Propose a modification to the recurrent network architecture to mitigate the issue of vanishing gradients. Explain your reasoning and provide mathematical justification for the change.
Replace the standard LSTM architecture with a variant that uses a more robust gradient flow, such as a gated recurrent unit (GRU) or a dilated recurrent neural network. This modification will help alleviate the problem of vanishing gradients during backpropagation, leading to improved transcription accuracy and convergence rates.