Machine Learning · Computer Science
Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networks
Yizheng Wang, Jia Sun, Jinshuai Bai, Cosmin Anitescu +4
2024-11-26
Numerical Analysis · Mathematics
A Unified Benchmark of Physics-Informed Neural Networks and Kolmogorov-Arnold Networks for Ordinary and Partial Differential Equations
Salvador K. Dzimah, Sonia Rubio Herranz, Fernando Carlos Lopez Hernandez, Antonio López Montes
2026-02-18
Numerical Analysis · Mathematics
PINN-Based Kolmogorov-Arnold Networks with RAR-D Adaptive Sampling for Solving Elliptic Interface Problems
Zijuan Xin, Chenyao Wang, Feng Shi, Yizhong Sun
2026-02-03
Machine Learning · Computer Science
From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning
Juan Diego Toscano, Vivek Oommen, Alan John Varghese, Zongren Zou +3
2024-10-23
Machine Learning · Computer Science
Integrating Symbolic Neural Networks with Building Physics: A Study and Proposal
Xia Chen, Guoquan Lv, Xinwei Zhuang, Carlos Duarte +2
2024-11-05
Machine Learning · Computer Science
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks
Khemraj Shukla, Juan Diego Toscano, Zhicheng Wang, Zongren Zou +1
2024-06-06
Machine Learning · Computer Science
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers for non-stationary and nonlinear simulations on arbitrary meshes
Tobias Würth, Niklas Freymuth, Clemens Zimmerling, Gerhard Neumann +1
2024-07-31
Machine Learning · Computer Science
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next
Salvatore Cuomo, Vincenzo Schiano di Cola, Fabio Giampaolo, Gianluigi Rozza +2
2022-06-08
Machine Learning · Computer Science
Physics Informed Kolmogorov-Arnold Neural Networks for Dynamical Analysis via Efficent-KAN and WAV-KAN
Subhajit Patra, Sonali Panda, Bikram Keshari Parida, Mahima Arya +3
2024-07-30
Systems and Control · Electrical Eng. & Systems
Physics-Informed AI Inverter
Qing Shen, Yifan Zhou, Peng Zhang, Yacov A. Shamash +2
2024-07-12
Machine Learning · Computer Science
DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations
Kai Luo, Juan Tang, Mingchao Cai, Xiaoqing Zeng +2
2025-04-24
Systems and Control · Electrical Eng. & Systems
On Physics-Informed Neural Network Control for Power Electronics
Peifeng Hui, Chenggang Cui, Pengfeng Lin, Amer M. Y. M. Ghias +2
2024-06-25
Machine Learning · Computer Science
MLPs and KANs for data-driven learning in physical problems: A performance comparison
Raghav Pant, Sikan Li, Xingjian Li, Hassan Iqbal +1
2025-04-16