Mamba Learns in Context: Structure-Aware Domain Generalization for Multi-Task Point Cloud Understanding
- URL: http://arxiv.org/abs/2603.20739v1
- Date: Sat, 21 Mar 2026 09:55:10 GMT
- Title: Mamba Learns in Context: Structure-Aware Domain Generalization for Multi-Task Point Cloud Understanding
- Abstract summary: We propose Structure-Aware Domain Generalization (SADG), a Mamba-based In-Context Learning framework that preserves structural hierarchy across domains and tasks.<n>SADG uses centroid-based topology and geodesic curvature continuity to generate transformation-invariant sequences.<n>It consistently outperforms state-of-the-art methods across multiple tasks including reconstruction, denoising, and registration.
- Score: 36.012422604739236
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: While recent Transformer and Mamba architectures have advanced point cloud representation learning, they are typically developed for single-task or single-domain settings. Directly applying them to multi-task domain generalization (DG) leads to degraded performance. Transformers effectively model global dependencies but suffer from quadratic attention cost and lack explicit structural ordering, whereas Mamba offers linear-time recurrence yet often depends on coordinate-driven serialization, which is sensitive to viewpoint changes and missing regions, causing structural drift and unstable sequential modeling. In this paper, we propose Structure-Aware Domain Generalization (SADG), a Mamba-based In-Context Learning framework that preserves structural hierarchy across domains and tasks. We design structure-aware serialization (SAS) that generates transformation-invariant sequences using centroid-based topology and geodesic curvature continuity. We further devise hierarchical domain-aware modeling (HDM) that stabilizes cross-domain reasoning by consolidating intra-domain structure and fusing inter-domain relations. At test time, we introduce a lightweight spectral graph alignment (SGA) that shifts target features toward source prototypes in the spectral domain without updating model parameters, ensuring structure-preserving test-time feature shifting. In addition, we introduce MP3DObject, a real-scan object dataset for multi-task DG evaluation. Comprehensive experiments demonstrate that the proposed approach improves structural fidelity and consistently outperforms state-of-the-art methods across multiple tasks including reconstruction, denoising, and registration.
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