  Neural Networks are prone to having lesser accuracy in the classification of
images with noise perturbation. Convolutional Neural Networks, CNNs are known
for their unparalleled accuracy in the classification of benign images. But our
study shows that they are extremely vulnerable to noise addition while
Feed-forward Neural Networks, FNNs show very less correspondence with noise
perturbation, maintaining their accuracy almost undisturbed. FNNs are observed
to be better at classifying noise-intensive, single-channeled images that are
just sheer noise to human vision. In our study, we have used the hand-written
digits dataset, MNIST with the following architectures: FNNs with 1 and 2
hidden layers and CNNs with 3, 4, 6 and 8 convolutions and analyzed their
accuracies. FNNs stand out to show that irrespective of the intensity of noise,
they have a classification accuracy of more than 85%. In our analysis of CNNs
with this data, the deceleration of classification accuracy of CNN with 8
convolutions was half of that of the rest of the CNNs. Correlation analysis and
mathematical modelling of the accuracy trends act as roadmaps to these
conclusions.
