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Semi-Open 3D Object Retrieval via Hierarchical Equilibrium on Hypergraph
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Introduces the semi-open 3D object retrieval setting with hierarchical labels, four derived datasets, and the HERT framework (hierarchical retrace embedding plus hypergraph-based structured equilibrium tuning) that outperforms prior retrieval and open-set baselines.
Problem
Open-set 3D object retrieval assumes single-level labels and no overlap between training and testing categories, which causes contradictory optimization when categories share coarse labels but differ in fine labels; the paper targets a semi-open setting where coarse label spaces overlap and fine lab
Approach
Combine hierarchical retrace embeddings (coarse-label-conditioned auto-encoder) with a superposed hypergraph whose hyperedges encode local coherent correlations (same coarse label) and global entangled correlations (kNN), followed by hypergraph convolution and a memory bank to generalize to unseen fine categories.
Key results
- On SO-NTU, HERT reaches mAP 0.5678 (about 17.7% over the second-best method), per the paper.
- On SO-MN40, HERT reaches mAP 0.6336 and Recall 0.3993 (about 9.6% and 7.9% over second-best HGM2R).
- Ablations show removing the retrace encoding drops SO-MN40 mAP from 0.6336 to 0.5791, and replacing hypergraph convolution with GCN or MLP lowers performance.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use HERT instead of HGM2R | Semi-open 3D object retrieval · SO-ESB | mAP: 0.5049 -> 0.5756 | Helped |
| Use HERT instead of HGM2R | Semi-open 3D object retrieval · SO-NTU | mAP: 0.4821 -> 0.5678 | Helped |
| Use HERT instead of HGM2R | Semi-open 3D object retrieval · SO-MN40 | mAP: 0.5779 -> 0.6336 | Helped |
| Use HERT instead of HGM2R | Semi-open 3D object retrieval · SO-ABO | mAP: 0.6069 -> 0.6339 | Helped |
| Add retrace encoding (ablation) | HERT HRE · SO-ESB, SO-NTU, SO-MN40, SO-ABO | mAP: 0.5159 -> 0.5756; 0.4913 -> 0.5678; 0.5791 -> 0.6336; 0.6055 -> 0.6339 | Helped |
| Add HRE cross-entropy loss (ablation) | HERT HRE · SO-ESB, SO-NTU, SO-MN40, SO-ABO | mAP: 0.5133 -> 0.5756; 0.5161 -> 0.5678; 0.5967 -> 0.6336; 0.5885 -> 0.6339 | Helped |
| Add coherent hyperedges (ablation) | HERT SET · SO-ESB, SO-NTU, SO-MN40, SO-ABO | mAP: 0.5358 -> 0.5756; 0.5285 -> 0.5678; 0.5913 -> 0.6336; 0.6006 -> 0.6339 | Helped |
| Use hypergraph convolution instead of GCN (ablation) | HERT SET · SO-ESB, SO-NTU, SO-MN40, SO-ABO | mAP: 0.5405 -> 0.5756; 0.5144 -> 0.5678; 0.5602 -> 0.6336; 0.5686 -> 0.6339 | Helped |
| Use hypergraph convolution instead of MLP (ablation) | HERT SET · SO-ESB, SO-NTU, SO-MN40, SO-ABO | mAP: 0.5014 -> 0.5756; 0.4689 -> 0.5678; 0.5088 -> 0.6336; 0.4880 -> 0.6339 | Helped |
Limitations
- Only three levels of labels could be verified due to dataset limitations.
- Datasets are derived from existing 3D datasets with coarse labels assigned by basic shape and some objects removed.
- Code, models, and datasets are not yet released.
Experimental setup
Datasets: SO-ESB SO-NTU SO-MN40 SO-ABO
Benchmarks: SO-ESB SO-NTU SO-MN40 SO-ABO
Metrics: mAP Recall NDCG ANMRR precision-recall curve
Baselines: SDML CMCL MMSAE TranGCN C2AE HGM2R
Builds on: HGNN HGM2R TranGCN C2AE
Closest papers by meaning
- Assembly Fuzzy Representation on Hypergraph for Open-Set 3D Object Retrieval (NeurIPS 2024 · similarity 0.89)
- Towards 3D Objectness Learning in an Open World (NeurIPS 2025 · similarity 0.84)
- 3DCoMPaT200: Language Grounded Large-Scale 3D Vision Dataset for Compositional Recognition (NeurIPS 2024 · similarity 0.84)
- Open3DSG: Open-Vocabulary 3D Scene Graphs from Point Clouds with Queryable Objects and Open-Set Relationships (CVPR 2024 · similarity 0.84)
- Uni3D: Exploring Unified 3D Representation at Scale (ICLR 2024 · similarity 0.83)
- Cross-Modal 3D Representation with Multi-View Images and Point Clouds (CVPR 2025 · similarity 0.83)
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