Kolmogorov Arnold Network
Kolmogorov-Arnold Networks (KANs) are a novel type of neural network architecture that uses learnable activation functions placed on edges, rather than nodes, offering a potential alternative to traditional Multi-Layer Perceptrons (MLPs). Current research focuses on improving KAN efficiency and accuracy through variations like SincKANs and EKANs (Equivariant KANs), exploring their application in diverse fields such as image processing, function approximation, and solving partial differential equations. The significance of KANs lies in their potential for enhanced interpretability and performance in specific tasks, although comparisons with MLPs reveal varying degrees of success depending on the application and dataset characteristics.
Papers
Gaussian Process Kolmogorov-Arnold Networks
Andrew Siyuan Chen
Physics Informed Kolmogorov-Arnold Neural Networks for Dynamical Analysis via Efficent-KAN and WAV-KAN
Subhajit Patra, Sonali Panda, Bikram Keshari Parida, Mahima Arya, Kurt Jacobs, Denys I. Bondar, Abhijit Sen
Exploring the Limitations of Kolmogorov-Arnold Networks in Classification: Insights to Software Training and Hardware Implementation
Van Duy Tran, Tran Xuan Hieu Le, Thi Diem Tran, Hoai Luan Pham, Vu Trung Duong Le, Tuan Hai Vu, Van Tinh Nguyen, Yasuhiko Nakashima
Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks
Spyros Rigas, Michalis Papachristou, Theofilos Papadopoulos, Fotios Anagnostopoulos, Georgios Alexandridis
2D and 3D Deep Learning Models for MRI-based Parkinson's Disease Classification: A Comparative Analysis of Convolutional Kolmogorov-Arnold Networks, Convolutional Neural Networks, and Graph Convolutional Networks
Salil B Patel, Vicky Goh, James F FitzGerald, Chrystalina A Antoniades