As part of a study on Noisy and Perturbed Gradient Descent, three saddle point functions were created in 1-D. The two descent approaches were then implemented and observations were made on how they interact when they are initialised at the saddle point or come across them during descent.
All credits to creators of NGD and PGD
NGD : http://www.offconvex.org/2016/03/22/saddlepoints/
PGD : http://www.offconvex.org/2017/07/19/saddle-efficiency/