Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2915 2023 2023 Incorporating Kernels into Convolutional Neural Networks for Enhanced Feature Extraction Department of Statistics - College of Administration and Economics -University of Karbala-Iraq Sackineh Sackineh The simulation was used to evaluate the method of kernel K , Neural network NN, Convolution Neural network  CNN bys using (MINIST) data set. The accuracy of the method was tested and compared with the convolutional neural network as well as with the kernel function for the same input data (training and testing). The results of simulation showed that there is a high accuracy of the method, and at the same time there is a decreasing loss over the epochs, which indicates the. We note high smooth by method for recognize among features.   2024 2024 16 21 10.54216/PMTCS.040102 https://www.americaspg.com/articleinfo/40/show/2915