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RSM-ANN-GA framework for predictive modeling and optimization of sonocatalytic eosin dye degradation using ZnO@SiO2
G V Aatral1, V Chitra Devi2, S Mothil3
1Department of Chemical Engineering, Erode Sengunthar Engineering College, Thudupathi, Perundurai, Erode 638 057, Tamil Nadu, India.
Abstract:
This study investigates the removal of Eosin Yellow, a xanthene-based synthetic dye with low biodegradability and high aquatic toxicity, from industrial wastewater using a ZnO@SiO₂ sonocatalyst. The effects of ultrasonic frequency, pH, catalyst dosage, initial dye concentration, and electrolytes on dye decolorization and Chemical Oxygen Demand (COD) reduction were examined. A hybrid modeling framework combining Artificial Neural Networks (ANN) and Response Surface Methodology (RSM) was developed to optimize the process. ANN architectures with 2, 4, 10, 16, and 20 hidden layers were evaluated, with hyperparameters tuned via Bayesian optimization. Model performance was assessed using MAE, RMSE, and R2 with 95% confidence intervals, and parity plots with prediction intervals were generated to ensure predictive reliability. Comparative analysis demonstrated the superior predictive accuracy and generalization ability of the 10-layer ANN over RSM. Electrolyte addition influenced reaction kinetics, while optimization of process parameters enabled efficient dye removal and COD reduction. This work establishes a reproducible framework integrating sonocatalysis with computational intelligence, providing a robust approach for modeling, optimization, and mechanistic investigation of complex dye wastewater treatment systems.
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Prediction Intervals
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.

