This folder contains all the functions and scripts used to implement the research paper titled "A Hessian-Free Gradient Flow (HFGF) method for the optimization of deep learning neural networks".

In order to test the code, and obtain the result which is Table 2 in the main research paper, which can be accessed below, download this folder, add its path to the Matlab, and simply run Test_HFGF script.

Due to the limited access to a high computational power machine, the high dimensional functions were not tested. Feel free to test them if possible.

Test_HFGF script will call the main code of the paper named main_HFGF and will send 4 different testing functions and return the information needed to construct the table. Inside the main_HFGF, there is a call to Armijo function to obtain the step size alpha.

https://www.sciencedirect.com/science/article/abs/pii/S0098135420303562

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