Title
Singularity of the Hessian in Deep Learning.
Abstract
We look at the eigenvalues of the Hessian of a loss function before and after training. The eigenvalue distribution is seen to be composed of two parts, the bulk which is concentrated around zero, and the edges which are scattered away from zero. We present empirical evidence for the bulk indicating how over-parametrized the system is, and for the edges indicating the complexity of the input data.
Year
Venue
Field
2016
arXiv: Learning
Algebra,Mathematical analysis,Singularity,Hessian matrix,Artificial intelligence,Deep learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1611.07476
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Levent Sagun102.03
Léon Bottou2117541364.56
Yann LeCun3260903771.21