Neural Network System and Training Method

Neural network systems and methods are provided. One method for processing a neural network includes, for at least one neural network layer that includes a plurality of weights, applying an offset function to each of a plurality of weight values in the plurality of weights to generate an offset weight value, and quantizing the offset weight values to form quantized offset weight values. The plurality of weights are pruned. One method for executing a neural network includes reading, from a memory, at least one neural network layer that includes quantized offset weight values and an offset value α, and performing a neural network layer operation on an input feature map, based on the quantized offset weight values and the offset value α, to generate an output feature map. The quantized offset weight values are signed integer numbers.