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Point-GN: A Non-Parametric Network Using Gaussian Positional Encoding for Point Cloud Classification
Mohammadi Marzieh ; Salarpour Amir

Abstract
This paper introduces Point-GN, a novel non-parametric network for efficientand accurate 3D point cloud classification. Unlike conventional deep learningmodels that rely on a large number of trainable parameters, Point-GN leveragesnon-learnable components-specifically, Farthest Point Sampling (FPS), k-NearestNeighbors (k-NN), and Gaussian Positional Encoding (GPE)-to extract both localand global geometric features. This design eliminates the need for additionaltraining while maintaining high performance, making Point-GN particularlysuited for real-time, resource-constrained applications. We evaluate Point-GNon two benchmark datasets, ModelNet40 and ScanObjectNN, achievingclassification accuracies of 85.29% and 85.89%, respectively, whilesignificantly reducing computational complexity. Point-GN outperforms existingnon-parametric methods and matches the performance of fully trained models, allwith zero learnable parameters. Our results demonstrate that Point-GN is apromising solution for 3D point cloud classification in practical, real-timeenvironments.
Code Repositories
Benchmarks
| Benchmark | Methodology | Metrics |
|---|---|---|
| training-free-3d-point-cloud-classification | Point-GN | Accuracy (%): 85.3 Need 3D Data?: Yes Parameters: 0M |
| training-free-3d-point-cloud-classification-1 | Point-GN | Accuracy (%): 86.4 Need 3D Data?: Yes Parameters: 0M |
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