Julia to Matlab Code Translation

I need assistance in translating my Julia code into Matlab. The primary purpose of the code revolves around structural estimation. It is crucial to note that there are specific Julia packages used in the code that require equivalent Matlab functions, particularly the ForwardDiff package.

Ideal candidate skills:
- Proficient in both Julia and Matlab
- Familiar with structural estimation
- Experience in translating code between these two languages
- Knowledge of the ForwardDiff package and its Matlab equivalent