  We present a novel per-dimension learning rate method for gradient descent
called ADADELTA. The method dynamically adapts over time using only first order
information and has minimal computational overhead beyond vanilla stochastic
gradient descent. The method requires no manual tuning of a learning rate and
appears robust to noisy gradient information, different model architecture
choices, various data modalities and selection of hyperparameters. We show
promising results compared to other methods on the MNIST digit classification
task using a single machine and on a large scale voice dataset in a distributed
cluster environment.
