Outlier Distribution Adaptation (NeurIPS 2024 · similarity 0.91)
- EAT: Towards Long-Tailed Out-of-Distribution Detection (AAAI 2024 · similarity 0.91)
- Long-Tailed Out-of-Distribution Detection: Prioritizing Attention to Tail (AAAI 2025 · similarity 0.90)
- Expecting The Unexpected: Towards Broad Out-Of-Distribution Detection (NeurIPS 2024 · similarity 0.89)
- Out-of-Distribution Detection in Long-Tailed Recognition with Calibrated Outlier Class Learning (AAAI 2024 · similarity 0.89)
- Beyond Clean Training Data: A Versatile and Model-Agnostic Framework for Out-of-Distribution Detection with Contaminated Training Data (CVPR 2025 · similarity 0.89)
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