This document discusses the use of the Arithmetic Optimization Algorithm (AOA) for automating the hyper-parameter tuning of deep neural networks (DNNs) particularly in the context of the Lorenz chaotic system. The study demonstrates that AOA outperforms traditional methods like Particle Swarm Optimization (PSO) in terms of accuracy and efficiency. The proposed approach includes a comprehensive framework for optimized hyper-parameter selection, exhibiting improved performance in practical applications compared to manual tuning methods.