In a Convolutional Neural Network $($CNN$),$ what are the roles of convolutional layers? $($Multi$-$Choice$)$

Options:

a$.$ To fully connect each neuron to every input pixel

b$.$ To apply non$-$linear transformations to the input

c$.$ To reduce the spatial dimensions of the input

d$.$ To pool features across different regions

e$.$ To detect local features in input data using learned filters