Kolmogorov-Arnold Networks (KANs) are being explored as an alternative to Multilayer Perceptrons (MLPs) in deep learning.
KANs have been integrated into various deep learning architectures, but their use in point-cloud-based neural networks has not been studied.
A new model, PointNet-KAN, combines KANs instead of MLPs in the PointNet framework for 3D point cloud classification and segmentation.
PointNet-KAN utilizes shared KAN layers and symmetric functions to maintain permutation invariance for global feature extraction.
Unlike MLPs that train weights and biases with fixed activation functions, KANs aim to train the activation functions themselves.
Jacobi polynomials are used to construct the KAN layers in this new model.
Extensive evaluations show that PointNet-KAN performs competitively with PointNet using MLPs on benchmark datasets for 3D object classification and segmentation.
Despite being a simpler architecture, PointNet-KAN achieves good results, even with shallower networks.
A hybrid model incorporating both KAN and MLP layers was also studied in this work.
The study aims to lay a foundation for integrating KANs into more advanced point cloud processing architectures.