fkan: Fractional kolmogorov-arnold networks with trainable jacobi basis functions

AA Aghaei - Neurocomputing, 2025 - Elsevier
Recent advancements in neural network design have given rise to the development of
Kolmogorov-Arnold Networks (KANs), which enhance interpretability and precision of these …

Bridging machine learning and weighted residual methods for delay differential equations of fractional order

T Taheri, AA Aghaei, K Parand - Applied Soft Computing, 2023 - Elsevier
In this research, an attempt has been made to build a bridge between a machine learning
model called Least-Squares Support Vector Regression (LS-SVR) and Weighted Residual …

Solving a class of Thomas–Fermi equations: A new solution concept based on physics-informed machine learning

M Babaei, AA Aghaei, Z Kazemi, M Jamshidi… - … and Computers in …, 2024 - Elsevier
This paper presents a novel physics-informed machine learning approach, designed to
approximate solutions to a specific category of Thomas–Fermi differential equations. To …

Forecasting Upwelling Phenomena in Lake Laut Tawar: A Semi-Supervised Learning Approach

MZ Ulhaq, M Farid, ZI Aziza… - Infolitika Journal of …, 2024 - heca-analitika.com
The current climate change is causing the upwelling phenomenon to occur frequently in
lakes and reservoirs. As a result of this phenomenon, thousands of fish die, causing floating …

Solving Falkner-Skan type equations via Legendre and Chebyshev neural blocks

AA Aghaei, K Parand, A Nikkhah, S Jaberi - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper, a new deep-learning architecture for solving the non-linear Falkner-Skan
equation is proposed. Using Legendre and Chebyshev neural blocks, this approach shows …

Axial strength prediction of seawater sea sand concrete-filled circular FRP tubes under alkaline environment based on ensemble learning algorithms

MDCH Obando, M Iqbal, D Zhang, PF Zhang… - Thin-Walled …, 2024 - Elsevier
The rapid development of marine and urban infrastructure led to the extensive studies on
seawater sea sand concrete (SWSSC) filled fiber reinforced polymer (FRP)/steel tubes. The …

Hyperparameter optimization of orthogonal functions in the numerical solution of differential equations

AA Aghaei, K Parand - arXiv preprint arXiv:2304.14088, 2023 - arxiv.org
This paper considers the hyperparameter optimization problem of mathematical techniques
that arise in the numerical solution of differential and integral equations. The well-known …

Machine Learning-Driven Advances in Electrochemical Sensing: A Horizon Scan

K Murugan, K Gopalakrishnan… - Journal of The …, 2024 - iopscience.iop.org
The burgeoning intersection of machine learning (ML) with electrochemical sensing heralds
a transformative era in analytical science, pushing the boundaries of what's possible in …

LSTSVR+: Least square twin support vector regression with privileged information

A Kumari, M Tanveer - Engineering Applications of Artificial Intelligence, 2024 - Elsevier
In an educational setting, a teacher plays a crucial role in various classroom teaching
patterns. Similarly, mirroring this aspect of human learning, the learning using privileged …

A novel approach for solving linear Fredholm integro-differential equations via LS-SVM algorithm

H Sun, Y Lu - Applied Mathematics and Computation, 2024 - Elsevier
In this paper, an innovative numerical methodology is introduced for solving multiple types of
linear one-dimensional Fredholm integro-differential equations using least squares support …