245 citations · 562 across the 35 of their papers we have counts for
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PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems
Alireza Afzal Aghaei, Mahdi Movahedian Moghaddam, Kourosh Parand
This paper introduces an efficient tensor-vector product technique for the rapid and accurate approximation of integral operators within physics-informed deep learning frameworks.…
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…
An Orthogonal Polynomial Kernel-Based Machine Learning Model for Differential-Algebraic Equations
Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand
The recent introduction of the Least-Squares Support Vector Regression (LS-SVR) algorithm for solving differential and integral equations has sparked interest. In this study, we ex…
Accelerating Fractional PINNs using Operational Matrices of Derivative
Tayebeh Taheri, Alireza Afzal Aghaei, Kourosh Parand
This paper presents a novel operational matrix method to accelerate the training of fractional Physics-Informed Neural Networks (fPINNs). Our approach involves a non-uniform discre…
Using Singular Value Decomposition in a Convolutional Neural Network to Improve Brain Tumor Segmentation Accuracy
Pegah Ahadian, Maryam Babaei, Kourosh Parand
A brain tumor consists of cells showing abnormal brain growth. The area of the brain tumor significantly affects choosing the type of treatment and following the course of the dise…