The winning lottery ticket
In 2019 Jonathan Frankle and Michael Carbin at MIT ran a curious experiment. They pruned a trained network, then took the small network that was left, reset it to its starting weights and trained it on its own. With 10 or 20 percent of the weights, it reached the same accuracy as the full network.
They called it the lottery ticket hypothesis. A big network contains many small networks, and training finds the lucky one. It doesn't tell you how to find it before training, but it explains why pruning works so well.