Deep Learning: Assuming a deep neural network is properly regulated, can adding more layers actually...

深网路层数增加之谜
探讨深层神经网络中增加层数是否会导致性能下降的问题。Yoshua Bengio指出,在不改变层大小的情况下增加层数理论上应提高模型容量,但可能会导致过拟合;若训练误差增加,则可能是优化难度加大所致。

Deep Learning: Assuming a deep neural network is properly regulated, can adding more layers actually make the performance degrade?

I found this to be really puzzling. A deeper NN is supposed to be more powerful or at least equal to a shallower NN. I have already used dropout to prevent overfitting. How can the performance be degraded?
Yoshua's Answer
Yoshua Bengio 
Yoshua BengioMy lab has been one of the three that started the deep learning approach, bac...
Upvoted by  Prateek TandonRobotics and Strong Artificial Intelligence Researcher• Paul KingComputational Neuroscientist, Technology Entrepreneur • Jack Rae,Google DeepMind Research Engineer
 
If you do not change the size of the layers and just add more layers, capacity should increase, so you could be overfitting. However, you should check whether training error increases or decreases. If it increases (which is also very plausible), it means that adding the layer made the optimization harder, with the optimization methods and initialization that you are using.  That could also explain your problem. However, if training error decreases and test error increases, you are overfitting.
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