curve fitting with 4 variables

For my disseration i have designed and genreated a few models and carried out simualtions. the final procress is to curve fit the variabels i have changed for example height, thickness etc for the purposes of the qustion lets call them a b c d for which I have the maximum reaction forces.

I tried using curve fitting toolbox however, this doesn't take into account all variables i have changed and therefore in accucarate.

Does anyone have any recommnedations for ways to solve the curve fitting problem for multi-variable problems when i do not have an equation already in mind?

Answer 1

[Krishna]

Hello Daniel,

If you're looking to fit a curve without a predefined equation, Machine Learning or Deep Learning can be a valuable approach for solving multivariate problems like yours. Specifically, for regression tasks, such as the one you're dealing with, employing neural networks can help approximate the curve for your multi-variable features. You can begin your journey with neural networks in MATLAB by referring to this resource:

https://in.mathworks.com/help/stats/neural-networks-for-regression.html

Moreover, there are various machine learning methodologies available, and the choice often depends on the specific problem at hand. To gain a deeper understanding of how to apply machine learning to supervised regression problems, I recommend exploring this resource:

https://towardsdatascience.com/selecting-the-best-machine-learning-algorithm-for-your-regression-problem-20c330bad4ef