African Geometry and Topology (Pure Science) | 21 October 2001
Regularization and Model Selection in Numerical Optimization for Telecom Network Reliability in Ethiopia 2001
M, u, l, u, g, e, t, a, B, e, z, a, b, i, h, ,, T, e, s, f, a, y, e, G, e, b, r, e, h, i, w, e, t
Abstract
This study addresses the optimization of telecom network reliability in Ethiopia by applying numerical methods to improve network performance. Regularization and model selection criteria such as cross-validation are employed to optimise telecom networks in Ethiopia. Theoretical assumptions include the use of convex optimization problems, while key properties ensure stability and efficiency in network configurations. A specific proportion (60%) of simulated network failures were successfully mitigated by applying regularization techniques, demonstrating improved reliability. The findings suggest that regularization and cross-validation significantly enhance telecom network resilience in Ethiopia. Implementing these methods should be considered for future network upgrades to ensure robust performance. Model selection is formalised as $\hat{\theta}=argmin_{\theta\in\Theta}\{L(\theta)+\lambda\,\Omega(\theta)\}$ with consistency under mild identifiability assumptions.