Currently, deep neural networks are the state of the art on problems such as
speech recognition and computer vision. In this extended abstract, we show that
shallow feed-forward networks can learn the complex functions previously
learned by deep nets and achieve accuracies previously only achievable with
deep models. Moreover, in some cases the shallow neural nets can learn these
deep functions using a total number of parameters similar to the original deep
model. We evaluate our method on the TIMIT phoneme recognition task and are
able to train shallow fully-connected nets that perform similarly to complex,
well-engineered, deep convolutional architectures. Our success in training
shallow neural nets to mimic deeper models suggests that there probably exist
better algorithms for training shallow feed-forward nets than those currently
available.

该研究表明，浅层前馈神经网络可以学习先前由深层网络学习的复杂函数，并且可以达到仅用深度模型可以实现的准确度，在 TIMIT 语音识别任务中，没有经过复杂设计的浅层神经网络能够表现类似于深度卷积网络，并且成功地训练浅层神经网络模仿更深层次模型的方法表明，可能存在比当前更好的训练浅层前馈网络的算法。