A comprehensive and FAIR comparison between MLP and KAN representations
for differential equations and operator networks

A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks

5 June 2024

Juan Diego Toscano

George Karniadakis

Papers citing "A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks"

14 / 14 papers shown

Title
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs Sidharth S. Menon Ameya D. Jagtap PINN 122 0 0 06 May 2025
Low Tensor-Rank Adaptation of Kolmogorov--Arnold Networks Yihang Gao Michael K. Ng Vincent Y. F. Tan 72 0 0 17 Feb 2025
SineKAN: Kolmogorov-Arnold Networks Using Sinusoidal Activation Functions Eric A. F. Reinhardt P. R. Dinesh S. Gleyzer 67 11 0 28 Jan 2025
Sinc Kolmogorov-Arnold Network and Its Applications on Physics-informed Neural Networks Tianchi Yu Jingwei Qiu Jiang Yang Ivan V. Oseledets 21 2 0 05 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 38 7 0 02 Oct 2024
On the expressiveness and spectral bias of KANs Yixuan Wang Jonathan W. Siegel Ziming Liu Thomas Y. Hou 32 9 0 02 Oct 2024
Kolmogorov-Arnold Networks in Low-Data Regimes: A Comparative Study with Multilayer Perceptrons Farhad Pourkamali-Anaraki 28 5 0 16 Sep 2024
rKAN: Rational Kolmogorov-Arnold Networks Alireza Afzal Aghaei 34 18 0 20 Jun 2024
Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation SS Sidharth Keerthana AR R. Gokul Anas KP 54 74 0 12 May 2024
Kolmogorov-Arnold Networks are Radial Basis Function Networks Ziyao Li 46 68 0 10 May 2024
Parallel Physics-Informed Neural Networks via Domain Decomposition K. Shukla Ameya Dilip Jagtap George Karniadakis PINN 101 274 0 20 Apr 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 203 2,282 0 18 Oct 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 172 758 0 13 Mar 2020
MCMC using Hamiltonian dynamics Radford M. Neal 176 3,260 0 09 Jun 2012