The vanishing gradient problem occurs in deep neural networks when gradients become very small, halting the learning process in certain layers.
Activation functions like sigmoid or tanh can contribute to the vanishing gradient problem by mapping large input values to small output ranges.
Strategies to address the vanishing gradient problem include using the Rectified Linear Unit (ReLU) activation function, batch normalization, gradient clipping, and residual networks.
Innovations in activation functions, layer design, and normalization techniques have allowed for training deeper networks and overcoming the vanishing gradient problem.