A CNN and MLP are introduced to build a surrogate model for radiative heat transfer in 2-D furnaces with spectrally participative gases.CNN architecture is adapted for the problem inputs, resulting in a significant speedup and accuracy compared to the classical solver.The performance of CNN is compared to MLP in terms of speed, accuracy, and robustness to hyper-parameter changes.Results show CNN outperforms MLP in precision and stability while providing a deeper understanding of model behavior with dataset size analysis.