activity
20232025
most citedrKAN: Rational Kolmogorov-Arnold Networks

16 citations · 37 across the 11 of their papers we have counts for

collaborators

12 papers

cs.LG2025

Log-Sum-Exponential Estimator for Off-Policy Evaluation and Learning

Armin Behnamnia, Gholamali Aminian, Alireza Aghaei +3

Off-policy learning and evaluation leverage logged bandit feedback datasets, which contain context, action, propensity score, and feedback for each data point. These scenarios face…

cs.LG2025

Personalized Control for Lower Limb Prosthesis Using Kolmogorov-Arnold Networks

SeyedMojtaba Mohasel, Alireza Afzal Aghaei, Corey Pew

Objective: This paper investigates the potential of learnable activation functions in Kolmogorov-Arnold Networks (KANs) for personalized control in a lower-limb prosthesis. In addi…

cs.LG2025★ 1 cited

TabKAN: Advancing Tabular Data Analysis using Kolmogorov-Arnold Network

Ali Eslamian, Alireza Afzal Aghaei, Qiang Cheng

Tabular data analysis presents unique challenges that arise from heterogeneous feature types, missing values, and complex feature interactions. While traditional machine learning m…

math.OC2024★ 1 cited

KANtrol: A Physics-Informed Kolmogorov-Arnold Network Framework for Solving Multi-Dimensional and Fractional Optimal Control Problems

Alireza Afzal Aghaei

In this paper, we introduce the KANtrol framework, which utilizes Kolmogorov-Arnold Networks (KANs) to solve optimal control problems involving continuous time variables. We explai…

cs.LG2024★ 1 cited

A Physics-Informed Machine Learning Approach for Solving Distributed Order Fractional Differential Equations

Alireza Afzal Aghaei

This paper introduces a novel methodology for solving distributed-order fractional differential equations using a physics-informed machine learning framework. The core of this appr…

cs.LG2024

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.…

cs.LG2024★ 16 cited

rKAN: Rational Kolmogorov-Arnold Networks

Alireza Afzal Aghaei

The development of Kolmogorov-Arnold networks (KANs) marks a significant shift from traditional multi-layer perceptrons in deep learning. Initially, KANs employed B-spline curves a…

cs.LG2024★ 4 cited

fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functions

Alireza Afzal Aghaei

Recent advancements in neural network design have given rise to the development of Kolmogorov-Arnold Networks (KANs), which enhance speed, interpretability, and precision. This pap…

math.NA2024★ 1 cited

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…

cs.LG2024★ 1 cited

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…

cs.LG2023★ 5 cited

deepFDEnet: A Novel Neural Network Architecture for Solving Fractional Differential Equations

Ali Nosrati Firoozsalari, Hassan Dana Mazraeh, Alireza Afzal Aghaei +1

The primary goal of this research is to propose a novel architecture for a deep neural network that can solve fractional differential equations accurately. A Gaussian integration r…

cs.LG2023★ 7 cited

Solving Falkner-Skan type equations via Legendre and Chebyshev Neural Blocks

Alireza Afzal Aghaei, Kourosh Parand, Ali Nikkhah +1

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 how or…