Systems and methods may make exchanging data in a neural network (NN) during training more efficient. Exchanging weights among a number of processors training a NN across iterations may include sorting generated weights, compressing the sorted weights, and transmitting the compressed sorted weights. On each Kth iteration a sort order of the sorted weights may be created and transmitted. Exchanging weights among processors training a NN may include executing a forward pass to produce a set of loss values for processors, transmitting loss values to other processors, and at each of the processors, performing backpropagation on at least one layer of the NN using loss values received from other processors.