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Mamba4D: Efficient 4D Point Cloud Video Understanding with Disentangled Spatial-Temporal State Space Models

CVPR 2025 · Point clouds › Point cloud classification · approach: Scene flow and dynamic point clouds · 19 citations (OpenAlex)

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Proposes Mamba4D, a pure state-space-model 4D point cloud video backbone that disentangles intra-frame spatial Mamba and inter-frame temporal Mamba, achieving accuracy gains and large efficiency improvements over transformer baselines.

Problem

Building an effective and efficient backbone for 4D point cloud video understanding, where irregular spatial structure, temporal inconsistency, and the quadratic cost of transformers hinder long-sequence modeling.

Approach

Replace CNN and transformer components of 4D backbones with state space (Mamba) blocks: an intra-frame spatial Mamba with temporal pooling over point tubes for short-term structure, followed by an inter-frame temporal Mamba with multiple spatio-temporal scanning orders for long-range dependencies, giving linear complexity.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace Point 4D convolution with Intra-frame Spatial MambaPST-Transformer · MSR-Action3D, 24 framesaccuracy: 93.03 -> 93.38Helped
Use Mamba4D with X4D-SceneFormer backboneX4D-SceneFormer · HOI4DF1@50: 84.8 -> 85.5Helped
Replace P4Transformer's CNN and transformer architectures with Mamba blocksP4Transformer · Synthia 4D, 3 framesmIoU: 83.16 -> 83.35Helped
Add Intra-frame Spatial Mamba and Inter-frame Temporal Mamba (ablation)P4Transformer · MSR-Action3Daccuracy: 90.94 -> 92.68Helped
Add Intra-frame Spatial Mamba (ablation)P4Transformer · MSR-Action3Daccuracy: 90.94 -> 91.36Helped
Add Inter-frame Temporal Mamba (ablation)P4Transformer · MSR-Action3Daccuracy: 90.94 -> 91.67Helped
Use 4D rather than no position encoding (ablation)Intra-frame Spatial Mamba · MSR-Action3Daccuracy: 89.20 -> 92.68Helped
Use 4D rather than 3D spatial-only position encoding (ablation)Intra-frame Spatial Mamba · MSR-Action3Daccuracy: 91.98 -> 92.68Helped
Use 4D rather than no position encoding (ablation)Inter-frame Temporal Mamba · MSR-Action3Daccuracy: 88.85 -> 92.68Helped
Use 4D rather than 3D spatial-only position encoding (ablation)Inter-frame Temporal Mamba · MSR-Action3Daccuracy: 91.98 -> 92.68Helped
Use 12 rather than 4 Intra-frame Mamba blocks, with 4 Inter-frame blocks (ablation)Mamba4D · MSR-Action3Daccuracy: 90.24 -> 92.68Helped
Use cross-temporal XZY ordering rather than unidirectional ordering (ablation)Inter-frame Temporal Mamba · MSR-Action3Daccuracy: 91.36 -> 92.68Helped

Surprising findings

Limitations

Experimental setup

Datasets: MSR-Action3D HOI4D Synthia 4D

Benchmarks: MSR-Action3D HOI4D Synthia 4D

Metrics: accuracy frame-level accuracy edit distance F1@10 F1@25 F1@50 mIoU GPU memory inference time

Baselines: PointNet++ MeteorNet PSTNet PPTr MaST-Pre P4Transformer PST-Transformer X4D-SceneFormer C2P 3D MinkNet14 4D MinkNet14

Builds on: Mamba P4Transformer PST-Transformer Point Mamba X4D-SceneFormer

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