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Hyperbolic Uncertainty-Aware Few-Shot Incremental Point Cloud Segmentation
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Proposes HIPO, a hyperbolic (Poincaré ball) few-shot class-incremental 3D point cloud segmentation method using CLIP-guided ideal prototypes and an uncertainty-aware Busemann loss, evaluated on S3DIS and ScanNetv2.
Problem
Few-shot class-incremental learning for 3D point cloud semantic segmentation, where new classes arrive with few labeled samples and models suffer overfitting and catastrophic forgetting in Euclidean embeddings.
Approach
Embed features on a Poincaré hyperbolic ball and pre-assign orthogonal ideal prototypes on the boundary, positioned using CLIP text-embedding semantic ranking; align class features to their prototypes via a Busemann loss with a hyperbolic-distance uncertainty penalty, without rehearsal.
Key results
- On S3DIS 10-3T (5-shot), HIPO reaches 33.40% Last mIoU versus 25.02% for C-FSCIL and 20.02% for LGKD.
- HIPO averages 31.13% Last mIoU across S3DIS settings, versus 26.50% for 3DPC-CISS (the prior SOTA), and reduces average forgetting to 14.16%.
- With a DGCNN backbone on S3DIS, HIPO achieves 29.90% Last mIoU, above BiDist's 27.70%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use HIPO instead of 3DPC-CISS | PointTransformer FSCIL · S3DIS, average of 4-3T, 7-3T, 10-3T, 5-shot | Last mIoU (%): 26.50 -> 31.13 | Helped |
| Use HIPO instead of 3DPC-CISS | PointTransformer FSCIL · S3DIS, average of 4-3T, 7-3T, 10-3T, 5-shot | AIA (%): 37.73 -> 40.30 | Helped |
| Use HIPO instead of 3DPC-CISS | PointTransformer FSCIL · S3DIS, average of 4-3T, 7-3T, 10-3T, 5-shot | F(T)_Last (%): 17.46 -> 14.16 | Helped |
| Use HIPO instead of C-FSCIL | PointTransformer FSCIL · ScanNetv2, average of 10-2T, 10-5T, 15-5T, 5-shot | Last mIoU (%): 9.25 -> 11.68 | Helped |
| Use HIPO instead of LGKD | PointTransformer FSCIL · ScanNetv2, average of 10-2T, 10-5T, 15-5T, 5-shot | AIA (%): 21.65 -> 22.27 | Helped |
| Use HIPO instead of C-FSCIL | PointTransformer FSCIL · ScanNetv2, average of 10-2T, 10-5T, 15-5T, 5-shot | F(T)_Last (%): 18.11 -> 18.12 | No clear effect |
| Use HIPO instead of 3DPC-CISS | PointTransformer FSCIL · ScanNetv2 → S3DIS, average of 10-4T and 10-8T, 5-shot | Last mIoU (%): 19.95 -> 20.60 | Helped |
| Use HIPO instead of 3DPC-CISS | PointTransformer FSCIL · ScanNetv2 → S3DIS, average of 10-4T and 10-8T, 5-shot | AIA (%): 29.16 -> 29.81 | Helped |
| Use HIPO instead of 3DPC-CISS | PointTransformer FSCIL · ScanNetv2 → S3DIS, average of 10-4T and 10-8T, 5-shot | F(T)_Last (%): 16.01 -> 16.05 | No clear effect |
| Vary uncertainty penalty strength ϕ from 0.00 to 1.00 (ablation) | HIPO · S3DIS and ScanNetv2, 5-shot; 4-3T, 7-3T, 10-3T, 10-2T, 10-5T, 15-5T | AIA (%): S3DIS 4-3T: 42.87, 43.40, 43.27, 43.87, 43.22; 7-3T: 36.13, 36.46, 36.80, 36.70, 36.06; 10-3T: 39.95, 40.25, 40.10, 40.0 | Mixed |
| Vary uncertainty penalty strength ϕ from 0.00 to 1.00 (ablation) | HIPO · S3DIS and ScanNetv2, 5-shot; 4-3T, 7-3T, 10-3T, 10-2T, 10-5T, 15-5T | F(T)_Last (%): S3DIS 4-3T: 17.70, 17.86, 18.23, 17.70, 18.96; 7-3T: 11.60, 11.20, 11.10, 11.10, 12.10; 10-3T: 14.30, 13.70, 14.00, 14.0 | Mixed |
| Use near-zero curvature c = 0.0001 instead of c = −1.00 (ablation) | HIPO · S3DIS and ScanNetv2, 5-shot; 4-3T, 7-3T, 10-3T, 10-2T, 10-5T, 15-5T | AIA (%): S3DIS: 42.95, 36.23, 40.20; ScanNetv2: 16.54, 27.16, 24.40 | Mixed |
Surprising findings
- Euclidean-like curvature (c=0.0001, 0.001) underperforms the negative-curvature hyperbolic setting in most settings.
- Without the uncertainty penalty (phi=0), overconfident predictions and lower AIA result, while too high a penalty increases inter-class confusion.
Limitations
- Does not handle outliers or unknown classes appearing without reference across incremental sessions (stated as future work).
- Cross-dataset gains are modest (about +0.5% Last and AIA on ScanNetv2 to S3DIS).
Experimental setup
Datasets: S3DIS ScanNetv2
Benchmarks: S3DIS ScanNetv2
Metrics: mIoU Average Incremental Accuracy Last accuracy Average Forgetting Rate
Baselines: LwF C-FSCIL LGKD SDCOT 3DPC-CISS BiDist CLOM TEEN FACT ALICE
Builds on: Ideal prototypes (Ghadimi et al.) Busemann loss PointTransformer CLIP LwF C-FSCIL
Closest papers by meaning
- Generalized Zero-Shot Learning for Point Cloud Segmentation with Evidence-Based Dynamic Calibration (AAAI 2025 · similarity 0.89)
- Rethinking Few-shot 3D Point Cloud Semantic Segmentation (CVPR 2024 · similarity 0.89)
- X-3D: Explicit 3D Structure Modeling for Point Cloud Recognition (CVPR 2024 · similarity 0.89)
- Generated and Pseudo Content guided Prototype Refinement for Few-shot Point Cloud Segmentation (NeurIPS 2024 · similarity 0.88)
- Generalized Few-shot 3D Point Cloud Segmentation with Vision-Language Model (CVPR 2025 · similarity 0.88)
- Geometrically-driven Aggregation for Zero-shot 3D Point Cloud Understanding (CVPR 2024 · similarity 0.87)
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