Ballistic penetration problems involve complex, multi-parameter interactions between projectile geometry, impact velocity, target thickness, and obliquity. Classical analytical models (e.g., Recht-Ipson) capture single-variable trends but fail to generalise across parameter combinations. This research develops data-driven surrogate models for ballistic penetration — using ANN combined with SVD/CP tensor decomposition (the same methodology established in constitutive modeling) to predict ballistic limit velocity (BLV) and residual velocity across the full multi-parameter impact space. The surrogate models are trained on experimental datasets augmented by validated FEM simulations, enabling accurate, physics-grounded predictions for protective structure design.