A consistent learning rate throughout the training process is not optimal. It is suggested to start with a faster learning rate and larger steps early on in training when the model is learning from scratch, then gradually reduce the learning rate as the model improves. Strategies like momentum-based techniques can help optimize the learning rate intelligently using sophisticated heuristics. The optimal learning rate is noted to be 10^-4, known as the 'magic number' by Andrei Kapafi.
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