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Hyperbolic Active Learning for Semantic Segmentation under Domain Shift
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Proposes HALO, a hyperbolic-network active domain adaptation method for semantic segmentation that scores pixels by the product of hyperbolic radius and prediction entropy as a proxy for epistemic uncertainty.
Problem
Pixel-level active domain adaptation for semantic segmentation under domain shift, where existing acquisition strategies rely mainly on prediction entropy and miss data scarcity as a source of epistemic uncertainty.
Approach
Interprets the hyperbolic radius of pixel embeddings (hierarchy-free hyperbolic MLR segmenter) as an indicator of data scarcity, and combines it with prediction entropy into an acquisition score approximating epistemic uncertainty; also adds Hyperbolic Feature Reweighting to stabilize hyperbolic training.
Key results
- HALO reaches 74.5% mIoU on GTAV→Cityscapes with 5% budget, surpassing the supervised DA baseline of 71.9% and prior RIPU at 71.2%.
- HALO achieves 75.6% mIoU on SYNTHIA→Cityscapes with 5% budget (+4.2% over RIPU per the paper) and 63.2% on Cityscapes→ACDC is reported for 2.2% budget vs RIPU 62.3%.
- Ablation on GTAV→CS with 5% budget: entropy alone 63.2%, radius alone 64.1%, product 74.5%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use HALO instead of RIPU with a 2.2% label budget | GTAV→Cityscapes · GTAV→Cityscapes, 2.2% budget | mIoU: +1.2% mIoU | Helped |
| Use HALO instead of the strongest reported active-learning baseline with a 5% budget | GTAV→Cityscapes · GTAV→Cityscapes, 5% budget | mIoU: +3.3% mIoU | Helped |
| Use HALO with 5% labels instead of supervised domain adaptation with 100% labels | GTAV→Cityscapes · GTAV→Cityscapes | mIoU: +2.6% | Helped |
| Use HALO instead of the strongest reported active-learning baseline | SYNTHIA→Cityscapes · SYNTHIA→Cityscapes, 2.2% and 5% budgets | mIoU: +2.4% and +4.2% | Helped |
| Use HALO instead of RIPU with a 5% label budget | Cityscapes→ACDC · Cityscapes→ACDC, 5% budget | mIoU: +2.9% mIoU | Helped |
| Combine hyperbolic radius and prediction entropy rather than using either alone (ablation) | HALO · GTAV→Cityscapes, 5% budget | mIoU: 63.2% and 64.1% -> 74.5% | Helped |
| Add HFR to the hyperbolic model for source+target adaptation (ablation) | HALO · GTAV→Cityscapes, source+target | mIoU: 72.9 -> 74.5 | Helped |
| Add HFR to the hyperbolic model in source-only training (ablation) | Hyperbolic DeepLab-v3+ · GTAV→Cityscapes, source-only | mIoU: 39.0 -> 38.9 | No clear effect |
| Add HFR to the Euclidean model (ablation) | DeepLab-v3+ · GTAV→Cityscapes, source-only | mIoU: 36.3 -> 22.7 | Hurt |
| Use region-based rather than pixel-based acquisition (ablation) | HALO · GTAV→Cityscapes, 5% budget | mIoU: 74.5 -> 74.1 | Hurt |
| Replace HFR with Feature Clipping (ablation) | Hyperbolic HALO · GTAV→Cityscapes, 5% budget | mIoU: 74.5 -> 73.3 | Hurt |
| Select only ground-truth boundary pixels instead of using RIPU's pseudo-label boundary selection (ablation) | RIPU · GTAV→Cityscapes | mIoU: 71.2 -> 69.8 | Hurt |
Surprising findings
- Hyperbolic radius correlates with class pixel frequency (rho=-0.899) rather than with accuracy, contrary to the uncertainty interpretation in prior hyperbolic metric learning work.
- Boundary-only selection from ground-truth boundaries performs worse than RIPU's pseudo-label boundary selection in an oracle experiment (69.8 vs 71.2).
Limitations
- Lacks rigorous mathematical validation of the hyperbolic radius properties.
- Relies on a source model pretrained on synthetic data, requiring synthetic-to-real adaptation.
- Pixel-level manual annotation remains time-consuming.
Experimental setup
Datasets: GTAV SYNTHIA Cityscapes ACDC
Benchmarks: GTAV to Cityscapes SYNTHIA to Cityscapes Cityscapes to ACDC
Metrics: mIoU
Baselines: RIPU LabOR AADA MADA D2ADA Euclidean Supervised DA Hyperbolic Supervised DA
Builds on: RIPU Hyperbolic Neural Networks DeepLab-v3+ Hyperbolic multinomial logistic regression
Closest papers by meaning
- Diffusion-Driven Two-Stage Active Learning for Low-Budget Semantic Segmentation (NeurIPS 2025 · similarity 0.88)
- Pixels to Tokens: Token Space Efficient Active Learning for Low-Budget Semantic Segmentation (NeurIPS 2026 · similarity 0.86)
- Density Matters: Improved Core-Set for Active Domain Adaptive Segmentation (AAAI 2024 · similarity 0.85)
- Hyperbolic Uncertainty-Aware Few-Shot Incremental Point Cloud Segmentation (CVPR 2025 · similarity 0.85)
- Understanding Fine-tuning CLIP for Open-vocabulary Semantic Segmentation in Hyperbolic Space (CVPR 2025 · similarity 0.84)
- Hyperbolic Embeddings of Supervised Models (NeurIPS 2024 · similarity 0.84)
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