How to find the parameters of a non-linear model using neural network

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Dear All,
I am very new to Neural Networks, Can ypu please help me to get started. I am intersted to find the parameters of a model (say ) where θ is/are unknown parameter(s) and x is known values. I already know the response of my model say γ.
Forming it as a synthetic example:
so I have the response and I can pass to the forward model M. I want to guess θ using neural network approach. Can anyone please help ?
In a simplest form: It is like finding the m and c using straight line model () if you are given Y and X. Even if you can tell it on the straight line, I can apply it on my model.
Thanking You!

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