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why should I prefer L1 over L2, in fully-connected-layer or convolution?

why use dropout between 2 layers, when there is the option of regularising a layer(or both) with something like L1 or L2? and one would also have the flexibility to use different regularisation techniques at each layer?

A lot of the times, trying out different techniques and comparing performance may cost time and money. So, when should I use(or prefer) one regularisation technique over other?

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