Papers › Mamba3D: Enhancing Local Features for 3D Point Cloud Analysis via State Space Model

Mamba3D: Enhancing Local Features for 3D Point Cloud Analysis via State Space Model

23 Apr 2024arXiv:2404.14966archive 2025-07-28

Xu Han, Yuan Tang, Zhaoxuan Wang, Xianzhi Li

Existing Transformer-based models for point cloud analysis suffer from quadratic complexity, leading to compromised point cloud resolution and information loss. In contrast, the newly proposed Mamba model, based on state space models (SSM), outperforms Transformer in multiple areas with only linear complexity. However, the straightforward adoption of Mamba does not achieve satisfactory performance on point cloud tasks. In this work, we present Mamba3D, a state space model tailored for point cloud learning to enhance local feature extraction, achieving superior performance, high efficiency, and scalability potential. Specifically, we propose a simple yet effective Local Norm Pooling (LNP) block to extract local geometric features. Additionally, to obtain better global features, we introduce a bidirectional SSM (bi-SSM) with both a token forward SSM and a novel backward SSM that operates on the feature channel. Extensive experimental results show that Mamba3D surpasses Transformer-based counterparts and concurrent works in multiple tasks, with or without pre-training. Notably, Mamba3D achieves multiple SoTA, including an overall accuracy of 92.6% (train from scratch) on the ScanObjectNN and 95.1% (with single-modal pre-training) on the ModelNet40 classification task, with only linear complexity. Our code and weights are available at https://github.com/xhanxu/Mamba3D.

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Tasks

3D Point Cloud ClassificationMambaState Space ModelsSupervised Only 3D Point Cloud Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
3D Point Cloud Classification ModelNet40 Mamba3D + Point-MAE FLOPs 3.9G #2 of 111 Archive leaderboard report
3D Point Cloud Classification ModelNet40 Mamba3D + Point-MAE Number of params 16.9M #2 of 111 Archive leaderboard report
3D Point Cloud Classification ModelNet40 Mamba3D + Point-MAE Overall Accuracy 95.1 #2 of 111 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D FLOPs 3.9G #9 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D Number of params 16.9M #9 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D OBJ-BG (OA) 94.49 #9 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D OBJ-ONLY (OA) 92.43 #9 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D Overall Accuracy 92.64 #9 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) FLOPs 3.9G #10 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) Number of params 16.9M #10 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) OBJ-BG (OA) 92.94 #10 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) OBJ-ONLY (OA) 92.08 #10 of 77 Archive leaderboard report
3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) Overall Accuracy 91.81 #10 of 77 Archive leaderboard report
Supervised Only 3D Point Cloud Classification ScanObjectNN Mamba3D GFLOPs 3.9 #1 of 12 Archive leaderboard report
Supervised Only 3D Point Cloud Classification ScanObjectNN Mamba3D Number of params (M) 16.9 #1 of 12 Archive leaderboard report
Supervised Only 3D Point Cloud Classification ScanObjectNN Mamba3D Overall Accuracy (PB_T50_RS) 92.64 #1 of 12 Archive leaderboard report
Supervised Only 3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) GFLOPs 3.9 #2 of 12 Archive leaderboard report
Supervised Only 3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) Number of params (M) 16.9 #2 of 12 Archive leaderboard report
Supervised Only 3D Point Cloud Classification ScanObjectNN Mamba3D (no voting) Overall Accuracy (PB_T50_RS) 91.81 #2 of 12 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Methods

Absolute Position EncodingsAdamAttentionBPEDense ConnectionsDropoutLabel SmoothingLayer NormalizationLinear LayerMulti-Head AttentionPosition-Wise Feed-Forward LayerResidual ConnectionSoftmaxTransformer

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