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Point Cloud Mamba: Point Cloud Learning via State Space Model

AAAI 2025 · Point clouds › Point cloud classification · approach: Self-supervised point cloud pretraining · 82 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace naive Mamba architecture with PCM designMamba point cloud network · ScanObjectNNOA: 2.8 OAHelped
Use multiple serialization strategies instead of a single strategy (ablation)PCM · ScanObjectNNOA: 0.42 OAHelped
Use xyz, yzx, and zxy CTS variants together (ablation)PCM · ScanObjectNNOA: 0.17 OAHelped
Combine all six CTS serialization variants (ablation)PCM · ScanObjectNNOA: 0.39 OAHelped
Reduce channel size from 768 to 384 (ablation)PCM · ScanObjectNNOA: 1.12 OAHurt
Reduce channel size to 96 (ablation)PCM · ScanObjectNNOA: 2.56 OAHurt
Replace RoPE with spatial coordinate Linear positional mapping (ablation)PCM · ScanObjectNNOA: 0.37 OAHelped
Replace Linear positional mapping with an MLP (ablation)PCM · ScanObjectNNOANo clear effect
Use a separate Linear positional mapping for each Mamba layer (ablation)PCM · ScanObjectNNOAHurt
Add six order prompts instead of using none (ablation)PCM · ScanObjectNNOA: 0.83 OAHelped
Increase order prompts beyond six (ablation)PCM · ScanObjectNNOA: 87.47; 87.13Hurt
Add local neighborhood feature extraction using four neighboring points (ablation)PCM · ScanObjectNNOA: 5.34 OAHelped

Surprising findings

Limitations

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

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