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January 14, 2026Mathematics0 citationsOpen Access

AGSM–CPA: Reliability-Aware Robustness for Rotation-Invariant Point Cloud Learning

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MGMengyuan GeSWShuocheng WangYYYong Yang

Key Points

  • The aim is to enhance the robustness of rotation-invariant point cloud models against noise and sampling degradation.
  • Proposed the AGSM-CPA framework for point cloud learning
  • Implemented Geometric Signal-to-Noise Ratio modulation to suppress unreliable neighborhoods
  • Utilized Cross-Perturbation Semantic Consistency Alignment for maintaining prediction consistency
  • AGSM-CPA consistently improves robustness across standard corruption protocols
  • Maintained competitive clean accuracy with negligible computational overhead

Abstract

Rotation-invariant (RI) point cloud models aim to reduce sensitivity to viewpoint changes, but their performance still drops noticeably in real-world settings when local geometry is degraded by noise, occlusion, and uneven sampling. Once these disturbances propagate through deeper layers, they can lead to significant robustness degradation, especially for high-capacity RI backbones. To address this problem, we propose AGSM-CPA (Adaptive Geometric Signal Modulation with Cross-Perturbation Alignment), a lightweight and plug-and-play framework that enhances the robustness of RI models without altering their core convolutional operators. It integrates two complementary modules: the Geometric Signal-to-Noise Ratio (G-SNR) modulation mechanism, which adaptively suppresses unreliable neighborhoods based on local coordinate variance, and the Cross-Perturbation Semantic Consistency Alignment (CP-SCL) module, which enforces prediction consistency between weakly augmented inputs and strongly corrupted ones. We evaluate AGSM-CPA on ModelNet40, ScanObjectNN, and ShapeNetPart. Across standard corruption protocols, AGSM-CPA consistently improves robustness while maintaining competitive clean accuracy with negligible computational overhead. These results indicate that AGSM-CPA offers a practical, reliability-aware adapter for robust rotation-invariant point cloud learning.

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Cite This Study

Ge et al. (2026) studied this question.

synapsesocial.com/papers/6966f2f013bf7a6f02c00473https://doi.org/10.3390/math14020278
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