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Point Cloud Mamba: Point Cloud Learning via State Space Model
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Proposes Point Cloud Mamba (PCM), a local-plus-global point cloud network that serializes point clouds with six Consistent Traverse Serialization variants, adds order prompts and coordinate-based positional embeddings, and reports SOTA on ScanObjectNN, ModelNet40, ShapeNetPart and S3DIS.
Problem
Point cloud analysis with state space models: Mamba is designed for causal 1-D sequences, so converting unordered, irregular 3-D point sets into sequences that preserve spatial neighborhoods while achieving global modeling at linear cost remains open; prior Mamba point cloud work (PointMamba) lags p
Approach
Serialize voxelized point clouds into 1-D sequences via a grid-code sort in which spatially adjacent points stay adjacent, use six axis-permuted variants across Mamba layers, add learnable order prompts marking each serialization, and embed points with a linear map of their xyz coordinates, all within a PointMLP-style local-plus-global hierarchy.
Key results
- PCM reaches 88.1% OA and 86.6% mAcc on ScanObjectNN (PB_T50_RS), beating PointNeXt (87.7%) and PTv3 (86.4%).
- With additional DeLA local blocks, PCM-Tiny reaches 79.6 mIoU on S3DIS Area 5, versus 74.1 mIoU for DeLA-free PCM-Tiny and 74.1 mIoU for DeLA.
- PCM reaches 87.0 instance mIoU on ShapeNetPart, surpassing PointNeXt (86.5 ins. mIoU reported in the table).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace naive Mamba architecture with PCM design | Mamba point cloud network · ScanObjectNN | OA: 2.8 OA | Helped |
| Use multiple serialization strategies instead of a single strategy (ablation) | PCM · ScanObjectNN | OA: 0.42 OA | Helped |
| Use xyz, yzx, and zxy CTS variants together (ablation) | PCM · ScanObjectNN | OA: 0.17 OA | Helped |
| Combine all six CTS serialization variants (ablation) | PCM · ScanObjectNN | OA: 0.39 OA | Helped |
| Reduce channel size from 768 to 384 (ablation) | PCM · ScanObjectNN | OA: 1.12 OA | Hurt |
| Reduce channel size to 96 (ablation) | PCM · ScanObjectNN | OA: 2.56 OA | Hurt |
| Replace RoPE with spatial coordinate Linear positional mapping (ablation) | PCM · ScanObjectNN | OA: 0.37 OA | Helped |
| Replace Linear positional mapping with an MLP (ablation) | PCM · ScanObjectNN | OA | No clear effect |
| Use a separate Linear positional mapping for each Mamba layer (ablation) | PCM · ScanObjectNN | OA | Hurt |
| Add six order prompts instead of using none (ablation) | PCM · ScanObjectNN | OA: 0.83 OA | Helped |
| Increase order prompts beyond six (ablation) | PCM · ScanObjectNN | OA: 87.47; 87.13 | Hurt |
| Add local neighborhood feature extraction using four neighboring points (ablation) | PCM · ScanObjectNN | OA: 5.34 OA | Helped |
Surprising findings
- Random flattening of point clouds into sequences significantly underperforms ordered serialization (84.1 vs 86.7 OA in the text).
- Adding PTv3's local DeLA extractor did not improve PTv3, which the authors attribute to windowed attention limits.
Limitations
- Scan-based Mamba training scales poorly to large point clouds (>=100k points), forcing cropping on S3DIS and a train/test gap.
- Performance gains on ModelNet40 are small and within run-to-run variance, with the 94.1 PointMLP figure requiring best-of-many selection.
- Throughput is lower than PointMLP despite fewer parameters and FLOPs.
Experimental setup
Datasets: ScanObjectNN ModelNet40 ShapeNetPart S3DIS ScanNet
Benchmarks: ScanObjectNN ModelNet40 ShapeNetPart S3DIS ScanNet
Metrics: OA mAcc instance mIoU class mIoU mIoU params FLOPs throughput
Baselines: PointNeXt PointMLP PTv3 PointMamba DeLA Point Transformer PTv2 Point-MAE
Builds on: Mamba PointMLP PointNeXt DeLA S4
Closest papers by meaning
- PointMamba: A Simple State Space Model for Point Cloud Analysis (NeurIPS 2024 · similarity 0.93)
- Spectral Informed Mamba for Robust Point Cloud Processing (CVPR 2025 · similarity 0.91)
- PMA: Towards Parameter-Efficient Point Cloud Understanding via Point Mamba Adapter (CVPR 2025 · similarity 0.91)
- Pamba: Enhancing Global Interaction in Point Clouds via State Space Model (AAAI 2025 · similarity 0.91)
- ZigzagPointMamba: Spatial-Semantic Mamba for Point Cloud Understanding (NeurIPS 2025 · similarity 0.89)
- LCM: Locally Constrained Compact Point Cloud Model for Masked Point Modeling (NeurIPS 2024 · similarity 0.88)
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