How to write a trained model as mathematical equation so as to include the model in scientific paper?

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I am using regression learning app in MATLAB for machine learning algorithm development. After evaluating all the algorithm in the data in hand, I have found that Gaussian Process Regression (kernel - exponential) is the best (least RMSE and high r square). Now my question is that how will I write this model as mathematical equation. Like in linear regression , I know that by considering all the slopes and intercept, i can form a equation. Can similar equation be formed for Gaussian Process Regression. If yes, how/where will I find that in MATLAB.
Please dont misunderstand the question, for exporting the model. There are enough quality tutorial available for exporting the model and then using it on a new dataset. My question is different, that is where to find the mathematical equation which could be written in academic papers.

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