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Describe a situation where Leaky ReLU is preferred over standard ReLU, and explain why.



Leaky ReLU is preferred over standard ReLU in situations where the 'dying ReLU' problem is prevalent. The dying ReLU problem occurs when a ReLU neuron becomes inactive and stops learning because its weights are updated such that it always receives negative inputs. Standard ReLU outputs zero for all negative inputs, which means that the gradient through that neuron will also be zero, preventing its weights from being updated. Leaky ReLU addresses this problem by allowing a small, non-zero gradient when the input is negative. Instead of outputting zero for negative inputs, Leaky ReLU outputs a small fraction of the input, typically 0.01 or 0.1. This small gradient allows the neuron to recover from being inactive and continue learning, even if it receives negative inputs. For example, if a deep neural network is being trained on a dataset where a significant portion of the inputs are negative, Leaky ReLU might be preferred over standard ReLU to prevent a large number of neurons from dying. This can lead to improved performance and faster convergence. Therefore, Leaky ReLU is a useful alternative to standard ReLU when the dying ReLU problem is a concern, as it allows neurons to remain active and continue learning, even when receiving negative inputs.