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Semi-Open 3D Object Retrieval via Hierarchical Equilibrium on Hypergraph

NeurIPS 2024 · Detection and segmentation › 3D detection and driving · approach: 3D objectness and scene segmentation

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use HERT instead of HGM2RSemi-open 3D object retrieval · SO-ESBmAP: 0.5049 -> 0.5756Helped
Use HERT instead of HGM2RSemi-open 3D object retrieval · SO-NTUmAP: 0.4821 -> 0.5678Helped
Use HERT instead of HGM2RSemi-open 3D object retrieval · SO-MN40mAP: 0.5779 -> 0.6336Helped
Use HERT instead of HGM2RSemi-open 3D object retrieval · SO-ABOmAP: 0.6069 -> 0.6339Helped
Add retrace encoding (ablation)HERT HRE · SO-ESB, SO-NTU, SO-MN40, SO-ABOmAP: 0.5159 -> 0.5756; 0.4913 -> 0.5678; 0.5791 -> 0.6336; 0.6055 -> 0.6339Helped
Add HRE cross-entropy loss (ablation)HERT HRE · SO-ESB, SO-NTU, SO-MN40, SO-ABOmAP: 0.5133 -> 0.5756; 0.5161 -> 0.5678; 0.5967 -> 0.6336; 0.5885 -> 0.6339Helped
Add coherent hyperedges (ablation)HERT SET · SO-ESB, SO-NTU, SO-MN40, SO-ABOmAP: 0.5358 -> 0.5756; 0.5285 -> 0.5678; 0.5913 -> 0.6336; 0.6006 -> 0.6339Helped
Use hypergraph convolution instead of GCN (ablation)HERT SET · SO-ESB, SO-NTU, SO-MN40, SO-ABOmAP: 0.5405 -> 0.5756; 0.5144 -> 0.5678; 0.5602 -> 0.6336; 0.5686 -> 0.6339Helped
Use hypergraph convolution instead of MLP (ablation)HERT SET · SO-ESB, SO-NTU, SO-MN40, SO-ABOmAP: 0.5014 -> 0.5756; 0.4689 -> 0.5678; 0.5088 -> 0.6336; 0.4880 -> 0.6339Helped

Limitations

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

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