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 Deep Learning


Analytic Insights into Structure and Rank of Neural Network Hessian Maps Sidak Pal Singh

Neural Information Processing Systems

This yields exact formulas and tight upper bounds for the Hessian rank of deep linear networks -- allowing for an elegant interpretation in terms of rank deficiency. Moreover, we demonstrate that our bounds remain faithful as an estimate of the numerical Hessian rank, for a larger class of models such as rectified and hyperbolic tangent networks.








A Appendix

Neural Information Processing Systems

In this supplementary material, we first provide detailed network architectures in Sec. Then details of metrics utilized in our experiments are demonstrated in Sec. We give more implementation details in Sec. We further introduce our utilized datasets in Sec. A.5. Limitations and broader impact are then discussed in Sec.