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This study presents a dataset-driven comparative analytical investigation of polymer nanocomposites reinforced with metal oxide nanoparticles to evaluate the influence of magnesium oxide (MgO) and copper oxide (CuO) binders on structural, mechanical, thermal, and functional performance characteristics. Polyvinyl alcohol (PVA) was used as the polymer matrix for the comparative evaluation of MgO- and CuO-based nanocomposite production system. The analysis was conducted using the Metal-Oxide Dataset, comprising 120 material-property observations from MgO- and CuO-based polymer nanocomposite systems. Binder concentrations of 1 wt%, 3 wt%, and 5 wt% were comparatively evaluated using equation-based performance indices, multi-head interaction analysis, and rule-based computational classification models implemented in Python 3.11. Statistical validation was performed using 5-fold cross-validation with five replicate computational runs, and all reported results were expressed as mean ± standard deviation. The comparative analysis indicates that MgO-based systems exhibit relatively improved dispersion behavior, thermal stability, and mechanical reinforcement characteristics, whereas CuO-based systems demonstrate enhanced functional performance, particularly in conductivity-related production applications. Overall, the findings highlight the importance of binder selection in influencing polymer nanocomposite behavior within a structured computational and comparative analytical framework.