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Forte : Finding Outliers with Representation Typicality Estimation
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Forte estimates typical sets by combining self-supervised representations (CLIP, ViT-MSN, DINOv2) with per-point PRDC summary statistics and one-class SVM/KDE/GMM density models to detect OOD and Stable-Diffusion synthetic images without labels or OOD exposure.
Problem
Detecting out-of-distribution inputs and synthetic images generated by foundation/generative models, where likelihood-based generative OOD detectors fail due to likelihood misestimation and typicality issues and focus on pixels rather than semantics.
Approach
Adapt per-point precision, recall, density and coverage (manifold-estimation statistics from generative evaluation) as summary statistics over self-supervised representation spaces, then model their ID typical set with non-parametric density estimators (OCSVM, KDE, GMM), extending DoSE.
Key results
- On CIFAR-10 vs SVHN, Forte+SVM reports AUROC 99.84 and FPR95 0.00 versus DoSE's 97.30 AUROC and 13.16 FPR95.
- On ImageNet near-OOD SSB-Hard, Forte+GMM reaches AUROC 94.95 and FPR95 22.30, versus 77.28 AUROC and 72.90 FPR95 for DINOv2+MLS.
- On Golden Retriever Img2Img S=1.0 synthetic detection, Forte+GMM reaches AUROC 98.11 versus 60.15 for the CLIP baseline.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace supervised OOD baseline with Forte+GMM | ImageNet-1k OOD detection · NINCO | AUROC: 88.38 -> 98.34 | Helped |
| replace supervised OOD baseline with Forte+GMM | ImageNet-1k OOD detection · SSB-Hard | AUROC: 77.28 -> 94.95 | Helped |
| replace DoSE with Forte+GMM | CIFAR-10 ID OOD detection · CIFAR-100 | AUROC: 56.90 -> 97.63 $\pm$ 00.15 | Helped |
| replace CLIP baseline with Forte+GMM | Golden Retriever synthetic detection · Img2Img S=0.3 | AUROC: 61.19 -> 68.28 $\pm$ 02.14 | Helped |
| replace CLIP baseline with Forte+GMM | Golden Retriever synthetic detection · Img2Img S=1.0 | AUROC: 60.15 -> 98.11 $\pm$ 00.75 | Helped |
| add MSN to CLIP representation (ablation) | Forte+GMM · ImageNet superclass vehicles, Far OOD | AUROC: 99.42 -> 99.96 | Helped |
| add DINOv2 to CLIP representation (ablation) | Forte+GMM · ImageNet superclass vehicles, Far OOD | AUROC: 99.42 -> 99.98 | Helped |
| add MSN and DINOv2 to CLIP representation (ablation) | Forte+GMM · ImageNet superclass vehicles, Far OOD | AUROC: 99.42 -> 100.00 | Helped |
| add DINOv2 to CLIP representation (ablation) | Forte+GMM · ImageNet superclass vehicles, Near OOD | AUROC: 88.84 -> 91.35 | Helped |
| add MSN and DINOv2 to CLIP representation (ablation) | Forte+GMM · ImageNet superclass vehicles, Near OOD | AUROC: 88.84 -> 91.17 | Helped |
| add MSN to CLIP+DINOv2 representation (ablation) | Forte+GMM · ImageNet superclass vehicles, Near OOD | AUROC: 91.35 -> 91.17 | Hurt |
Surprising findings
- Standard statistical tests (Z-test, KS, Mann-Whitney) and distribution divergences fail to give consistent signals for Stable Diffusion-generated images, even when generated images are highly realistic.
- OpenOOD's linear-probe DINOv2 with MLS performs poorly on OOD detection despite strong representations.
Limitations
- Theoretical justification relies on Gaussian assumptions with equal covariance and large-mean-shift approximations.
- Precision and density alone make it a single-sample test; recall and coverage require the full reference set, making it a two-sample test.
- Some reported results have high variance (e.g., FastMRI/OAI KDE, Golden Retriever low-strength settings).
Experimental setup
Datasets: CIFAR-10 CIFAR-100 CelebA SVHN ImageNet-1k iNaturalist Texture OpenImage-O NINCO SSB-Hard ImageNet-C ImageNet-R
Benchmarks: CIFAR-10 vs CIFAR-100 CIFAR-10 vs CelebA CIFAR-10 vs SVHN ImageNet-1k OpenOOD v1.5 suite Synthetic ImageNet Golden Retriever and Volleyball FastMRI vs OAI medical datasets
Metrics: AUROC FPR95 FD FD-infinity CMMD
Baselines: NNGuide ViM ViT-B+CE+RMDS DINOv2+MLS DoSE WAIC Typicality test LLR CLIP-based density baseline FD FD-infinity CMMD
Builds on: DoSE Precision and Recall metrics Density and Coverage metrics Typicality test Glow
Closest papers by meaning
- A Geometric Explanation of the Likelihood OOD Detection Paradox (ICML 2024 · similarity 0.89)
- Out-of-Distribution Detection with Prototypical Outlier Proxy (AAAI 2025 · similarity 0.89)
- ODIM: Outlier Detection via Likelihood of Under-Fitted Generative Models (ICML 2024 · similarity 0.88)
- Expecting The Unexpected: Towards Broad Out-Of-Distribution Detection (NeurIPS 2024 · similarity 0.86)
- Mysteries of the Deep: Role of Intermediate Representations in Out of Distribution Detection (NeurIPS 2025 · similarity 0.86)
- ALTBI: Constructing Improved Outlier Detection Models via Optimization of Inlier-Memorization Effect (AAAI 2025 · similarity 0.86)
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