Title
Why Regularized Auto-Encoders learn Sparse Representation?
Abstract
While the authors of Batch Normalization (BN) identify and address an important problem involved in training deep networks-- \textit{Internal Covariate Shift}-- the current solution has certain drawbacks. For instance, BN depends on batch statistics for layerwise input normalization during training which makes the estimates of mean and standard deviation of input (distribution) to hidden layers inaccurate due to shifting parameter values (especially during initial training epochs). Another fundamental problem with BN is that it cannot be used with batch-size $ 1 $ during training. We address these drawbacks of BN by proposing a non-adaptive normalization technique for removing covariate shift, that we call \textit{Normalization Propagation}. Our approach does not depend on batch statistics, but rather uses a data-independent parametric estimate of mean and standard-deviation in every layer thus being computationally faster compared with BN. We exploit the observation that the pre-activation before Rectified Linear Units follow Gaussian distribution in deep networks, and that once the first and second order statistics of any given dataset are normalized, we can forward propagate this normalization without the need for recalculating the approximate statistics for hidden layers.
Year
Venue
Field
2015
international conference on machine learning
Mathematical optimization,Rectifier (neural networks),Normalization (statistics),Covariate shift,Sparse approximation,Auto encoders,Parametric statistics,Gaussian,Artificial intelligence,Standard deviation,Mathematics,Machine learning
DocType
Volume
Citations 
Journal
abs/1505.05561
4
PageRank 
References 
Authors
0.38
14
4
Name
Order
Citations
PageRank
Devansh Arpit114614.24
Yingbo Zhou226319.43
Hung Q. Ngo367056.62
Venu Govindaraju43521422.00