Adaptive Hybrid Gradient-based Particle Swarm Optimization for Enhanced Neural Network Training

Okundalaye Oluwaseun Olumide *

Department of Mathematical Science, Adekunle Ajasin University, Akungba-Akoko, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

Optimizing deep neural networks (DNNs) presents significant challenges due to complex loss landscapes, hyperparameter sensitivity, and slow convergence rates. This study introduces a Hybrid Gradient-Based Particle Swarm Optimization (HG-PSO) framework that combines the global search capability of Particle Swarm Optimization (PSO) with the local refinement efficiency of gradient-based methods. The proposed approach dynamically balances exploration and exploitation, leading to improved convergence speed, reduced overfitting, and enhanced generalization performance. Experimental evaluations using benchmark datasets—Fashion-MNIST, SVHN, and Tiny ImageNet—demonstrate that HG-PSO outperforms traditional optimizers such as Stochastic Gradient Descent (SGD), Adam, and standalone PSO. HG-PSO achieves a 15% reduction in training errors and a 12% increase in validation accuracy on average. Additionally, the method exhibits superior robustness against noisy gradients, making it well-suited for real-world deep-learning applications. These results establish HG-PSO as a powerful and efficient optimization strategy for neural network training.

Keywords: Hybrid Optimization, Particle Swarm Optimization (PSO), deep neural networks (dnns), stochastic gradient descent (sgd), adaptive learning


How to Cite

Olumide, Okundalaye Oluwaseun. 2025. “Adaptive Hybrid Gradient-Based Particle Swarm Optimization for Enhanced Neural Network Training”. Asian Research Journal of Mathematics 21 (8):51-62. https://doi.org/10.9734/arjom/2025/v21i8971.

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