Training models can be enhanced by making the precision of weight representations trainable, allowing the model to dynamically adjust how weights are represented during training. This not only enables the model to learn the optimal values of the weights but also to determine the necessary precision for each weight. As the model trains, it can reduce the bit representation for certain weights, sometimes down to zero, effectively pruning unnecessary weights from the network. This leads to a decrease in model complexity over time, resulting in shorter training times for each epoch as the amount of required computation diminishes. The model essentially re-architects itself, becoming more efficient with ongoing training.

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