How can I train a Neural Network using a custom functional in MATLAB?

02 February 2019 7 9K Report

Hello, I'm trying to solve an optimisation problem with a Neural Network (similarly to the Reinforcement Learning concept) applied to a UAV:

The NN would have two state inputs (vehicle's velocity and path's shape), and must calculate a control parameter, let's say "L", that is then used in a path following controller in such a way that this controller becomes adaptive to the velocity and shape of the followed path.

The problem is that I don't know the optimal value of "L" for a given velocity and path shape. Thus, I can not give to the NN a pair of inputs-target to train it. Nevertheless, I can implement a functional that for a given velocity, path shape and value of "L" computes a value of performance.

The question is: how can I implement a NN that can be trained using a functional and not using set of inputs-target pair in MATLAB?

Thank you for your attention.

Bartomeu Rubí

Thank you for your answer.

I already checked the nntool from the Neural Network Toolbox, but I was not able to found how to train the NN using a custom functional that I defined.

Apparently, using this tool you can only choose from several predefined training algorithms, such as Levenberg-Marquardt, Resilient Backpropagation or Conjugate Gradient. In these algorithms the loss function to update the weights of the NN relies on the error between the network output and the target, thus it are not suited for my particular problem (I do not have any target to train with).

Could you explain me how can I define a custom functional (not a transfer function) to update the weighs of the NN in nntool?

Bartomeu Rubí

Thank you for your answer.

As far as I know, S-funtion is used inside the Simulink environment. However, I'm working outside simulink, by means of .m files. Even so, do you know how can I train a NN with a custom loss funtion inside an S-Function?

Dr R Senthilkumar

The mathworks weblink give u sufficient information:

1. https://in.mathworks.com/help/deeplearning/ref/train.html

2. https://in.mathworks.com/help/deeplearning/ug/choose-a-multilayer-neural-network-training-function.html

3. https://in.mathworks.com/help/deeplearning/ug/train-and-apply-multilayer-neural-networks.html

4. https://in.mathworks.com/help/deeplearning/ug/try-deep-learning-in-10-lines-of-matlab-code.html

Useful video lecture on Neural Network toolbox

https://www.youtube.com/watch?v=2Z4959acjKs

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