4 papers
PG-KINN: A Physics-Informed Petrov-Galerkin Kolmogorov-Arnold Network for Solving Forward and Inverse PDEs
Amirhossein Sadr, Nima Soltani, Vahideh Moghtadaiee +3
Physics-informed learning of partial differential equations (PDEs) has been dominated by multilayer perceptrons (MLPs), whose spectral bias and dense parameterization limit both ac…
ITS-Mina: A Harris Hawks Optimization-Based All-MLP Framework with Iterative Refinement and External Attention for Multivariate Time Series Forecasting
Pourya Zamanvaziri, Amirhossein Sadr, Aida Pakniyat +1
Multivariate time series forecasting plays a pivotal role in numerous real-world applications, including financial analysis, energy management, and traffic planning. While Transfor…
Solving the decision-making differential equations from eye fixation data in Unity software by using Hermite Long-Short-Term Memory neural network
Kourosh Parand, Saeed Setayeshi, Mir Mohsen Pedram +2
Cognitive decision-making processes are crucial aspects of human behavior, influencing various personal and professional domains. This research delves into the application of diffe…
Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation
Kourosh Parand, Aida Pakniyat
The Schrodinger equation is a mathematical equation describing the wave function's behavior in a quantum-mechanical system. It is a partial differential equation that provides valu…